From ad15bc532d712551a88cf8ca02098423cf40d3e0 Mon Sep 17 00:00:00 2001
From: peters <peters@irmb.tu-bs.de>
Date: Fri, 19 Mar 2021 19:47:55 +0100
Subject: [PATCH] Add Cumulant header to lbm with refactoring in the gpu
modules.
---
.../VirtualFluids_GPU/GPU/Cumulant27chim.cu | 5055 ++++++++++-------
src/gpu/VirtualFluids_GPU/GPU/GPU_Interface.h | 30 +
src/gpu/VirtualFluids_GPU/GPU/GPU_Kernels.cuh | 29 +
src/gpu/VirtualFluids_GPU/GPU/LBMKernel.cu | 66 +
src/gpu/VirtualFluids_GPU/LBM/D3Q27.h | 1 +
src/lbm/ChimeraTests.cpp | 42 +-
src/lbm/CumulantChimera.h | 435 ++
src/lbm/D3Q27.h | 28 +
8 files changed, 3565 insertions(+), 2121 deletions(-)
create mode 100644 src/lbm/CumulantChimera.h
diff --git a/src/gpu/VirtualFluids_GPU/GPU/Cumulant27chim.cu b/src/gpu/VirtualFluids_GPU/GPU/Cumulant27chim.cu
index 415a2455e..a8c4b7ce6 100644
--- a/src/gpu/VirtualFluids_GPU/GPU/Cumulant27chim.cu
+++ b/src/gpu/VirtualFluids_GPU/GPU/Cumulant27chim.cu
@@ -1,10 +1,35 @@
-// _ ___ __ __________ _ __ ______________ __
-// | | / (_)____/ /___ ______ _/ / ____/ /_ __(_)___/ /____ / ___/ __ / / / /
-// | | / / / ___/ __/ / / / __ `/ / /_ / / / / / / __ / ___/ / /___/ /_/ / / / /
-// | |/ / / / / /_/ /_/ / /_/ / / __/ / / /_/ / / /_/ (__ ) / /_) / ____/ /__/ /
-// |___/_/_/ \__/\__,_/\__,_/_/_/ /_/\__,_/_/\__,_/____/ \____/_/ \_____/
+//=======================================================================================
+// ____ ____ __ ______ __________ __ __ __ __
+// \ \ | | | | | _ \ |___ ___| | | | | / \ | |
+// \ \ | | | | | |_) | | | | | | | / \ | |
+// \ \ | | | | | _ / | | | | | | / /\ \ | |
+// \ \ | | | | | | \ \ | | | \__/ | / ____ \ | |____
+// \ \ | | |__| |__| \__\ |__| \________/ /__/ \__\ |_______|
+// \ \ | | ________________________________________________________________
+// \ \ | | | ______________________________________________________________|
+// \ \| | | | __ __ __ __ ______ _______
+// \ | | |_____ | | | | | | | | | _ \ / _____)
+// \ | | _____| | | | | | | | | | | \ \ \_______
+// \ | | | | |_____ | \_/ | | | | |_/ / _____ |
+// \ _____| |__| |________| \_______/ |__| |______/ (_______/
//
-//////////////////////////////////////////////////////////////////////////
+// This file is part of VirtualFluids. VirtualFluids is free software: you can
+// redistribute it and/or modify it under the terms of the GNU General Public
+// License as published by the Free Software Foundation, either version 3 of
+// the License, or (at your option) any later version.
+//
+// VirtualFluids is distributed in the hope that it will be useful, but WITHOUT
+// ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+// FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+// for more details.
+//
+// You should have received a copy of the GNU General Public License along
+// with VirtualFluids (see COPYING.txt). If not, see <http://www.gnu.org/licenses/>.
+//
+//! \file Cumulant27chim.cu
+//! \ingroup GPU
+//! \author Martin Schoenherr
+//=======================================================================================
/* Device code */
#include "LBM/LB.h"
#include "LBM/D3Q27.h"
@@ -12,882 +37,1706 @@
#include "math.h"
#include <lbm/Chimera.h>
+#include <lbm/CumulantChimera.h>
+
+
+
+__device__ Distributions27 getDistributions27(real* distributions, unsigned int size_Mat, bool isEvenTimestep)
+{
+ Distributions27 dist;
+ if (isEvenTimestep)
+ {
+ dist.f[dirE ] = &distributions[dirE *size_Mat];
+ dist.f[dirW ] = &distributions[dirW *size_Mat];
+ dist.f[dirN ] = &distributions[dirN *size_Mat];
+ dist.f[dirS ] = &distributions[dirS *size_Mat];
+ dist.f[dirT ] = &distributions[dirT *size_Mat];
+ dist.f[dirB ] = &distributions[dirB *size_Mat];
+ dist.f[dirNE ] = &distributions[dirNE *size_Mat];
+ dist.f[dirSW ] = &distributions[dirSW *size_Mat];
+ dist.f[dirSE ] = &distributions[dirSE *size_Mat];
+ dist.f[dirNW ] = &distributions[dirNW *size_Mat];
+ dist.f[dirTE ] = &distributions[dirTE *size_Mat];
+ dist.f[dirBW ] = &distributions[dirBW *size_Mat];
+ dist.f[dirBE ] = &distributions[dirBE *size_Mat];
+ dist.f[dirTW ] = &distributions[dirTW *size_Mat];
+ dist.f[dirTN ] = &distributions[dirTN *size_Mat];
+ dist.f[dirBS ] = &distributions[dirBS *size_Mat];
+ dist.f[dirBN ] = &distributions[dirBN *size_Mat];
+ dist.f[dirTS ] = &distributions[dirTS *size_Mat];
+ dist.f[dirREST] = &distributions[dirREST*size_Mat];
+ dist.f[dirTNE ] = &distributions[dirTNE *size_Mat];
+ dist.f[dirTSW ] = &distributions[dirTSW *size_Mat];
+ dist.f[dirTSE ] = &distributions[dirTSE *size_Mat];
+ dist.f[dirTNW ] = &distributions[dirTNW *size_Mat];
+ dist.f[dirBNE ] = &distributions[dirBNE *size_Mat];
+ dist.f[dirBSW ] = &distributions[dirBSW *size_Mat];
+ dist.f[dirBSE ] = &distributions[dirBSE *size_Mat];
+ dist.f[dirBNW ] = &distributions[dirBNW *size_Mat];
+ }
+ else
+ {
+ dist.f[dirW ] = &distributions[dirE *size_Mat];
+ dist.f[dirE ] = &distributions[dirW *size_Mat];
+ dist.f[dirS ] = &distributions[dirN *size_Mat];
+ dist.f[dirN ] = &distributions[dirS *size_Mat];
+ dist.f[dirB ] = &distributions[dirT *size_Mat];
+ dist.f[dirT ] = &distributions[dirB *size_Mat];
+ dist.f[dirSW ] = &distributions[dirNE *size_Mat];
+ dist.f[dirNE ] = &distributions[dirSW *size_Mat];
+ dist.f[dirNW ] = &distributions[dirSE *size_Mat];
+ dist.f[dirSE ] = &distributions[dirNW *size_Mat];
+ dist.f[dirBW ] = &distributions[dirTE *size_Mat];
+ dist.f[dirTE ] = &distributions[dirBW *size_Mat];
+ dist.f[dirTW ] = &distributions[dirBE *size_Mat];
+ dist.f[dirBE ] = &distributions[dirTW *size_Mat];
+ dist.f[dirBS ] = &distributions[dirTN *size_Mat];
+ dist.f[dirTN ] = &distributions[dirBS *size_Mat];
+ dist.f[dirTS ] = &distributions[dirBN *size_Mat];
+ dist.f[dirBN ] = &distributions[dirTS *size_Mat];
+ dist.f[dirREST] = &distributions[dirREST*size_Mat];
+ dist.f[dirBSW ] = &distributions[dirTNE *size_Mat];
+ dist.f[dirBNE ] = &distributions[dirTSW *size_Mat];
+ dist.f[dirBNW ] = &distributions[dirTSE *size_Mat];
+ dist.f[dirBSE ] = &distributions[dirTNW *size_Mat];
+ dist.f[dirTSW ] = &distributions[dirBNE *size_Mat];
+ dist.f[dirTNE ] = &distributions[dirBSW *size_Mat];
+ dist.f[dirTNW ] = &distributions[dirBSE *size_Mat];
+ dist.f[dirTSE ] = &distributions[dirBNW *size_Mat];
+ }
+ return dist;
+}
+
+struct ABC
+{
+ __device__ ABC(uint k,
+ uint kw,
+ uint ks,
+ uint kb,
+ uint ksw,
+ uint kbw,
+ uint kbs,
+ uint kbsw) :
+ k(k),
+ kw (kw),
+ ks (ks),
+ kb (kb),
+ ksw (ksw),
+ kbw (kbw),
+ kbs (kbs),
+ kbsw (kbsw)
+ {}
+
+ __device__ void read(const Distributions27& dist)
+ {
+ distribution.f[VF::LBM::DIR::PZZ] = (dist.f[dirE ])[k];
+ distribution.f[VF::LBM::DIR::MZZ] = (dist.f[dirW ])[kw];
+ distribution.f[VF::LBM::DIR::ZPZ] = (dist.f[dirN ])[k];
+ distribution.f[VF::LBM::DIR::ZMZ] = (dist.f[dirS ])[ks];
+ distribution.f[VF::LBM::DIR::ZZP] = (dist.f[dirT ])[k];
+ distribution.f[VF::LBM::DIR::ZZM] = (dist.f[dirB ])[kb];
+ distribution.f[VF::LBM::DIR::PPZ] = (dist.f[dirNE ])[k];
+ distribution.f[VF::LBM::DIR::MMZ] = (dist.f[dirSW ])[ksw];
+ distribution.f[VF::LBM::DIR::PMZ] = (dist.f[dirSE ])[ks];
+ distribution.f[VF::LBM::DIR::MPZ] = (dist.f[dirNW ])[kw];
+ distribution.f[VF::LBM::DIR::PZP] = (dist.f[dirTE ])[k];
+ distribution.f[VF::LBM::DIR::MZM] = (dist.f[dirBW ])[kbw];
+ distribution.f[VF::LBM::DIR::PZM] = (dist.f[dirBE ])[kb];
+ distribution.f[VF::LBM::DIR::MZP] = (dist.f[dirTW ])[kw];
+ distribution.f[VF::LBM::DIR::ZPP] = (dist.f[dirTN ])[k];
+ distribution.f[VF::LBM::DIR::ZMM] = (dist.f[dirBS ])[kbs];
+ distribution.f[VF::LBM::DIR::ZPM] = (dist.f[dirBN ])[kb];
+ distribution.f[VF::LBM::DIR::ZMP] = (dist.f[dirTS ])[ks];
+ distribution.f[VF::LBM::DIR::PPP] = (dist.f[dirTNE ])[k];
+ distribution.f[VF::LBM::DIR::MPP] = (dist.f[dirTNW ])[kw];
+ distribution.f[VF::LBM::DIR::PMP] = (dist.f[dirTSE ])[ks];
+ distribution.f[VF::LBM::DIR::MMP] = (dist.f[dirTSW ])[ksw];
+ distribution.f[VF::LBM::DIR::PPM] = (dist.f[dirBNE ])[kb];
+ distribution.f[VF::LBM::DIR::MPM] = (dist.f[dirBNE ])[kb];
+ distribution.f[VF::LBM::DIR::PMM] = (dist.f[dirBSE ])[kbs];
+ distribution.f[VF::LBM::DIR::MMM] = (dist.f[dirBSW ])[kbsw];
+ distribution.f[VF::LBM::DIR::ZZZ] = (dist.f[dirREST])[k];
+ }
+
+ __device__ void write(Distributions27& dist)
+ {
+ (dist.f[dirE ])[k] = distribution.f[VF::LBM::DIR::PZZ];
+ (dist.f[dirW ])[kw] = distribution.f[VF::LBM::DIR::MZZ];
+ (dist.f[dirN ])[k] = distribution.f[VF::LBM::DIR::ZPZ];
+ (dist.f[dirS ])[ks] = distribution.f[VF::LBM::DIR::ZMZ];
+ (dist.f[dirT ])[k] = distribution.f[VF::LBM::DIR::ZZP];
+ (dist.f[dirB ])[kb] = distribution.f[VF::LBM::DIR::ZZM];
+ (dist.f[dirNE ])[k] = distribution.f[VF::LBM::DIR::PPZ];
+ (dist.f[dirSW ])[ksw] = distribution.f[VF::LBM::DIR::MMZ];
+ (dist.f[dirSE ])[ks] = distribution.f[VF::LBM::DIR::PMZ];
+ (dist.f[dirNW ])[kw] = distribution.f[VF::LBM::DIR::MPZ];
+ (dist.f[dirTE ])[k] = distribution.f[VF::LBM::DIR::PZP];
+ (dist.f[dirBW ])[kbw] = distribution.f[VF::LBM::DIR::MZM];
+ (dist.f[dirBE ])[kb] = distribution.f[VF::LBM::DIR::PZM];
+ (dist.f[dirTW ])[kw] = distribution.f[VF::LBM::DIR::MZP];
+ (dist.f[dirTN ])[k] = distribution.f[VF::LBM::DIR::ZPP];
+ (dist.f[dirBS ])[kbs] = distribution.f[VF::LBM::DIR::ZMM];
+ (dist.f[dirBN ])[kb] = distribution.f[VF::LBM::DIR::ZPM];
+ (dist.f[dirTS ])[ks] = distribution.f[VF::LBM::DIR::ZMP];
+ (dist.f[dirTNE ])[k] = distribution.f[VF::LBM::DIR::PPP];
+ (dist.f[dirTNW ])[kw] = distribution.f[VF::LBM::DIR::MPP];
+ (dist.f[dirTSE ])[ks] = distribution.f[VF::LBM::DIR::PMP];
+ (dist.f[dirTSW ])[ksw] = distribution.f[VF::LBM::DIR::MMP];
+ (dist.f[dirBNE ])[kb] = distribution.f[VF::LBM::DIR::PPM];
+ (dist.f[dirBNE ])[kb] = distribution.f[VF::LBM::DIR::MPM];
+ (dist.f[dirBSE ])[kbs] = distribution.f[VF::LBM::DIR::PMM];
+ (dist.f[dirBSW ])[kbsw] = distribution.f[VF::LBM::DIR::MMM];
+ (dist.f[dirREST])[k] = distribution.f[VF::LBM::DIR::ZZZ];
+ }
+
+ VF::LBM::Distribution27 distribution;
+
+ const uint k;
+ const uint kw;
+ const uint ks;
+ const uint kb;
+ const uint ksw;
+ const uint kbw;
+ const uint kbs;
+ const uint kbsw;
+};
+
+////////////////////////////////////////////////////////////////////////////////
+extern "C" __global__ void Cumulant_K17_LBM_Device_Kernel(
+ real omega,
+ uint* typeOfGridNode,
+ uint* neighborX,
+ uint* neighborY,
+ uint* neighborZ,
+ real* distributions,
+ int size_Mat,
+ int level,
+ real* forces,
+ bool isEvenTimestep)
+{
+ //////////////////////////////////////////////////////////////////////////
+ //! Cumulant K17 Kernel is based on \ref
+ //! <a href="https://doi.org/10.1016/j.jcp.2017.05.040"><b>[ M. Geier et al. (2017), DOI:10.1016/j.jcp.2017.05.040 ]</b></a>
+ //! and \ref
+ //! <a href="https://doi.org/10.1016/j.jcp.2017.07.004"><b>[ M. Geier et al. (2017), DOI:10.1016/j.jcp.2017.07.004 ]</b></a>
+ //!
+ //! The cumulant kernel is executed in the following steps
+ //!
+ ////////////////////////////////////////////////////////////////////////////////
+ //! - Get node index coordinates from thredIdx, blockIdx, blockDim and gridDim.
+ //!
+ const unsigned x = threadIdx.x;
+ const unsigned y = blockIdx.x;
+ const unsigned z = blockIdx.y;
+
+ const unsigned nx = blockDim.x;
+ const unsigned ny = gridDim.x;
+
+ const unsigned k = nx*(ny*z + y) + x;
+
+ //////////////////////////////////////////////////////////////////////////
+ // run for all indices in size_Mat and fluid nodes
+ if ((k < size_Mat) && (typeOfGridNode[k] == GEO_FLUID))
+ {
+ //////////////////////////////////////////////////////////////////////////
+ //! - Read distributions: style of reading and writing the distributions from/to stored arrays dependent on timestep is based on the esoteric twist algorithm \ref
+ //! <a href="https://doi.org/10.3390/computation5020019"><b>[ M. Geier et al. (2017), DOI:10.3390/computation5020019 ]</b></a>
+ //!
+ Distributions27 dist = getDistributions27(distributions, size_Mat, isEvenTimestep);
+
+ // ////////////////////////////////////////////////////////////////////////////////
+ // //! - Set neighbor indices (necessary for indirect addressing)
+ const uint kw = neighborX[k];
+ const uint ks = neighborY[k];
+ const uint kb = neighborZ[k];
+ const uint ksw = neighborY[kw];
+ const uint kbw = neighborZ[kw];
+ const uint kbs = neighborZ[ks];
+ const uint kbsw = neighborZ[ksw];
+
+ ABC abc = {
+ k,
+ kw ,
+ ks ,
+ kb ,
+ ksw ,
+ kbw ,
+ kbs ,
+ kbsw
+ };
+
+ // ////////////////////////////////////////////////////////////////////////////////////
+ // //! - Set local distributions
+ // //!
+ // VF::LBM::Distribution27 distribution_in;
+
+ // distribution_in.f[VF::LBM::DIR::PZZ] = (dist.f[dirE ])[k];
+ // distribution_in.f[VF::LBM::DIR::MZZ] = (dist.f[dirW ])[kw];
+ // distribution_in.f[VF::LBM::DIR::ZPZ] = (dist.f[dirN ])[k];
+ // distribution_in.f[VF::LBM::DIR::ZMZ] = (dist.f[dirS ])[ks];
+ // distribution_in.f[VF::LBM::DIR::ZZP] = (dist.f[dirT ])[k];
+ // distribution_in.f[VF::LBM::DIR::ZZM] = (dist.f[dirB ])[kb];
+ // distribution_in.f[VF::LBM::DIR::PPZ] = (dist.f[dirNE ])[k];
+ // distribution_in.f[VF::LBM::DIR::MMZ] = (dist.f[dirSW ])[ksw];
+ // distribution_in.f[VF::LBM::DIR::PMZ] = (dist.f[dirSE ])[ks];
+ // distribution_in.f[VF::LBM::DIR::MPZ] = (dist.f[dirNW ])[kw];
+ // distribution_in.f[VF::LBM::DIR::PZP] = (dist.f[dirTE ])[k];
+ // distribution_in.f[VF::LBM::DIR::MZM] = (dist.f[dirBW ])[kbw];
+ // distribution_in.f[VF::LBM::DIR::PZM] = (dist.f[dirBE ])[kb];
+ // distribution_in.f[VF::LBM::DIR::MZP] = (dist.f[dirTW ])[kw];
+ // distribution_in.f[VF::LBM::DIR::ZPP] = (dist.f[dirTN ])[k];
+ // distribution_in.f[VF::LBM::DIR::ZMM] = (dist.f[dirBS ])[kbs];
+ // distribution_in.f[VF::LBM::DIR::ZPM] = (dist.f[dirBN ])[kb];
+ // distribution_in.f[VF::LBM::DIR::ZMP] = (dist.f[dirTS ])[ks];
+ // distribution_in.f[VF::LBM::DIR::PPP] = (dist.f[dirTNE ])[k];
+ // distribution_in.f[VF::LBM::DIR::MPP] = (dist.f[dirTNW ])[kw];
+ // distribution_in.f[VF::LBM::DIR::PMP] = (dist.f[dirTSE ])[ks];
+ // distribution_in.f[VF::LBM::DIR::MMP] = (dist.f[dirTSW ])[ksw];
+ // distribution_in.f[VF::LBM::DIR::PPM] = (dist.f[dirBNE ])[kb];
+ // distribution_in.f[VF::LBM::DIR::MPM] = (dist.f[dirBNE ])[kb];
+ // distribution_in.f[VF::LBM::DIR::PMM] = (dist.f[dirBSE ])[kbs];
+ // distribution_in.f[VF::LBM::DIR::MMM] = (dist.f[dirBSW ])[kbsw];
+ // distribution_in.f[VF::LBM::DIR::ZZZ] = (dist.f[dirREST])[k];
+
+ abc.read(dist);
+
+ real vx = forces[0] / pow((double)c2o1, (double)level);
+ real vy = forces[1] / pow((double)c2o1, (double)level);
+ real vz = forces[2] / pow((double)c2o1, (double)level);
+ real forces[3] {vx, vy, vz};
+
+ // VF::LBM::Distribution27 distribution_out = VF::LBM::cumulantChimera(distribution_in, omega, forces);
+
+ abc.distribution = VF::LBM::cumulantChimera(abc.distribution, omega, forces);
+
+ abc.write(dist);
+
+ ////////////////////////////////////////////////////////////////////////////////////
+ //! - Write distributions: style of reading and writing the distributions from/to
+ //! stored arrays dependent on timestep is based on the esoteric twist algorithm
+ //! <a href="https://doi.org/10.3390/computation5020019"><b>[ M. Geier et al. (2017), DOI:10.3390/computation5020019 ]</b></a>
+ //!
+ // (dist.f[dirE ])[k] = distribution_out.f[VF::LBM::DIR::PZZ];
+ // (dist.f[dirW ])[kw] = distribution_out.f[VF::LBM::DIR::MZZ];
+ // (dist.f[dirN ])[k] = distribution_out.f[VF::LBM::DIR::ZPZ];
+ // (dist.f[dirS ])[ks] = distribution_out.f[VF::LBM::DIR::ZMZ];
+ // (dist.f[dirT ])[k] = distribution_out.f[VF::LBM::DIR::ZZP];
+ // (dist.f[dirB ])[kb] = distribution_out.f[VF::LBM::DIR::ZZM];
+ // (dist.f[dirNE ])[k] = distribution_out.f[VF::LBM::DIR::PPZ];
+ // (dist.f[dirSW ])[ksw] = distribution_out.f[VF::LBM::DIR::MMZ];
+ // (dist.f[dirSE ])[ks] = distribution_out.f[VF::LBM::DIR::PMZ];
+ // (dist.f[dirNW ])[kw] = distribution_out.f[VF::LBM::DIR::MPZ];
+ // (dist.f[dirTE ])[k] = distribution_out.f[VF::LBM::DIR::PZP];
+ // (dist.f[dirBW ])[kbw] = distribution_out.f[VF::LBM::DIR::MZM];
+ // (dist.f[dirBE ])[kb] = distribution_out.f[VF::LBM::DIR::PZM];
+ // (dist.f[dirTW ])[kw] = distribution_out.f[VF::LBM::DIR::MZP];
+ // (dist.f[dirTN ])[k] = distribution_out.f[VF::LBM::DIR::ZPP];
+ // (dist.f[dirBS ])[kbs] = distribution_out.f[VF::LBM::DIR::ZMM];
+ // (dist.f[dirBN ])[kb] = distribution_out.f[VF::LBM::DIR::ZPM];
+ // (dist.f[dirTS ])[ks] = distribution_out.f[VF::LBM::DIR::ZMP];
+ // (dist.f[dirTNE ])[k] = distribution_out.f[VF::LBM::DIR::PPP];
+ // (dist.f[dirTNW ])[kw] = distribution_out.f[VF::LBM::DIR::MPP];
+ // (dist.f[dirTSE ])[ks] = distribution_out.f[VF::LBM::DIR::PMP];
+ // (dist.f[dirTSW ])[ksw] = distribution_out.f[VF::LBM::DIR::MMP];
+ // (dist.f[dirBNE ])[kb] = distribution_out.f[VF::LBM::DIR::PPM];
+ // (dist.f[dirBNE ])[kb] = distribution_out.f[VF::LBM::DIR::MPM];
+ // (dist.f[dirBSE ])[kbs] = distribution_out.f[VF::LBM::DIR::PMM];
+ // (dist.f[dirBSW ])[kbsw] = distribution_out.f[VF::LBM::DIR::MMM];
+ // (dist.f[dirREST])[k] = distribution_out.f[VF::LBM::DIR::ZZZ];
+ }
+}
+////////////////////////////////////////////////////////////////////////////////
+
+
+////////////////////////////////////////////////////////////////////////////////
+extern "C" __global__ void Cumulant_K17_LBM_Device_Kernel_old(
+ real omega,
+ uint* typeOfGridNode,
+ uint* neighborX,
+ uint* neighborY,
+ uint* neighborZ,
+ real* distributions,
+ int size_Mat,
+ int level,
+ real* forces,
+ bool isEvenTimestep)
+{
+ //////////////////////////////////////////////////////////////////////////
+ //! Cumulant K17 Kernel is based on \ref
+ //! <a href="https://doi.org/10.1016/j.jcp.2017.05.040"><b>[ M. Geier et al. (2017), DOI:10.1016/j.jcp.2017.05.040 ]</b></a>
+ //! and \ref
+ //! <a href="https://doi.org/10.1016/j.jcp.2017.07.004"><b>[ M. Geier et al. (2017), DOI:10.1016/j.jcp.2017.07.004 ]</b></a>
+ //!
+ //! The cumulant kernel is executed in the following steps
+ //!
+ ////////////////////////////////////////////////////////////////////////////////
+ //! - Get node index coordinates from thredIdx, blockIdx, blockDim and gridDim.
+ //!
+ const unsigned x = threadIdx.x;
+ const unsigned y = blockIdx.x;
+ const unsigned z = blockIdx.y;
+
+ const unsigned nx = blockDim.x;
+ const unsigned ny = gridDim.x;
+
+ const unsigned k = nx*(ny*z + y) + x;
+
+ //////////////////////////////////////////////////////////////////////////
+ // run for all indices in size_Mat and fluid nodes
+ if ((k < size_Mat) && (typeOfGridNode[k] == GEO_FLUID))
+ {
+ //////////////////////////////////////////////////////////////////////////
+ //! - Read distributions: style of reading and writing the distributions from/to stored arrays dependent on timestep is based on the esoteric twist algorithm \ref
+ //! <a href="https://doi.org/10.3390/computation5020019"><b>[ M. Geier et al. (2017), DOI:10.3390/computation5020019 ]</b></a>
+ //!
+ Distributions27 dist;
+ if (isEvenTimestep)
+ {
+ dist.f[dirE ] = &distributions[dirE *size_Mat];
+ dist.f[dirW ] = &distributions[dirW *size_Mat];
+ dist.f[dirN ] = &distributions[dirN *size_Mat];
+ dist.f[dirS ] = &distributions[dirS *size_Mat];
+ dist.f[dirT ] = &distributions[dirT *size_Mat];
+ dist.f[dirB ] = &distributions[dirB *size_Mat];
+ dist.f[dirNE ] = &distributions[dirNE *size_Mat];
+ dist.f[dirSW ] = &distributions[dirSW *size_Mat];
+ dist.f[dirSE ] = &distributions[dirSE *size_Mat];
+ dist.f[dirNW ] = &distributions[dirNW *size_Mat];
+ dist.f[dirTE ] = &distributions[dirTE *size_Mat];
+ dist.f[dirBW ] = &distributions[dirBW *size_Mat];
+ dist.f[dirBE ] = &distributions[dirBE *size_Mat];
+ dist.f[dirTW ] = &distributions[dirTW *size_Mat];
+ dist.f[dirTN ] = &distributions[dirTN *size_Mat];
+ dist.f[dirBS ] = &distributions[dirBS *size_Mat];
+ dist.f[dirBN ] = &distributions[dirBN *size_Mat];
+ dist.f[dirTS ] = &distributions[dirTS *size_Mat];
+ dist.f[dirREST] = &distributions[dirREST*size_Mat];
+ dist.f[dirTNE ] = &distributions[dirTNE *size_Mat];
+ dist.f[dirTSW ] = &distributions[dirTSW *size_Mat];
+ dist.f[dirTSE ] = &distributions[dirTSE *size_Mat];
+ dist.f[dirTNW ] = &distributions[dirTNW *size_Mat];
+ dist.f[dirBNE ] = &distributions[dirBNE *size_Mat];
+ dist.f[dirBSW ] = &distributions[dirBSW *size_Mat];
+ dist.f[dirBSE ] = &distributions[dirBSE *size_Mat];
+ dist.f[dirBNW ] = &distributions[dirBNW *size_Mat];
+ }
+ else
+ {
+ dist.f[dirW ] = &distributions[dirE *size_Mat];
+ dist.f[dirE ] = &distributions[dirW *size_Mat];
+ dist.f[dirS ] = &distributions[dirN *size_Mat];
+ dist.f[dirN ] = &distributions[dirS *size_Mat];
+ dist.f[dirB ] = &distributions[dirT *size_Mat];
+ dist.f[dirT ] = &distributions[dirB *size_Mat];
+ dist.f[dirSW ] = &distributions[dirNE *size_Mat];
+ dist.f[dirNE ] = &distributions[dirSW *size_Mat];
+ dist.f[dirNW ] = &distributions[dirSE *size_Mat];
+ dist.f[dirSE ] = &distributions[dirNW *size_Mat];
+ dist.f[dirBW ] = &distributions[dirTE *size_Mat];
+ dist.f[dirTE ] = &distributions[dirBW *size_Mat];
+ dist.f[dirTW ] = &distributions[dirBE *size_Mat];
+ dist.f[dirBE ] = &distributions[dirTW *size_Mat];
+ dist.f[dirBS ] = &distributions[dirTN *size_Mat];
+ dist.f[dirTN ] = &distributions[dirBS *size_Mat];
+ dist.f[dirTS ] = &distributions[dirBN *size_Mat];
+ dist.f[dirBN ] = &distributions[dirTS *size_Mat];
+ dist.f[dirREST] = &distributions[dirREST*size_Mat];
+ dist.f[dirBSW ] = &distributions[dirTNE *size_Mat];
+ dist.f[dirBNE ] = &distributions[dirTSW *size_Mat];
+ dist.f[dirBNW ] = &distributions[dirTSE *size_Mat];
+ dist.f[dirBSE ] = &distributions[dirTNW *size_Mat];
+ dist.f[dirTSW ] = &distributions[dirBNE *size_Mat];
+ dist.f[dirTNE ] = &distributions[dirBSW *size_Mat];
+ dist.f[dirTNW ] = &distributions[dirBSE *size_Mat];
+ dist.f[dirTSE ] = &distributions[dirBNW *size_Mat];
+ }
+ ////////////////////////////////////////////////////////////////////////////////
+ //! - Set neighbor indices (necessary for indirect addressing)
+ uint kw = neighborX[k];
+ uint ks = neighborY[k];
+ uint kb = neighborZ[k];
+ uint ksw = neighborY[kw];
+ uint kbw = neighborZ[kw];
+ uint kbs = neighborZ[ks];
+ uint kbsw = neighborZ[ksw];
+ ////////////////////////////////////////////////////////////////////////////////////
+ //! - Set local distributions
+ //!
+ real mfcbb = (dist.f[dirE ])[k];
+ real mfabb = (dist.f[dirW ])[kw];
+ real mfbcb = (dist.f[dirN ])[k];
+ real mfbab = (dist.f[dirS ])[ks];
+ real mfbbc = (dist.f[dirT ])[k];
+ real mfbba = (dist.f[dirB ])[kb];
+ real mfccb = (dist.f[dirNE ])[k];
+ real mfaab = (dist.f[dirSW ])[ksw];
+ real mfcab = (dist.f[dirSE ])[ks];
+ real mfacb = (dist.f[dirNW ])[kw];
+ real mfcbc = (dist.f[dirTE ])[k];
+ real mfaba = (dist.f[dirBW ])[kbw];
+ real mfcba = (dist.f[dirBE ])[kb];
+ real mfabc = (dist.f[dirTW ])[kw];
+ real mfbcc = (dist.f[dirTN ])[k];
+ real mfbaa = (dist.f[dirBS ])[kbs];
+ real mfbca = (dist.f[dirBN ])[kb];
+ real mfbac = (dist.f[dirTS ])[ks];
+ real mfbbb = (dist.f[dirREST])[k];
+ real mfccc = (dist.f[dirTNE ])[k];
+ real mfaac = (dist.f[dirTSW ])[ksw];
+ real mfcac = (dist.f[dirTSE ])[ks];
+ real mfacc = (dist.f[dirTNW ])[kw];
+ real mfcca = (dist.f[dirBNE ])[kb];
+ real mfaaa = (dist.f[dirBSW ])[kbsw];
+ real mfcaa = (dist.f[dirBSE ])[kbs];
+ real mfaca = (dist.f[dirBNW ])[kbw];
+
+ ////////////////////////////////////////////////////////////////////////////////////
+ //! - Calculate density and velocity using pyramid summation for low round-off errors as in Eq. (J1)-(J3) \ref
+ //! <a href="https://doi.org/10.1016/j.camwa.2015.05.001"><b>[ M. Geier et al. (2015), DOI:10.1016/j.camwa 2015.05.001 ]</b></a>
+ //!
+ real drho =
+ ((((mfccc + mfaaa) + (mfaca + mfcac)) + ((mfacc + mfcaa) + (mfaac + mfcca))) +
+ (((mfbac + mfbca) + (mfbaa + mfbcc)) + ((mfabc + mfcba) + (mfaba + mfcbc)) + ((mfacb + mfcab) + (mfaab + mfccb))) +
+ ((mfabb + mfcbb) + (mfbab + mfbcb) + (mfbba + mfbbc))) + mfbbb;
+ real rho = c1o1 + drho;
+ real OOrho = c1o1 / rho;
+ real vvx =
+ ((((mfccc - mfaaa) + (mfcac - mfaca)) + ((mfcaa - mfacc) + (mfcca - mfaac))) +
+ (((mfcba - mfabc) + (mfcbc - mfaba)) + ((mfcab - mfacb) + (mfccb - mfaab))) +
+ (mfcbb - mfabb)) * OOrho;
+ real vvy =
+ ((((mfccc - mfaaa) + (mfaca - mfcac)) + ((mfacc - mfcaa) + (mfcca - mfaac))) +
+ (((mfbca - mfbac) + (mfbcc - mfbaa)) + ((mfacb - mfcab) + (mfccb - mfaab))) +
+ (mfbcb - mfbab)) * OOrho;
+ real vvz =
+ ((((mfccc - mfaaa) + (mfcac - mfaca)) + ((mfacc - mfcaa) + (mfaac - mfcca))) +
+ (((mfbac - mfbca) + (mfbcc - mfbaa)) + ((mfabc - mfcba) + (mfcbc - mfaba))) +
+ (mfbbc - mfbba)) * OOrho;
+ ////////////////////////////////////////////////////////////////////////////////////
+ //! - Add half of the acceleration (body force) to the velocity as in Eq. (42) \ref
+ //! <a href="https://doi.org/10.1016/j.camwa.2015.05.001"><b>[ M. Geier et al. (2015), DOI:10.1016/j.camwa 2015.05.001 ]</b></a>
+ //!
+ vvx += forces[0] * c1o2;
+ vvy += forces[1] * c1o2;
+ vvz += forces[2] * c1o2;
+ ////////////////////////////////////////////////////////////////////////////////////
+ // calculate the square of velocities for this lattice node
+ real vx2 = vvx*vvx;
+ real vy2 = vvy*vvy;
+ real vz2 = vvz*vvz;
+ ////////////////////////////////////////////////////////////////////////////////////
+ //! - Set relaxation limiters for third order cumulants to default value \f$ \lambda=0.001 \f$ according to section 6 in \ref
+ //! <a href="https://doi.org/10.1016/j.jcp.2017.05.040"><b>[ M. Geier et al. (2017), DOI:10.1016/j.jcp.2017.05 040 ]</b></a>
+ //!
+ real wadjust;
+ real qudricLimitP = c1o100;
+ real qudricLimitM = c1o100;
+ real qudricLimitD = c1o100;
+ ////////////////////////////////////////////////////////////////////////////////////
+ //! - Chimera transform from well conditioned distributions to central moments as defined in Appendix J in \ref
+ //! <a href="https://doi.org/10.1016/j.camwa.2015.05.001"><b>[ M. Geier et al. (2015), DOI:10.1016/j.camwa 2015.05.001 ]</b></a>
+ //! see also Eq. (6)-(14) in \ref
+ //! <a href="https://doi.org/10.1016/j.jcp.2017.05.040"><b>[ M. Geier et al. (2017), DOI:10.1016/j.jcp.2017.05 040 ]</b></a>
+ //!
+ ////////////////////////////////////////////////////////////////////////////////////
+ // Z - Dir
+ VF::LBM::forwardInverseChimeraWithK(mfaaa, mfaab, mfaac, vvz, vz2, c36o1, c1o36);
+ VF::LBM::forwardInverseChimeraWithK(mfaba, mfabb, mfabc, vvz, vz2, c9o1, c1o9);
+ VF::LBM::forwardInverseChimeraWithK(mfaca, mfacb, mfacc, vvz, vz2, c36o1, c1o36);
+ VF::LBM::forwardInverseChimeraWithK(mfbaa, mfbab, mfbac, vvz, vz2, c9o1, c1o9);
+ VF::LBM::forwardInverseChimeraWithK(mfbba, mfbbb, mfbbc, vvz, vz2, c9o4, c4o9);
+ VF::LBM::forwardInverseChimeraWithK(mfbca, mfbcb, mfbcc, vvz, vz2, c9o1, c1o9);
+ VF::LBM::forwardInverseChimeraWithK(mfcaa, mfcab, mfcac, vvz, vz2, c36o1, c1o36);
+ VF::LBM::forwardInverseChimeraWithK(mfcba, mfcbb, mfcbc, vvz, vz2, c9o1, c1o9);
+ VF::LBM::forwardInverseChimeraWithK(mfcca, mfccb, mfccc, vvz, vz2, c36o1, c1o36);
+ ////////////////////////////////////////////////////////////////////////////////////
+ // Y - Dir
+ VF::LBM::forwardInverseChimeraWithK(mfaaa, mfaba, mfaca, vvy, vy2, c6o1, c1o6);
+ VF::LBM::forwardChimera( mfaab, mfabb, mfacb, vvy, vy2);
+ VF::LBM::forwardInverseChimeraWithK(mfaac, mfabc, mfacc, vvy, vy2, c18o1, c1o18);
+ VF::LBM::forwardInverseChimeraWithK(mfbaa, mfbba, mfbca, vvy, vy2, c3o2, c2o3);
+ VF::LBM::forwardChimera( mfbab, mfbbb, mfbcb, vvy, vy2);
+ VF::LBM::forwardInverseChimeraWithK(mfbac, mfbbc, mfbcc, vvy, vy2, c9o2, c2o9);
+ VF::LBM::forwardInverseChimeraWithK(mfcaa, mfcba, mfcca, vvy, vy2, c6o1, c1o6);
+ VF::LBM::forwardChimera( mfcab, mfcbb, mfccb, vvy, vy2);
+ VF::LBM::forwardInverseChimeraWithK(mfcac, mfcbc, mfccc, vvy, vy2, c18o1, c1o18);
+ ////////////////////////////////////////////////////////////////////////////////////
+ // X - Dir
+ VF::LBM::forwardInverseChimeraWithK(mfaaa, mfbaa, mfcaa, vvx, vx2, c1o1, c1o1);
+ VF::LBM::forwardChimera( mfaba, mfbba, mfcba, vvx, vx2);
+ VF::LBM::forwardInverseChimeraWithK(mfaca, mfbca, mfcca, vvx, vx2, c3o1, c1o3);
+ VF::LBM::forwardChimera( mfaab, mfbab, mfcab, vvx, vx2);
+ VF::LBM::forwardChimera( mfabb, mfbbb, mfcbb, vvx, vx2);
+ VF::LBM::forwardChimera( mfacb, mfbcb, mfccb, vvx, vx2);
+ VF::LBM::forwardInverseChimeraWithK(mfaac, mfbac, mfcac, vvx, vx2, c3o1, c1o3);
+ VF::LBM::forwardChimera( mfabc, mfbbc, mfcbc, vvx, vx2);
+ VF::LBM::forwardInverseChimeraWithK(mfacc, mfbcc, mfccc, vvx, vx2, c3o1, c1o9);
+ ////////////////////////////////////////////////////////////////////////////////////
+ //! - Setting relaxation rates for non-hydrodynamic cumulants (default values). Variable names and equations according to
+ //! <a href="https://doi.org/10.1016/j.jcp.2017.05.040"><b>[ M. Geier et al. (2017), DOI:10.1016/j.jcp.2017.05 040 ]</b></a>
+ //! => [NAME IN PAPER]=[NAME IN CODE]=[DEFAULT VALUE].
+ //! - Trace of second order cumulants \f$ C_{200}+C_{020}+C_{002} \f$ used to adjust bulk viscosity:\f$\omega_2=OxxPyyPzz=1.0 \f$.
+ //! - Third order cumulants \f$ C_{120}+C_{102}, C_{210}+C_{012}, C_{201}+C_{021} \f$: \f$ \omega_3=OxyyPxzz \f$ set according to Eq. (111) with simplifications assuming \f$ \omega_2=1.0\f$.
+ //! - Third order cumulants \f$ C_{120}-C_{102}, C_{210}-C_{012}, C_{201}-C_{021} \f$: \f$ \omega_4 = OxyyMxzz \f$ set according to Eq. (112) with simplifications assuming \f$ \omega_2 = 1.0\f$.
+ //! - Third order cumulants \f$ C_{111} \f$: \f$ \omega_5 = Oxyz \f$ set according to Eq. (113) with simplifications assuming \f$ \omega_2 = 1.0\f$ (modify for different bulk viscosity).
+ //! - Fourth order cumulants \f$ C_{220}, C_{202}, C_{022}, C_{211}, C_{121}, C_{112} \f$: for simplification all set to the same default value \f$ \omega_6=\omega_7=\omega_8=O4=1.0 \f$.
+ //! - Fifth order cumulants \f$ C_{221}, C_{212}, C_{122}\f$: \f$\omega_9=O5=1.0\f$.
+ //! - Sixth order cumulant \f$ C_{222}\f$: \f$\omega_{10}=O6=1.0\f$.
+ //!
+ ////////////////////////////////////////////////////////////
+ //2.
+ real OxxPyyPzz = c1o1;
+ ////////////////////////////////////////////////////////////
+ //3.
+ real OxyyPxzz = c8o1 * (-c2o1 + omega) * ( c1o1 + c2o1*omega) / (-c8o1 - c14o1*omega + c7o1*omega*omega);
+ real OxyyMxzz = c8o1 * (-c2o1 + omega) * (-c7o1 + c4o1*omega) / (c56o1 - c50o1*omega + c9o1*omega*omega);
+ real Oxyz = c24o1 * (-c2o1 + omega) * (-c2o1 - c7o1*omega + c3o1*omega*omega) / (c48o1 + c152o1*omega - c130o1*omega*omega + c29o1*omega*omega*omega);
+ ////////////////////////////////////////////////////////////
+ //4.
+ real O4 = c1o1;
+ ////////////////////////////////////////////////////////////
+ //5.
+ real O5 = c1o1;
+ ////////////////////////////////////////////////////////////
+ //6.
+ real O6 = c1o1;
+ ////////////////////////////////////////////////////////////////////////////////////
+ //! - A and B: parameters for fourth order convergence of the diffusion term according to Eq. (114) and (115)
+ //! <a href="https://doi.org/10.1016/j.jcp.2017.05.040"><b>[ M. Geier et al. (2017), DOI:10.1016/j.jcp.2017.05 040 ]</b></a>
+ //! with simplifications assuming \f$ \omega_2 = 1.0 \f$ (modify for different bulk viscosity).
+ //!
+ real A = (c4o1 + c2o1*omega - c3o1*omega*omega) / (c2o1 - c7o1*omega + c5o1*omega*omega);
+ real B = (c4o1 + c28o1*omega - c14o1*omega*omega) / (c6o1 - c21o1*omega + c15o1*omega*omega);
+ ////////////////////////////////////////////////////////////////////////////////////
+ //! - Compute cumulants from central moments according to Eq. (20)-(23) in
+ //! <a href="https://doi.org/10.1016/j.jcp.2017.05.040"><b>[ M. Geier et al. (2017), DOI:10.1016/j.jcp.2017.05 040 ]</b></a>
+ //!
+ ////////////////////////////////////////////////////////////
+ //4.
+ real CUMcbb = mfcbb - ((mfcaa + c1o3) * mfabb + c2o1 * mfbba * mfbab) * OOrho;
+ real CUMbcb = mfbcb - ((mfaca + c1o3) * mfbab + c2o1 * mfbba * mfabb) * OOrho;
+ real CUMbbc = mfbbc - ((mfaac + c1o3) * mfbba + c2o1 * mfbab * mfabb) * OOrho;
+ real CUMcca = mfcca - (((mfcaa * mfaca + c2o1 * mfbba * mfbba) + c1o3 * (mfcaa + mfaca)) * OOrho - c1o9*(drho * OOrho));
+ real CUMcac = mfcac - (((mfcaa * mfaac + c2o1 * mfbab * mfbab) + c1o3 * (mfcaa + mfaac)) * OOrho - c1o9*(drho * OOrho));
+ real CUMacc = mfacc - (((mfaac * mfaca + c2o1 * mfabb * mfabb) + c1o3 * (mfaac + mfaca)) * OOrho - c1o9*(drho * OOrho));
+ ////////////////////////////////////////////////////////////
+ //5.
+ real CUMbcc = mfbcc - ((mfaac * mfbca + mfaca * mfbac + c4o1 * mfabb * mfbbb + c2o1 * (mfbab * mfacb + mfbba * mfabc)) + c1o3 * (mfbca + mfbac)) * OOrho;
+ real CUMcbc = mfcbc - ((mfaac * mfcba + mfcaa * mfabc + c4o1 * mfbab * mfbbb + c2o1 * (mfabb * mfcab + mfbba * mfbac)) + c1o3 * (mfcba + mfabc)) * OOrho;
+ real CUMccb = mfccb - ((mfcaa * mfacb + mfaca * mfcab + c4o1 * mfbba * mfbbb + c2o1 * (mfbab * mfbca + mfabb * mfcba)) + c1o3 * (mfacb + mfcab)) * OOrho;
+ ////////////////////////////////////////////////////////////
+ //6.
+ real CUMccc = mfccc + ((-c4o1 * mfbbb * mfbbb
+ - (mfcaa * mfacc + mfaca * mfcac + mfaac * mfcca)
+ - c4o1 * (mfabb * mfcbb + mfbab * mfbcb + mfbba * mfbbc)
+ - c2o1 * (mfbca * mfbac + mfcba * mfabc + mfcab * mfacb)) * OOrho
+ + (c4o1 * (mfbab * mfbab * mfaca + mfabb * mfabb * mfcaa + mfbba * mfbba * mfaac)
+ + c2o1 * (mfcaa * mfaca * mfaac)
+ + c16o1 * mfbba * mfbab * mfabb) * OOrho * OOrho
+ - c1o3 * (mfacc + mfcac + mfcca) * OOrho
+ - c1o9 * (mfcaa + mfaca + mfaac) * OOrho
+ + (c2o1 * (mfbab * mfbab + mfabb * mfabb + mfbba * mfbba)
+ + (mfaac * mfaca + mfaac * mfcaa + mfaca * mfcaa) + c1o3 *(mfaac + mfaca + mfcaa)) * OOrho * OOrho * c2o3
+ + c1o27*((drho * drho - drho) * OOrho * OOrho));
+ ////////////////////////////////////////////////////////////////////////////////////
+ //! - Compute linear combinations of second and third order cumulants
+ //!
+ ////////////////////////////////////////////////////////////
+ //2.
+ real mxxPyyPzz = mfcaa + mfaca + mfaac;
+ real mxxMyy = mfcaa - mfaca;
+ real mxxMzz = mfcaa - mfaac;
+ ////////////////////////////////////////////////////////////
+ //3.
+ real mxxyPyzz = mfcba + mfabc;
+ real mxxyMyzz = mfcba - mfabc;
+ real mxxzPyyz = mfcab + mfacb;
+ real mxxzMyyz = mfcab - mfacb;
+ real mxyyPxzz = mfbca + mfbac;
+ real mxyyMxzz = mfbca - mfbac;
+ ////////////////////////////////////////////////////////////////////////////////////
+ //incl. correction
+ ////////////////////////////////////////////////////////////
+ //! - Compute velocity gradients from second order cumulants according to Eq. (27)-(32)
+ //! <a href="https://doi.org/10.1016/j.jcp.2017.05.040"><b>[ M. Geier et al. (2017), DOI:10.1016/j.jcp.2017.05 040 ]</b></a>
+ //! Further explanations of the correction in viscosity in Appendix H of
+ //! <a href="https://doi.org/10.1016/j.camwa.2015.05.001"><b>[ M. Geier et al. (2015), DOI:10.1016/j.camwa 2015.05.001 ]</b></a>
+ //! Note that the division by rho is omitted here as we need rho times the gradients later.
+ //!
+ real Dxy = -c3o1*omega*mfbba;
+ real Dxz = -c3o1*omega*mfbab;
+ real Dyz = -c3o1*omega*mfabb;
+ real dxux = c1o2 * (-omega) *(mxxMyy + mxxMzz) + c1o2 * OxxPyyPzz * (mfaaa - mxxPyyPzz);
+ real dyuy = dxux + omega * c3o2 * mxxMyy;
+ real dzuz = dxux + omega * c3o2 * mxxMzz;
+ ////////////////////////////////////////////////////////////
+ //! - Relaxation of second order cumulants with correction terms according to Eq. (33)-(35) in
+ //! <a href="https://doi.org/10.1016/j.jcp.2017.05.040"><b>[ M. Geier et al. (2017), DOI:10.1016/j.jcp.2017.05 040 ]</b></a>
+ //!
+ mxxPyyPzz += OxxPyyPzz*(mfaaa - mxxPyyPzz) - c3o1 * (c1o1 - c1o2 * OxxPyyPzz) * (vx2 * dxux + vy2 * dyuy + vz2 * dzuz);
+ mxxMyy += omega * (-mxxMyy) - c3o1 * (c1o1 + c1o2 * (-omega)) * (vx2 * dxux - vy2 * dyuy);
+ mxxMzz += omega * (-mxxMzz) - c3o1 * (c1o1 + c1o2 * (-omega)) * (vx2 * dxux - vz2 * dzuz);
+ ////////////////////////////////////////////////////////////////////////////////////
+ ////no correction
+ //mxxPyyPzz += OxxPyyPzz*(mfaaa - mxxPyyPzz);
+ //mxxMyy += -(-omega) * (-mxxMyy);
+ //mxxMzz += -(-omega) * (-mxxMzz);
+ //////////////////////////////////////////////////////////////////////////
+ mfabb += omega * (-mfabb);
+ mfbab += omega * (-mfbab);
+ mfbba += omega * (-mfbba);
+ ////////////////////////////////////////////////////////////////////////////////////
+ //relax
+ //////////////////////////////////////////////////////////////////////////
+ // incl. limiter
+ //! - Relaxation of third order cumulants including limiter according to Eq. (116)-(123)
+ //! <a href="https://doi.org/10.1016/j.jcp.2017.05.040"><b>[ M. Geier et al. (2017), DOI:10.1016/j.jcp.2017.05 040 ]</b></a>
+ //!
+ wadjust = Oxyz + (c1o1 - Oxyz)*abs(mfbbb) / (abs(mfbbb) + qudricLimitD);
+ mfbbb += wadjust * (-mfbbb);
+ wadjust = OxyyPxzz + (c1o1 - OxyyPxzz)*abs(mxxyPyzz) / (abs(mxxyPyzz) + qudricLimitP);
+ mxxyPyzz += wadjust * (-mxxyPyzz);
+ wadjust = OxyyMxzz + (c1o1 - OxyyMxzz)*abs(mxxyMyzz) / (abs(mxxyMyzz) + qudricLimitM);
+ mxxyMyzz += wadjust * (-mxxyMyzz);
+ wadjust = OxyyPxzz + (c1o1 - OxyyPxzz)*abs(mxxzPyyz) / (abs(mxxzPyyz) + qudricLimitP);
+ mxxzPyyz += wadjust * (-mxxzPyyz);
+ wadjust = OxyyMxzz + (c1o1 - OxyyMxzz)*abs(mxxzMyyz) / (abs(mxxzMyyz) + qudricLimitM);
+ mxxzMyyz += wadjust * (-mxxzMyyz);
+ wadjust = OxyyPxzz + (c1o1 - OxyyPxzz)*abs(mxyyPxzz) / (abs(mxyyPxzz) + qudricLimitP);
+ mxyyPxzz += wadjust * (-mxyyPxzz);
+ wadjust = OxyyMxzz + (c1o1 - OxyyMxzz)*abs(mxyyMxzz) / (abs(mxyyMxzz) + qudricLimitM);
+ mxyyMxzz += wadjust * (-mxyyMxzz);
+ //////////////////////////////////////////////////////////////////////////
+ // no limiter
+ //mfbbb += OxyyMxzz * (-mfbbb);
+ //mxxyPyzz += OxyyPxzz * (-mxxyPyzz);
+ //mxxyMyzz += OxyyMxzz * (-mxxyMyzz);
+ //mxxzPyyz += OxyyPxzz * (-mxxzPyyz);
+ //mxxzMyyz += OxyyMxzz * (-mxxzMyyz);
+ //mxyyPxzz += OxyyPxzz * (-mxyyPxzz);
+ //mxyyMxzz += OxyyMxzz * (-mxyyMxzz);
+ ////////////////////////////////////////////////////////////////////////////////////
+ //! - Compute inverse linear combinations of second and third order cumulants
+ //!
+ mfcaa = c1o3 * (mxxMyy + mxxMzz + mxxPyyPzz);
+ mfaca = c1o3 * (-c2o1* mxxMyy + mxxMzz + mxxPyyPzz);
+ mfaac = c1o3 * (mxxMyy - c2o1* mxxMzz + mxxPyyPzz);
+ mfcba = ( mxxyMyzz + mxxyPyzz) * c1o2;
+ mfabc = (-mxxyMyzz + mxxyPyzz) * c1o2;
+ mfcab = ( mxxzMyyz + mxxzPyyz) * c1o2;
+ mfacb = (-mxxzMyyz + mxxzPyyz) * c1o2;
+ mfbca = ( mxyyMxzz + mxyyPxzz) * c1o2;
+ mfbac = (-mxyyMxzz + mxyyPxzz) * c1o2;
+ //////////////////////////////////////////////////////////////////////////
+ //////////////////////////////////////////////////////////////////////////
+ //4.
+ // no limiter
+ //! - Relax fourth order cumulants to modified equilibrium for fourth order convergence of diffusion according to Eq. (43)-(48)
+ //! <a href="https://doi.org/10.1016/j.jcp.2017.05.040"><b>[ M. Geier et al. (2017), DOI:10.1016/j.jcp.2017.05 040 ]</b></a>
+ //!
+ CUMacc = -O4*(c1o1 / omega - c1o2) * (dyuy + dzuz) * c2o3 * A + (c1o1 - O4) * (CUMacc);
+ CUMcac = -O4*(c1o1 / omega - c1o2) * (dxux + dzuz) * c2o3 * A + (c1o1 - O4) * (CUMcac);
+ CUMcca = -O4*(c1o1 / omega - c1o2) * (dyuy + dxux) * c2o3 * A + (c1o1 - O4) * (CUMcca);
+ CUMbbc = -O4*(c1o1 / omega - c1o2) * Dxy * c1o3 * B + (c1o1 - O4) * (CUMbbc);
+ CUMbcb = -O4*(c1o1 / omega - c1o2) * Dxz * c1o3 * B + (c1o1 - O4) * (CUMbcb);
+ CUMcbb = -O4*(c1o1 / omega - c1o2) * Dyz * c1o3 * B + (c1o1 - O4) * (CUMcbb);
+ //////////////////////////////////////////////////////////////////////////
+ //5.
+ CUMbcc += O5 * (-CUMbcc);
+ CUMcbc += O5 * (-CUMcbc);
+ CUMccb += O5 * (-CUMccb);
+ //////////////////////////////////////////////////////////////////////////
+ //6.
+ CUMccc += O6 * (-CUMccc);
+ ////////////////////////////////////////////////////////////////////////////////////
+ //! - Compute central moments from post collision cumulants according to Eq. (53)-(56) in
+ //! <a href="https://doi.org/10.1016/j.jcp.2017.05.040"><b>[ M. Geier et al. (2017), DOI:10.1016/j.jcp.2017.05 040 ]</b></a>
+ //!
+ //////////////////////////////////////////////////////////////////////////
+ //4.
+ mfcbb = CUMcbb + c1o3*((c3o1*mfcaa + c1o1) * mfabb + c6o1 * mfbba * mfbab) * OOrho;
+ mfbcb = CUMbcb + c1o3*((c3o1*mfaca + c1o1) * mfbab + c6o1 * mfbba * mfabb) * OOrho;
+ mfbbc = CUMbbc + c1o3*((c3o1*mfaac + c1o1) * mfbba + c6o1 * mfbab * mfabb) * OOrho;
+ mfcca = CUMcca + (((mfcaa * mfaca + c2o1 * mfbba * mfbba)*c9o1 + c3o1 * (mfcaa + mfaca)) * OOrho - (drho * OOrho))*c1o9;
+ mfcac = CUMcac + (((mfcaa * mfaac + c2o1 * mfbab * mfbab)*c9o1 + c3o1 * (mfcaa + mfaac)) * OOrho - (drho * OOrho))*c1o9;
+ mfacc = CUMacc + (((mfaac * mfaca + c2o1 * mfabb * mfabb)*c9o1 + c3o1 * (mfaac + mfaca)) * OOrho - (drho * OOrho))*c1o9;
+ //////////////////////////////////////////////////////////////////////////
+ //5.
+ mfbcc = CUMbcc + c1o3 *(c3o1*(mfaac * mfbca + mfaca * mfbac + c4o1 * mfabb * mfbbb + c2o1 * (mfbab * mfacb + mfbba * mfabc)) + (mfbca + mfbac)) * OOrho;
+ mfcbc = CUMcbc + c1o3 *(c3o1*(mfaac * mfcba + mfcaa * mfabc + c4o1 * mfbab * mfbbb + c2o1 * (mfabb * mfcab + mfbba * mfbac)) + (mfcba + mfabc)) * OOrho;
+ mfccb = CUMccb + c1o3 *(c3o1*(mfcaa * mfacb + mfaca * mfcab + c4o1 * mfbba * mfbbb + c2o1 * (mfbab * mfbca + mfabb * mfcba)) + (mfacb + mfcab)) * OOrho;
+ //////////////////////////////////////////////////////////////////////////
+ //6.
+ mfccc = CUMccc - ((-c4o1 * mfbbb * mfbbb
+ - (mfcaa * mfacc + mfaca * mfcac + mfaac * mfcca)
+ - c4o1 * (mfabb * mfcbb + mfbab * mfbcb + mfbba * mfbbc)
+ - c2o1 * (mfbca * mfbac + mfcba * mfabc + mfcab * mfacb)) * OOrho
+ + (c4o1 * (mfbab * mfbab * mfaca + mfabb * mfabb * mfcaa + mfbba * mfbba * mfaac)
+ + c2o1 * (mfcaa * mfaca * mfaac)
+ + c16o1 * mfbba * mfbab * mfabb) * OOrho * OOrho
+ - c1o3 * (mfacc + mfcac + mfcca) * OOrho
+ - c1o9 * (mfcaa + mfaca + mfaac) * OOrho
+ + (c2o1 * (mfbab * mfbab + mfabb * mfabb + mfbba * mfbba)
+ + (mfaac * mfaca + mfaac * mfcaa + mfaca * mfcaa) + c1o3 *(mfaac + mfaca + mfcaa)) * OOrho * OOrho * c2o3
+ + c1o27*((drho * drho - drho) * OOrho * OOrho));
+ ////////////////////////////////////////////////////////////////////////////////////
+ //! - Add acceleration (body force) to first order cumulants according to Eq. (85)-(87) in
+ //! <a href="https://doi.org/10.1016/j.camwa.2015.05.001"><b>[ M. Geier et al. (2015), DOI:10.1016/j.camwa 2015.05.001 ]</b></a>
+ //!
+ mfbaa = -mfbaa;
+ mfaba = -mfaba;
+ mfaab = -mfaab;
+ ////////////////////////////////////////////////////////////////////////////////////
+ //! - Chimera transform from central moments to well conditioned distributions as defined in Appendix J in
+ //! <a href="https://doi.org/10.1016/j.camwa.2015.05.001"><b>[ M. Geier et al. (2015), DOI:10.1016/j.camwa 2015.05.001 ]</b></a>
+ //! see also Eq. (88)-(96) in
+ //! <a href="https://doi.org/10.1016/j.jcp.2017.05.040"><b>[ M. Geier et al. (2017), DOI:10.1016/j.jcp.2017.05 040 ]</b></a>
+ //!
+ ////////////////////////////////////////////////////////////////////////////////////
+ // X - Dir
+ VF::LBM::backwardInverseChimeraWithK(mfaaa, mfbaa, mfcaa, vvx, vx2, c1o1, c1o1);
+ VF::LBM::backwardChimera( mfaba, mfbba, mfcba, vvx, vx2);
+ VF::LBM::backwardInverseChimeraWithK(mfaca, mfbca, mfcca, vvx, vx2, c3o1, c1o3);
+ VF::LBM::backwardChimera( mfaab, mfbab, mfcab, vvx, vx2);
+ VF::LBM::backwardChimera( mfabb, mfbbb, mfcbb, vvx, vx2);
+ VF::LBM::backwardChimera( mfacb, mfbcb, mfccb, vvx, vx2);
+ VF::LBM::backwardInverseChimeraWithK(mfaac, mfbac, mfcac, vvx, vx2, c3o1, c1o3);
+ VF::LBM::backwardChimera( mfabc, mfbbc, mfcbc, vvx, vx2);
+ VF::LBM::backwardInverseChimeraWithK(mfacc, mfbcc, mfccc, vvx, vx2, c9o1, c1o9);
+ ////////////////////////////////////////////////////////////////////////////////////
+ // Y - Dir
+ VF::LBM::backwardInverseChimeraWithK(mfaaa, mfaba, mfaca, vvy, vy2, c6o1, c1o6);
+ VF::LBM::backwardChimera( mfaab, mfabb, mfacb, vvy, vy2);
+ VF::LBM::backwardInverseChimeraWithK(mfaac, mfabc, mfacc, vvy, vy2, c18o1, c1o18);
+ VF::LBM::backwardInverseChimeraWithK(mfbaa, mfbba, mfbca, vvy, vy2, c3o2, c2o3);
+ VF::LBM::backwardChimera( mfbab, mfbbb, mfbcb, vvy, vy2);
+ VF::LBM::backwardInverseChimeraWithK(mfbac, mfbbc, mfbcc, vvy, vy2, c9o2, c2o9);
+ VF::LBM::backwardInverseChimeraWithK(mfcaa, mfcba, mfcca, vvy, vy2, c6o1, c1o6);
+ VF::LBM::backwardChimera( mfcab, mfcbb, mfccb, vvy, vy2);
+ VF::LBM::backwardInverseChimeraWithK(mfcac, mfcbc, mfccc, vvy, vy2, c18o1, c1o18);
+ ////////////////////////////////////////////////////////////////////////////////////
+ // Z - Dir
+ VF::LBM::backwardInverseChimeraWithK(mfaaa, mfaab, mfaac, vvz, vz2, c36o1, c1o36);
+ VF::LBM::backwardInverseChimeraWithK(mfaba, mfabb, mfabc, vvz, vz2, c9o1, c1o9);
+ VF::LBM::backwardInverseChimeraWithK(mfaca, mfacb, mfacc, vvz, vz2, c36o1, c1o36);
+ VF::LBM::backwardInverseChimeraWithK(mfbaa, mfbab, mfbac, vvz, vz2, c9o1, c1o9);
+ VF::LBM::backwardInverseChimeraWithK(mfbba, mfbbb, mfbbc, vvz, vz2, c9o4, c4o9);
+ VF::LBM::backwardInverseChimeraWithK(mfbca, mfbcb, mfbcc, vvz, vz2, c9o1, c1o9);
+ VF::LBM::backwardInverseChimeraWithK(mfcaa, mfcab, mfcac, vvz, vz2, c36o1, c1o36);
+ VF::LBM::backwardInverseChimeraWithK(mfcba, mfcbb, mfcbc, vvz, vz2, c9o1, c1o9);
+ VF::LBM::backwardInverseChimeraWithK(mfcca, mfccb, mfccc, vvz, vz2, c36o1, c1o36);
+
+ ////////////////////////////////////////////////////////////////////////////////////
+ //! - Write distributions: style of reading and writing the distributions from/to
+ //! stored arrays dependent on timestep is based on the esoteric twist algorithm
+ //! <a href="https://doi.org/10.3390/computation5020019"><b>[ M. Geier et al. (2017), DOI:10.3390/computation5020019 ]</b></a>
+ //!
+ (dist.f[dirE ])[k ] = mfabb;
+ (dist.f[dirW ])[kw ] = mfcbb;
+ (dist.f[dirN ])[k ] = mfbab;
+ (dist.f[dirS ])[ks ] = mfbcb;
+ (dist.f[dirT ])[k ] = mfbba;
+ (dist.f[dirB ])[kb ] = mfbbc;
+ (dist.f[dirNE ])[k ] = mfaab;
+ (dist.f[dirSW ])[ksw ] = mfccb;
+ (dist.f[dirSE ])[ks ] = mfacb;
+ (dist.f[dirNW ])[kw ] = mfcab;
+ (dist.f[dirTE ])[k ] = mfaba;
+ (dist.f[dirBW ])[kbw ] = mfcbc;
+ (dist.f[dirBE ])[kb ] = mfabc;
+ (dist.f[dirTW ])[kw ] = mfcba;
+ (dist.f[dirTN ])[k ] = mfbaa;
+ (dist.f[dirBS ])[kbs ] = mfbcc;
+ (dist.f[dirBN ])[kb ] = mfbac;
+ (dist.f[dirTS ])[ks ] = mfbca;
+ (dist.f[dirREST])[k ] = mfbbb;
+ (dist.f[dirTNE ])[k ] = mfaaa;
+ (dist.f[dirTSE ])[ks ] = mfaca;
+ (dist.f[dirBNE ])[kb ] = mfaac;
+ (dist.f[dirBSE ])[kbs ] = mfacc;
+ (dist.f[dirTNW ])[kw ] = mfcaa;
+ (dist.f[dirTSW ])[ksw ] = mfcca;
+ (dist.f[dirBNW ])[kbw ] = mfcac;
+ (dist.f[dirBSW ])[kbsw] = mfccc;
+ }
+}
+////////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////////
extern "C" __global__ void Cumulant_One_preconditioned_errorDiffusion_chim_Comp_SP_27(
- real omega,
- unsigned int* bcMatD,
- unsigned int* neighborX,
- unsigned int* neighborY,
- unsigned int* neighborZ,
- real* DDStart,
- int size_Mat,
- int level,
- real* forces,
- bool EvenOrOdd)
+ real omega,
+ unsigned int* bcMatD,
+ unsigned int* neighborX,
+ unsigned int* neighborY,
+ unsigned int* neighborZ,
+ real* DDStart,
+ int size_Mat,
+ int level,
+ real* forces,
+ bool EvenOrOdd)
{
- ////////////////////////////////////////////////////////////////////////////////
- const unsigned x = threadIdx.x; // Globaler x-Index
- const unsigned y = blockIdx.x; // Globaler y-Index
- const unsigned z = blockIdx.y; // Globaler z-Index
-
- const unsigned nx = blockDim.x;
- const unsigned ny = gridDim.x;
-
- const unsigned k = nx*(ny*z + y) + x;
- //////////////////////////////////////////////////////////////////////////
-
- if (k<size_Mat)
- {
- ////////////////////////////////////////////////////////////////////////////////
- unsigned int BC;
- BC = bcMatD[k];
-
- if (BC >= GEO_FLUID/*(BC != GEO_SOLID) && (BC != GEO_VOID)*/)
- {
- Distributions27 D;
- if (EvenOrOdd == true)
- {
- D.f[dirE] = &DDStart[dirE *size_Mat];
- D.f[dirW] = &DDStart[dirW *size_Mat];
- D.f[dirN] = &DDStart[dirN *size_Mat];
- D.f[dirS] = &DDStart[dirS *size_Mat];
- D.f[dirT] = &DDStart[dirT *size_Mat];
- D.f[dirB] = &DDStart[dirB *size_Mat];
- D.f[dirNE] = &DDStart[dirNE *size_Mat];
- D.f[dirSW] = &DDStart[dirSW *size_Mat];
- D.f[dirSE] = &DDStart[dirSE *size_Mat];
- D.f[dirNW] = &DDStart[dirNW *size_Mat];
- D.f[dirTE] = &DDStart[dirTE *size_Mat];
- D.f[dirBW] = &DDStart[dirBW *size_Mat];
- D.f[dirBE] = &DDStart[dirBE *size_Mat];
- D.f[dirTW] = &DDStart[dirTW *size_Mat];
- D.f[dirTN] = &DDStart[dirTN *size_Mat];
- D.f[dirBS] = &DDStart[dirBS *size_Mat];
- D.f[dirBN] = &DDStart[dirBN *size_Mat];
- D.f[dirTS] = &DDStart[dirTS *size_Mat];
- D.f[dirZERO] = &DDStart[dirZERO*size_Mat];
- D.f[dirTNE] = &DDStart[dirTNE *size_Mat];
- D.f[dirTSW] = &DDStart[dirTSW *size_Mat];
- D.f[dirTSE] = &DDStart[dirTSE *size_Mat];
- D.f[dirTNW] = &DDStart[dirTNW *size_Mat];
- D.f[dirBNE] = &DDStart[dirBNE *size_Mat];
- D.f[dirBSW] = &DDStart[dirBSW *size_Mat];
- D.f[dirBSE] = &DDStart[dirBSE *size_Mat];
- D.f[dirBNW] = &DDStart[dirBNW *size_Mat];
- }
- else
- {
- D.f[dirW] = &DDStart[dirE *size_Mat];
- D.f[dirE] = &DDStart[dirW *size_Mat];
- D.f[dirS] = &DDStart[dirN *size_Mat];
- D.f[dirN] = &DDStart[dirS *size_Mat];
- D.f[dirB] = &DDStart[dirT *size_Mat];
- D.f[dirT] = &DDStart[dirB *size_Mat];
- D.f[dirSW] = &DDStart[dirNE *size_Mat];
- D.f[dirNE] = &DDStart[dirSW *size_Mat];
- D.f[dirNW] = &DDStart[dirSE *size_Mat];
- D.f[dirSE] = &DDStart[dirNW *size_Mat];
- D.f[dirBW] = &DDStart[dirTE *size_Mat];
- D.f[dirTE] = &DDStart[dirBW *size_Mat];
- D.f[dirTW] = &DDStart[dirBE *size_Mat];
- D.f[dirBE] = &DDStart[dirTW *size_Mat];
- D.f[dirBS] = &DDStart[dirTN *size_Mat];
- D.f[dirTN] = &DDStart[dirBS *size_Mat];
- D.f[dirTS] = &DDStart[dirBN *size_Mat];
- D.f[dirBN] = &DDStart[dirTS *size_Mat];
- D.f[dirZERO] = &DDStart[dirZERO*size_Mat];
- D.f[dirBSW] = &DDStart[dirTNE *size_Mat];
- D.f[dirBNE] = &DDStart[dirTSW *size_Mat];
- D.f[dirBNW] = &DDStart[dirTSE *size_Mat];
- D.f[dirBSE] = &DDStart[dirTNW *size_Mat];
- D.f[dirTSW] = &DDStart[dirBNE *size_Mat];
- D.f[dirTNE] = &DDStart[dirBSW *size_Mat];
- D.f[dirTNW] = &DDStart[dirBSE *size_Mat];
- D.f[dirTSE] = &DDStart[dirBNW *size_Mat];
- }
-
- ////////////////////////////////////////////////////////////////////////////////
- //index
- //unsigned int kzero= k;
- //unsigned int ke = k;
- unsigned int kw = neighborX[k];
- //unsigned int kn = k;
- unsigned int ks = neighborY[k];
- //unsigned int kt = k;
- unsigned int kb = neighborZ[k];
- unsigned int ksw = neighborY[kw];
- //unsigned int kne = k;
- //unsigned int kse = ks;
- //unsigned int knw = kw;
- unsigned int kbw = neighborZ[kw];
- //unsigned int kte = k;
- //unsigned int kbe = kb;
- //unsigned int ktw = kw;
- unsigned int kbs = neighborZ[ks];
- //unsigned int ktn = k;
- //unsigned int kbn = kb;
- //unsigned int kts = ks;
- //unsigned int ktse = ks;
- //unsigned int kbnw = kbw;
- //unsigned int ktnw = kw;
- //unsigned int kbse = kbs;
- //unsigned int ktsw = ksw;
- //unsigned int kbne = kb;
- //unsigned int ktne = k;
- unsigned int kbsw = neighborZ[ksw];
-
-
-
- //////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
- real mfcbb = (D.f[dirE])[k];//[ke ];// + c2over27 ;(D.f[dirE ])[k ];//ke
- real mfabb = (D.f[dirW])[kw];//[kw ];// + c2over27 ;(D.f[dirW ])[kw ];
- real mfbcb = (D.f[dirN])[k];//[kn ];// + c2over27 ;(D.f[dirN ])[k ];//kn
- real mfbab = (D.f[dirS])[ks];//[ks ];// + c2over27 ;(D.f[dirS ])[ks ];
- real mfbbc = (D.f[dirT])[k];//[kt ];// + c2over27 ;(D.f[dirT ])[k ];//kt
- real mfbba = (D.f[dirB])[kb];//[kb ];// + c2over27 ;(D.f[dirB ])[kb ];
- real mfccb = (D.f[dirNE])[k];//[kne ];// + c1over54 ;(D.f[dirNE ])[k ];//kne
- real mfaab = (D.f[dirSW])[ksw];//[ksw ];// + c1over54 ;(D.f[dirSW ])[ksw];
- real mfcab = (D.f[dirSE])[ks];//[kse ];// + c1over54 ;(D.f[dirSE ])[ks ];//kse
- real mfacb = (D.f[dirNW])[kw];//[knw ];// + c1over54 ;(D.f[dirNW ])[kw ];//knw
- real mfcbc = (D.f[dirTE])[k];//[kte ];// + c1over54 ;(D.f[dirTE ])[k ];//kte
- real mfaba = (D.f[dirBW])[kbw];//[kbw ];// + c1over54 ;(D.f[dirBW ])[kbw];
- real mfcba = (D.f[dirBE])[kb];//[kbe ];// + c1over54 ;(D.f[dirBE ])[kb ];//kbe
- real mfabc = (D.f[dirTW])[kw];//[ktw ];// + c1over54 ;(D.f[dirTW ])[kw ];//ktw
- real mfbcc = (D.f[dirTN])[k];//[ktn ];// + c1over54 ;(D.f[dirTN ])[k ];//ktn
- real mfbaa = (D.f[dirBS])[kbs];//[kbs ];// + c1over54 ;(D.f[dirBS ])[kbs];
- real mfbca = (D.f[dirBN])[kb];//[kbn ];// + c1over54 ;(D.f[dirBN ])[kb ];//kbn
- real mfbac = (D.f[dirTS])[ks];//[kts ];// + c1over54 ;(D.f[dirTS ])[ks ];//kts
- real mfbbb = (D.f[dirZERO])[k];//[kzero];// + c8over27 ;(D.f[dirZERO])[k ];//kzero
- real mfccc = (D.f[dirTNE])[k];//[ktne ];// + c1over216;(D.f[dirTNE ])[k ];//ktne
- real mfaac = (D.f[dirTSW])[ksw];//[ktsw ];// + c1over216;(D.f[dirTSW ])[ksw];//ktsw
- real mfcac = (D.f[dirTSE])[ks];//[ktse ];// + c1over216;(D.f[dirTSE ])[ks ];//ktse
- real mfacc = (D.f[dirTNW])[kw];//[ktnw ];// + c1over216;(D.f[dirTNW ])[kw ];//ktnw
- real mfcca = (D.f[dirBNE])[kb];//[kbne ];// + c1over216;(D.f[dirBNE ])[kb ];//kbne
- real mfaaa = (D.f[dirBSW])[kbsw];//[kbsw ];// + c1over216;(D.f[dirBSW ])[kbsw];
- real mfcaa = (D.f[dirBSE])[kbs];//[kbse ];// + c1over216;(D.f[dirBSE ])[kbs];//kbse
- real mfaca = (D.f[dirBNW])[kbw];//[kbnw ];// + c1over216;(D.f[dirBNW ])[kbw];//kbnw
- ////////////////////////////////////////////////////////////////////////////////////
- real drho = ((((mfccc + mfaaa) + (mfaca + mfcac)) + ((mfacc + mfcaa) + (mfaac + mfcca))) +
- (((mfbac + mfbca) + (mfbaa + mfbcc)) + ((mfabc + mfcba) + (mfaba + mfcbc)) + ((mfacb + mfcab) + (mfaab + mfccb))) +
- ((mfabb + mfcbb) + (mfbab + mfbcb) + (mfbba + mfbbc))) + mfbbb;
-
- real rho = c1o1 + drho;
- ////////////////////////////////////////////////////////////////////////////////////
- real vvx = ((((mfccc - mfaaa) + (mfcac - mfaca)) + ((mfcaa - mfacc) + (mfcca - mfaac))) +
- (((mfcba - mfabc) + (mfcbc - mfaba)) + ((mfcab - mfacb) + (mfccb - mfaab))) +
- (mfcbb - mfabb)) / rho;
- real vvy = ((((mfccc - mfaaa) + (mfaca - mfcac)) + ((mfacc - mfcaa) + (mfcca - mfaac))) +
- (((mfbca - mfbac) + (mfbcc - mfbaa)) + ((mfacb - mfcab) + (mfccb - mfaab))) +
- (mfbcb - mfbab)) / rho;
- real vvz = ((((mfccc - mfaaa) + (mfcac - mfaca)) + ((mfacc - mfcaa) + (mfaac - mfcca))) +
- (((mfbac - mfbca) + (mfbcc - mfbaa)) + ((mfabc - mfcba) + (mfcbc - mfaba))) +
- (mfbbc - mfbba)) / rho;
- ////////////////////////////////////////////////////////////////////////////////////
- //the force be with you
- real fx = forces[0] / (pow((double)c2o1, (double)level)); //zero;//0.0032653/(pow(two,level)); //0.000000005;//(two/1600000.0) / 120.0; //
- real fy = forces[1] / (pow((double)c2o1, (double)level)); //zero;
- real fz = forces[2] / (pow((double)c2o1, (double)level)); //zero;
- vvx += fx*c1o2;
- vvy += fy*c1o2;
- vvz += fz*c1o2;
- ////////////////////////////////////////////////////////////////////////////////////
- //real omega = omega_in;
- ////////////////////////////////////////////////////////////////////////////////////
- //fast
- //real oMdrho = c1o1; // comp special
- //real m0, m1, m2;
- real vx2;
- real vy2;
- real vz2;
- vx2 = vvx*vvx;
- vy2 = vvy*vvy;
- vz2 = vvz*vvz;
- ////////////////////////////////////////////////////////////////////////////////////
- //real wadjust;
- //real qudricLimitP = c1o100;// * 0.0001f;
- //real qudricLimitM = c1o100;// * 0.0001f;
- //real qudricLimitD = c1o100;// * 0.001f;
- //real s9 = minusomega;
- //test
- //s9 = 0.;
-
-
- //////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
- real EQcbb = c0o1;
- real EQabb = c0o1;
- real EQbcb = c0o1;
- real EQbab = c0o1;
- real EQbbc = c0o1;
- real EQbba = c0o1;
- real EQccb = c0o1;
- real EQaab = c0o1;
- real EQcab = c0o1;
- real EQacb = c0o1;
- real EQcbc = c0o1;
- real EQaba = c0o1;
- real EQcba = c0o1;
- real EQabc = c0o1;
- real EQbcc = c0o1;
- real EQbaa = c0o1;
- real EQbca = c0o1;
- real EQbac = c0o1;
- real EQbbb = c0o1;
- real EQccc = drho * c1o27;
- real EQaac = drho * c1o3;
- real EQcac = drho * c1o9;
- real EQacc = drho * c1o9;
- real EQcca = drho * c1o9;
- real EQaaa = drho;
- real EQcaa = drho * c1o3;
- real EQaca = drho * c1o3;
- ////////////////////////////////////////////////////////////////////////////////////
- VF::LBM::backwardChimeraWithK(EQaaa, EQaab, EQaac, vvz, vz2, c1o1);
- VF::LBM::backwardChimeraWithK(EQaca, EQacb, EQacc, vvz, vz2, c1o3);
- ///////////////////////////////////////////////////////////
- EQcaa = EQaca; EQcab = EQacb; EQcac = EQacc;
- ///////////////////////////////////////////////////////////
- VF::LBM::backwardChimeraWithK(EQcca, EQccb, EQccc, vvz, vz2, c1o9);
-
- VF::LBM::backwardChimeraWithK(EQaaa, EQaba, EQaca, vvy, vy2, c1o6);
- VF::LBM::backwardChimeraWithK(EQaab, EQabb, EQacb, vvy, vy2, c2o3);
- VF::LBM::backwardChimeraWithK(EQaac, EQabc, EQacc, vvy, vy2, c1o6);
- VF::LBM::backwardChimeraWithK(EQcaa, EQcba, EQcca, vvy, vy2, c1o18);
- VF::LBM::backwardChimeraWithK(EQcab, EQcbb, EQccb, vvy, vy2, c2o9);
- VF::LBM::backwardChimeraWithK(EQcac, EQcbc, EQccc, vvy, vy2, c1o18);
-
- VF::LBM::backwardChimeraWithK(EQaaa, EQbaa, EQcaa, vvx, vx2, c1o36);
- VF::LBM::backwardChimeraWithK(EQaab, EQbab, EQcab, vvx, vx2, c1o9);
- VF::LBM::backwardChimeraWithK(EQaac, EQbac, EQcac, vvx, vx2, c1o36);
- VF::LBM::backwardChimeraWithK(EQaba, EQbba, EQcba, vvx, vx2, c1o9);
- VF::LBM::backwardChimeraWithK(EQabb, EQbbb, EQcbb, vvx, vx2, c4o9);
- VF::LBM::backwardChimeraWithK(EQabc, EQbbc, EQcbc, vvx, vx2, c1o9);
- VF::LBM::backwardChimeraWithK(EQaca, EQbca, EQcca, vvx, vx2, c1o36);
- VF::LBM::backwardChimeraWithK(EQacb, EQbcb, EQccb, vvx, vx2, c1o9);
- VF::LBM::backwardChimeraWithK(EQacc, EQbcc, EQccc, vvx, vx2, c1o36);
-
- ////////////////////////////////////////////////////////////////////////////////////
- //Pre-condition
- mfcbb -= EQcbb;
- mfabb -= EQabb;
- mfbcb -= EQbcb;
- mfbab -= EQbab;
- mfbbc -= EQbbc;
- mfbba -= EQbba;
- mfccb -= EQccb;
- mfaab -= EQaab;
- mfcab -= EQcab;
- mfacb -= EQacb;
- mfcbc -= EQcbc;
- mfaba -= EQaba;
- mfcba -= EQcba;
- mfabc -= EQabc;
- mfbcc -= EQbcc;
- mfbaa -= EQbaa;
- mfbca -= EQbca;
- mfbac -= EQbac;
- mfbbb -= EQbbb;
- mfccc -= EQccc;
- mfaac -= EQaac;
- mfcac -= EQcac;
- mfacc -= EQacc;
- mfcca -= EQcca;
- mfaaa -= EQaaa;
- mfcaa -= EQcaa;
- mfaca -= EQaca;
-
- ////////////////////////////////////////////////////////////////////////////////////
- //Hin
- ////////////////////////////////////////////////////////////////////////////////////
- VF::LBM::forwardChimera(mfaaa, mfaab, mfaac, vvz, vz2);
- VF::LBM::forwardChimera(mfaba, mfabb, mfabc, vvz, vz2);
- VF::LBM::forwardChimera(mfaca, mfacb, mfacc, vvz, vz2);
- VF::LBM::forwardChimera(mfbaa, mfbab, mfbac, vvz, vz2);
- VF::LBM::forwardChimera(mfbba, mfbbb, mfbbc, vvz, vz2);
- VF::LBM::forwardChimera(mfbca, mfbcb, mfbcc, vvz, vz2);
- VF::LBM::forwardChimera(mfcaa, mfcab, mfcac, vvz, vz2);
- VF::LBM::forwardChimera(mfcba, mfcbb, mfcbc, vvz, vz2);
- VF::LBM::forwardChimera(mfcca, mfccb, mfccc, vvz, vz2);
-
- VF::LBM::forwardChimera(mfaaa, mfaba, mfaca, vvy, vy2);
- VF::LBM::forwardChimera(mfaab, mfabb, mfacb, vvy, vy2);
- VF::LBM::forwardChimera(mfaac, mfabc, mfacc, vvy, vy2);
- VF::LBM::forwardChimera(mfbaa, mfbba, mfbca, vvy, vy2);
- VF::LBM::forwardChimera(mfbab, mfbbb, mfbcb, vvy, vy2);
- VF::LBM::forwardChimera(mfbac, mfbbc, mfbcc, vvy, vy2);
- VF::LBM::forwardChimera(mfcaa, mfcba, mfcca, vvy, vy2);
- VF::LBM::forwardChimera(mfcab, mfcbb, mfccb, vvy, vy2);
- VF::LBM::forwardChimera(mfcac, mfcbc, mfccc, vvy, vy2);
-
- VF::LBM::forwardChimera(mfaaa, mfbaa, mfcaa, vvx, vx2);
- VF::LBM::forwardChimera(mfaab, mfbab, mfcab, vvx, vx2);
- VF::LBM::forwardChimera(mfaac, mfbac, mfcac, vvx, vx2);
- VF::LBM::forwardChimera(mfaba, mfbba, mfcba, vvx, vx2);
- VF::LBM::forwardChimera(mfabb, mfbbb, mfcbb, vvx, vx2);
- VF::LBM::forwardChimera(mfabc, mfbbc, mfcbc, vvx, vx2);
- VF::LBM::forwardChimera(mfaca, mfbca, mfcca, vvx, vx2);
- VF::LBM::forwardChimera(mfacb, mfbcb, mfccb, vvx, vx2);
- VF::LBM::forwardChimera(mfacc, mfbcc, mfccc, vvx, vx2);
-
- //////////////////////////////////////////////////////////////////////////////////////
- ////Hin
- //////////////////////////////////////////////////////////////////////////////////////
- //// mit 1/36, 1/9, 1/36, 1/9, 4/9, 1/9, 1/36, 1/9, 1/36 Konditionieren
- //////////////////////////////////////////////////////////////////////////////////////
- //// Z - Dir
- //forwardChimeraWithK(mfaaa, mfaab, mfaac, vvz, vz2, c1o36);
- //////////////////////////////////////////////////////////////////////////////////////
- //forwardChimeraWithK(mfaba, mfabb, mfabc, vvz, vz2, c1o9);
- //////////////////////////////////////////////////////////////////////////////////////
- //forwardChimeraWithK(mfaca, mfacb, mfacc, vvz, vz2, c1o36);
- //////////////////////////////////////////////////////////////////////////////////////
- //////////////////////////////////////////////////////////////////////////////////////
- //forwardChimeraWithK(mfbaa, mfbab, mfbac, vvz, vz2, c1o9);
- //////////////////////////////////////////////////////////////////////////////////////
- //forwardChimeraWithK(mfbba, mfbbb, mfbbc, vvz, vz2, c4o9);
- //////////////////////////////////////////////////////////////////////////////////////
- //forwardChimeraWithK(mfbca, mfbcb, mfbcc, vvz, vz2, c1o9);
- //////////////////////////////////////////////////////////////////////////////////////
- //////////////////////////////////////////////////////////////////////////////////////
- //forwardChimeraWithK(mfcaa, mfcab, mfcac, vvz, vz2, c1o36);
- //////////////////////////////////////////////////////////////////////////////////////
- //forwardChimeraWithK(mfcba, mfcbb, mfcbc, vvz, vz2, c1o9);
- //////////////////////////////////////////////////////////////////////////////////////
- //forwardChimeraWithK(mfcca, mfccb, mfccc, vvz, vz2, c1o36);
- //////////////////////////////////////////////////////////////////////////////////////
- //////////////////////////////////////////////////////////////////////////////////////
- //// mit 1/6, 0, 1/18, 2/3, 0, 2/9, 1/6, 0, 1/18 Konditionieren
- //////////////////////////////////////////////////////////////////////////////////////
- //// Y - Dir
- //forwardChimeraWithK(mfaaa, mfaba, mfaca, vvy, vy2, c1o6);
- //////////////////////////////////////////////////////////////////////////////////////
- //forwardChimera(mfaab, mfabb, mfacb, vvy, vy2);
- //////////////////////////////////////////////////////////////////////////////////////
- //forwardChimeraWithK(mfaac, mfabc, mfacc, vvy, vy2, c1o18);
- //////////////////////////////////////////////////////////////////////////////////////
- //////////////////////////////////////////////////////////////////////////////////////
- //forwardChimeraWithK(mfbaa, mfbba, mfbca, vvy, vy2, c2o3);
- //////////////////////////////////////////////////////////////////////////////////////
- //forwardChimera(mfbab, mfbbb, mfbcb, vvy, vy2);
- //////////////////////////////////////////////////////////////////////////////////////
- //forwardChimeraWithK(mfbac, mfbbc, mfbcc, vvy, vy2, c2o9);
- //////////////////////////////////////////////////////////////////////////////////////
- //////////////////////////////////////////////////////////////////////////////////////
- //forwardChimeraWithK(mfcaa, mfcba, mfcca, vvy, vy2, c1o6);
- //////////////////////////////////////////////////////////////////////////////////////
- //forwardChimera(mfcab, mfcbb, mfccb, vvy, vy2);
- //////////////////////////////////////////////////////////////////////////////////////
- //forwardChimeraWithK(mfcac, mfcbc, mfccc, vvy, vy2, c1o18);
- //////////////////////////////////////////////////////////////////////////////////////
- //////////////////////////////////////////////////////////////////////////////////////
- //// mit 1, 0, 1/3, 0, 0, 0, 1/3, 0, 1/9 Konditionieren
- //////////////////////////////////////////////////////////////////////////////////////
- //// X - Dir
- //forwardChimeraWithK(mfaaa, mfbaa, mfcaa, vvx, vx2, one);
- //////////////////////////////////////////////////////////////////////////////////////
- //forwardChimera(mfaba, mfbba, mfcba, vvx, vx2);
- //////////////////////////////////////////////////////////////////////////////////////
- //forwardChimeraWithK(mfaca, mfbca, mfcca, vvx, vx2, c1o3);
- //////////////////////////////////////////////////////////////////////////////////////
- //////////////////////////////////////////////////////////////////////////////////////
- //forwardChimera(mfaab, mfbab, mfcab, vvx, vx2);
- //////////////////////////////////////////////////////////////////////////////////////
- //forwardChimera(mfabb, mfbbb, mfcbb, vvx, vx2);
- //////////////////////////////////////////////////////////////////////////////////////
- //forwardChimera(mfacb, mfbcb, mfccb, vvx, vx2);
- //////////////////////////////////////////////////////////////////////////////////////
- //////////////////////////////////////////////////////////////////////////////////////
- //forwardChimeraWithK(mfaac, mfbac, mfcac, vvx, vx2, c1o3);
- //////////////////////////////////////////////////////////////////////////////////////
- //forwardChimera(mfabc, mfbbc, mfcbc, vvx, vx2);
- //////////////////////////////////////////////////////////////////////////////////////
- //forwardChimeraWithK(mfacc, mfbcc, mfccc, vvx, vx2, c1o9);
- //////////////////////////////////////////////////////////////////////////////////////
- //////////////////////////////////////////////////////////////////////////////////////
-
-
- ////////////////////////////////////////////////////////////////////////////////////
- // Cumulants
- ////////////////////////////////////////////////////////////////////////////////////
- real OxxPyyPzz = c1o1; //omega; // one; //set the bulk viscosity one is high / two is very low and zero is (too) high
-
- ////////////////////////////////////////////////////////////
- //3.
- //////////////////////////////
- real OxyyPxzz = c1o1;
- real OxyyMxzz = c1o1;
- //real Oxyz = c1o1;
- ////////////////////////////////////////////////////////////
- //4.
- //////////////////////////////
- real O4 = c1o1;
- ////////////////////////////////////////////////////////////
- //5.
- //////////////////////////////
- real O5 = c1o1;
- ////////////////////////////////////////////////////////////
- //6.
- //////////////////////////////
- real O6 = c1o1;
- ////////////////////////////////////////////////////////////
-
-
- //central moments to cumulants
- //4.
- real CUMcbb = mfcbb - ((mfcaa + c1o3) * mfabb + c2o1 * mfbba * mfbab) / rho;
- real CUMbcb = mfbcb - ((mfaca + c1o3) * mfbab + c2o1 * mfbba * mfabb) / rho;
- real CUMbbc = mfbbc - ((mfaac + c1o3) * mfbba + c2o1 * mfbab * mfabb) / rho;
-
- real CUMcca = mfcca - (((mfcaa * mfaca + c2o1 * mfbba * mfbba) + c1o3 * (mfcaa + mfaca)) / rho - c1o9*(drho / rho));
- real CUMcac = mfcac - (((mfcaa * mfaac + c2o1 * mfbab * mfbab) + c1o3 * (mfcaa + mfaac)) / rho - c1o9*(drho / rho));
- real CUMacc = mfacc - (((mfaac * mfaca + c2o1 * mfabb * mfabb) + c1o3 * (mfaac + mfaca)) / rho - c1o9*(drho / rho));
-
- //5.
- real CUMbcc = mfbcc - ((mfaac * mfbca + mfaca * mfbac + c4o1 * mfabb * mfbbb + c2o1 * (mfbab * mfacb + mfbba * mfabc)) + c1o3 * (mfbca + mfbac)) / rho;
- real CUMcbc = mfcbc - ((mfaac * mfcba + mfcaa * mfabc + c4o1 * mfbab * mfbbb + c2o1 * (mfabb * mfcab + mfbba * mfbac)) + c1o3 * (mfcba + mfabc)) / rho;
- real CUMccb = mfccb - ((mfcaa * mfacb + mfaca * mfcab + c4o1 * mfbba * mfbbb + c2o1 * (mfbab * mfbca + mfabb * mfcba)) + c1o3 * (mfacb + mfcab)) / rho;
-
- //6.
-
- real CUMccc = mfccc + ((-c4o1 * mfbbb * mfbbb
- - (mfcaa * mfacc + mfaca * mfcac + mfaac * mfcca)
- - c4o1 * (mfabb * mfcbb + mfbab * mfbcb + mfbba * mfbbc)
- - c2o1 * (mfbca * mfbac + mfcba * mfabc + mfcab * mfacb)) / rho
- + (c4o1 * (mfbab * mfbab * mfaca + mfabb * mfabb * mfcaa + mfbba * mfbba * mfaac)
- + c2o1 * (mfcaa * mfaca * mfaac)
- + c16o1 * mfbba * mfbab * mfabb) / (rho * rho)
- - c1o3 * (mfacc + mfcac + mfcca) / rho
- - c1o9 * (mfcaa + mfaca + mfaac) / rho
- + (c2o1 * (mfbab * mfbab + mfabb * mfabb + mfbba * mfbba)
- + (mfaac * mfaca + mfaac * mfcaa + mfaca * mfcaa) + c1o3 *(mfaac + mfaca + mfcaa)) / (rho * rho) * c2o3
- + c1o27*((drho * drho - drho) / (rho*rho)));
-
-
-
-
- //2.
- // linear combinations
- real mxxPyyPzz = mfcaa + mfaca + mfaac;
- real mxxMyy = mfcaa - mfaca;
- real mxxMzz = mfcaa - mfaac;
-
- /////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
- //incl. correction (hat noch nicht so gut funktioniert...Optimierungsbedarf??)
- {
- real dxux = c1o2 * (-omega) *(mxxMyy + mxxMzz) + c1o2 * OxxPyyPzz * (mfaaa - mxxPyyPzz);
- real dyuy = dxux + omega * c3o2 * mxxMyy;
- real dzuz = dxux + omega * c3o2 * mxxMzz;
-
- //relax
- mxxPyyPzz += OxxPyyPzz*(mfaaa - mxxPyyPzz) - c3o1 * (c1o1 - c1o2 * OxxPyyPzz) * (vx2 * dxux + vy2 * dyuy + vz2 * dzuz);//-magicBulk*OxxPyyPzz;
- mxxMyy += omega * (-mxxMyy) - c3o1 * (c1o1 + c1o2 * (-omega)) * (vx2 * dxux - vy2 * dyuy);
- mxxMzz += omega * (-mxxMzz) - c3o1 * (c1o1 + c1o2 * (-omega)) * (vx2 * dxux - vz2 * dzuz);
-
- }
- /////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
-
- /////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
- ////no correction
- //mxxPyyPzz += OxxPyyPzz*(mfaaa - mxxPyyPzz);//-magicBulk*OxxPyyPzz;
- //mxxMyy += -(-omega) * (-mxxMyy);
- //mxxMzz += -(-omega) * (-mxxMzz);
- /////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
- mfabb += omega * (-mfabb);
- mfbab += omega * (-mfbab);
- mfbba += omega * (-mfbba);
-
- //////////////////////////////////////////////////////////////////////////
-
- // linear combinations back
- mfcaa = c1o3 * (mxxMyy + mxxMzz + mxxPyyPzz);
- mfaca = c1o3 * (-c2o1* mxxMyy + mxxMzz + mxxPyyPzz);
- mfaac = c1o3 * (mxxMyy - c2o1* mxxMzz + mxxPyyPzz);
-
- //3.
- // linear combinations
-
- real mxxyPyzz = mfcba + mfabc;
- real mxxyMyzz = mfcba - mfabc;
-
- real mxxzPyyz = mfcab + mfacb;
- real mxxzMyyz = mfcab - mfacb;
-
- real mxyyPxzz = mfbca + mfbac;
- real mxyyMxzz = mfbca - mfbac;
-
- //relax
- //////////////////////////////////////////////////////////////////////////
- mfbbb += OxyyMxzz * (-mfbbb);
- mxxyPyzz += OxyyPxzz * (-mxxyPyzz);
- mxxyMyzz += OxyyMxzz * (-mxxyMyzz);
- mxxzPyyz += OxyyPxzz * (-mxxzPyyz);
- mxxzMyyz += OxyyMxzz * (-mxxzMyyz);
- mxyyPxzz += OxyyPxzz * (-mxyyPxzz);
- mxyyMxzz += OxyyMxzz * (-mxyyMxzz);
- //////////////////////////////////////////////////////////////////////////
-
- mfcba = (mxxyMyzz + mxxyPyzz) * c1o2;
- mfabc = (-mxxyMyzz + mxxyPyzz) * c1o2;
- mfcab = (mxxzMyyz + mxxzPyyz) * c1o2;
- mfacb = (-mxxzMyyz + mxxzPyyz) * c1o2;
- mfbca = (mxyyMxzz + mxyyPxzz) * c1o2;
- mfbac = (-mxyyMxzz + mxyyPxzz) * c1o2;
-
- //4.
- //////////////////////////////////////////////////////////////////////////
- CUMacc += O4 * (-CUMacc);
- CUMcac += O4 * (-CUMcac);
- CUMcca += O4 * (-CUMcca);
-
- CUMbbc += O4 * (-CUMbbc);
- CUMbcb += O4 * (-CUMbcb);
- CUMcbb += O4 * (-CUMcbb);
- //////////////////////////////////////////////////////////////////////////
-
-
- //5.
- CUMbcc += O5 * (-CUMbcc);
- CUMcbc += O5 * (-CUMcbc);
- CUMccb += O5 * (-CUMccb);
-
- //6.
- CUMccc += O6 * (-CUMccc);
-
-
-
- //back cumulants to central moments
- //4.
- mfcbb = CUMcbb + ((mfcaa + c1o3) * mfabb + c2o1 * mfbba * mfbab) / rho;
- mfbcb = CUMbcb + ((mfaca + c1o3) * mfbab + c2o1 * mfbba * mfabb) / rho;
- mfbbc = CUMbbc + ((mfaac + c1o3) * mfbba + c2o1 * mfbab * mfabb) / rho;
-
- mfcca = CUMcca + (((mfcaa * mfaca + c2o1 * mfbba * mfbba) + c1o3 * (mfcaa + mfaca)) / rho - c1o9*(drho / rho));
- mfcac = CUMcac + (((mfcaa * mfaac + c2o1 * mfbab * mfbab) + c1o3 * (mfcaa + mfaac)) / rho - c1o9*(drho / rho));
- mfacc = CUMacc + (((mfaac * mfaca + c2o1 * mfabb * mfabb) + c1o3 * (mfaac + mfaca)) / rho - c1o9*(drho / rho));
-
- //5.
- mfbcc = CUMbcc + ((mfaac * mfbca + mfaca * mfbac + c4o1 * mfabb * mfbbb + c2o1 * (mfbab * mfacb + mfbba * mfabc)) + c1o3 * (mfbca + mfbac)) / rho;
- mfcbc = CUMcbc + ((mfaac * mfcba + mfcaa * mfabc + c4o1 * mfbab * mfbbb + c2o1 * (mfabb * mfcab + mfbba * mfbac)) + c1o3 * (mfcba + mfabc)) / rho;
- mfccb = CUMccb + ((mfcaa * mfacb + mfaca * mfcab + c4o1 * mfbba * mfbbb + c2o1 * (mfbab * mfbca + mfabb * mfcba)) + c1o3 * (mfacb + mfcab)) / rho;
-
- //6.
- mfccc = CUMccc - ((-c4o1 * mfbbb * mfbbb
- - (mfcaa * mfacc + mfaca * mfcac + mfaac * mfcca)
- - c4o1 * (mfabb * mfcbb + mfbab * mfbcb + mfbba * mfbbc)
- - c2o1 * (mfbca * mfbac + mfcba * mfabc + mfcab * mfacb)) / rho
- + (c4o1 * (mfbab * mfbab * mfaca + mfabb * mfabb * mfcaa + mfbba * mfbba * mfaac)
- + c2o1 * (mfcaa * mfaca * mfaac)
- + c16o1 * mfbba * mfbab * mfabb) / (rho * rho)
- - c1o3 * (mfacc + mfcac + mfcca) / rho
- - c1o9 * (mfcaa + mfaca + mfaac) / rho
- + (c2o1 * (mfbab * mfbab + mfabb * mfabb + mfbba * mfbba)
- + (mfaac * mfaca + mfaac * mfcaa + mfaca * mfcaa) + c1o3 *(mfaac + mfaca + mfcaa)) / (rho * rho) * c2o3
- + c1o27*((drho * drho - drho) / (rho*rho)));
-
- ////////////////////////////////////////////////////////////////////////////////////
- //the force be with you
- mfbaa = -mfbaa;
- mfaba = -mfaba;
- mfaab = -mfaab;
- ////////////////////////////////////////////////////////////////////////////////////
-
-
- ////////////////////////////////////////////////////////////////////////////////////
- //back
- ////////////////////////////////////////////////////////////////////////////////////
- VF::LBM::backwardChimera(mfaaa, mfaab, mfaac, vvz, vz2);
- VF::LBM::backwardChimera(mfaba, mfabb, mfabc, vvz, vz2);
- VF::LBM::backwardChimera(mfaca, mfacb, mfacc, vvz, vz2);
- VF::LBM::backwardChimera(mfbaa, mfbab, mfbac, vvz, vz2);
- VF::LBM::backwardChimera(mfbba, mfbbb, mfbbc, vvz, vz2);
- VF::LBM::backwardChimera(mfbca, mfbcb, mfbcc, vvz, vz2);
- VF::LBM::backwardChimera(mfcaa, mfcab, mfcac, vvz, vz2);
- VF::LBM::backwardChimera(mfcba, mfcbb, mfcbc, vvz, vz2);
- VF::LBM::backwardChimera(mfcca, mfccb, mfccc, vvz, vz2);
-
- VF::LBM::backwardChimera(mfaaa, mfaba, mfaca, vvy, vy2);
- VF::LBM::backwardChimera(mfaab, mfabb, mfacb, vvy, vy2);
- VF::LBM::backwardChimera(mfaac, mfabc, mfacc, vvy, vy2);
- VF::LBM::backwardChimera(mfbaa, mfbba, mfbca, vvy, vy2);
- VF::LBM::backwardChimera(mfbab, mfbbb, mfbcb, vvy, vy2);
- VF::LBM::backwardChimera(mfbac, mfbbc, mfbcc, vvy, vy2);
- VF::LBM::backwardChimera(mfcaa, mfcba, mfcca, vvy, vy2);
- VF::LBM::backwardChimera(mfcab, mfcbb, mfccb, vvy, vy2);
- VF::LBM::backwardChimera(mfcac, mfcbc, mfccc, vvy, vy2);
-
- VF::LBM::backwardChimera(mfaaa, mfbaa, mfcaa, vvx, vx2);
- VF::LBM::backwardChimera(mfaab, mfbab, mfcab, vvx, vx2);
- VF::LBM::backwardChimera(mfaac, mfbac, mfcac, vvx, vx2);
- VF::LBM::backwardChimera(mfaba, mfbba, mfcba, vvx, vx2);
- VF::LBM::backwardChimera(mfabb, mfbbb, mfcbb, vvx, vx2);
- VF::LBM::backwardChimera(mfabc, mfbbc, mfcbc, vvx, vx2);
- VF::LBM::backwardChimera(mfaca, mfbca, mfcca, vvx, vx2);
- VF::LBM::backwardChimera(mfacb, mfbcb, mfccb, vvx, vx2);
- VF::LBM::backwardChimera(mfacc, mfbcc, mfccc, vvx, vx2);
-
- ////////////////////////////////////////////////////////////////////////////////////
- //mfcbb += EQcbb;
- //mfabb += EQabb;
- //mfbcb += EQbcb;
- //mfbab += EQbab;
- //mfbbc += EQbbc;
- //mfbba += EQbba;
- //mfccb += EQccb;
- //mfaab += EQaab;
- //mfcab += EQcab;
- //mfacb += EQacb;
- //mfcbc += EQcbc;
- //mfaba += EQaba;
- //mfcba += EQcba;
- //mfabc += EQabc;
- //mfbcc += EQbcc;
- //mfbaa += EQbaa;
- //mfbca += EQbca;
- //mfbac += EQbac;
- //mfbbb += EQbbb;
- //mfccc += EQccc;
- //mfaac += EQaac;
- //mfcac += EQcac;
- //mfacc += EQacc;
- //mfcca += EQcca;
- //mfaaa += EQaaa;
- //mfcaa += EQcaa;
- //mfaca += EQaca;
- ////////////////////////////////////////////////////////////////////////////////////
- ////Error diffusion
- real fTEMP = mfbbb + EQbbb;
- real delta0 = mfbbb - (fTEMP - EQbbb);
- delta0 *= c1o4;
- mfbbb = fTEMP;
-
-
- fTEMP = mfcbb + EQcbb;
- real deltacbb = mfcbb - (fTEMP - EQcbb);
- mfcbb = fTEMP;
- //mfcbb+=EQcbb;
-
- fTEMP = mfabb + EQabb;
- real deltaabb = mfabb - (fTEMP - EQabb);
- mfabb = fTEMP;
- //mfabb+=EQabb;
-
- fTEMP = mfbcb + EQbcb;
- real deltabcb = mfbcb - (fTEMP - EQbcb);
- mfbcb = fTEMP;
- //mfbcb+=EQbcb;
-
- fTEMP = mfbab + EQbab;
- real deltabab = mfbab - (fTEMP - EQbab);
- mfbab = fTEMP;
- //mfbab+=EQbab;
-
- fTEMP = mfbbc + EQbbc;
- real deltabbc = mfbbc - (fTEMP - EQbbc);
- mfbbc = fTEMP;
- //mfbbc+=EQbbc;
-
- fTEMP = mfbba + EQbba;
- real deltabba = mfbba - (fTEMP - EQbba);
- mfbba = fTEMP;
- //mfbba+=EQbba;
-
- EQccb += (delta0 + c1o2*(deltacbb + deltabcb));
- fTEMP = mfccb + EQccb;
- real deltaccb = mfccb - (fTEMP - EQccb);
- mfccb = fTEMP;
- //mfccb+=EQccb+(delta0+c1o2*(deltacbb+deltabcb));
-
- EQaab += (delta0 + c1o2*(deltaabb + deltabab));
- fTEMP = mfaab + EQaab;
- real deltaaab = mfaab - (fTEMP - EQaab);
- mfaab = fTEMP;
- //mfaab+=EQaab+(delta0+c1o2*(deltaabb+deltabab));
-
- EQcab += (delta0 + c1o2*(deltacbb + deltabab));
- fTEMP = mfcab + EQcab;
- real deltacab = mfcab - (fTEMP - EQcab);
- mfcab = fTEMP;
- //mfcab+=EQcab+(delta0+c1o2*(deltacbb+deltabab));
-
- EQacb += (delta0 + c1o2*(deltaabb + deltabcb));
- fTEMP = mfacb + EQacb;
- real deltaacb = mfacb - (fTEMP - EQacb);
- mfacb = fTEMP;
- //mfacb+=EQacb+(delta0+c1o2*(deltaabb+deltabcb));
-
- EQcbc += (delta0 + c1o2*(deltacbb + deltabbc));
- fTEMP = mfcbc + EQcbc;
- real deltacbc = mfcbc - (fTEMP - EQcbc);
- mfcbc = fTEMP;
- //mfcbc+=EQcbc+(delta0+c1o2*(deltacbb+deltabbc));
-
- EQaba += (delta0 + c1o2*(deltaabb + deltabba));
- fTEMP = mfaba + EQaba;
- real deltaaba = mfaba - (fTEMP - EQaba);
- mfaba = fTEMP;
- //mfaba+=EQaba+(delta0+c1o2*(deltaabb+deltabba));
-
- EQcba += (delta0 + c1o2*(deltacbb + deltabba));
- fTEMP = mfcba + EQcba;
- real deltacba = mfcba - (fTEMP - EQcba);
- mfcba = fTEMP;
- //mfcba+=EQcba+(delta0+c1o2*(deltacbb+deltabba));
-
- EQabc += (delta0 + c1o2*(deltaabb + deltabbc));
- fTEMP = mfabc + EQabc;
- real deltaabc = mfabc - (fTEMP - EQabc);
- mfabc = fTEMP;
- //mfabc+=EQabc+(delta0+c1o2*(deltaabb+deltabbc));
-
- EQbcc += (delta0 + c1o2*(deltabcb + deltabbc));
- fTEMP = mfbcc + EQbcc;
- real deltabcc = mfbcc - (fTEMP - EQbcc);
- mfbcc = fTEMP;
- //mfbcc+=EQbcc+(delta0+c1o2*(deltabcb+deltabbc));
-
- EQbaa += (delta0 + c1o2*(deltabab + deltabba));
- fTEMP = mfbaa + EQbaa;
- real deltabaa = mfbaa - (fTEMP - EQbaa);
- mfbaa = fTEMP;
- //mfbaa+=EQbaa+(delta0+c1o2*(deltabab+deltabba));
-
- EQbca += (delta0 + c1o2*(deltabcb + deltabba));
- fTEMP = mfbca + EQbca;
- real deltabca = mfbca - (fTEMP - EQbca);
- mfbca = fTEMP;
- //mfbca+=EQbca+(delta0+c1o2*(deltabcb+deltabba));
-
- EQbac += (delta0 + c1o2*(deltabab + deltabbc));
- fTEMP = mfbac + EQbac;
- real deltabac = mfbac - (fTEMP - EQbac);
- mfbac = fTEMP;
- //mfbac+=EQbac+(delta0+c1o2*(deltabab+deltabbc));
-
- mfccc += EQccc - (delta0 + c1o4*(deltacbb + deltabcb + deltabbc) - c1o2*(deltabcc + deltacbc + deltaccb));
- mfaac += EQaac - (delta0 + c1o4*(deltaabb + deltabab + deltabbc) - c1o2*(deltabac + deltaabc + deltaaab));
- mfcac += EQcac - (delta0 + c1o4*(deltacbb + deltabab + deltabbc) - c1o2*(deltabac + deltacbc + deltacab));
- mfacc += EQacc - (delta0 + c1o4*(deltaabb + deltabcb + deltabbc) - c1o2*(deltabcc + deltaabc + deltaacb));
- mfcca += EQcca - (delta0 + c1o4*(deltacbb + deltabcb + deltabba) - c1o2*(deltabca + deltacba + deltaccb));
- mfaaa += EQaaa - (delta0 + c1o4*(deltaabb + deltabab + deltabba) - c1o2*(deltabaa + deltaaba + deltaaab));
- mfcaa += EQcaa - (delta0 + c1o4*(deltacbb + deltabab + deltabba) - c1o2*(deltabaa + deltacba + deltacab));
- mfaca += EQaca - (delta0 + c1o4*(deltaabb + deltabcb + deltabba) - c1o2*(deltabca + deltaaba + deltaacb));
-
-
-
- //////////////////////////////////////////////////////////////////////////////////////
- ////back
- //////////////////////////////////////////////////////////////////////////////////////
- ////mit 1, 0, 1/3, 0, 0, 0, 1/3, 0, 1/9 Konditionieren
- //////////////////////////////////////////////////////////////////////////////////////
- //// Z - Dir
- //backwardChimeraWithK(mfaaa, mfaab, mfaac, vvz, vz2, one);
- //////////////////////////////////////////////////////////////////////////////////////
- //backwardChimera(mfaba, mfabb, mfabc, vvz, vz2);
- //////////////////////////////////////////////////////////////////////////////////////
- //backwardChimeraWithK(mfaca, mfacb, mfacc, vvz, vz2, c1o3);
- //////////////////////////////////////////////////////////////////////////////////////
- //////////////////////////////////////////////////////////////////////////////////////
- //backwardChimera(mfbaa, mfbab, mfbac, vvz, vz2);
- ///////////b//////////////////////////////////////////////////////////////////////////
- //backwardChimera(mfbba, mfbbb, mfbbc, vvz, vz2);
- ///////////b//////////////////////////////////////////////////////////////////////////
- //backwardChimera(mfbca, mfbcb, mfbcc, vvz, vz2);
- //////////////////////////////////////////////////////////////////////////////////////
- //////////////////////////////////////////////////////////////////////////////////////
- //backwardChimeraWithK(mfcaa, mfcab, mfcac, vvz, vz2, c1o3);
- ///////////c//////////////////////////////////////////////////////////////////////////
- //backwardChimera(mfcba, mfcbb, mfcbc, vvz, vz2);
- ///////////c//////////////////////////////////////////////////////////////////////////
- //backwardChimeraWithK(mfcca, mfccb, mfccc, vvz, vz2, c1o9);
- //////////////////////////////////////////////////////////////////////////////////////
- //////////////////////////////////////////////////////////////////////////////////////
- ////mit 1/6, 2/3, 1/6, 0, 0, 0, 1/18, 2/9, 1/18 Konditionieren
- //////////////////////////////////////////////////////////////////////////////////////
- //// Y - Dir
- //backwardChimeraWithK(mfaaa, mfaba, mfaca, vvy, vy2, c1o6);
- //////////////////////////////////////////////////////////////////////////////////////
- //backwardChimeraWithK(mfaab, mfabb, mfacb, vvy, vy2, c2o3);
- //////////////////////////////////////////////////////////////////////////////////////
- //backwardChimeraWithK(mfaac, mfabc, mfacc, vvy, vy2, c1o6);
- //////////////////////////////////////////////////////////////////////////////////////
- //////////////////////////////////////////////////////////////////////////////////////
- //backwardChimera(mfbaa, mfbba, mfbca, vvz, vz2);
- ///////////b//////////////////////////////////////////////////////////////////////////
- //backwardChimera(mfbab, mfbbb, mfbcb, vvz, vz2);
- ///////////b//////////////////////////////////////////////////////////////////////////
- //backwardChimera(mfbac, mfbbc, mfbcc, vvz, vz2);
- //////////////////////////////////////////////////////////////////////////////////////
- //////////////////////////////////////////////////////////////////////////////////////
- //backwardChimeraWithK(mfcaa, mfcba, mfcca, vvy, vy2, c1o18);
- ///////////c//////////////////////////////////////////////////////////////////////////
- //backwardChimeraWithK(mfcab, mfcbb, mfccb, vvy, vy2, c2o9);
- ///////////c//////////////////////////////////////////////////////////////////////////
- //backwardChimeraWithK(mfcac, mfcbc, mfccc, vvy, vy2, c1o18);
- //////////////////////////////////////////////////////////////////////////////////////
- //////////////////////////////////////////////////////////////////////////////////////
- ////mit 1/36, 1/9, 1/36, 1/9, 4/9, 1/9, 1/36, 1/9, 1/36 Konditionieren
- //////////////////////////////////////////////////////////////////////////////////////
- //// X - Dir
- //backwardChimeraWithK(mfaaa, mfbaa, mfcaa, vvx, vx2, c1o36);
- //////////////////////////////////////////////////////////////////////////////////////
- //backwardChimeraWithK(mfaba, mfbba, mfcba, vvx, vx2, c1o9);
- //////////////////////////////////////////////////////////////////////////////////////
- //backwardChimeraWithK(mfaca, mfbca, mfcca, vvx, vx2, c1o36);
- //////////////////////////////////////////////////////////////////////////////////////
- //////////////////////////////////////////////////////////////////////////////////////
- //backwardChimeraWithK(mfaab, mfbab, mfcab, vvx, vx2, c1o9);
- /////////////b////////////////////////////////////////////////////////////////////////
- //backwardChimeraWithK(mfabb, mfbbb, mfcbb, vvx, vx2, c4o9);
- /////////////b////////////////////////////////////////////////////////////////////////
- //backwardChimeraWithK(mfacb, mfbcb, mfccb, vvx, vx2, c1o9);
- //////////////////////////////////////////////////////////////////////////////////////
- //////////////////////////////////////////////////////////////////////////////////////
- //backwardChimeraWithK(mfaac, mfbac, mfcac, vvx, vx2, c1o36);
- /////////////c////////////////////////////////////////////////////////////////////////
- //backwardChimeraWithK(mfabc, mfbbc, mfcbc, vvx, vx2, c1o9);
- /////////////c////////////////////////////////////////////////////////////////////////
- //backwardChimeraWithK(mfacc, mfbcc, mfccc, vvx, vx2, c1o36);
- //////////////////////////////////////////////////////////////////////////////////////
-
- ////////////////////////////////////////////////////////////////////////////////////////
- //real drhoPost =
- // ((((mfccc + mfaaa) + (mfaca + mfcac)) + ((mfacc + mfcaa) + (mfaac + mfcca))) +
- // (((mfbac + mfbca) + (mfbaa + mfbcc)) + ((mfabc + mfcba) + (mfaba + mfcbc)) + ((mfacb + mfcab) + (mfaab + mfccb))) +
- // ((mfabb + mfcbb) + (mfbab + mfbcb) + (mfbba + mfbbc))) + mfbbb;
- //mfbbb += drho - drhoPost;
- ////////////////////////////////////////////////////////////////////////////////////
- (D.f[dirE])[k] = mfabb;//(D.f[ dirE ])[ke ] = mfabb;// - c2over27 ; (D.f[ dirE ])[k ]
- (D.f[dirW])[kw] = mfcbb;//(D.f[ dirW ])[kw ] = mfcbb;// - c2over27 ; (D.f[ dirW ])[kw ]
- (D.f[dirN])[k] = mfbab;//(D.f[ dirN ])[kn ] = mfbab;// - c2over27 ; (D.f[ dirN ])[k ]
- (D.f[dirS])[ks] = mfbcb;//(D.f[ dirS ])[ks ] = mfbcb;// - c2over27 ; (D.f[ dirS ])[ks ]
- (D.f[dirT])[k] = mfbba;//(D.f[ dirT ])[kt ] = mfbba;// - c2over27 ; (D.f[ dirT ])[k ]
- (D.f[dirB])[kb] = mfbbc;//(D.f[ dirB ])[kb ] = mfbbc;// - c2over27 ; (D.f[ dirB ])[kb ]
- (D.f[dirNE])[k] = mfaab;//(D.f[ dirNE ])[kne ] = mfaab;// - c1over54 ; (D.f[ dirNE ])[k ]
- (D.f[dirSW])[ksw] = mfccb;//(D.f[ dirSW ])[ksw ] = mfccb;// - c1over54 ; (D.f[ dirSW ])[ksw ]
- (D.f[dirSE])[ks] = mfacb;//(D.f[ dirSE ])[kse ] = mfacb;// - c1over54 ; (D.f[ dirSE ])[ks ]
- (D.f[dirNW])[kw] = mfcab;//(D.f[ dirNW ])[knw ] = mfcab;// - c1over54 ; (D.f[ dirNW ])[kw ]
- (D.f[dirTE])[k] = mfaba;//(D.f[ dirTE ])[kte ] = mfaba;// - c1over54 ; (D.f[ dirTE ])[k ]
- (D.f[dirBW])[kbw] = mfcbc;//(D.f[ dirBW ])[kbw ] = mfcbc;// - c1over54 ; (D.f[ dirBW ])[kbw ]
- (D.f[dirBE])[kb] = mfabc;//(D.f[ dirBE ])[kbe ] = mfabc;// - c1over54 ; (D.f[ dirBE ])[kb ]
- (D.f[dirTW])[kw] = mfcba;//(D.f[ dirTW ])[ktw ] = mfcba;// - c1over54 ; (D.f[ dirTW ])[kw ]
- (D.f[dirTN])[k] = mfbaa;//(D.f[ dirTN ])[ktn ] = mfbaa;// - c1over54 ; (D.f[ dirTN ])[k ]
- (D.f[dirBS])[kbs] = mfbcc;//(D.f[ dirBS ])[kbs ] = mfbcc;// - c1over54 ; (D.f[ dirBS ])[kbs ]
- (D.f[dirBN])[kb] = mfbac;//(D.f[ dirBN ])[kbn ] = mfbac;// - c1over54 ; (D.f[ dirBN ])[kb ]
- (D.f[dirTS])[ks] = mfbca;//(D.f[ dirTS ])[kts ] = mfbca;// - c1over54 ; (D.f[ dirTS ])[ks ]
- (D.f[dirZERO])[k] = mfbbb;//(D.f[ dirZERO])[kzero] = mfbbb;// - c8over27 ; (D.f[ dirZERO])[k ]
- (D.f[dirTNE])[k] = mfaaa;//(D.f[ dirTNE ])[ktne ] = mfaaa;// - c1over216; (D.f[ dirTNE ])[k ]
- (D.f[dirTSE])[ks] = mfaca;//(D.f[ dirTSE ])[ktse ] = mfaca;// - c1over216; (D.f[ dirTSE ])[ks ]
- (D.f[dirBNE])[kb] = mfaac;//(D.f[ dirBNE ])[kbne ] = mfaac;// - c1over216; (D.f[ dirBNE ])[kb ]
- (D.f[dirBSE])[kbs] = mfacc;//(D.f[ dirBSE ])[kbse ] = mfacc;// - c1over216; (D.f[ dirBSE ])[kbs ]
- (D.f[dirTNW])[kw] = mfcaa;//(D.f[ dirTNW ])[ktnw ] = mfcaa;// - c1over216; (D.f[ dirTNW ])[kw ]
- (D.f[dirTSW])[ksw] = mfcca;//(D.f[ dirTSW ])[ktsw ] = mfcca;// - c1over216; (D.f[ dirTSW ])[ksw ]
- (D.f[dirBNW])[kbw] = mfcac;//(D.f[ dirBNW ])[kbnw ] = mfcac;// - c1over216; (D.f[ dirBNW ])[kbw ]
- (D.f[dirBSW])[kbsw] = mfccc;//(D.f[ dirBSW ])[kbsw ] = mfccc;// - c1over216; (D.f[ dirBSW ])[kbsw]
- ////////////////////////////////////////////////////////////////////////////////////
- }
- }
+ ////////////////////////////////////////////////////////////////////////////////
+ const unsigned x = threadIdx.x; // Globaler x-Index
+ const unsigned y = blockIdx.x; // Globaler y-Index
+ const unsigned z = blockIdx.y; // Globaler z-Index
+
+ const unsigned nx = blockDim.x;
+ const unsigned ny = gridDim.x;
+
+ const unsigned k = nx*(ny*z + y) + x;
+ //////////////////////////////////////////////////////////////////////////
+
+ if (k<size_Mat)
+ {
+ ////////////////////////////////////////////////////////////////////////////////
+ unsigned int BC;
+ BC = bcMatD[k];
+
+ if (BC >= GEO_FLUID/*(BC != GEO_SOLID) && (BC != GEO_VOID)*/)
+ {
+ Distributions27 D;
+ if (EvenOrOdd == true)
+ {
+ D.f[dirE] = &DDStart[dirE *size_Mat];
+ D.f[dirW] = &DDStart[dirW *size_Mat];
+ D.f[dirN] = &DDStart[dirN *size_Mat];
+ D.f[dirS] = &DDStart[dirS *size_Mat];
+ D.f[dirT] = &DDStart[dirT *size_Mat];
+ D.f[dirB] = &DDStart[dirB *size_Mat];
+ D.f[dirNE] = &DDStart[dirNE *size_Mat];
+ D.f[dirSW] = &DDStart[dirSW *size_Mat];
+ D.f[dirSE] = &DDStart[dirSE *size_Mat];
+ D.f[dirNW] = &DDStart[dirNW *size_Mat];
+ D.f[dirTE] = &DDStart[dirTE *size_Mat];
+ D.f[dirBW] = &DDStart[dirBW *size_Mat];
+ D.f[dirBE] = &DDStart[dirBE *size_Mat];
+ D.f[dirTW] = &DDStart[dirTW *size_Mat];
+ D.f[dirTN] = &DDStart[dirTN *size_Mat];
+ D.f[dirBS] = &DDStart[dirBS *size_Mat];
+ D.f[dirBN] = &DDStart[dirBN *size_Mat];
+ D.f[dirTS] = &DDStart[dirTS *size_Mat];
+ D.f[dirZERO] = &DDStart[dirZERO*size_Mat];
+ D.f[dirTNE] = &DDStart[dirTNE *size_Mat];
+ D.f[dirTSW] = &DDStart[dirTSW *size_Mat];
+ D.f[dirTSE] = &DDStart[dirTSE *size_Mat];
+ D.f[dirTNW] = &DDStart[dirTNW *size_Mat];
+ D.f[dirBNE] = &DDStart[dirBNE *size_Mat];
+ D.f[dirBSW] = &DDStart[dirBSW *size_Mat];
+ D.f[dirBSE] = &DDStart[dirBSE *size_Mat];
+ D.f[dirBNW] = &DDStart[dirBNW *size_Mat];
+ }
+ else
+ {
+ D.f[dirW] = &DDStart[dirE *size_Mat];
+ D.f[dirE] = &DDStart[dirW *size_Mat];
+ D.f[dirS] = &DDStart[dirN *size_Mat];
+ D.f[dirN] = &DDStart[dirS *size_Mat];
+ D.f[dirB] = &DDStart[dirT *size_Mat];
+ D.f[dirT] = &DDStart[dirB *size_Mat];
+ D.f[dirSW] = &DDStart[dirNE *size_Mat];
+ D.f[dirNE] = &DDStart[dirSW *size_Mat];
+ D.f[dirNW] = &DDStart[dirSE *size_Mat];
+ D.f[dirSE] = &DDStart[dirNW *size_Mat];
+ D.f[dirBW] = &DDStart[dirTE *size_Mat];
+ D.f[dirTE] = &DDStart[dirBW *size_Mat];
+ D.f[dirTW] = &DDStart[dirBE *size_Mat];
+ D.f[dirBE] = &DDStart[dirTW *size_Mat];
+ D.f[dirBS] = &DDStart[dirTN *size_Mat];
+ D.f[dirTN] = &DDStart[dirBS *size_Mat];
+ D.f[dirTS] = &DDStart[dirBN *size_Mat];
+ D.f[dirBN] = &DDStart[dirTS *size_Mat];
+ D.f[dirZERO] = &DDStart[dirZERO*size_Mat];
+ D.f[dirBSW] = &DDStart[dirTNE *size_Mat];
+ D.f[dirBNE] = &DDStart[dirTSW *size_Mat];
+ D.f[dirBNW] = &DDStart[dirTSE *size_Mat];
+ D.f[dirBSE] = &DDStart[dirTNW *size_Mat];
+ D.f[dirTSW] = &DDStart[dirBNE *size_Mat];
+ D.f[dirTNE] = &DDStart[dirBSW *size_Mat];
+ D.f[dirTNW] = &DDStart[dirBSE *size_Mat];
+ D.f[dirTSE] = &DDStart[dirBNW *size_Mat];
+ }
+
+ ////////////////////////////////////////////////////////////////////////////////
+ //index
+ //unsigned int kzero= k;
+ //unsigned int ke = k;
+ unsigned int kw = neighborX[k];
+ //unsigned int kn = k;
+ unsigned int ks = neighborY[k];
+ //unsigned int kt = k;
+ unsigned int kb = neighborZ[k];
+ unsigned int ksw = neighborY[kw];
+ //unsigned int kne = k;
+ //unsigned int kse = ks;
+ //unsigned int knw = kw;
+ unsigned int kbw = neighborZ[kw];
+ //unsigned int kte = k;
+ //unsigned int kbe = kb;
+ //unsigned int ktw = kw;
+ unsigned int kbs = neighborZ[ks];
+ //unsigned int ktn = k;
+ //unsigned int kbn = kb;
+ //unsigned int kts = ks;
+ //unsigned int ktse = ks;
+ //unsigned int kbnw = kbw;
+ //unsigned int ktnw = kw;
+ //unsigned int kbse = kbs;
+ //unsigned int ktsw = ksw;
+ //unsigned int kbne = kb;
+ //unsigned int ktne = k;
+ unsigned int kbsw = neighborZ[ksw];
+
+
+
+ //////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
+ real mfcbb = (D.f[dirE])[k];//[ke ];// + c2over27 ;(D.f[dirE ])[k ];//ke
+ real mfabb = (D.f[dirW])[kw];//[kw ];// + c2over27 ;(D.f[dirW ])[kw ];
+ real mfbcb = (D.f[dirN])[k];//[kn ];// + c2over27 ;(D.f[dirN ])[k ];//kn
+ real mfbab = (D.f[dirS])[ks];//[ks ];// + c2over27 ;(D.f[dirS ])[ks ];
+ real mfbbc = (D.f[dirT])[k];//[kt ];// + c2over27 ;(D.f[dirT ])[k ];//kt
+ real mfbba = (D.f[dirB])[kb];//[kb ];// + c2over27 ;(D.f[dirB ])[kb ];
+ real mfccb = (D.f[dirNE])[k];//[kne ];// + c1over54 ;(D.f[dirNE ])[k ];//kne
+ real mfaab = (D.f[dirSW])[ksw];//[ksw ];// + c1over54 ;(D.f[dirSW ])[ksw];
+ real mfcab = (D.f[dirSE])[ks];//[kse ];// + c1over54 ;(D.f[dirSE ])[ks ];//kse
+ real mfacb = (D.f[dirNW])[kw];//[knw ];// + c1over54 ;(D.f[dirNW ])[kw ];//knw
+ real mfcbc = (D.f[dirTE])[k];//[kte ];// + c1over54 ;(D.f[dirTE ])[k ];//kte
+ real mfaba = (D.f[dirBW])[kbw];//[kbw ];// + c1over54 ;(D.f[dirBW ])[kbw];
+ real mfcba = (D.f[dirBE])[kb];//[kbe ];// + c1over54 ;(D.f[dirBE ])[kb ];//kbe
+ real mfabc = (D.f[dirTW])[kw];//[ktw ];// + c1over54 ;(D.f[dirTW ])[kw ];//ktw
+ real mfbcc = (D.f[dirTN])[k];//[ktn ];// + c1over54 ;(D.f[dirTN ])[k ];//ktn
+ real mfbaa = (D.f[dirBS])[kbs];//[kbs ];// + c1over54 ;(D.f[dirBS ])[kbs];
+ real mfbca = (D.f[dirBN])[kb];//[kbn ];// + c1over54 ;(D.f[dirBN ])[kb ];//kbn
+ real mfbac = (D.f[dirTS])[ks];//[kts ];// + c1over54 ;(D.f[dirTS ])[ks ];//kts
+ real mfbbb = (D.f[dirZERO])[k];//[kzero];// + c8over27 ;(D.f[dirZERO])[k ];//kzero
+ real mfccc = (D.f[dirTNE])[k];//[ktne ];// + c1over216;(D.f[dirTNE ])[k ];//ktne
+ real mfaac = (D.f[dirTSW])[ksw];//[ktsw ];// + c1over216;(D.f[dirTSW ])[ksw];//ktsw
+ real mfcac = (D.f[dirTSE])[ks];//[ktse ];// + c1over216;(D.f[dirTSE ])[ks ];//ktse
+ real mfacc = (D.f[dirTNW])[kw];//[ktnw ];// + c1over216;(D.f[dirTNW ])[kw ];//ktnw
+ real mfcca = (D.f[dirBNE])[kb];//[kbne ];// + c1over216;(D.f[dirBNE ])[kb ];//kbne
+ real mfaaa = (D.f[dirBSW])[kbsw];//[kbsw ];// + c1over216;(D.f[dirBSW ])[kbsw];
+ real mfcaa = (D.f[dirBSE])[kbs];//[kbse ];// + c1over216;(D.f[dirBSE ])[kbs];//kbse
+ real mfaca = (D.f[dirBNW])[kbw];//[kbnw ];// + c1over216;(D.f[dirBNW ])[kbw];//kbnw
+ ////////////////////////////////////////////////////////////////////////////////////
+ real drho = ((((mfccc + mfaaa) + (mfaca + mfcac)) + ((mfacc + mfcaa) + (mfaac + mfcca))) +
+ (((mfbac + mfbca) + (mfbaa + mfbcc)) + ((mfabc + mfcba) + (mfaba + mfcbc)) + ((mfacb + mfcab) + (mfaab + mfccb))) +
+ ((mfabb + mfcbb) + (mfbab + mfbcb) + (mfbba + mfbbc))) + mfbbb;
+
+ real rho = c1o1 + drho;
+ ////////////////////////////////////////////////////////////////////////////////////
+ real vvx = ((((mfccc - mfaaa) + (mfcac - mfaca)) + ((mfcaa - mfacc) + (mfcca - mfaac))) +
+ (((mfcba - mfabc) + (mfcbc - mfaba)) + ((mfcab - mfacb) + (mfccb - mfaab))) +
+ (mfcbb - mfabb)) / rho;
+ real vvy = ((((mfccc - mfaaa) + (mfaca - mfcac)) + ((mfacc - mfcaa) + (mfcca - mfaac))) +
+ (((mfbca - mfbac) + (mfbcc - mfbaa)) + ((mfacb - mfcab) + (mfccb - mfaab))) +
+ (mfbcb - mfbab)) / rho;
+ real vvz = ((((mfccc - mfaaa) + (mfcac - mfaca)) + ((mfacc - mfcaa) + (mfaac - mfcca))) +
+ (((mfbac - mfbca) + (mfbcc - mfbaa)) + ((mfabc - mfcba) + (mfcbc - mfaba))) +
+ (mfbbc - mfbba)) / rho;
+ ////////////////////////////////////////////////////////////////////////////////////
+ //the force be with you
+ real fx = forces[0] / (pow((double)c2o1, (double)level)); //zero;//0.0032653/(pow(two,level)); //0.000000005;//(two/1600000.0) / 120.0; //
+ real fy = forces[1] / (pow((double)c2o1, (double)level)); //zero;
+ real fz = forces[2] / (pow((double)c2o1, (double)level)); //zero;
+ vvx += fx*c1o2;
+ vvy += fy*c1o2;
+ vvz += fz*c1o2;
+ ////////////////////////////////////////////////////////////////////////////////////
+ //real omega = omega_in;
+ ////////////////////////////////////////////////////////////////////////////////////
+ //fast
+ //real oMdrho = c1o1; // comp special
+ //real m0, m1, m2;
+ real vx2;
+ real vy2;
+ real vz2;
+ vx2 = vvx*vvx;
+ vy2 = vvy*vvy;
+ vz2 = vvz*vvz;
+ ////////////////////////////////////////////////////////////////////////////////////
+ //real wadjust;
+ //real qudricLimitP = c1o100;// * 0.0001f;
+ //real qudricLimitM = c1o100;// * 0.0001f;
+ //real qudricLimitD = c1o100;// * 0.001f;
+ //real s9 = minusomega;
+ //test
+ //s9 = 0.;
+
+
+ //////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
+ real EQcbb = c0o1;
+ real EQabb = c0o1;
+ real EQbcb = c0o1;
+ real EQbab = c0o1;
+ real EQbbc = c0o1;
+ real EQbba = c0o1;
+ real EQccb = c0o1;
+ real EQaab = c0o1;
+ real EQcab = c0o1;
+ real EQacb = c0o1;
+ real EQcbc = c0o1;
+ real EQaba = c0o1;
+ real EQcba = c0o1;
+ real EQabc = c0o1;
+ real EQbcc = c0o1;
+ real EQbaa = c0o1;
+ real EQbca = c0o1;
+ real EQbac = c0o1;
+ real EQbbb = c0o1;
+ real EQccc = drho * c1o27;
+ real EQaac = drho * c1o3;
+ real EQcac = drho * c1o9;
+ real EQacc = drho * c1o9;
+ real EQcca = drho * c1o9;
+ real EQaaa = drho;
+ real EQcaa = drho * c1o3;
+ real EQaca = drho * c1o3;
+ ////////////////////////////////////////////////////////////////////////////////////
+ VF::LBM::backwardChimeraWithK(EQaaa, EQaab, EQaac, vvz, vz2, c1o1);
+ VF::LBM::backwardChimeraWithK(EQaca, EQacb, EQacc, vvz, vz2, c1o3);
+ ///////////////////////////////////////////////////////////
+ EQcaa = EQaca; EQcab = EQacb; EQcac = EQacc;
+ ///////////////////////////////////////////////////////////
+ VF::LBM::backwardChimeraWithK(EQcca, EQccb, EQccc, vvz, vz2, c1o9);
+
+ VF::LBM::backwardChimeraWithK(EQaaa, EQaba, EQaca, vvy, vy2, c1o6);
+ VF::LBM::backwardChimeraWithK(EQaab, EQabb, EQacb, vvy, vy2, c2o3);
+ VF::LBM::backwardChimeraWithK(EQaac, EQabc, EQacc, vvy, vy2, c1o6);
+ VF::LBM::backwardChimeraWithK(EQcaa, EQcba, EQcca, vvy, vy2, c1o18);
+ VF::LBM::backwardChimeraWithK(EQcab, EQcbb, EQccb, vvy, vy2, c2o9);
+ VF::LBM::backwardChimeraWithK(EQcac, EQcbc, EQccc, vvy, vy2, c1o18);
+
+ VF::LBM::backwardChimeraWithK(EQaaa, EQbaa, EQcaa, vvx, vx2, c1o36);
+ VF::LBM::backwardChimeraWithK(EQaab, EQbab, EQcab, vvx, vx2, c1o9);
+ VF::LBM::backwardChimeraWithK(EQaac, EQbac, EQcac, vvx, vx2, c1o36);
+ VF::LBM::backwardChimeraWithK(EQaba, EQbba, EQcba, vvx, vx2, c1o9);
+ VF::LBM::backwardChimeraWithK(EQabb, EQbbb, EQcbb, vvx, vx2, c4o9);
+ VF::LBM::backwardChimeraWithK(EQabc, EQbbc, EQcbc, vvx, vx2, c1o9);
+ VF::LBM::backwardChimeraWithK(EQaca, EQbca, EQcca, vvx, vx2, c1o36);
+ VF::LBM::backwardChimeraWithK(EQacb, EQbcb, EQccb, vvx, vx2, c1o9);
+ VF::LBM::backwardChimeraWithK(EQacc, EQbcc, EQccc, vvx, vx2, c1o36);
+
+ ////////////////////////////////////////////////////////////////////////////////////
+ //Pre-condition
+ mfcbb -= EQcbb;
+ mfabb -= EQabb;
+ mfbcb -= EQbcb;
+ mfbab -= EQbab;
+ mfbbc -= EQbbc;
+ mfbba -= EQbba;
+ mfccb -= EQccb;
+ mfaab -= EQaab;
+ mfcab -= EQcab;
+ mfacb -= EQacb;
+ mfcbc -= EQcbc;
+ mfaba -= EQaba;
+ mfcba -= EQcba;
+ mfabc -= EQabc;
+ mfbcc -= EQbcc;
+ mfbaa -= EQbaa;
+ mfbca -= EQbca;
+ mfbac -= EQbac;
+ mfbbb -= EQbbb;
+ mfccc -= EQccc;
+ mfaac -= EQaac;
+ mfcac -= EQcac;
+ mfacc -= EQacc;
+ mfcca -= EQcca;
+ mfaaa -= EQaaa;
+ mfcaa -= EQcaa;
+ mfaca -= EQaca;
+
+ ////////////////////////////////////////////////////////////////////////////////////
+ //Hin
+ ////////////////////////////////////////////////////////////////////////////////////
+ VF::LBM::forwardChimera(mfaaa, mfaab, mfaac, vvz, vz2);
+ VF::LBM::forwardChimera(mfaba, mfabb, mfabc, vvz, vz2);
+ VF::LBM::forwardChimera(mfaca, mfacb, mfacc, vvz, vz2);
+ VF::LBM::forwardChimera(mfbaa, mfbab, mfbac, vvz, vz2);
+ VF::LBM::forwardChimera(mfbba, mfbbb, mfbbc, vvz, vz2);
+ VF::LBM::forwardChimera(mfbca, mfbcb, mfbcc, vvz, vz2);
+ VF::LBM::forwardChimera(mfcaa, mfcab, mfcac, vvz, vz2);
+ VF::LBM::forwardChimera(mfcba, mfcbb, mfcbc, vvz, vz2);
+ VF::LBM::forwardChimera(mfcca, mfccb, mfccc, vvz, vz2);
+
+ VF::LBM::forwardChimera(mfaaa, mfaba, mfaca, vvy, vy2);
+ VF::LBM::forwardChimera(mfaab, mfabb, mfacb, vvy, vy2);
+ VF::LBM::forwardChimera(mfaac, mfabc, mfacc, vvy, vy2);
+ VF::LBM::forwardChimera(mfbaa, mfbba, mfbca, vvy, vy2);
+ VF::LBM::forwardChimera(mfbab, mfbbb, mfbcb, vvy, vy2);
+ VF::LBM::forwardChimera(mfbac, mfbbc, mfbcc, vvy, vy2);
+ VF::LBM::forwardChimera(mfcaa, mfcba, mfcca, vvy, vy2);
+ VF::LBM::forwardChimera(mfcab, mfcbb, mfccb, vvy, vy2);
+ VF::LBM::forwardChimera(mfcac, mfcbc, mfccc, vvy, vy2);
+
+ VF::LBM::forwardChimera(mfaaa, mfbaa, mfcaa, vvx, vx2);
+ VF::LBM::forwardChimera(mfaab, mfbab, mfcab, vvx, vx2);
+ VF::LBM::forwardChimera(mfaac, mfbac, mfcac, vvx, vx2);
+ VF::LBM::forwardChimera(mfaba, mfbba, mfcba, vvx, vx2);
+ VF::LBM::forwardChimera(mfabb, mfbbb, mfcbb, vvx, vx2);
+ VF::LBM::forwardChimera(mfabc, mfbbc, mfcbc, vvx, vx2);
+ VF::LBM::forwardChimera(mfaca, mfbca, mfcca, vvx, vx2);
+ VF::LBM::forwardChimera(mfacb, mfbcb, mfccb, vvx, vx2);
+ VF::LBM::forwardChimera(mfacc, mfbcc, mfccc, vvx, vx2);
+
+ //////////////////////////////////////////////////////////////////////////////////////
+ ////Hin
+ //////////////////////////////////////////////////////////////////////////////////////
+ //// mit 1/36, 1/9, 1/36, 1/9, 4/9, 1/9, 1/36, 1/9, 1/36 Konditionieren
+ //////////////////////////////////////////////////////////////////////////////////////
+ //// Z - Dir
+ //forwardChimeraWithK(mfaaa, mfaab, mfaac, vvz, vz2, c1o36);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //forwardChimeraWithK(mfaba, mfabb, mfabc, vvz, vz2, c1o9);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //forwardChimeraWithK(mfaca, mfacb, mfacc, vvz, vz2, c1o36);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //////////////////////////////////////////////////////////////////////////////////////
+ //forwardChimeraWithK(mfbaa, mfbab, mfbac, vvz, vz2, c1o9);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //forwardChimeraWithK(mfbba, mfbbb, mfbbc, vvz, vz2, c4o9);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //forwardChimeraWithK(mfbca, mfbcb, mfbcc, vvz, vz2, c1o9);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //////////////////////////////////////////////////////////////////////////////////////
+ //forwardChimeraWithK(mfcaa, mfcab, mfcac, vvz, vz2, c1o36);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //forwardChimeraWithK(mfcba, mfcbb, mfcbc, vvz, vz2, c1o9);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //forwardChimeraWithK(mfcca, mfccb, mfccc, vvz, vz2, c1o36);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //////////////////////////////////////////////////////////////////////////////////////
+ //// mit 1/6, 0, 1/18, 2/3, 0, 2/9, 1/6, 0, 1/18 Konditionieren
+ //////////////////////////////////////////////////////////////////////////////////////
+ //// Y - Dir
+ //forwardChimeraWithK(mfaaa, mfaba, mfaca, vvy, vy2, c1o6);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //forwardChimera(mfaab, mfabb, mfacb, vvy, vy2);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //forwardChimeraWithK(mfaac, mfabc, mfacc, vvy, vy2, c1o18);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //////////////////////////////////////////////////////////////////////////////////////
+ //forwardChimeraWithK(mfbaa, mfbba, mfbca, vvy, vy2, c2o3);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //forwardChimera(mfbab, mfbbb, mfbcb, vvy, vy2);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //forwardChimeraWithK(mfbac, mfbbc, mfbcc, vvy, vy2, c2o9);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //////////////////////////////////////////////////////////////////////////////////////
+ //forwardChimeraWithK(mfcaa, mfcba, mfcca, vvy, vy2, c1o6);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //forwardChimera(mfcab, mfcbb, mfccb, vvy, vy2);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //forwardChimeraWithK(mfcac, mfcbc, mfccc, vvy, vy2, c1o18);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //////////////////////////////////////////////////////////////////////////////////////
+ //// mit 1, 0, 1/3, 0, 0, 0, 1/3, 0, 1/9 Konditionieren
+ //////////////////////////////////////////////////////////////////////////////////////
+ //// X - Dir
+ //forwardChimeraWithK(mfaaa, mfbaa, mfcaa, vvx, vx2, one);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //forwardChimera(mfaba, mfbba, mfcba, vvx, vx2);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //forwardChimeraWithK(mfaca, mfbca, mfcca, vvx, vx2, c1o3);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //////////////////////////////////////////////////////////////////////////////////////
+ //forwardChimera(mfaab, mfbab, mfcab, vvx, vx2);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //forwardChimera(mfabb, mfbbb, mfcbb, vvx, vx2);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //forwardChimera(mfacb, mfbcb, mfccb, vvx, vx2);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //////////////////////////////////////////////////////////////////////////////////////
+ //forwardChimeraWithK(mfaac, mfbac, mfcac, vvx, vx2, c1o3);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //forwardChimera(mfabc, mfbbc, mfcbc, vvx, vx2);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //forwardChimeraWithK(mfacc, mfbcc, mfccc, vvx, vx2, c1o9);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //////////////////////////////////////////////////////////////////////////////////////
+
+
+ ////////////////////////////////////////////////////////////////////////////////////
+ // Cumulants
+ ////////////////////////////////////////////////////////////////////////////////////
+ real OxxPyyPzz = c1o1; //omega; // one; //set the bulk viscosity one is high / two is very low and zero is (too) high
+
+ ////////////////////////////////////////////////////////////
+ //3.
+ //////////////////////////////
+ real OxyyPxzz = c1o1;
+ real OxyyMxzz = c1o1;
+ //real Oxyz = c1o1;
+ ////////////////////////////////////////////////////////////
+ //4.
+ //////////////////////////////
+ real O4 = c1o1;
+ ////////////////////////////////////////////////////////////
+ //5.
+ //////////////////////////////
+ real O5 = c1o1;
+ ////////////////////////////////////////////////////////////
+ //6.
+ //////////////////////////////
+ real O6 = c1o1;
+ ////////////////////////////////////////////////////////////
+
+
+ //central moments to cumulants
+ //4.
+ real CUMcbb = mfcbb - ((mfcaa + c1o3) * mfabb + c2o1 * mfbba * mfbab) / rho;
+ real CUMbcb = mfbcb - ((mfaca + c1o3) * mfbab + c2o1 * mfbba * mfabb) / rho;
+ real CUMbbc = mfbbc - ((mfaac + c1o3) * mfbba + c2o1 * mfbab * mfabb) / rho;
+
+ real CUMcca = mfcca - (((mfcaa * mfaca + c2o1 * mfbba * mfbba) + c1o3 * (mfcaa + mfaca)) / rho - c1o9*(drho / rho));
+ real CUMcac = mfcac - (((mfcaa * mfaac + c2o1 * mfbab * mfbab) + c1o3 * (mfcaa + mfaac)) / rho - c1o9*(drho / rho));
+ real CUMacc = mfacc - (((mfaac * mfaca + c2o1 * mfabb * mfabb) + c1o3 * (mfaac + mfaca)) / rho - c1o9*(drho / rho));
+
+ //5.
+ real CUMbcc = mfbcc - ((mfaac * mfbca + mfaca * mfbac + c4o1 * mfabb * mfbbb + c2o1 * (mfbab * mfacb + mfbba * mfabc)) + c1o3 * (mfbca + mfbac)) / rho;
+ real CUMcbc = mfcbc - ((mfaac * mfcba + mfcaa * mfabc + c4o1 * mfbab * mfbbb + c2o1 * (mfabb * mfcab + mfbba * mfbac)) + c1o3 * (mfcba + mfabc)) / rho;
+ real CUMccb = mfccb - ((mfcaa * mfacb + mfaca * mfcab + c4o1 * mfbba * mfbbb + c2o1 * (mfbab * mfbca + mfabb * mfcba)) + c1o3 * (mfacb + mfcab)) / rho;
+
+ //6.
+
+ real CUMccc = mfccc + ((-c4o1 * mfbbb * mfbbb
+ - (mfcaa * mfacc + mfaca * mfcac + mfaac * mfcca)
+ - c4o1 * (mfabb * mfcbb + mfbab * mfbcb + mfbba * mfbbc)
+ - c2o1 * (mfbca * mfbac + mfcba * mfabc + mfcab * mfacb)) / rho
+ + (c4o1 * (mfbab * mfbab * mfaca + mfabb * mfabb * mfcaa + mfbba * mfbba * mfaac)
+ + c2o1 * (mfcaa * mfaca * mfaac)
+ + c16o1 * mfbba * mfbab * mfabb) / (rho * rho)
+ - c1o3 * (mfacc + mfcac + mfcca) / rho
+ - c1o9 * (mfcaa + mfaca + mfaac) / rho
+ + (c2o1 * (mfbab * mfbab + mfabb * mfabb + mfbba * mfbba)
+ + (mfaac * mfaca + mfaac * mfcaa + mfaca * mfcaa) + c1o3 *(mfaac + mfaca + mfcaa)) / (rho * rho) * c2o3
+ + c1o27*((drho * drho - drho) / (rho*rho)));
+
+
+
+
+ //2.
+ // linear combinations
+ real mxxPyyPzz = mfcaa + mfaca + mfaac;
+ real mxxMyy = mfcaa - mfaca;
+ real mxxMzz = mfcaa - mfaac;
+
+ /////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
+ //incl. correction (hat noch nicht so gut funktioniert...Optimierungsbedarf??)
+ {
+ real dxux = c1o2 * (-omega) *(mxxMyy + mxxMzz) + c1o2 * OxxPyyPzz * (mfaaa - mxxPyyPzz);
+ real dyuy = dxux + omega * c3o2 * mxxMyy;
+ real dzuz = dxux + omega * c3o2 * mxxMzz;
+
+ //relax
+ mxxPyyPzz += OxxPyyPzz*(mfaaa - mxxPyyPzz) - c3o1 * (c1o1 - c1o2 * OxxPyyPzz) * (vx2 * dxux + vy2 * dyuy + vz2 * dzuz);//-magicBulk*OxxPyyPzz;
+ mxxMyy += omega * (-mxxMyy) - c3o1 * (c1o1 + c1o2 * (-omega)) * (vx2 * dxux - vy2 * dyuy);
+ mxxMzz += omega * (-mxxMzz) - c3o1 * (c1o1 + c1o2 * (-omega)) * (vx2 * dxux - vz2 * dzuz);
+
+ }
+ /////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
+
+ /////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
+ ////no correction
+ //mxxPyyPzz += OxxPyyPzz*(mfaaa - mxxPyyPzz);//-magicBulk*OxxPyyPzz;
+ //mxxMyy += -(-omega) * (-mxxMyy);
+ //mxxMzz += -(-omega) * (-mxxMzz);
+ /////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
+ mfabb += omega * (-mfabb);
+ mfbab += omega * (-mfbab);
+ mfbba += omega * (-mfbba);
+
+ //////////////////////////////////////////////////////////////////////////
+
+ // linear combinations back
+ mfcaa = c1o3 * (mxxMyy + mxxMzz + mxxPyyPzz);
+ mfaca = c1o3 * (-c2o1* mxxMyy + mxxMzz + mxxPyyPzz);
+ mfaac = c1o3 * (mxxMyy - c2o1* mxxMzz + mxxPyyPzz);
+
+ //3.
+ // linear combinations
+
+ real mxxyPyzz = mfcba + mfabc;
+ real mxxyMyzz = mfcba - mfabc;
+
+ real mxxzPyyz = mfcab + mfacb;
+ real mxxzMyyz = mfcab - mfacb;
+
+ real mxyyPxzz = mfbca + mfbac;
+ real mxyyMxzz = mfbca - mfbac;
+
+ //relax
+ //////////////////////////////////////////////////////////////////////////
+ mfbbb += OxyyMxzz * (-mfbbb);
+ mxxyPyzz += OxyyPxzz * (-mxxyPyzz);
+ mxxyMyzz += OxyyMxzz * (-mxxyMyzz);
+ mxxzPyyz += OxyyPxzz * (-mxxzPyyz);
+ mxxzMyyz += OxyyMxzz * (-mxxzMyyz);
+ mxyyPxzz += OxyyPxzz * (-mxyyPxzz);
+ mxyyMxzz += OxyyMxzz * (-mxyyMxzz);
+ //////////////////////////////////////////////////////////////////////////
+
+ mfcba = (mxxyMyzz + mxxyPyzz) * c1o2;
+ mfabc = (-mxxyMyzz + mxxyPyzz) * c1o2;
+ mfcab = (mxxzMyyz + mxxzPyyz) * c1o2;
+ mfacb = (-mxxzMyyz + mxxzPyyz) * c1o2;
+ mfbca = (mxyyMxzz + mxyyPxzz) * c1o2;
+ mfbac = (-mxyyMxzz + mxyyPxzz) * c1o2;
+
+ //4.
+ //////////////////////////////////////////////////////////////////////////
+ CUMacc += O4 * (-CUMacc);
+ CUMcac += O4 * (-CUMcac);
+ CUMcca += O4 * (-CUMcca);
+
+ CUMbbc += O4 * (-CUMbbc);
+ CUMbcb += O4 * (-CUMbcb);
+ CUMcbb += O4 * (-CUMcbb);
+ //////////////////////////////////////////////////////////////////////////
+
+
+ //5.
+ CUMbcc += O5 * (-CUMbcc);
+ CUMcbc += O5 * (-CUMcbc);
+ CUMccb += O5 * (-CUMccb);
+
+ //6.
+ CUMccc += O6 * (-CUMccc);
+
+
+
+ //back cumulants to central moments
+ //4.
+ mfcbb = CUMcbb + ((mfcaa + c1o3) * mfabb + c2o1 * mfbba * mfbab) / rho;
+ mfbcb = CUMbcb + ((mfaca + c1o3) * mfbab + c2o1 * mfbba * mfabb) / rho;
+ mfbbc = CUMbbc + ((mfaac + c1o3) * mfbba + c2o1 * mfbab * mfabb) / rho;
+
+ mfcca = CUMcca + (((mfcaa * mfaca + c2o1 * mfbba * mfbba) + c1o3 * (mfcaa + mfaca)) / rho - c1o9*(drho / rho));
+ mfcac = CUMcac + (((mfcaa * mfaac + c2o1 * mfbab * mfbab) + c1o3 * (mfcaa + mfaac)) / rho - c1o9*(drho / rho));
+ mfacc = CUMacc + (((mfaac * mfaca + c2o1 * mfabb * mfabb) + c1o3 * (mfaac + mfaca)) / rho - c1o9*(drho / rho));
+
+ //5.
+ mfbcc = CUMbcc + ((mfaac * mfbca + mfaca * mfbac + c4o1 * mfabb * mfbbb + c2o1 * (mfbab * mfacb + mfbba * mfabc)) + c1o3 * (mfbca + mfbac)) / rho;
+ mfcbc = CUMcbc + ((mfaac * mfcba + mfcaa * mfabc + c4o1 * mfbab * mfbbb + c2o1 * (mfabb * mfcab + mfbba * mfbac)) + c1o3 * (mfcba + mfabc)) / rho;
+ mfccb = CUMccb + ((mfcaa * mfacb + mfaca * mfcab + c4o1 * mfbba * mfbbb + c2o1 * (mfbab * mfbca + mfabb * mfcba)) + c1o3 * (mfacb + mfcab)) / rho;
+
+ //6.
+ mfccc = CUMccc - ((-c4o1 * mfbbb * mfbbb
+ - (mfcaa * mfacc + mfaca * mfcac + mfaac * mfcca)
+ - c4o1 * (mfabb * mfcbb + mfbab * mfbcb + mfbba * mfbbc)
+ - c2o1 * (mfbca * mfbac + mfcba * mfabc + mfcab * mfacb)) / rho
+ + (c4o1 * (mfbab * mfbab * mfaca + mfabb * mfabb * mfcaa + mfbba * mfbba * mfaac)
+ + c2o1 * (mfcaa * mfaca * mfaac)
+ + c16o1 * mfbba * mfbab * mfabb) / (rho * rho)
+ - c1o3 * (mfacc + mfcac + mfcca) / rho
+ - c1o9 * (mfcaa + mfaca + mfaac) / rho
+ + (c2o1 * (mfbab * mfbab + mfabb * mfabb + mfbba * mfbba)
+ + (mfaac * mfaca + mfaac * mfcaa + mfaca * mfcaa) + c1o3 *(mfaac + mfaca + mfcaa)) / (rho * rho) * c2o3
+ + c1o27*((drho * drho - drho) / (rho*rho)));
+
+ ////////////////////////////////////////////////////////////////////////////////////
+ //the force be with you
+ mfbaa = -mfbaa;
+ mfaba = -mfaba;
+ mfaab = -mfaab;
+ ////////////////////////////////////////////////////////////////////////////////////
+
+
+ ////////////////////////////////////////////////////////////////////////////////////
+ //back
+ ////////////////////////////////////////////////////////////////////////////////////
+ VF::LBM::backwardChimera(mfaaa, mfaab, mfaac, vvz, vz2);
+ VF::LBM::backwardChimera(mfaba, mfabb, mfabc, vvz, vz2);
+ VF::LBM::backwardChimera(mfaca, mfacb, mfacc, vvz, vz2);
+ VF::LBM::backwardChimera(mfbaa, mfbab, mfbac, vvz, vz2);
+ VF::LBM::backwardChimera(mfbba, mfbbb, mfbbc, vvz, vz2);
+ VF::LBM::backwardChimera(mfbca, mfbcb, mfbcc, vvz, vz2);
+ VF::LBM::backwardChimera(mfcaa, mfcab, mfcac, vvz, vz2);
+ VF::LBM::backwardChimera(mfcba, mfcbb, mfcbc, vvz, vz2);
+ VF::LBM::backwardChimera(mfcca, mfccb, mfccc, vvz, vz2);
+
+ VF::LBM::backwardChimera(mfaaa, mfaba, mfaca, vvy, vy2);
+ VF::LBM::backwardChimera(mfaab, mfabb, mfacb, vvy, vy2);
+ VF::LBM::backwardChimera(mfaac, mfabc, mfacc, vvy, vy2);
+ VF::LBM::backwardChimera(mfbaa, mfbba, mfbca, vvy, vy2);
+ VF::LBM::backwardChimera(mfbab, mfbbb, mfbcb, vvy, vy2);
+ VF::LBM::backwardChimera(mfbac, mfbbc, mfbcc, vvy, vy2);
+ VF::LBM::backwardChimera(mfcaa, mfcba, mfcca, vvy, vy2);
+ VF::LBM::backwardChimera(mfcab, mfcbb, mfccb, vvy, vy2);
+ VF::LBM::backwardChimera(mfcac, mfcbc, mfccc, vvy, vy2);
+
+ VF::LBM::backwardChimera(mfaaa, mfbaa, mfcaa, vvx, vx2);
+ VF::LBM::backwardChimera(mfaab, mfbab, mfcab, vvx, vx2);
+ VF::LBM::backwardChimera(mfaac, mfbac, mfcac, vvx, vx2);
+ VF::LBM::backwardChimera(mfaba, mfbba, mfcba, vvx, vx2);
+ VF::LBM::backwardChimera(mfabb, mfbbb, mfcbb, vvx, vx2);
+ VF::LBM::backwardChimera(mfabc, mfbbc, mfcbc, vvx, vx2);
+ VF::LBM::backwardChimera(mfaca, mfbca, mfcca, vvx, vx2);
+ VF::LBM::backwardChimera(mfacb, mfbcb, mfccb, vvx, vx2);
+ VF::LBM::backwardChimera(mfacc, mfbcc, mfccc, vvx, vx2);
+
+ ////////////////////////////////////////////////////////////////////////////////////
+ //mfcbb += EQcbb;
+ //mfabb += EQabb;
+ //mfbcb += EQbcb;
+ //mfbab += EQbab;
+ //mfbbc += EQbbc;
+ //mfbba += EQbba;
+ //mfccb += EQccb;
+ //mfaab += EQaab;
+ //mfcab += EQcab;
+ //mfacb += EQacb;
+ //mfcbc += EQcbc;
+ //mfaba += EQaba;
+ //mfcba += EQcba;
+ //mfabc += EQabc;
+ //mfbcc += EQbcc;
+ //mfbaa += EQbaa;
+ //mfbca += EQbca;
+ //mfbac += EQbac;
+ //mfbbb += EQbbb;
+ //mfccc += EQccc;
+ //mfaac += EQaac;
+ //mfcac += EQcac;
+ //mfacc += EQacc;
+ //mfcca += EQcca;
+ //mfaaa += EQaaa;
+ //mfcaa += EQcaa;
+ //mfaca += EQaca;
+ ////////////////////////////////////////////////////////////////////////////////////
+ ////Error diffusion
+ real fTEMP = mfbbb + EQbbb;
+ real delta0 = mfbbb - (fTEMP - EQbbb);
+ delta0 *= c1o4;
+ mfbbb = fTEMP;
+
+
+ fTEMP = mfcbb + EQcbb;
+ real deltacbb = mfcbb - (fTEMP - EQcbb);
+ mfcbb = fTEMP;
+ //mfcbb+=EQcbb;
+
+ fTEMP = mfabb + EQabb;
+ real deltaabb = mfabb - (fTEMP - EQabb);
+ mfabb = fTEMP;
+ //mfabb+=EQabb;
+
+ fTEMP = mfbcb + EQbcb;
+ real deltabcb = mfbcb - (fTEMP - EQbcb);
+ mfbcb = fTEMP;
+ //mfbcb+=EQbcb;
+
+ fTEMP = mfbab + EQbab;
+ real deltabab = mfbab - (fTEMP - EQbab);
+ mfbab = fTEMP;
+ //mfbab+=EQbab;
+
+ fTEMP = mfbbc + EQbbc;
+ real deltabbc = mfbbc - (fTEMP - EQbbc);
+ mfbbc = fTEMP;
+ //mfbbc+=EQbbc;
+
+ fTEMP = mfbba + EQbba;
+ real deltabba = mfbba - (fTEMP - EQbba);
+ mfbba = fTEMP;
+ //mfbba+=EQbba;
+
+ EQccb += (delta0 + c1o2*(deltacbb + deltabcb));
+ fTEMP = mfccb + EQccb;
+ real deltaccb = mfccb - (fTEMP - EQccb);
+ mfccb = fTEMP;
+ //mfccb+=EQccb+(delta0+c1o2*(deltacbb+deltabcb));
+
+ EQaab += (delta0 + c1o2*(deltaabb + deltabab));
+ fTEMP = mfaab + EQaab;
+ real deltaaab = mfaab - (fTEMP - EQaab);
+ mfaab = fTEMP;
+ //mfaab+=EQaab+(delta0+c1o2*(deltaabb+deltabab));
+
+ EQcab += (delta0 + c1o2*(deltacbb + deltabab));
+ fTEMP = mfcab + EQcab;
+ real deltacab = mfcab - (fTEMP - EQcab);
+ mfcab = fTEMP;
+ //mfcab+=EQcab+(delta0+c1o2*(deltacbb+deltabab));
+
+ EQacb += (delta0 + c1o2*(deltaabb + deltabcb));
+ fTEMP = mfacb + EQacb;
+ real deltaacb = mfacb - (fTEMP - EQacb);
+ mfacb = fTEMP;
+ //mfacb+=EQacb+(delta0+c1o2*(deltaabb+deltabcb));
+
+ EQcbc += (delta0 + c1o2*(deltacbb + deltabbc));
+ fTEMP = mfcbc + EQcbc;
+ real deltacbc = mfcbc - (fTEMP - EQcbc);
+ mfcbc = fTEMP;
+ //mfcbc+=EQcbc+(delta0+c1o2*(deltacbb+deltabbc));
+
+ EQaba += (delta0 + c1o2*(deltaabb + deltabba));
+ fTEMP = mfaba + EQaba;
+ real deltaaba = mfaba - (fTEMP - EQaba);
+ mfaba = fTEMP;
+ //mfaba+=EQaba+(delta0+c1o2*(deltaabb+deltabba));
+
+ EQcba += (delta0 + c1o2*(deltacbb + deltabba));
+ fTEMP = mfcba + EQcba;
+ real deltacba = mfcba - (fTEMP - EQcba);
+ mfcba = fTEMP;
+ //mfcba+=EQcba+(delta0+c1o2*(deltacbb+deltabba));
+
+ EQabc += (delta0 + c1o2*(deltaabb + deltabbc));
+ fTEMP = mfabc + EQabc;
+ real deltaabc = mfabc - (fTEMP - EQabc);
+ mfabc = fTEMP;
+ //mfabc+=EQabc+(delta0+c1o2*(deltaabb+deltabbc));
+
+ EQbcc += (delta0 + c1o2*(deltabcb + deltabbc));
+ fTEMP = mfbcc + EQbcc;
+ real deltabcc = mfbcc - (fTEMP - EQbcc);
+ mfbcc = fTEMP;
+ //mfbcc+=EQbcc+(delta0+c1o2*(deltabcb+deltabbc));
+
+ EQbaa += (delta0 + c1o2*(deltabab + deltabba));
+ fTEMP = mfbaa + EQbaa;
+ real deltabaa = mfbaa - (fTEMP - EQbaa);
+ mfbaa = fTEMP;
+ //mfbaa+=EQbaa+(delta0+c1o2*(deltabab+deltabba));
+
+ EQbca += (delta0 + c1o2*(deltabcb + deltabba));
+ fTEMP = mfbca + EQbca;
+ real deltabca = mfbca - (fTEMP - EQbca);
+ mfbca = fTEMP;
+ //mfbca+=EQbca+(delta0+c1o2*(deltabcb+deltabba));
+
+ EQbac += (delta0 + c1o2*(deltabab + deltabbc));
+ fTEMP = mfbac + EQbac;
+ real deltabac = mfbac - (fTEMP - EQbac);
+ mfbac = fTEMP;
+ //mfbac+=EQbac+(delta0+c1o2*(deltabab+deltabbc));
+
+ mfccc += EQccc - (delta0 + c1o4*(deltacbb + deltabcb + deltabbc) - c1o2*(deltabcc + deltacbc + deltaccb));
+ mfaac += EQaac - (delta0 + c1o4*(deltaabb + deltabab + deltabbc) - c1o2*(deltabac + deltaabc + deltaaab));
+ mfcac += EQcac - (delta0 + c1o4*(deltacbb + deltabab + deltabbc) - c1o2*(deltabac + deltacbc + deltacab));
+ mfacc += EQacc - (delta0 + c1o4*(deltaabb + deltabcb + deltabbc) - c1o2*(deltabcc + deltaabc + deltaacb));
+ mfcca += EQcca - (delta0 + c1o4*(deltacbb + deltabcb + deltabba) - c1o2*(deltabca + deltacba + deltaccb));
+ mfaaa += EQaaa - (delta0 + c1o4*(deltaabb + deltabab + deltabba) - c1o2*(deltabaa + deltaaba + deltaaab));
+ mfcaa += EQcaa - (delta0 + c1o4*(deltacbb + deltabab + deltabba) - c1o2*(deltabaa + deltacba + deltacab));
+ mfaca += EQaca - (delta0 + c1o4*(deltaabb + deltabcb + deltabba) - c1o2*(deltabca + deltaaba + deltaacb));
+
+
+
+ //////////////////////////////////////////////////////////////////////////////////////
+ ////back
+ //////////////////////////////////////////////////////////////////////////////////////
+ ////mit 1, 0, 1/3, 0, 0, 0, 1/3, 0, 1/9 Konditionieren
+ //////////////////////////////////////////////////////////////////////////////////////
+ //// Z - Dir
+ //backwardChimeraWithK(mfaaa, mfaab, mfaac, vvz, vz2, one);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //backwardChimera(mfaba, mfabb, mfabc, vvz, vz2);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //backwardChimeraWithK(mfaca, mfacb, mfacc, vvz, vz2, c1o3);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //////////////////////////////////////////////////////////////////////////////////////
+ //backwardChimera(mfbaa, mfbab, mfbac, vvz, vz2);
+ ///////////b//////////////////////////////////////////////////////////////////////////
+ //backwardChimera(mfbba, mfbbb, mfbbc, vvz, vz2);
+ ///////////b//////////////////////////////////////////////////////////////////////////
+ //backwardChimera(mfbca, mfbcb, mfbcc, vvz, vz2);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //////////////////////////////////////////////////////////////////////////////////////
+ //backwardChimeraWithK(mfcaa, mfcab, mfcac, vvz, vz2, c1o3);
+ ///////////c//////////////////////////////////////////////////////////////////////////
+ //backwardChimera(mfcba, mfcbb, mfcbc, vvz, vz2);
+ ///////////c//////////////////////////////////////////////////////////////////////////
+ //backwardChimeraWithK(mfcca, mfccb, mfccc, vvz, vz2, c1o9);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //////////////////////////////////////////////////////////////////////////////////////
+ ////mit 1/6, 2/3, 1/6, 0, 0, 0, 1/18, 2/9, 1/18 Konditionieren
+ //////////////////////////////////////////////////////////////////////////////////////
+ //// Y - Dir
+ //backwardChimeraWithK(mfaaa, mfaba, mfaca, vvy, vy2, c1o6);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //backwardChimeraWithK(mfaab, mfabb, mfacb, vvy, vy2, c2o3);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //backwardChimeraWithK(mfaac, mfabc, mfacc, vvy, vy2, c1o6);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //////////////////////////////////////////////////////////////////////////////////////
+ //backwardChimera(mfbaa, mfbba, mfbca, vvz, vz2);
+ ///////////b//////////////////////////////////////////////////////////////////////////
+ //backwardChimera(mfbab, mfbbb, mfbcb, vvz, vz2);
+ ///////////b//////////////////////////////////////////////////////////////////////////
+ //backwardChimera(mfbac, mfbbc, mfbcc, vvz, vz2);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //////////////////////////////////////////////////////////////////////////////////////
+ //backwardChimeraWithK(mfcaa, mfcba, mfcca, vvy, vy2, c1o18);
+ ///////////c//////////////////////////////////////////////////////////////////////////
+ //backwardChimeraWithK(mfcab, mfcbb, mfccb, vvy, vy2, c2o9);
+ ///////////c//////////////////////////////////////////////////////////////////////////
+ //backwardChimeraWithK(mfcac, mfcbc, mfccc, vvy, vy2, c1o18);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //////////////////////////////////////////////////////////////////////////////////////
+ ////mit 1/36, 1/9, 1/36, 1/9, 4/9, 1/9, 1/36, 1/9, 1/36 Konditionieren
+ //////////////////////////////////////////////////////////////////////////////////////
+ //// X - Dir
+ //backwardChimeraWithK(mfaaa, mfbaa, mfcaa, vvx, vx2, c1o36);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //backwardChimeraWithK(mfaba, mfbba, mfcba, vvx, vx2, c1o9);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //backwardChimeraWithK(mfaca, mfbca, mfcca, vvx, vx2, c1o36);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //////////////////////////////////////////////////////////////////////////////////////
+ //backwardChimeraWithK(mfaab, mfbab, mfcab, vvx, vx2, c1o9);
+ /////////////b////////////////////////////////////////////////////////////////////////
+ //backwardChimeraWithK(mfabb, mfbbb, mfcbb, vvx, vx2, c4o9);
+ /////////////b////////////////////////////////////////////////////////////////////////
+ //backwardChimeraWithK(mfacb, mfbcb, mfccb, vvx, vx2, c1o9);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //////////////////////////////////////////////////////////////////////////////////////
+ //backwardChimeraWithK(mfaac, mfbac, mfcac, vvx, vx2, c1o36);
+ /////////////c////////////////////////////////////////////////////////////////////////
+ //backwardChimeraWithK(mfabc, mfbbc, mfcbc, vvx, vx2, c1o9);
+ /////////////c////////////////////////////////////////////////////////////////////////
+ //backwardChimeraWithK(mfacc, mfbcc, mfccc, vvx, vx2, c1o36);
+ //////////////////////////////////////////////////////////////////////////////////////
+
+ ////////////////////////////////////////////////////////////////////////////////////////
+ //real drhoPost =
+ // ((((mfccc + mfaaa) + (mfaca + mfcac)) + ((mfacc + mfcaa) + (mfaac + mfcca))) +
+ // (((mfbac + mfbca) + (mfbaa + mfbcc)) + ((mfabc + mfcba) + (mfaba + mfcbc)) + ((mfacb + mfcab) + (mfaab + mfccb))) +
+ // ((mfabb + mfcbb) + (mfbab + mfbcb) + (mfbba + mfbbc))) + mfbbb;
+ //mfbbb += drho - drhoPost;
+ ////////////////////////////////////////////////////////////////////////////////////
+ (D.f[dirE])[k] = mfabb;//(D.f[ dirE ])[ke ] = mfabb;// - c2over27 ; (D.f[ dirE ])[k ]
+ (D.f[dirW])[kw] = mfcbb;//(D.f[ dirW ])[kw ] = mfcbb;// - c2over27 ; (D.f[ dirW ])[kw ]
+ (D.f[dirN])[k] = mfbab;//(D.f[ dirN ])[kn ] = mfbab;// - c2over27 ; (D.f[ dirN ])[k ]
+ (D.f[dirS])[ks] = mfbcb;//(D.f[ dirS ])[ks ] = mfbcb;// - c2over27 ; (D.f[ dirS ])[ks ]
+ (D.f[dirT])[k] = mfbba;//(D.f[ dirT ])[kt ] = mfbba;// - c2over27 ; (D.f[ dirT ])[k ]
+ (D.f[dirB])[kb] = mfbbc;//(D.f[ dirB ])[kb ] = mfbbc;// - c2over27 ; (D.f[ dirB ])[kb ]
+ (D.f[dirNE])[k] = mfaab;//(D.f[ dirNE ])[kne ] = mfaab;// - c1over54 ; (D.f[ dirNE ])[k ]
+ (D.f[dirSW])[ksw] = mfccb;//(D.f[ dirSW ])[ksw ] = mfccb;// - c1over54 ; (D.f[ dirSW ])[ksw ]
+ (D.f[dirSE])[ks] = mfacb;//(D.f[ dirSE ])[kse ] = mfacb;// - c1over54 ; (D.f[ dirSE ])[ks ]
+ (D.f[dirNW])[kw] = mfcab;//(D.f[ dirNW ])[knw ] = mfcab;// - c1over54 ; (D.f[ dirNW ])[kw ]
+ (D.f[dirTE])[k] = mfaba;//(D.f[ dirTE ])[kte ] = mfaba;// - c1over54 ; (D.f[ dirTE ])[k ]
+ (D.f[dirBW])[kbw] = mfcbc;//(D.f[ dirBW ])[kbw ] = mfcbc;// - c1over54 ; (D.f[ dirBW ])[kbw ]
+ (D.f[dirBE])[kb] = mfabc;//(D.f[ dirBE ])[kbe ] = mfabc;// - c1over54 ; (D.f[ dirBE ])[kb ]
+ (D.f[dirTW])[kw] = mfcba;//(D.f[ dirTW ])[ktw ] = mfcba;// - c1over54 ; (D.f[ dirTW ])[kw ]
+ (D.f[dirTN])[k] = mfbaa;//(D.f[ dirTN ])[ktn ] = mfbaa;// - c1over54 ; (D.f[ dirTN ])[k ]
+ (D.f[dirBS])[kbs] = mfbcc;//(D.f[ dirBS ])[kbs ] = mfbcc;// - c1over54 ; (D.f[ dirBS ])[kbs ]
+ (D.f[dirBN])[kb] = mfbac;//(D.f[ dirBN ])[kbn ] = mfbac;// - c1over54 ; (D.f[ dirBN ])[kb ]
+ (D.f[dirTS])[ks] = mfbca;//(D.f[ dirTS ])[kts ] = mfbca;// - c1over54 ; (D.f[ dirTS ])[ks ]
+ (D.f[dirZERO])[k] = mfbbb;//(D.f[ dirZERO])[kzero] = mfbbb;// - c8over27 ; (D.f[ dirZERO])[k ]
+ (D.f[dirTNE])[k] = mfaaa;//(D.f[ dirTNE ])[ktne ] = mfaaa;// - c1over216; (D.f[ dirTNE ])[k ]
+ (D.f[dirTSE])[ks] = mfaca;//(D.f[ dirTSE ])[ktse ] = mfaca;// - c1over216; (D.f[ dirTSE ])[ks ]
+ (D.f[dirBNE])[kb] = mfaac;//(D.f[ dirBNE ])[kbne ] = mfaac;// - c1over216; (D.f[ dirBNE ])[kb ]
+ (D.f[dirBSE])[kbs] = mfacc;//(D.f[ dirBSE ])[kbse ] = mfacc;// - c1over216; (D.f[ dirBSE ])[kbs ]
+ (D.f[dirTNW])[kw] = mfcaa;//(D.f[ dirTNW ])[ktnw ] = mfcaa;// - c1over216; (D.f[ dirTNW ])[kw ]
+ (D.f[dirTSW])[ksw] = mfcca;//(D.f[ dirTSW ])[ktsw ] = mfcca;// - c1over216; (D.f[ dirTSW ])[ksw ]
+ (D.f[dirBNW])[kbw] = mfcac;//(D.f[ dirBNW ])[kbnw ] = mfcac;// - c1over216; (D.f[ dirBNW ])[kbw ]
+ (D.f[dirBSW])[kbsw] = mfccc;//(D.f[ dirBSW ])[kbsw ] = mfccc;// - c1over216; (D.f[ dirBSW ])[kbsw]
+ ////////////////////////////////////////////////////////////////////////////////////
+ }
+ }
}
////////////////////////////////////////////////////////////////////////////////
@@ -932,758 +1781,758 @@ extern "C" __global__ void Cumulant_One_preconditioned_errorDiffusion_chim_Comp_
////////////////////////////////////////////////////////////////////////////////
extern "C" __global__ void Cumulant_One_preconditioned_chim_Comp_SP_27(
- real omega,
- unsigned int* bcMatD,
- unsigned int* neighborX,
- unsigned int* neighborY,
- unsigned int* neighborZ,
- real* DDStart,
- int size_Mat,
- int level,
- real* forces,
- bool EvenOrOdd)
+ real omega,
+ unsigned int* bcMatD,
+ unsigned int* neighborX,
+ unsigned int* neighborY,
+ unsigned int* neighborZ,
+ real* DDStart,
+ int size_Mat,
+ int level,
+ real* forces,
+ bool EvenOrOdd)
{
- ////////////////////////////////////////////////////////////////////////////////
- const unsigned x = threadIdx.x; // Globaler x-Index
- const unsigned y = blockIdx.x; // Globaler y-Index
- const unsigned z = blockIdx.y; // Globaler z-Index
-
- const unsigned nx = blockDim.x;
- const unsigned ny = gridDim.x;
-
- const unsigned k = nx*(ny*z + y) + x;
- //////////////////////////////////////////////////////////////////////////
-
- if (k<size_Mat)
- {
- ////////////////////////////////////////////////////////////////////////////////
- unsigned int BC;
- BC = bcMatD[k];
-
- if (BC >= GEO_FLUID/*(BC != GEO_SOLID) && (BC != GEO_VOID)*/)
- {
- Distributions27 D;
- if (EvenOrOdd == true)
- {
- D.f[dirE] = &DDStart[dirE *size_Mat];
- D.f[dirW] = &DDStart[dirW *size_Mat];
- D.f[dirN] = &DDStart[dirN *size_Mat];
- D.f[dirS] = &DDStart[dirS *size_Mat];
- D.f[dirT] = &DDStart[dirT *size_Mat];
- D.f[dirB] = &DDStart[dirB *size_Mat];
- D.f[dirNE] = &DDStart[dirNE *size_Mat];
- D.f[dirSW] = &DDStart[dirSW *size_Mat];
- D.f[dirSE] = &DDStart[dirSE *size_Mat];
- D.f[dirNW] = &DDStart[dirNW *size_Mat];
- D.f[dirTE] = &DDStart[dirTE *size_Mat];
- D.f[dirBW] = &DDStart[dirBW *size_Mat];
- D.f[dirBE] = &DDStart[dirBE *size_Mat];
- D.f[dirTW] = &DDStart[dirTW *size_Mat];
- D.f[dirTN] = &DDStart[dirTN *size_Mat];
- D.f[dirBS] = &DDStart[dirBS *size_Mat];
- D.f[dirBN] = &DDStart[dirBN *size_Mat];
- D.f[dirTS] = &DDStart[dirTS *size_Mat];
- D.f[dirZERO] = &DDStart[dirZERO*size_Mat];
- D.f[dirTNE] = &DDStart[dirTNE *size_Mat];
- D.f[dirTSW] = &DDStart[dirTSW *size_Mat];
- D.f[dirTSE] = &DDStart[dirTSE *size_Mat];
- D.f[dirTNW] = &DDStart[dirTNW *size_Mat];
- D.f[dirBNE] = &DDStart[dirBNE *size_Mat];
- D.f[dirBSW] = &DDStart[dirBSW *size_Mat];
- D.f[dirBSE] = &DDStart[dirBSE *size_Mat];
- D.f[dirBNW] = &DDStart[dirBNW *size_Mat];
- }
- else
- {
- D.f[dirW] = &DDStart[dirE *size_Mat];
- D.f[dirE] = &DDStart[dirW *size_Mat];
- D.f[dirS] = &DDStart[dirN *size_Mat];
- D.f[dirN] = &DDStart[dirS *size_Mat];
- D.f[dirB] = &DDStart[dirT *size_Mat];
- D.f[dirT] = &DDStart[dirB *size_Mat];
- D.f[dirSW] = &DDStart[dirNE *size_Mat];
- D.f[dirNE] = &DDStart[dirSW *size_Mat];
- D.f[dirNW] = &DDStart[dirSE *size_Mat];
- D.f[dirSE] = &DDStart[dirNW *size_Mat];
- D.f[dirBW] = &DDStart[dirTE *size_Mat];
- D.f[dirTE] = &DDStart[dirBW *size_Mat];
- D.f[dirTW] = &DDStart[dirBE *size_Mat];
- D.f[dirBE] = &DDStart[dirTW *size_Mat];
- D.f[dirBS] = &DDStart[dirTN *size_Mat];
- D.f[dirTN] = &DDStart[dirBS *size_Mat];
- D.f[dirTS] = &DDStart[dirBN *size_Mat];
- D.f[dirBN] = &DDStart[dirTS *size_Mat];
- D.f[dirZERO] = &DDStart[dirZERO*size_Mat];
- D.f[dirBSW] = &DDStart[dirTNE *size_Mat];
- D.f[dirBNE] = &DDStart[dirTSW *size_Mat];
- D.f[dirBNW] = &DDStart[dirTSE *size_Mat];
- D.f[dirBSE] = &DDStart[dirTNW *size_Mat];
- D.f[dirTSW] = &DDStart[dirBNE *size_Mat];
- D.f[dirTNE] = &DDStart[dirBSW *size_Mat];
- D.f[dirTNW] = &DDStart[dirBSE *size_Mat];
- D.f[dirTSE] = &DDStart[dirBNW *size_Mat];
- }
-
- ////////////////////////////////////////////////////////////////////////////////
- //index
- //unsigned int kzero= k;
- //unsigned int ke = k;
- unsigned int kw = neighborX[k];
- //unsigned int kn = k;
- unsigned int ks = neighborY[k];
- //unsigned int kt = k;
- unsigned int kb = neighborZ[k];
- unsigned int ksw = neighborY[kw];
- //unsigned int kne = k;
- //unsigned int kse = ks;
- //unsigned int knw = kw;
- unsigned int kbw = neighborZ[kw];
- //unsigned int kte = k;
- //unsigned int kbe = kb;
- //unsigned int ktw = kw;
- unsigned int kbs = neighborZ[ks];
- //unsigned int ktn = k;
- //unsigned int kbn = kb;
- //unsigned int kts = ks;
- //unsigned int ktse = ks;
- //unsigned int kbnw = kbw;
- //unsigned int ktnw = kw;
- //unsigned int kbse = kbs;
- //unsigned int ktsw = ksw;
- //unsigned int kbne = kb;
- //unsigned int ktne = k;
- unsigned int kbsw = neighborZ[ksw];
-
-
-
- //////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
- real mfcbb = (D.f[dirE])[k];//[ke ];// + c2over27 ;(D.f[dirE ])[k ];//ke
- real mfabb = (D.f[dirW])[kw];//[kw ];// + c2over27 ;(D.f[dirW ])[kw ];
- real mfbcb = (D.f[dirN])[k];//[kn ];// + c2over27 ;(D.f[dirN ])[k ];//kn
- real mfbab = (D.f[dirS])[ks];//[ks ];// + c2over27 ;(D.f[dirS ])[ks ];
- real mfbbc = (D.f[dirT])[k];//[kt ];// + c2over27 ;(D.f[dirT ])[k ];//kt
- real mfbba = (D.f[dirB])[kb];//[kb ];// + c2over27 ;(D.f[dirB ])[kb ];
- real mfccb = (D.f[dirNE])[k];//[kne ];// + c1over54 ;(D.f[dirNE ])[k ];//kne
- real mfaab = (D.f[dirSW])[ksw];//[ksw ];// + c1over54 ;(D.f[dirSW ])[ksw];
- real mfcab = (D.f[dirSE])[ks];//[kse ];// + c1over54 ;(D.f[dirSE ])[ks ];//kse
- real mfacb = (D.f[dirNW])[kw];//[knw ];// + c1over54 ;(D.f[dirNW ])[kw ];//knw
- real mfcbc = (D.f[dirTE])[k];//[kte ];// + c1over54 ;(D.f[dirTE ])[k ];//kte
- real mfaba = (D.f[dirBW])[kbw];//[kbw ];// + c1over54 ;(D.f[dirBW ])[kbw];
- real mfcba = (D.f[dirBE])[kb];//[kbe ];// + c1over54 ;(D.f[dirBE ])[kb ];//kbe
- real mfabc = (D.f[dirTW])[kw];//[ktw ];// + c1over54 ;(D.f[dirTW ])[kw ];//ktw
- real mfbcc = (D.f[dirTN])[k];//[ktn ];// + c1over54 ;(D.f[dirTN ])[k ];//ktn
- real mfbaa = (D.f[dirBS])[kbs];//[kbs ];// + c1over54 ;(D.f[dirBS ])[kbs];
- real mfbca = (D.f[dirBN])[kb];//[kbn ];// + c1over54 ;(D.f[dirBN ])[kb ];//kbn
- real mfbac = (D.f[dirTS])[ks];//[kts ];// + c1over54 ;(D.f[dirTS ])[ks ];//kts
- real mfbbb = (D.f[dirZERO])[k];//[kzero];// + c8over27 ;(D.f[dirZERO])[k ];//kzero
- real mfccc = (D.f[dirTNE])[k];//[ktne ];// + c1over216;(D.f[dirTNE ])[k ];//ktne
- real mfaac = (D.f[dirTSW])[ksw];//[ktsw ];// + c1over216;(D.f[dirTSW ])[ksw];//ktsw
- real mfcac = (D.f[dirTSE])[ks];//[ktse ];// + c1over216;(D.f[dirTSE ])[ks ];//ktse
- real mfacc = (D.f[dirTNW])[kw];//[ktnw ];// + c1over216;(D.f[dirTNW ])[kw ];//ktnw
- real mfcca = (D.f[dirBNE])[kb];//[kbne ];// + c1over216;(D.f[dirBNE ])[kb ];//kbne
- real mfaaa = (D.f[dirBSW])[kbsw];//[kbsw ];// + c1over216;(D.f[dirBSW ])[kbsw];
- real mfcaa = (D.f[dirBSE])[kbs];//[kbse ];// + c1over216;(D.f[dirBSE ])[kbs];//kbse
- real mfaca = (D.f[dirBNW])[kbw];//[kbnw ];// + c1over216;(D.f[dirBNW ])[kbw];//kbnw
- ////////////////////////////////////////////////////////////////////////////////////
- real drho = ((((mfccc + mfaaa) + (mfaca + mfcac)) + ((mfacc + mfcaa) + (mfaac + mfcca))) +
- (((mfbac + mfbca) + (mfbaa + mfbcc)) + ((mfabc + mfcba) + (mfaba + mfcbc)) + ((mfacb + mfcab) + (mfaab + mfccb))) +
- ((mfabb + mfcbb) + (mfbab + mfbcb) + (mfbba + mfbbc))) + mfbbb;
-
- real rho = c1o1 + drho;
- ////////////////////////////////////////////////////////////////////////////////////
- real vvx = ((((mfccc - mfaaa) + (mfcac - mfaca)) + ((mfcaa - mfacc) + (mfcca - mfaac))) +
- (((mfcba - mfabc) + (mfcbc - mfaba)) + ((mfcab - mfacb) + (mfccb - mfaab))) +
- (mfcbb - mfabb)) / rho;
- real vvy = ((((mfccc - mfaaa) + (mfaca - mfcac)) + ((mfacc - mfcaa) + (mfcca - mfaac))) +
- (((mfbca - mfbac) + (mfbcc - mfbaa)) + ((mfacb - mfcab) + (mfccb - mfaab))) +
- (mfbcb - mfbab)) / rho;
- real vvz = ((((mfccc - mfaaa) + (mfcac - mfaca)) + ((mfacc - mfcaa) + (mfaac - mfcca))) +
- (((mfbac - mfbca) + (mfbcc - mfbaa)) + ((mfabc - mfcba) + (mfcbc - mfaba))) +
- (mfbbc - mfbba)) / rho;
- ////////////////////////////////////////////////////////////////////////////////////
- //the force be with you
- real fx = forces[0] / (pow((double)c2o1, (double)level)); //zero;//0.0032653/(pow(two,level)); //0.000000005;//(two/1600000.0) / 120.0; //
- real fy = forces[1] / (pow((double)c2o1, (double)level)); //zero;
- real fz = forces[2] / (pow((double)c2o1, (double)level)); //zero;
- vvx += fx*c1o2;
- vvy += fy*c1o2;
- vvz += fz*c1o2;
- ////////////////////////////////////////////////////////////////////////////////////
- //real omega = omega_in;
- ////////////////////////////////////////////////////////////////////////////////////
- //fast
- //real oMdrho = c1o1; // comp special
- //real m0, m1, m2;
- real vx2;
- real vy2;
- real vz2;
- vx2 = vvx*vvx;
- vy2 = vvy*vvy;
- vz2 = vvz*vvz;
- ////////////////////////////////////////////////////////////////////////////////////
- //real wadjust;
- //real qudricLimitP = c1o100;// * 0.0001f;
- //real qudricLimitM = c1o100;// * 0.0001f;
- //real qudricLimitD = c1o100;// * 0.001f;
- //real s9 = minusomega;
- //test
- //s9 = 0.;
-
-
- //////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
- real EQcbb = c0o1;
- real EQabb = c0o1;
- real EQbcb = c0o1;
- real EQbab = c0o1;
- real EQbbc = c0o1;
- real EQbba = c0o1;
- real EQccb = c0o1;
- real EQaab = c0o1;
- real EQcab = c0o1;
- real EQacb = c0o1;
- real EQcbc = c0o1;
- real EQaba = c0o1;
- real EQcba = c0o1;
- real EQabc = c0o1;
- real EQbcc = c0o1;
- real EQbaa = c0o1;
- real EQbca = c0o1;
- real EQbac = c0o1;
- real EQbbb = c0o1;
- real EQccc = drho * c1o27;
- real EQaac = drho * c1o3;
- real EQcac = drho * c1o9;
- real EQacc = drho * c1o9;
- real EQcca = drho * c1o9;
- real EQaaa = drho;
- real EQcaa = drho * c1o3;
- real EQaca = drho * c1o3;
- ////////////////////////////////////////////////////////////////////////////////////
- VF::LBM::backwardChimeraWithK(EQaaa, EQaab, EQaac, vvz, vz2, c1o1);
- VF::LBM::backwardChimeraWithK(EQaca, EQacb, EQacc, vvz, vz2, c1o3);
- ///////////////////////////////////////////////////////////
- EQcaa = EQaca; EQcab = EQacb; EQcac = EQacc;
- ///////////////////////////////////////////////////////////
- VF::LBM::backwardChimeraWithK(EQcca, EQccb, EQccc, vvz, vz2, c1o9);
-
- VF::LBM::backwardChimeraWithK(EQaaa, EQaba, EQaca, vvy, vy2, c1o6);
- VF::LBM::backwardChimeraWithK(EQaab, EQabb, EQacb, vvy, vy2, c2o3);
- VF::LBM::backwardChimeraWithK(EQaac, EQabc, EQacc, vvy, vy2, c1o6);
- VF::LBM::backwardChimeraWithK(EQcaa, EQcba, EQcca, vvy, vy2, c1o18);
- VF::LBM::backwardChimeraWithK(EQcab, EQcbb, EQccb, vvy, vy2, c2o9);
- VF::LBM::backwardChimeraWithK(EQcac, EQcbc, EQccc, vvy, vy2, c1o18);
-
- VF::LBM::backwardChimeraWithK(EQaaa, EQbaa, EQcaa, vvx, vx2, c1o36);
- VF::LBM::backwardChimeraWithK(EQaab, EQbab, EQcab, vvx, vx2, c1o9);
- VF::LBM::backwardChimeraWithK(EQaac, EQbac, EQcac, vvx, vx2, c1o36);
- VF::LBM::backwardChimeraWithK(EQaba, EQbba, EQcba, vvx, vx2, c1o9);
- VF::LBM::backwardChimeraWithK(EQabb, EQbbb, EQcbb, vvx, vx2, c4o9);
- VF::LBM::backwardChimeraWithK(EQabc, EQbbc, EQcbc, vvx, vx2, c1o9);
- VF::LBM::backwardChimeraWithK(EQaca, EQbca, EQcca, vvx, vx2, c1o36);
- VF::LBM::backwardChimeraWithK(EQacb, EQbcb, EQccb, vvx, vx2, c1o9);
- VF::LBM::backwardChimeraWithK(EQacc, EQbcc, EQccc, vvx, vx2, c1o36);
-
- ////////////////////////////////////////////////////////////////////////////////////
- //Pre-condition
- mfcbb -= EQcbb;
- mfabb -= EQabb;
- mfbcb -= EQbcb;
- mfbab -= EQbab;
- mfbbc -= EQbbc;
- mfbba -= EQbba;
- mfccb -= EQccb;
- mfaab -= EQaab;
- mfcab -= EQcab;
- mfacb -= EQacb;
- mfcbc -= EQcbc;
- mfaba -= EQaba;
- mfcba -= EQcba;
- mfabc -= EQabc;
- mfbcc -= EQbcc;
- mfbaa -= EQbaa;
- mfbca -= EQbca;
- mfbac -= EQbac;
- mfbbb -= EQbbb;
- mfccc -= EQccc;
- mfaac -= EQaac;
- mfcac -= EQcac;
- mfacc -= EQacc;
- mfcca -= EQcca;
- mfaaa -= EQaaa;
- mfcaa -= EQcaa;
- mfaca -= EQaca;
-
- ////////////////////////////////////////////////////////////////////////////////////
- //Hin
- ////////////////////////////////////////////////////////////////////////////////////
- VF::LBM::forwardChimera(mfaaa, mfaab, mfaac, vvz, vz2);
- VF::LBM::forwardChimera(mfaba, mfabb, mfabc, vvz, vz2);
- VF::LBM::forwardChimera(mfaca, mfacb, mfacc, vvz, vz2);
- VF::LBM::forwardChimera(mfbaa, mfbab, mfbac, vvz, vz2);
- VF::LBM::forwardChimera(mfbba, mfbbb, mfbbc, vvz, vz2);
- VF::LBM::forwardChimera(mfbca, mfbcb, mfbcc, vvz, vz2);
- VF::LBM::forwardChimera(mfcaa, mfcab, mfcac, vvz, vz2);
- VF::LBM::forwardChimera(mfcba, mfcbb, mfcbc, vvz, vz2);
- VF::LBM::forwardChimera(mfcca, mfccb, mfccc, vvz, vz2);
-
- VF::LBM::forwardChimera(mfaaa, mfaba, mfaca, vvy, vy2);
- VF::LBM::forwardChimera(mfaab, mfabb, mfacb, vvy, vy2);
- VF::LBM::forwardChimera(mfaac, mfabc, mfacc, vvy, vy2);
- VF::LBM::forwardChimera(mfbaa, mfbba, mfbca, vvy, vy2);
- VF::LBM::forwardChimera(mfbab, mfbbb, mfbcb, vvy, vy2);
- VF::LBM::forwardChimera(mfbac, mfbbc, mfbcc, vvy, vy2);
- VF::LBM::forwardChimera(mfcaa, mfcba, mfcca, vvy, vy2);
- VF::LBM::forwardChimera(mfcab, mfcbb, mfccb, vvy, vy2);
- VF::LBM::forwardChimera(mfcac, mfcbc, mfccc, vvy, vy2);
-
- VF::LBM::forwardChimera(mfaaa, mfbaa, mfcaa, vvx, vx2);
- VF::LBM::forwardChimera(mfaab, mfbab, mfcab, vvx, vx2);
- VF::LBM::forwardChimera(mfaac, mfbac, mfcac, vvx, vx2);
- VF::LBM::forwardChimera(mfaba, mfbba, mfcba, vvx, vx2);
- VF::LBM::forwardChimera(mfabb, mfbbb, mfcbb, vvx, vx2);
- VF::LBM::forwardChimera(mfabc, mfbbc, mfcbc, vvx, vx2);
- VF::LBM::forwardChimera(mfaca, mfbca, mfcca, vvx, vx2);
- VF::LBM::forwardChimera(mfacb, mfbcb, mfccb, vvx, vx2);
- VF::LBM::forwardChimera(mfacc, mfbcc, mfccc, vvx, vx2);
-
- //////////////////////////////////////////////////////////////////////////////////////
- ////Hin
- //////////////////////////////////////////////////////////////////////////////////////
- //// mit 1/36, 1/9, 1/36, 1/9, 4/9, 1/9, 1/36, 1/9, 1/36 Konditionieren
- //////////////////////////////////////////////////////////////////////////////////////
- //// Z - Dir
- //forwardChimeraWithK(mfaaa, mfaab, mfaac, vvz, vz2, c1o36);
- //////////////////////////////////////////////////////////////////////////////////////
- //forwardChimeraWithK(mfaba, mfabb, mfabc, vvz, vz2, c1o9);
- //////////////////////////////////////////////////////////////////////////////////////
- //forwardChimeraWithK(mfaca, mfacb, mfacc, vvz, vz2, c1o36);
- //////////////////////////////////////////////////////////////////////////////////////
- //////////////////////////////////////////////////////////////////////////////////////
- //forwardChimeraWithK(mfbaa, mfbab, mfbac, vvz, vz2, c1o9);
- //////////////////////////////////////////////////////////////////////////////////////
- //forwardChimeraWithK(mfbba, mfbbb, mfbbc, vvz, vz2, c4o9);
- //////////////////////////////////////////////////////////////////////////////////////
- //forwardChimeraWithK(mfbca, mfbcb, mfbcc, vvz, vz2, c1o9);
- //////////////////////////////////////////////////////////////////////////////////////
- //////////////////////////////////////////////////////////////////////////////////////
- //forwardChimeraWithK(mfcaa, mfcab, mfcac, vvz, vz2, c1o36);
- //////////////////////////////////////////////////////////////////////////////////////
- //forwardChimeraWithK(mfcba, mfcbb, mfcbc, vvz, vz2, c1o9);
- //////////////////////////////////////////////////////////////////////////////////////
- //forwardChimeraWithK(mfcca, mfccb, mfccc, vvz, vz2, c1o36);
- //////////////////////////////////////////////////////////////////////////////////////
- //////////////////////////////////////////////////////////////////////////////////////
- //// mit 1/6, 0, 1/18, 2/3, 0, 2/9, 1/6, 0, 1/18 Konditionieren
- //////////////////////////////////////////////////////////////////////////////////////
- //// Y - Dir
- //forwardChimeraWithK(mfaaa, mfaba, mfaca, vvy, vy2, c1o6);
- //////////////////////////////////////////////////////////////////////////////////////
- //forwardChimera(mfaab, mfabb, mfacb, vvy, vy2);
- //////////////////////////////////////////////////////////////////////////////////////
- //forwardChimeraWithK(mfaac, mfabc, mfacc, vvy, vy2, c1o18);
- //////////////////////////////////////////////////////////////////////////////////////
- //////////////////////////////////////////////////////////////////////////////////////
- //forwardChimeraWithK(mfbaa, mfbba, mfbca, vvy, vy2, c2o3);
- //////////////////////////////////////////////////////////////////////////////////////
- //forwardChimera(mfbab, mfbbb, mfbcb, vvy, vy2);
- //////////////////////////////////////////////////////////////////////////////////////
- //forwardChimeraWithK(mfbac, mfbbc, mfbcc, vvy, vy2, c2o9);
- //////////////////////////////////////////////////////////////////////////////////////
- //////////////////////////////////////////////////////////////////////////////////////
- //forwardChimeraWithK(mfcaa, mfcba, mfcca, vvy, vy2, c1o6);
- //////////////////////////////////////////////////////////////////////////////////////
- //forwardChimera(mfcab, mfcbb, mfccb, vvy, vy2);
- //////////////////////////////////////////////////////////////////////////////////////
- //forwardChimeraWithK(mfcac, mfcbc, mfccc, vvy, vy2, c1o18);
- //////////////////////////////////////////////////////////////////////////////////////
- //////////////////////////////////////////////////////////////////////////////////////
- //// mit 1, 0, 1/3, 0, 0, 0, 1/3, 0, 1/9 Konditionieren
- //////////////////////////////////////////////////////////////////////////////////////
- //// X - Dir
- //forwardChimeraWithK(mfaaa, mfbaa, mfcaa, vvx, vx2, one);
- //////////////////////////////////////////////////////////////////////////////////////
- //forwardChimera(mfaba, mfbba, mfcba, vvx, vx2);
- //////////////////////////////////////////////////////////////////////////////////////
- //forwardChimeraWithK(mfaca, mfbca, mfcca, vvx, vx2, c1o3);
- //////////////////////////////////////////////////////////////////////////////////////
- //////////////////////////////////////////////////////////////////////////////////////
- //forwardChimera(mfaab, mfbab, mfcab, vvx, vx2);
- //////////////////////////////////////////////////////////////////////////////////////
- //forwardChimera(mfabb, mfbbb, mfcbb, vvx, vx2);
- //////////////////////////////////////////////////////////////////////////////////////
- //forwardChimera(mfacb, mfbcb, mfccb, vvx, vx2);
- //////////////////////////////////////////////////////////////////////////////////////
- //////////////////////////////////////////////////////////////////////////////////////
- //forwardChimeraWithK(mfaac, mfbac, mfcac, vvx, vx2, c1o3);
- //////////////////////////////////////////////////////////////////////////////////////
- //forwardChimera(mfabc, mfbbc, mfcbc, vvx, vx2);
- //////////////////////////////////////////////////////////////////////////////////////
- //forwardChimeraWithK(mfacc, mfbcc, mfccc, vvx, vx2, c1o9);
- //////////////////////////////////////////////////////////////////////////////////////
- //////////////////////////////////////////////////////////////////////////////////////
-
-
- ////////////////////////////////////////////////////////////////////////////////////
- // Cumulants
- ////////////////////////////////////////////////////////////////////////////////////
- real OxxPyyPzz = c1o1; //omega; // one; //set the bulk viscosity one is high / two is very low and zero is (too) high
-
- ////////////////////////////////////////////////////////////
- //3.
- //////////////////////////////
- real OxyyPxzz = c1o1;
- real OxyyMxzz = c1o1;
- //real Oxyz = c1o1;
- ////////////////////////////////////////////////////////////
- //4.
- //////////////////////////////
- real O4 = c1o1;
- ////////////////////////////////////////////////////////////
- //5.
- //////////////////////////////
- real O5 = c1o1;
- ////////////////////////////////////////////////////////////
- //6.
- //////////////////////////////
- real O6 = c1o1;
- ////////////////////////////////////////////////////////////
-
-
- //central moments to cumulants
- //4.
- real CUMcbb = mfcbb - ((mfcaa + c1o3) * mfabb + c2o1 * mfbba * mfbab) / rho;
- real CUMbcb = mfbcb - ((mfaca + c1o3) * mfbab + c2o1 * mfbba * mfabb) / rho;
- real CUMbbc = mfbbc - ((mfaac + c1o3) * mfbba + c2o1 * mfbab * mfabb) / rho;
-
- real CUMcca = mfcca - (((mfcaa * mfaca + c2o1 * mfbba * mfbba) + c1o3 * (mfcaa + mfaca)) / rho - c1o9*(drho / rho));
- real CUMcac = mfcac - (((mfcaa * mfaac + c2o1 * mfbab * mfbab) + c1o3 * (mfcaa + mfaac)) / rho - c1o9*(drho / rho));
- real CUMacc = mfacc - (((mfaac * mfaca + c2o1 * mfabb * mfabb) + c1o3 * (mfaac + mfaca)) / rho - c1o9*(drho / rho));
-
- //5.
- real CUMbcc = mfbcc - ((mfaac * mfbca + mfaca * mfbac + c4o1 * mfabb * mfbbb + c2o1 * (mfbab * mfacb + mfbba * mfabc)) + c1o3 * (mfbca + mfbac)) / rho;
- real CUMcbc = mfcbc - ((mfaac * mfcba + mfcaa * mfabc + c4o1 * mfbab * mfbbb + c2o1 * (mfabb * mfcab + mfbba * mfbac)) + c1o3 * (mfcba + mfabc)) / rho;
- real CUMccb = mfccb - ((mfcaa * mfacb + mfaca * mfcab + c4o1 * mfbba * mfbbb + c2o1 * (mfbab * mfbca + mfabb * mfcba)) + c1o3 * (mfacb + mfcab)) / rho;
-
- //6.
-
- real CUMccc = mfccc + ((-c4o1 * mfbbb * mfbbb
- - (mfcaa * mfacc + mfaca * mfcac + mfaac * mfcca)
- - c4o1 * (mfabb * mfcbb + mfbab * mfbcb + mfbba * mfbbc)
- - c2o1 * (mfbca * mfbac + mfcba * mfabc + mfcab * mfacb)) / rho
- + (c4o1 * (mfbab * mfbab * mfaca + mfabb * mfabb * mfcaa + mfbba * mfbba * mfaac)
- + c2o1 * (mfcaa * mfaca * mfaac)
- + c16o1 * mfbba * mfbab * mfabb) / (rho * rho)
- - c1o3 * (mfacc + mfcac + mfcca) / rho
- - c1o9 * (mfcaa + mfaca + mfaac) / rho
- + (c2o1 * (mfbab * mfbab + mfabb * mfabb + mfbba * mfbba)
- + (mfaac * mfaca + mfaac * mfcaa + mfaca * mfcaa) + c1o3 *(mfaac + mfaca + mfcaa)) / (rho * rho) * c2o3
- + c1o27*((drho * drho - drho) / (rho*rho)));
-
-
-
-
- //2.
- // linear combinations
- real mxxPyyPzz = mfcaa + mfaca + mfaac;
- real mxxMyy = mfcaa - mfaca;
- real mxxMzz = mfcaa - mfaac;
-
- /////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
- //incl. correction (hat noch nicht so gut funktioniert...Optimierungsbedarf??)
- {
- real dxux = c1o2 * (-omega) *(mxxMyy + mxxMzz) + c1o2 * OxxPyyPzz * (mfaaa - mxxPyyPzz);
- real dyuy = dxux + omega * c3o2 * mxxMyy;
- real dzuz = dxux + omega * c3o2 * mxxMzz;
-
- //relax
- mxxPyyPzz += OxxPyyPzz*(mfaaa - mxxPyyPzz) - c3o1 * (c1o1 - c1o2 * OxxPyyPzz) * (vx2 * dxux + vy2 * dyuy + vz2 * dzuz);//-magicBulk*OxxPyyPzz;
- mxxMyy += omega * (-mxxMyy) - c3o1 * (c1o1 + c1o2 * (-omega)) * (vx2 * dxux - vy2 * dyuy);
- mxxMzz += omega * (-mxxMzz) - c3o1 * (c1o1 + c1o2 * (-omega)) * (vx2 * dxux - vz2 * dzuz);
-
- }
- /////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
-
- /////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
- ////no correction
- //mxxPyyPzz += OxxPyyPzz*(mfaaa - mxxPyyPzz);//-magicBulk*OxxPyyPzz;
- //mxxMyy += -(-omega) * (-mxxMyy);
- //mxxMzz += -(-omega) * (-mxxMzz);
- /////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
- mfabb += omega * (-mfabb);
- mfbab += omega * (-mfbab);
- mfbba += omega * (-mfbba);
-
- //////////////////////////////////////////////////////////////////////////
-
- // linear combinations back
- mfcaa = c1o3 * (mxxMyy + mxxMzz + mxxPyyPzz);
- mfaca = c1o3 * (-c2o1* mxxMyy + mxxMzz + mxxPyyPzz);
- mfaac = c1o3 * (mxxMyy - c2o1* mxxMzz + mxxPyyPzz);
-
- //3.
- // linear combinations
-
- real mxxyPyzz = mfcba + mfabc;
- real mxxyMyzz = mfcba - mfabc;
-
- real mxxzPyyz = mfcab + mfacb;
- real mxxzMyyz = mfcab - mfacb;
-
- real mxyyPxzz = mfbca + mfbac;
- real mxyyMxzz = mfbca - mfbac;
-
- //relax
- //////////////////////////////////////////////////////////////////////////
- mfbbb += OxyyMxzz * (-mfbbb);
- mxxyPyzz += OxyyPxzz * (-mxxyPyzz);
- mxxyMyzz += OxyyMxzz * (-mxxyMyzz);
- mxxzPyyz += OxyyPxzz * (-mxxzPyyz);
- mxxzMyyz += OxyyMxzz * (-mxxzMyyz);
- mxyyPxzz += OxyyPxzz * (-mxyyPxzz);
- mxyyMxzz += OxyyMxzz * (-mxyyMxzz);
- //////////////////////////////////////////////////////////////////////////
-
- mfcba = (mxxyMyzz + mxxyPyzz) * c1o2;
- mfabc = (-mxxyMyzz + mxxyPyzz) * c1o2;
- mfcab = (mxxzMyyz + mxxzPyyz) * c1o2;
- mfacb = (-mxxzMyyz + mxxzPyyz) * c1o2;
- mfbca = (mxyyMxzz + mxyyPxzz) * c1o2;
- mfbac = (-mxyyMxzz + mxyyPxzz) * c1o2;
-
- //4.
- //////////////////////////////////////////////////////////////////////////
- CUMacc += O4 * (-CUMacc);
- CUMcac += O4 * (-CUMcac);
- CUMcca += O4 * (-CUMcca);
-
- CUMbbc += O4 * (-CUMbbc);
- CUMbcb += O4 * (-CUMbcb);
- CUMcbb += O4 * (-CUMcbb);
- //////////////////////////////////////////////////////////////////////////
-
-
- //5.
- CUMbcc += O5 * (-CUMbcc);
- CUMcbc += O5 * (-CUMcbc);
- CUMccb += O5 * (-CUMccb);
-
- //6.
- CUMccc += O6 * (-CUMccc);
-
-
-
- //back cumulants to central moments
- //4.
- mfcbb = CUMcbb + ((mfcaa + c1o3) * mfabb + c2o1 * mfbba * mfbab) / rho;
- mfbcb = CUMbcb + ((mfaca + c1o3) * mfbab + c2o1 * mfbba * mfabb) / rho;
- mfbbc = CUMbbc + ((mfaac + c1o3) * mfbba + c2o1 * mfbab * mfabb) / rho;
-
- mfcca = CUMcca + (((mfcaa * mfaca + c2o1 * mfbba * mfbba) + c1o3 * (mfcaa + mfaca)) / rho - c1o9*(drho / rho));
- mfcac = CUMcac + (((mfcaa * mfaac + c2o1 * mfbab * mfbab) + c1o3 * (mfcaa + mfaac)) / rho - c1o9*(drho / rho));
- mfacc = CUMacc + (((mfaac * mfaca + c2o1 * mfabb * mfabb) + c1o3 * (mfaac + mfaca)) / rho - c1o9*(drho / rho));
-
- //5.
- mfbcc = CUMbcc + ((mfaac * mfbca + mfaca * mfbac + c4o1 * mfabb * mfbbb + c2o1 * (mfbab * mfacb + mfbba * mfabc)) + c1o3 * (mfbca + mfbac)) / rho;
- mfcbc = CUMcbc + ((mfaac * mfcba + mfcaa * mfabc + c4o1 * mfbab * mfbbb + c2o1 * (mfabb * mfcab + mfbba * mfbac)) + c1o3 * (mfcba + mfabc)) / rho;
- mfccb = CUMccb + ((mfcaa * mfacb + mfaca * mfcab + c4o1 * mfbba * mfbbb + c2o1 * (mfbab * mfbca + mfabb * mfcba)) + c1o3 * (mfacb + mfcab)) / rho;
-
- //6.
- mfccc = CUMccc - ((-c4o1 * mfbbb * mfbbb
- - (mfcaa * mfacc + mfaca * mfcac + mfaac * mfcca)
- - c4o1 * (mfabb * mfcbb + mfbab * mfbcb + mfbba * mfbbc)
- - c2o1 * (mfbca * mfbac + mfcba * mfabc + mfcab * mfacb)) / rho
- + (c4o1 * (mfbab * mfbab * mfaca + mfabb * mfabb * mfcaa + mfbba * mfbba * mfaac)
- + c2o1 * (mfcaa * mfaca * mfaac)
- + c16o1 * mfbba * mfbab * mfabb) / (rho * rho)
- - c1o3 * (mfacc + mfcac + mfcca) / rho
- - c1o9 * (mfcaa + mfaca + mfaac) / rho
- + (c2o1 * (mfbab * mfbab + mfabb * mfabb + mfbba * mfbba)
- + (mfaac * mfaca + mfaac * mfcaa + mfaca * mfcaa) + c1o3 *(mfaac + mfaca + mfcaa)) / (rho * rho) * c2o3
- + c1o27*((drho * drho - drho) / (rho*rho)));
-
- ////////////////////////////////////////////////////////////////////////////////////
- //the force be with you
- mfbaa = -mfbaa;
- mfaba = -mfaba;
- mfaab = -mfaab;
- ////////////////////////////////////////////////////////////////////////////////////
-
-
- ////////////////////////////////////////////////////////////////////////////////////
- //back
- ////////////////////////////////////////////////////////////////////////////////////
- VF::LBM::backwardChimera(mfaaa, mfaab, mfaac, vvz, vz2);
- VF::LBM::backwardChimera(mfaba, mfabb, mfabc, vvz, vz2);
- VF::LBM::backwardChimera(mfaca, mfacb, mfacc, vvz, vz2);
- VF::LBM::backwardChimera(mfbaa, mfbab, mfbac, vvz, vz2);
- VF::LBM::backwardChimera(mfbba, mfbbb, mfbbc, vvz, vz2);
- VF::LBM::backwardChimera(mfbca, mfbcb, mfbcc, vvz, vz2);
- VF::LBM::backwardChimera(mfcaa, mfcab, mfcac, vvz, vz2);
- VF::LBM::backwardChimera(mfcba, mfcbb, mfcbc, vvz, vz2);
- VF::LBM::backwardChimera(mfcca, mfccb, mfccc, vvz, vz2);
-
- VF::LBM::backwardChimera(mfaaa, mfaba, mfaca, vvy, vy2);
- VF::LBM::backwardChimera(mfaab, mfabb, mfacb, vvy, vy2);
- VF::LBM::backwardChimera(mfaac, mfabc, mfacc, vvy, vy2);
- VF::LBM::backwardChimera(mfbaa, mfbba, mfbca, vvy, vy2);
- VF::LBM::backwardChimera(mfbab, mfbbb, mfbcb, vvy, vy2);
- VF::LBM::backwardChimera(mfbac, mfbbc, mfbcc, vvy, vy2);
- VF::LBM::backwardChimera(mfcaa, mfcba, mfcca, vvy, vy2);
- VF::LBM::backwardChimera(mfcab, mfcbb, mfccb, vvy, vy2);
- VF::LBM::backwardChimera(mfcac, mfcbc, mfccc, vvy, vy2);
-
- VF::LBM::backwardChimera(mfaaa, mfbaa, mfcaa, vvx, vx2);
- VF::LBM::backwardChimera(mfaab, mfbab, mfcab, vvx, vx2);
- VF::LBM::backwardChimera(mfaac, mfbac, mfcac, vvx, vx2);
- VF::LBM::backwardChimera(mfaba, mfbba, mfcba, vvx, vx2);
- VF::LBM::backwardChimera(mfabb, mfbbb, mfcbb, vvx, vx2);
- VF::LBM::backwardChimera(mfabc, mfbbc, mfcbc, vvx, vx2);
- VF::LBM::backwardChimera(mfaca, mfbca, mfcca, vvx, vx2);
- VF::LBM::backwardChimera(mfacb, mfbcb, mfccb, vvx, vx2);
- VF::LBM::backwardChimera(mfacc, mfbcc, mfccc, vvx, vx2);
-
- ////////////////////////////////////////////////////////////////////////////////////
- mfcbb+=EQcbb;
- mfabb+=EQabb;
- mfbcb+=EQbcb;
- mfbab+=EQbab;
- mfbbc+=EQbbc;
- mfbba+=EQbba;
- mfccb+=EQccb;
- mfaab+=EQaab;
- mfcab+=EQcab;
- mfacb+=EQacb;
- mfcbc+=EQcbc;
- mfaba+=EQaba;
- mfcba+=EQcba;
- mfabc+=EQabc;
- mfbcc+=EQbcc;
- mfbaa+=EQbaa;
- mfbca+=EQbca;
- mfbac+=EQbac;
- mfbbb+=EQbbb;
- mfccc+=EQccc;
- mfaac+=EQaac;
- mfcac+=EQcac;
- mfacc+=EQacc;
- mfcca+=EQcca;
- mfaaa+=EQaaa;
- mfcaa+=EQcaa;
- mfaca+=EQaca;
-
-
- //////////////////////////////////////////////////////////////////////////////////////
- ////back
- //////////////////////////////////////////////////////////////////////////////////////
- ////mit 1, 0, 1/3, 0, 0, 0, 1/3, 0, 1/9 Konditionieren
- //////////////////////////////////////////////////////////////////////////////////////
- //// Z - Dir
- //backwardChimeraWithK(mfaaa, mfaab, mfaac, vvz, vz2, one);
- //////////////////////////////////////////////////////////////////////////////////////
- //backwardChimera(mfaba, mfabb, mfabc, vvz, vz2);
- //////////////////////////////////////////////////////////////////////////////////////
- //backwardChimeraWithK(mfaca, mfacb, mfacc, vvz, vz2, c1o3);
- //////////////////////////////////////////////////////////////////////////////////////
- //////////////////////////////////////////////////////////////////////////////////////
- //backwardChimera(mfbaa, mfbab, mfbac, vvz, vz2);
- ///////////b//////////////////////////////////////////////////////////////////////////
- //backwardChimera(mfbba, mfbbb, mfbbc, vvz, vz2);
- ///////////b//////////////////////////////////////////////////////////////////////////
- //backwardChimera(mfbca, mfbcb, mfbcc, vvz, vz2);
- //////////////////////////////////////////////////////////////////////////////////////
- //////////////////////////////////////////////////////////////////////////////////////
- //backwardChimeraWithK(mfcaa, mfcab, mfcac, vvz, vz2, c1o3);
- ///////////c//////////////////////////////////////////////////////////////////////////
- //backwardChimera(mfcba, mfcbb, mfcbc, vvz, vz2);
- ///////////c//////////////////////////////////////////////////////////////////////////
- //backwardChimeraWithK(mfcca, mfccb, mfccc, vvz, vz2, c1o9);
- //////////////////////////////////////////////////////////////////////////////////////
- //////////////////////////////////////////////////////////////////////////////////////
- ////mit 1/6, 2/3, 1/6, 0, 0, 0, 1/18, 2/9, 1/18 Konditionieren
- //////////////////////////////////////////////////////////////////////////////////////
- //// Y - Dir
- //backwardChimeraWithK(mfaaa, mfaba, mfaca, vvy, vy2, c1o6);
- //////////////////////////////////////////////////////////////////////////////////////
- //backwardChimeraWithK(mfaab, mfabb, mfacb, vvy, vy2, c2o3);
- //////////////////////////////////////////////////////////////////////////////////////
- //backwardChimeraWithK(mfaac, mfabc, mfacc, vvy, vy2, c1o6);
- //////////////////////////////////////////////////////////////////////////////////////
- //////////////////////////////////////////////////////////////////////////////////////
- //backwardChimera(mfbaa, mfbba, mfbca, vvz, vz2);
- ///////////b//////////////////////////////////////////////////////////////////////////
- //backwardChimera(mfbab, mfbbb, mfbcb, vvz, vz2);
- ///////////b//////////////////////////////////////////////////////////////////////////
- //backwardChimera(mfbac, mfbbc, mfbcc, vvz, vz2);
- //////////////////////////////////////////////////////////////////////////////////////
- //////////////////////////////////////////////////////////////////////////////////////
- //backwardChimeraWithK(mfcaa, mfcba, mfcca, vvy, vy2, c1o18);
- ///////////c//////////////////////////////////////////////////////////////////////////
- //backwardChimeraWithK(mfcab, mfcbb, mfccb, vvy, vy2, c2o9);
- ///////////c//////////////////////////////////////////////////////////////////////////
- //backwardChimeraWithK(mfcac, mfcbc, mfccc, vvy, vy2, c1o18);
- //////////////////////////////////////////////////////////////////////////////////////
- //////////////////////////////////////////////////////////////////////////////////////
- ////mit 1/36, 1/9, 1/36, 1/9, 4/9, 1/9, 1/36, 1/9, 1/36 Konditionieren
- //////////////////////////////////////////////////////////////////////////////////////
- //// X - Dir
- //backwardChimeraWithK(mfaaa, mfbaa, mfcaa, vvx, vx2, c1o36);
- //////////////////////////////////////////////////////////////////////////////////////
- //backwardChimeraWithK(mfaba, mfbba, mfcba, vvx, vx2, c1o9);
- //////////////////////////////////////////////////////////////////////////////////////
- //backwardChimeraWithK(mfaca, mfbca, mfcca, vvx, vx2, c1o36);
- //////////////////////////////////////////////////////////////////////////////////////
- //////////////////////////////////////////////////////////////////////////////////////
- //backwardChimeraWithK(mfaab, mfbab, mfcab, vvx, vx2, c1o9);
- /////////////b////////////////////////////////////////////////////////////////////////
- //backwardChimeraWithK(mfabb, mfbbb, mfcbb, vvx, vx2, c4o9);
- /////////////b////////////////////////////////////////////////////////////////////////
- //backwardChimeraWithK(mfacb, mfbcb, mfccb, vvx, vx2, c1o9);
- //////////////////////////////////////////////////////////////////////////////////////
- //////////////////////////////////////////////////////////////////////////////////////
- //backwardChimeraWithK(mfaac, mfbac, mfcac, vvx, vx2, c1o36);
- /////////////c////////////////////////////////////////////////////////////////////////
- //backwardChimeraWithK(mfabc, mfbbc, mfcbc, vvx, vx2, c1o9);
- /////////////c////////////////////////////////////////////////////////////////////////
- //backwardChimeraWithK(mfacc, mfbcc, mfccc, vvx, vx2, c1o36);
- //////////////////////////////////////////////////////////////////////////////////////
-
- //////////////////////////////////////////////////////////////////////////////////////
- real drhoPost =
- ((((mfccc + mfaaa) + (mfaca + mfcac)) + ((mfacc + mfcaa) + (mfaac + mfcca))) +
- (((mfbac + mfbca) + (mfbaa + mfbcc)) + ((mfabc + mfcba) + (mfaba + mfcbc)) + ((mfacb + mfcab) + (mfaab + mfccb))) +
- ((mfabb + mfcbb) + (mfbab + mfbcb) + (mfbba + mfbbc))) + mfbbb;
- mfbbb += drho - drhoPost;
- ////////////////////////////////////////////////////////////////////////////////////
- (D.f[dirE])[k] = mfabb;//(D.f[ dirE ])[ke ] = mfabb;// - c2over27 ; (D.f[ dirE ])[k ]
- (D.f[dirW])[kw] = mfcbb;//(D.f[ dirW ])[kw ] = mfcbb;// - c2over27 ; (D.f[ dirW ])[kw ]
- (D.f[dirN])[k] = mfbab;//(D.f[ dirN ])[kn ] = mfbab;// - c2over27 ; (D.f[ dirN ])[k ]
- (D.f[dirS])[ks] = mfbcb;//(D.f[ dirS ])[ks ] = mfbcb;// - c2over27 ; (D.f[ dirS ])[ks ]
- (D.f[dirT])[k] = mfbba;//(D.f[ dirT ])[kt ] = mfbba;// - c2over27 ; (D.f[ dirT ])[k ]
- (D.f[dirB])[kb] = mfbbc;//(D.f[ dirB ])[kb ] = mfbbc;// - c2over27 ; (D.f[ dirB ])[kb ]
- (D.f[dirNE])[k] = mfaab;//(D.f[ dirNE ])[kne ] = mfaab;// - c1over54 ; (D.f[ dirNE ])[k ]
- (D.f[dirSW])[ksw] = mfccb;//(D.f[ dirSW ])[ksw ] = mfccb;// - c1over54 ; (D.f[ dirSW ])[ksw ]
- (D.f[dirSE])[ks] = mfacb;//(D.f[ dirSE ])[kse ] = mfacb;// - c1over54 ; (D.f[ dirSE ])[ks ]
- (D.f[dirNW])[kw] = mfcab;//(D.f[ dirNW ])[knw ] = mfcab;// - c1over54 ; (D.f[ dirNW ])[kw ]
- (D.f[dirTE])[k] = mfaba;//(D.f[ dirTE ])[kte ] = mfaba;// - c1over54 ; (D.f[ dirTE ])[k ]
- (D.f[dirBW])[kbw] = mfcbc;//(D.f[ dirBW ])[kbw ] = mfcbc;// - c1over54 ; (D.f[ dirBW ])[kbw ]
- (D.f[dirBE])[kb] = mfabc;//(D.f[ dirBE ])[kbe ] = mfabc;// - c1over54 ; (D.f[ dirBE ])[kb ]
- (D.f[dirTW])[kw] = mfcba;//(D.f[ dirTW ])[ktw ] = mfcba;// - c1over54 ; (D.f[ dirTW ])[kw ]
- (D.f[dirTN])[k] = mfbaa;//(D.f[ dirTN ])[ktn ] = mfbaa;// - c1over54 ; (D.f[ dirTN ])[k ]
- (D.f[dirBS])[kbs] = mfbcc;//(D.f[ dirBS ])[kbs ] = mfbcc;// - c1over54 ; (D.f[ dirBS ])[kbs ]
- (D.f[dirBN])[kb] = mfbac;//(D.f[ dirBN ])[kbn ] = mfbac;// - c1over54 ; (D.f[ dirBN ])[kb ]
- (D.f[dirTS])[ks] = mfbca;//(D.f[ dirTS ])[kts ] = mfbca;// - c1over54 ; (D.f[ dirTS ])[ks ]
- (D.f[dirZERO])[k] = mfbbb;//(D.f[ dirZERO])[kzero] = mfbbb;// - c8over27 ; (D.f[ dirZERO])[k ]
- (D.f[dirTNE])[k] = mfaaa;//(D.f[ dirTNE ])[ktne ] = mfaaa;// - c1over216; (D.f[ dirTNE ])[k ]
- (D.f[dirTSE])[ks] = mfaca;//(D.f[ dirTSE ])[ktse ] = mfaca;// - c1over216; (D.f[ dirTSE ])[ks ]
- (D.f[dirBNE])[kb] = mfaac;//(D.f[ dirBNE ])[kbne ] = mfaac;// - c1over216; (D.f[ dirBNE ])[kb ]
- (D.f[dirBSE])[kbs] = mfacc;//(D.f[ dirBSE ])[kbse ] = mfacc;// - c1over216; (D.f[ dirBSE ])[kbs ]
- (D.f[dirTNW])[kw] = mfcaa;//(D.f[ dirTNW ])[ktnw ] = mfcaa;// - c1over216; (D.f[ dirTNW ])[kw ]
- (D.f[dirTSW])[ksw] = mfcca;//(D.f[ dirTSW ])[ktsw ] = mfcca;// - c1over216; (D.f[ dirTSW ])[ksw ]
- (D.f[dirBNW])[kbw] = mfcac;//(D.f[ dirBNW ])[kbnw ] = mfcac;// - c1over216; (D.f[ dirBNW ])[kbw ]
- (D.f[dirBSW])[kbsw] = mfccc;//(D.f[ dirBSW ])[kbsw ] = mfccc;// - c1over216; (D.f[ dirBSW ])[kbsw]
- ////////////////////////////////////////////////////////////////////////////////////
- }
- }
+ ////////////////////////////////////////////////////////////////////////////////
+ const unsigned x = threadIdx.x; // Globaler x-Index
+ const unsigned y = blockIdx.x; // Globaler y-Index
+ const unsigned z = blockIdx.y; // Globaler z-Index
+
+ const unsigned nx = blockDim.x;
+ const unsigned ny = gridDim.x;
+
+ const unsigned k = nx*(ny*z + y) + x;
+ //////////////////////////////////////////////////////////////////////////
+
+ if (k<size_Mat)
+ {
+ ////////////////////////////////////////////////////////////////////////////////
+ unsigned int BC;
+ BC = bcMatD[k];
+
+ if (BC >= GEO_FLUID/*(BC != GEO_SOLID) && (BC != GEO_VOID)*/)
+ {
+ Distributions27 D;
+ if (EvenOrOdd == true)
+ {
+ D.f[dirE] = &DDStart[dirE *size_Mat];
+ D.f[dirW] = &DDStart[dirW *size_Mat];
+ D.f[dirN] = &DDStart[dirN *size_Mat];
+ D.f[dirS] = &DDStart[dirS *size_Mat];
+ D.f[dirT] = &DDStart[dirT *size_Mat];
+ D.f[dirB] = &DDStart[dirB *size_Mat];
+ D.f[dirNE] = &DDStart[dirNE *size_Mat];
+ D.f[dirSW] = &DDStart[dirSW *size_Mat];
+ D.f[dirSE] = &DDStart[dirSE *size_Mat];
+ D.f[dirNW] = &DDStart[dirNW *size_Mat];
+ D.f[dirTE] = &DDStart[dirTE *size_Mat];
+ D.f[dirBW] = &DDStart[dirBW *size_Mat];
+ D.f[dirBE] = &DDStart[dirBE *size_Mat];
+ D.f[dirTW] = &DDStart[dirTW *size_Mat];
+ D.f[dirTN] = &DDStart[dirTN *size_Mat];
+ D.f[dirBS] = &DDStart[dirBS *size_Mat];
+ D.f[dirBN] = &DDStart[dirBN *size_Mat];
+ D.f[dirTS] = &DDStart[dirTS *size_Mat];
+ D.f[dirZERO] = &DDStart[dirZERO*size_Mat];
+ D.f[dirTNE] = &DDStart[dirTNE *size_Mat];
+ D.f[dirTSW] = &DDStart[dirTSW *size_Mat];
+ D.f[dirTSE] = &DDStart[dirTSE *size_Mat];
+ D.f[dirTNW] = &DDStart[dirTNW *size_Mat];
+ D.f[dirBNE] = &DDStart[dirBNE *size_Mat];
+ D.f[dirBSW] = &DDStart[dirBSW *size_Mat];
+ D.f[dirBSE] = &DDStart[dirBSE *size_Mat];
+ D.f[dirBNW] = &DDStart[dirBNW *size_Mat];
+ }
+ else
+ {
+ D.f[dirW] = &DDStart[dirE *size_Mat];
+ D.f[dirE] = &DDStart[dirW *size_Mat];
+ D.f[dirS] = &DDStart[dirN *size_Mat];
+ D.f[dirN] = &DDStart[dirS *size_Mat];
+ D.f[dirB] = &DDStart[dirT *size_Mat];
+ D.f[dirT] = &DDStart[dirB *size_Mat];
+ D.f[dirSW] = &DDStart[dirNE *size_Mat];
+ D.f[dirNE] = &DDStart[dirSW *size_Mat];
+ D.f[dirNW] = &DDStart[dirSE *size_Mat];
+ D.f[dirSE] = &DDStart[dirNW *size_Mat];
+ D.f[dirBW] = &DDStart[dirTE *size_Mat];
+ D.f[dirTE] = &DDStart[dirBW *size_Mat];
+ D.f[dirTW] = &DDStart[dirBE *size_Mat];
+ D.f[dirBE] = &DDStart[dirTW *size_Mat];
+ D.f[dirBS] = &DDStart[dirTN *size_Mat];
+ D.f[dirTN] = &DDStart[dirBS *size_Mat];
+ D.f[dirTS] = &DDStart[dirBN *size_Mat];
+ D.f[dirBN] = &DDStart[dirTS *size_Mat];
+ D.f[dirZERO] = &DDStart[dirZERO*size_Mat];
+ D.f[dirBSW] = &DDStart[dirTNE *size_Mat];
+ D.f[dirBNE] = &DDStart[dirTSW *size_Mat];
+ D.f[dirBNW] = &DDStart[dirTSE *size_Mat];
+ D.f[dirBSE] = &DDStart[dirTNW *size_Mat];
+ D.f[dirTSW] = &DDStart[dirBNE *size_Mat];
+ D.f[dirTNE] = &DDStart[dirBSW *size_Mat];
+ D.f[dirTNW] = &DDStart[dirBSE *size_Mat];
+ D.f[dirTSE] = &DDStart[dirBNW *size_Mat];
+ }
+
+ ////////////////////////////////////////////////////////////////////////////////
+ //index
+ //unsigned int kzero= k;
+ //unsigned int ke = k;
+ unsigned int kw = neighborX[k];
+ //unsigned int kn = k;
+ unsigned int ks = neighborY[k];
+ //unsigned int kt = k;
+ unsigned int kb = neighborZ[k];
+ unsigned int ksw = neighborY[kw];
+ //unsigned int kne = k;
+ //unsigned int kse = ks;
+ //unsigned int knw = kw;
+ unsigned int kbw = neighborZ[kw];
+ //unsigned int kte = k;
+ //unsigned int kbe = kb;
+ //unsigned int ktw = kw;
+ unsigned int kbs = neighborZ[ks];
+ //unsigned int ktn = k;
+ //unsigned int kbn = kb;
+ //unsigned int kts = ks;
+ //unsigned int ktse = ks;
+ //unsigned int kbnw = kbw;
+ //unsigned int ktnw = kw;
+ //unsigned int kbse = kbs;
+ //unsigned int ktsw = ksw;
+ //unsigned int kbne = kb;
+ //unsigned int ktne = k;
+ unsigned int kbsw = neighborZ[ksw];
+
+
+
+ //////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
+ real mfcbb = (D.f[dirE])[k];//[ke ];// + c2over27 ;(D.f[dirE ])[k ];//ke
+ real mfabb = (D.f[dirW])[kw];//[kw ];// + c2over27 ;(D.f[dirW ])[kw ];
+ real mfbcb = (D.f[dirN])[k];//[kn ];// + c2over27 ;(D.f[dirN ])[k ];//kn
+ real mfbab = (D.f[dirS])[ks];//[ks ];// + c2over27 ;(D.f[dirS ])[ks ];
+ real mfbbc = (D.f[dirT])[k];//[kt ];// + c2over27 ;(D.f[dirT ])[k ];//kt
+ real mfbba = (D.f[dirB])[kb];//[kb ];// + c2over27 ;(D.f[dirB ])[kb ];
+ real mfccb = (D.f[dirNE])[k];//[kne ];// + c1over54 ;(D.f[dirNE ])[k ];//kne
+ real mfaab = (D.f[dirSW])[ksw];//[ksw ];// + c1over54 ;(D.f[dirSW ])[ksw];
+ real mfcab = (D.f[dirSE])[ks];//[kse ];// + c1over54 ;(D.f[dirSE ])[ks ];//kse
+ real mfacb = (D.f[dirNW])[kw];//[knw ];// + c1over54 ;(D.f[dirNW ])[kw ];//knw
+ real mfcbc = (D.f[dirTE])[k];//[kte ];// + c1over54 ;(D.f[dirTE ])[k ];//kte
+ real mfaba = (D.f[dirBW])[kbw];//[kbw ];// + c1over54 ;(D.f[dirBW ])[kbw];
+ real mfcba = (D.f[dirBE])[kb];//[kbe ];// + c1over54 ;(D.f[dirBE ])[kb ];//kbe
+ real mfabc = (D.f[dirTW])[kw];//[ktw ];// + c1over54 ;(D.f[dirTW ])[kw ];//ktw
+ real mfbcc = (D.f[dirTN])[k];//[ktn ];// + c1over54 ;(D.f[dirTN ])[k ];//ktn
+ real mfbaa = (D.f[dirBS])[kbs];//[kbs ];// + c1over54 ;(D.f[dirBS ])[kbs];
+ real mfbca = (D.f[dirBN])[kb];//[kbn ];// + c1over54 ;(D.f[dirBN ])[kb ];//kbn
+ real mfbac = (D.f[dirTS])[ks];//[kts ];// + c1over54 ;(D.f[dirTS ])[ks ];//kts
+ real mfbbb = (D.f[dirZERO])[k];//[kzero];// + c8over27 ;(D.f[dirZERO])[k ];//kzero
+ real mfccc = (D.f[dirTNE])[k];//[ktne ];// + c1over216;(D.f[dirTNE ])[k ];//ktne
+ real mfaac = (D.f[dirTSW])[ksw];//[ktsw ];// + c1over216;(D.f[dirTSW ])[ksw];//ktsw
+ real mfcac = (D.f[dirTSE])[ks];//[ktse ];// + c1over216;(D.f[dirTSE ])[ks ];//ktse
+ real mfacc = (D.f[dirTNW])[kw];//[ktnw ];// + c1over216;(D.f[dirTNW ])[kw ];//ktnw
+ real mfcca = (D.f[dirBNE])[kb];//[kbne ];// + c1over216;(D.f[dirBNE ])[kb ];//kbne
+ real mfaaa = (D.f[dirBSW])[kbsw];//[kbsw ];// + c1over216;(D.f[dirBSW ])[kbsw];
+ real mfcaa = (D.f[dirBSE])[kbs];//[kbse ];// + c1over216;(D.f[dirBSE ])[kbs];//kbse
+ real mfaca = (D.f[dirBNW])[kbw];//[kbnw ];// + c1over216;(D.f[dirBNW ])[kbw];//kbnw
+ ////////////////////////////////////////////////////////////////////////////////////
+ real drho = ((((mfccc + mfaaa) + (mfaca + mfcac)) + ((mfacc + mfcaa) + (mfaac + mfcca))) +
+ (((mfbac + mfbca) + (mfbaa + mfbcc)) + ((mfabc + mfcba) + (mfaba + mfcbc)) + ((mfacb + mfcab) + (mfaab + mfccb))) +
+ ((mfabb + mfcbb) + (mfbab + mfbcb) + (mfbba + mfbbc))) + mfbbb;
+
+ real rho = c1o1 + drho;
+ ////////////////////////////////////////////////////////////////////////////////////
+ real vvx = ((((mfccc - mfaaa) + (mfcac - mfaca)) + ((mfcaa - mfacc) + (mfcca - mfaac))) +
+ (((mfcba - mfabc) + (mfcbc - mfaba)) + ((mfcab - mfacb) + (mfccb - mfaab))) +
+ (mfcbb - mfabb)) / rho;
+ real vvy = ((((mfccc - mfaaa) + (mfaca - mfcac)) + ((mfacc - mfcaa) + (mfcca - mfaac))) +
+ (((mfbca - mfbac) + (mfbcc - mfbaa)) + ((mfacb - mfcab) + (mfccb - mfaab))) +
+ (mfbcb - mfbab)) / rho;
+ real vvz = ((((mfccc - mfaaa) + (mfcac - mfaca)) + ((mfacc - mfcaa) + (mfaac - mfcca))) +
+ (((mfbac - mfbca) + (mfbcc - mfbaa)) + ((mfabc - mfcba) + (mfcbc - mfaba))) +
+ (mfbbc - mfbba)) / rho;
+ ////////////////////////////////////////////////////////////////////////////////////
+ //the force be with you
+ real fx = forces[0] / (pow((double)c2o1, (double)level)); //zero;//0.0032653/(pow(two,level)); //0.000000005;//(two/1600000.0) / 120.0; //
+ real fy = forces[1] / (pow((double)c2o1, (double)level)); //zero;
+ real fz = forces[2] / (pow((double)c2o1, (double)level)); //zero;
+ vvx += fx*c1o2;
+ vvy += fy*c1o2;
+ vvz += fz*c1o2;
+ ////////////////////////////////////////////////////////////////////////////////////
+ //real omega = omega_in;
+ ////////////////////////////////////////////////////////////////////////////////////
+ //fast
+ //real oMdrho = c1o1; // comp special
+ //real m0, m1, m2;
+ real vx2;
+ real vy2;
+ real vz2;
+ vx2 = vvx*vvx;
+ vy2 = vvy*vvy;
+ vz2 = vvz*vvz;
+ ////////////////////////////////////////////////////////////////////////////////////
+ //real wadjust;
+ //real qudricLimitP = c1o100;// * 0.0001f;
+ //real qudricLimitM = c1o100;// * 0.0001f;
+ //real qudricLimitD = c1o100;// * 0.001f;
+ //real s9 = minusomega;
+ //test
+ //s9 = 0.;
+
+
+ //////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
+ real EQcbb = c0o1;
+ real EQabb = c0o1;
+ real EQbcb = c0o1;
+ real EQbab = c0o1;
+ real EQbbc = c0o1;
+ real EQbba = c0o1;
+ real EQccb = c0o1;
+ real EQaab = c0o1;
+ real EQcab = c0o1;
+ real EQacb = c0o1;
+ real EQcbc = c0o1;
+ real EQaba = c0o1;
+ real EQcba = c0o1;
+ real EQabc = c0o1;
+ real EQbcc = c0o1;
+ real EQbaa = c0o1;
+ real EQbca = c0o1;
+ real EQbac = c0o1;
+ real EQbbb = c0o1;
+ real EQccc = drho * c1o27;
+ real EQaac = drho * c1o3;
+ real EQcac = drho * c1o9;
+ real EQacc = drho * c1o9;
+ real EQcca = drho * c1o9;
+ real EQaaa = drho;
+ real EQcaa = drho * c1o3;
+ real EQaca = drho * c1o3;
+ ////////////////////////////////////////////////////////////////////////////////////
+ VF::LBM::backwardChimeraWithK(EQaaa, EQaab, EQaac, vvz, vz2, c1o1);
+ VF::LBM::backwardChimeraWithK(EQaca, EQacb, EQacc, vvz, vz2, c1o3);
+ ///////////////////////////////////////////////////////////
+ EQcaa = EQaca; EQcab = EQacb; EQcac = EQacc;
+ ///////////////////////////////////////////////////////////
+ VF::LBM::backwardChimeraWithK(EQcca, EQccb, EQccc, vvz, vz2, c1o9);
+
+ VF::LBM::backwardChimeraWithK(EQaaa, EQaba, EQaca, vvy, vy2, c1o6);
+ VF::LBM::backwardChimeraWithK(EQaab, EQabb, EQacb, vvy, vy2, c2o3);
+ VF::LBM::backwardChimeraWithK(EQaac, EQabc, EQacc, vvy, vy2, c1o6);
+ VF::LBM::backwardChimeraWithK(EQcaa, EQcba, EQcca, vvy, vy2, c1o18);
+ VF::LBM::backwardChimeraWithK(EQcab, EQcbb, EQccb, vvy, vy2, c2o9);
+ VF::LBM::backwardChimeraWithK(EQcac, EQcbc, EQccc, vvy, vy2, c1o18);
+
+ VF::LBM::backwardChimeraWithK(EQaaa, EQbaa, EQcaa, vvx, vx2, c1o36);
+ VF::LBM::backwardChimeraWithK(EQaab, EQbab, EQcab, vvx, vx2, c1o9);
+ VF::LBM::backwardChimeraWithK(EQaac, EQbac, EQcac, vvx, vx2, c1o36);
+ VF::LBM::backwardChimeraWithK(EQaba, EQbba, EQcba, vvx, vx2, c1o9);
+ VF::LBM::backwardChimeraWithK(EQabb, EQbbb, EQcbb, vvx, vx2, c4o9);
+ VF::LBM::backwardChimeraWithK(EQabc, EQbbc, EQcbc, vvx, vx2, c1o9);
+ VF::LBM::backwardChimeraWithK(EQaca, EQbca, EQcca, vvx, vx2, c1o36);
+ VF::LBM::backwardChimeraWithK(EQacb, EQbcb, EQccb, vvx, vx2, c1o9);
+ VF::LBM::backwardChimeraWithK(EQacc, EQbcc, EQccc, vvx, vx2, c1o36);
+
+ ////////////////////////////////////////////////////////////////////////////////////
+ //Pre-condition
+ mfcbb -= EQcbb;
+ mfabb -= EQabb;
+ mfbcb -= EQbcb;
+ mfbab -= EQbab;
+ mfbbc -= EQbbc;
+ mfbba -= EQbba;
+ mfccb -= EQccb;
+ mfaab -= EQaab;
+ mfcab -= EQcab;
+ mfacb -= EQacb;
+ mfcbc -= EQcbc;
+ mfaba -= EQaba;
+ mfcba -= EQcba;
+ mfabc -= EQabc;
+ mfbcc -= EQbcc;
+ mfbaa -= EQbaa;
+ mfbca -= EQbca;
+ mfbac -= EQbac;
+ mfbbb -= EQbbb;
+ mfccc -= EQccc;
+ mfaac -= EQaac;
+ mfcac -= EQcac;
+ mfacc -= EQacc;
+ mfcca -= EQcca;
+ mfaaa -= EQaaa;
+ mfcaa -= EQcaa;
+ mfaca -= EQaca;
+
+ ////////////////////////////////////////////////////////////////////////////////////
+ //Hin
+ ////////////////////////////////////////////////////////////////////////////////////
+ VF::LBM::forwardChimera(mfaaa, mfaab, mfaac, vvz, vz2);
+ VF::LBM::forwardChimera(mfaba, mfabb, mfabc, vvz, vz2);
+ VF::LBM::forwardChimera(mfaca, mfacb, mfacc, vvz, vz2);
+ VF::LBM::forwardChimera(mfbaa, mfbab, mfbac, vvz, vz2);
+ VF::LBM::forwardChimera(mfbba, mfbbb, mfbbc, vvz, vz2);
+ VF::LBM::forwardChimera(mfbca, mfbcb, mfbcc, vvz, vz2);
+ VF::LBM::forwardChimera(mfcaa, mfcab, mfcac, vvz, vz2);
+ VF::LBM::forwardChimera(mfcba, mfcbb, mfcbc, vvz, vz2);
+ VF::LBM::forwardChimera(mfcca, mfccb, mfccc, vvz, vz2);
+
+ VF::LBM::forwardChimera(mfaaa, mfaba, mfaca, vvy, vy2);
+ VF::LBM::forwardChimera(mfaab, mfabb, mfacb, vvy, vy2);
+ VF::LBM::forwardChimera(mfaac, mfabc, mfacc, vvy, vy2);
+ VF::LBM::forwardChimera(mfbaa, mfbba, mfbca, vvy, vy2);
+ VF::LBM::forwardChimera(mfbab, mfbbb, mfbcb, vvy, vy2);
+ VF::LBM::forwardChimera(mfbac, mfbbc, mfbcc, vvy, vy2);
+ VF::LBM::forwardChimera(mfcaa, mfcba, mfcca, vvy, vy2);
+ VF::LBM::forwardChimera(mfcab, mfcbb, mfccb, vvy, vy2);
+ VF::LBM::forwardChimera(mfcac, mfcbc, mfccc, vvy, vy2);
+
+ VF::LBM::forwardChimera(mfaaa, mfbaa, mfcaa, vvx, vx2);
+ VF::LBM::forwardChimera(mfaab, mfbab, mfcab, vvx, vx2);
+ VF::LBM::forwardChimera(mfaac, mfbac, mfcac, vvx, vx2);
+ VF::LBM::forwardChimera(mfaba, mfbba, mfcba, vvx, vx2);
+ VF::LBM::forwardChimera(mfabb, mfbbb, mfcbb, vvx, vx2);
+ VF::LBM::forwardChimera(mfabc, mfbbc, mfcbc, vvx, vx2);
+ VF::LBM::forwardChimera(mfaca, mfbca, mfcca, vvx, vx2);
+ VF::LBM::forwardChimera(mfacb, mfbcb, mfccb, vvx, vx2);
+ VF::LBM::forwardChimera(mfacc, mfbcc, mfccc, vvx, vx2);
+
+ //////////////////////////////////////////////////////////////////////////////////////
+ ////Hin
+ //////////////////////////////////////////////////////////////////////////////////////
+ //// mit 1/36, 1/9, 1/36, 1/9, 4/9, 1/9, 1/36, 1/9, 1/36 Konditionieren
+ //////////////////////////////////////////////////////////////////////////////////////
+ //// Z - Dir
+ //forwardChimeraWithK(mfaaa, mfaab, mfaac, vvz, vz2, c1o36);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //forwardChimeraWithK(mfaba, mfabb, mfabc, vvz, vz2, c1o9);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //forwardChimeraWithK(mfaca, mfacb, mfacc, vvz, vz2, c1o36);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //////////////////////////////////////////////////////////////////////////////////////
+ //forwardChimeraWithK(mfbaa, mfbab, mfbac, vvz, vz2, c1o9);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //forwardChimeraWithK(mfbba, mfbbb, mfbbc, vvz, vz2, c4o9);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //forwardChimeraWithK(mfbca, mfbcb, mfbcc, vvz, vz2, c1o9);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //////////////////////////////////////////////////////////////////////////////////////
+ //forwardChimeraWithK(mfcaa, mfcab, mfcac, vvz, vz2, c1o36);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //forwardChimeraWithK(mfcba, mfcbb, mfcbc, vvz, vz2, c1o9);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //forwardChimeraWithK(mfcca, mfccb, mfccc, vvz, vz2, c1o36);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //////////////////////////////////////////////////////////////////////////////////////
+ //// mit 1/6, 0, 1/18, 2/3, 0, 2/9, 1/6, 0, 1/18 Konditionieren
+ //////////////////////////////////////////////////////////////////////////////////////
+ //// Y - Dir
+ //forwardChimeraWithK(mfaaa, mfaba, mfaca, vvy, vy2, c1o6);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //forwardChimera(mfaab, mfabb, mfacb, vvy, vy2);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //forwardChimeraWithK(mfaac, mfabc, mfacc, vvy, vy2, c1o18);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //////////////////////////////////////////////////////////////////////////////////////
+ //forwardChimeraWithK(mfbaa, mfbba, mfbca, vvy, vy2, c2o3);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //forwardChimera(mfbab, mfbbb, mfbcb, vvy, vy2);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //forwardChimeraWithK(mfbac, mfbbc, mfbcc, vvy, vy2, c2o9);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //////////////////////////////////////////////////////////////////////////////////////
+ //forwardChimeraWithK(mfcaa, mfcba, mfcca, vvy, vy2, c1o6);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //forwardChimera(mfcab, mfcbb, mfccb, vvy, vy2);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //forwardChimeraWithK(mfcac, mfcbc, mfccc, vvy, vy2, c1o18);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //////////////////////////////////////////////////////////////////////////////////////
+ //// mit 1, 0, 1/3, 0, 0, 0, 1/3, 0, 1/9 Konditionieren
+ //////////////////////////////////////////////////////////////////////////////////////
+ //// X - Dir
+ //forwardChimeraWithK(mfaaa, mfbaa, mfcaa, vvx, vx2, one);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //forwardChimera(mfaba, mfbba, mfcba, vvx, vx2);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //forwardChimeraWithK(mfaca, mfbca, mfcca, vvx, vx2, c1o3);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //////////////////////////////////////////////////////////////////////////////////////
+ //forwardChimera(mfaab, mfbab, mfcab, vvx, vx2);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //forwardChimera(mfabb, mfbbb, mfcbb, vvx, vx2);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //forwardChimera(mfacb, mfbcb, mfccb, vvx, vx2);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //////////////////////////////////////////////////////////////////////////////////////
+ //forwardChimeraWithK(mfaac, mfbac, mfcac, vvx, vx2, c1o3);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //forwardChimera(mfabc, mfbbc, mfcbc, vvx, vx2);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //forwardChimeraWithK(mfacc, mfbcc, mfccc, vvx, vx2, c1o9);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //////////////////////////////////////////////////////////////////////////////////////
+
+
+ ////////////////////////////////////////////////////////////////////////////////////
+ // Cumulants
+ ////////////////////////////////////////////////////////////////////////////////////
+ real OxxPyyPzz = c1o1; //omega; // one; //set the bulk viscosity one is high / two is very low and zero is (too) high
+
+ ////////////////////////////////////////////////////////////
+ //3.
+ //////////////////////////////
+ real OxyyPxzz = c1o1;
+ real OxyyMxzz = c1o1;
+ //real Oxyz = c1o1;
+ ////////////////////////////////////////////////////////////
+ //4.
+ //////////////////////////////
+ real O4 = c1o1;
+ ////////////////////////////////////////////////////////////
+ //5.
+ //////////////////////////////
+ real O5 = c1o1;
+ ////////////////////////////////////////////////////////////
+ //6.
+ //////////////////////////////
+ real O6 = c1o1;
+ ////////////////////////////////////////////////////////////
+
+
+ //central moments to cumulants
+ //4.
+ real CUMcbb = mfcbb - ((mfcaa + c1o3) * mfabb + c2o1 * mfbba * mfbab) / rho;
+ real CUMbcb = mfbcb - ((mfaca + c1o3) * mfbab + c2o1 * mfbba * mfabb) / rho;
+ real CUMbbc = mfbbc - ((mfaac + c1o3) * mfbba + c2o1 * mfbab * mfabb) / rho;
+
+ real CUMcca = mfcca - (((mfcaa * mfaca + c2o1 * mfbba * mfbba) + c1o3 * (mfcaa + mfaca)) / rho - c1o9*(drho / rho));
+ real CUMcac = mfcac - (((mfcaa * mfaac + c2o1 * mfbab * mfbab) + c1o3 * (mfcaa + mfaac)) / rho - c1o9*(drho / rho));
+ real CUMacc = mfacc - (((mfaac * mfaca + c2o1 * mfabb * mfabb) + c1o3 * (mfaac + mfaca)) / rho - c1o9*(drho / rho));
+
+ //5.
+ real CUMbcc = mfbcc - ((mfaac * mfbca + mfaca * mfbac + c4o1 * mfabb * mfbbb + c2o1 * (mfbab * mfacb + mfbba * mfabc)) + c1o3 * (mfbca + mfbac)) / rho;
+ real CUMcbc = mfcbc - ((mfaac * mfcba + mfcaa * mfabc + c4o1 * mfbab * mfbbb + c2o1 * (mfabb * mfcab + mfbba * mfbac)) + c1o3 * (mfcba + mfabc)) / rho;
+ real CUMccb = mfccb - ((mfcaa * mfacb + mfaca * mfcab + c4o1 * mfbba * mfbbb + c2o1 * (mfbab * mfbca + mfabb * mfcba)) + c1o3 * (mfacb + mfcab)) / rho;
+
+ //6.
+
+ real CUMccc = mfccc + ((-c4o1 * mfbbb * mfbbb
+ - (mfcaa * mfacc + mfaca * mfcac + mfaac * mfcca)
+ - c4o1 * (mfabb * mfcbb + mfbab * mfbcb + mfbba * mfbbc)
+ - c2o1 * (mfbca * mfbac + mfcba * mfabc + mfcab * mfacb)) / rho
+ + (c4o1 * (mfbab * mfbab * mfaca + mfabb * mfabb * mfcaa + mfbba * mfbba * mfaac)
+ + c2o1 * (mfcaa * mfaca * mfaac)
+ + c16o1 * mfbba * mfbab * mfabb) / (rho * rho)
+ - c1o3 * (mfacc + mfcac + mfcca) / rho
+ - c1o9 * (mfcaa + mfaca + mfaac) / rho
+ + (c2o1 * (mfbab * mfbab + mfabb * mfabb + mfbba * mfbba)
+ + (mfaac * mfaca + mfaac * mfcaa + mfaca * mfcaa) + c1o3 *(mfaac + mfaca + mfcaa)) / (rho * rho) * c2o3
+ + c1o27*((drho * drho - drho) / (rho*rho)));
+
+
+
+
+ //2.
+ // linear combinations
+ real mxxPyyPzz = mfcaa + mfaca + mfaac;
+ real mxxMyy = mfcaa - mfaca;
+ real mxxMzz = mfcaa - mfaac;
+
+ /////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
+ //incl. correction (hat noch nicht so gut funktioniert...Optimierungsbedarf??)
+ {
+ real dxux = c1o2 * (-omega) *(mxxMyy + mxxMzz) + c1o2 * OxxPyyPzz * (mfaaa - mxxPyyPzz);
+ real dyuy = dxux + omega * c3o2 * mxxMyy;
+ real dzuz = dxux + omega * c3o2 * mxxMzz;
+
+ //relax
+ mxxPyyPzz += OxxPyyPzz*(mfaaa - mxxPyyPzz) - c3o1 * (c1o1 - c1o2 * OxxPyyPzz) * (vx2 * dxux + vy2 * dyuy + vz2 * dzuz);//-magicBulk*OxxPyyPzz;
+ mxxMyy += omega * (-mxxMyy) - c3o1 * (c1o1 + c1o2 * (-omega)) * (vx2 * dxux - vy2 * dyuy);
+ mxxMzz += omega * (-mxxMzz) - c3o1 * (c1o1 + c1o2 * (-omega)) * (vx2 * dxux - vz2 * dzuz);
+
+ }
+ /////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
+
+ /////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
+ ////no correction
+ //mxxPyyPzz += OxxPyyPzz*(mfaaa - mxxPyyPzz);//-magicBulk*OxxPyyPzz;
+ //mxxMyy += -(-omega) * (-mxxMyy);
+ //mxxMzz += -(-omega) * (-mxxMzz);
+ /////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
+ mfabb += omega * (-mfabb);
+ mfbab += omega * (-mfbab);
+ mfbba += omega * (-mfbba);
+
+ //////////////////////////////////////////////////////////////////////////
+
+ // linear combinations back
+ mfcaa = c1o3 * (mxxMyy + mxxMzz + mxxPyyPzz);
+ mfaca = c1o3 * (-c2o1* mxxMyy + mxxMzz + mxxPyyPzz);
+ mfaac = c1o3 * (mxxMyy - c2o1* mxxMzz + mxxPyyPzz);
+
+ //3.
+ // linear combinations
+
+ real mxxyPyzz = mfcba + mfabc;
+ real mxxyMyzz = mfcba - mfabc;
+
+ real mxxzPyyz = mfcab + mfacb;
+ real mxxzMyyz = mfcab - mfacb;
+
+ real mxyyPxzz = mfbca + mfbac;
+ real mxyyMxzz = mfbca - mfbac;
+
+ //relax
+ //////////////////////////////////////////////////////////////////////////
+ mfbbb += OxyyMxzz * (-mfbbb);
+ mxxyPyzz += OxyyPxzz * (-mxxyPyzz);
+ mxxyMyzz += OxyyMxzz * (-mxxyMyzz);
+ mxxzPyyz += OxyyPxzz * (-mxxzPyyz);
+ mxxzMyyz += OxyyMxzz * (-mxxzMyyz);
+ mxyyPxzz += OxyyPxzz * (-mxyyPxzz);
+ mxyyMxzz += OxyyMxzz * (-mxyyMxzz);
+ //////////////////////////////////////////////////////////////////////////
+
+ mfcba = (mxxyMyzz + mxxyPyzz) * c1o2;
+ mfabc = (-mxxyMyzz + mxxyPyzz) * c1o2;
+ mfcab = (mxxzMyyz + mxxzPyyz) * c1o2;
+ mfacb = (-mxxzMyyz + mxxzPyyz) * c1o2;
+ mfbca = (mxyyMxzz + mxyyPxzz) * c1o2;
+ mfbac = (-mxyyMxzz + mxyyPxzz) * c1o2;
+
+ //4.
+ //////////////////////////////////////////////////////////////////////////
+ CUMacc += O4 * (-CUMacc);
+ CUMcac += O4 * (-CUMcac);
+ CUMcca += O4 * (-CUMcca);
+
+ CUMbbc += O4 * (-CUMbbc);
+ CUMbcb += O4 * (-CUMbcb);
+ CUMcbb += O4 * (-CUMcbb);
+ //////////////////////////////////////////////////////////////////////////
+
+
+ //5.
+ CUMbcc += O5 * (-CUMbcc);
+ CUMcbc += O5 * (-CUMcbc);
+ CUMccb += O5 * (-CUMccb);
+
+ //6.
+ CUMccc += O6 * (-CUMccc);
+
+
+
+ //back cumulants to central moments
+ //4.
+ mfcbb = CUMcbb + ((mfcaa + c1o3) * mfabb + c2o1 * mfbba * mfbab) / rho;
+ mfbcb = CUMbcb + ((mfaca + c1o3) * mfbab + c2o1 * mfbba * mfabb) / rho;
+ mfbbc = CUMbbc + ((mfaac + c1o3) * mfbba + c2o1 * mfbab * mfabb) / rho;
+
+ mfcca = CUMcca + (((mfcaa * mfaca + c2o1 * mfbba * mfbba) + c1o3 * (mfcaa + mfaca)) / rho - c1o9*(drho / rho));
+ mfcac = CUMcac + (((mfcaa * mfaac + c2o1 * mfbab * mfbab) + c1o3 * (mfcaa + mfaac)) / rho - c1o9*(drho / rho));
+ mfacc = CUMacc + (((mfaac * mfaca + c2o1 * mfabb * mfabb) + c1o3 * (mfaac + mfaca)) / rho - c1o9*(drho / rho));
+
+ //5.
+ mfbcc = CUMbcc + ((mfaac * mfbca + mfaca * mfbac + c4o1 * mfabb * mfbbb + c2o1 * (mfbab * mfacb + mfbba * mfabc)) + c1o3 * (mfbca + mfbac)) / rho;
+ mfcbc = CUMcbc + ((mfaac * mfcba + mfcaa * mfabc + c4o1 * mfbab * mfbbb + c2o1 * (mfabb * mfcab + mfbba * mfbac)) + c1o3 * (mfcba + mfabc)) / rho;
+ mfccb = CUMccb + ((mfcaa * mfacb + mfaca * mfcab + c4o1 * mfbba * mfbbb + c2o1 * (mfbab * mfbca + mfabb * mfcba)) + c1o3 * (mfacb + mfcab)) / rho;
+
+ //6.
+ mfccc = CUMccc - ((-c4o1 * mfbbb * mfbbb
+ - (mfcaa * mfacc + mfaca * mfcac + mfaac * mfcca)
+ - c4o1 * (mfabb * mfcbb + mfbab * mfbcb + mfbba * mfbbc)
+ - c2o1 * (mfbca * mfbac + mfcba * mfabc + mfcab * mfacb)) / rho
+ + (c4o1 * (mfbab * mfbab * mfaca + mfabb * mfabb * mfcaa + mfbba * mfbba * mfaac)
+ + c2o1 * (mfcaa * mfaca * mfaac)
+ + c16o1 * mfbba * mfbab * mfabb) / (rho * rho)
+ - c1o3 * (mfacc + mfcac + mfcca) / rho
+ - c1o9 * (mfcaa + mfaca + mfaac) / rho
+ + (c2o1 * (mfbab * mfbab + mfabb * mfabb + mfbba * mfbba)
+ + (mfaac * mfaca + mfaac * mfcaa + mfaca * mfcaa) + c1o3 *(mfaac + mfaca + mfcaa)) / (rho * rho) * c2o3
+ + c1o27*((drho * drho - drho) / (rho*rho)));
+
+ ////////////////////////////////////////////////////////////////////////////////////
+ //the force be with you
+ mfbaa = -mfbaa;
+ mfaba = -mfaba;
+ mfaab = -mfaab;
+ ////////////////////////////////////////////////////////////////////////////////////
+
+
+ ////////////////////////////////////////////////////////////////////////////////////
+ //back
+ ////////////////////////////////////////////////////////////////////////////////////
+ VF::LBM::backwardChimera(mfaaa, mfaab, mfaac, vvz, vz2);
+ VF::LBM::backwardChimera(mfaba, mfabb, mfabc, vvz, vz2);
+ VF::LBM::backwardChimera(mfaca, mfacb, mfacc, vvz, vz2);
+ VF::LBM::backwardChimera(mfbaa, mfbab, mfbac, vvz, vz2);
+ VF::LBM::backwardChimera(mfbba, mfbbb, mfbbc, vvz, vz2);
+ VF::LBM::backwardChimera(mfbca, mfbcb, mfbcc, vvz, vz2);
+ VF::LBM::backwardChimera(mfcaa, mfcab, mfcac, vvz, vz2);
+ VF::LBM::backwardChimera(mfcba, mfcbb, mfcbc, vvz, vz2);
+ VF::LBM::backwardChimera(mfcca, mfccb, mfccc, vvz, vz2);
+
+ VF::LBM::backwardChimera(mfaaa, mfaba, mfaca, vvy, vy2);
+ VF::LBM::backwardChimera(mfaab, mfabb, mfacb, vvy, vy2);
+ VF::LBM::backwardChimera(mfaac, mfabc, mfacc, vvy, vy2);
+ VF::LBM::backwardChimera(mfbaa, mfbba, mfbca, vvy, vy2);
+ VF::LBM::backwardChimera(mfbab, mfbbb, mfbcb, vvy, vy2);
+ VF::LBM::backwardChimera(mfbac, mfbbc, mfbcc, vvy, vy2);
+ VF::LBM::backwardChimera(mfcaa, mfcba, mfcca, vvy, vy2);
+ VF::LBM::backwardChimera(mfcab, mfcbb, mfccb, vvy, vy2);
+ VF::LBM::backwardChimera(mfcac, mfcbc, mfccc, vvy, vy2);
+
+ VF::LBM::backwardChimera(mfaaa, mfbaa, mfcaa, vvx, vx2);
+ VF::LBM::backwardChimera(mfaab, mfbab, mfcab, vvx, vx2);
+ VF::LBM::backwardChimera(mfaac, mfbac, mfcac, vvx, vx2);
+ VF::LBM::backwardChimera(mfaba, mfbba, mfcba, vvx, vx2);
+ VF::LBM::backwardChimera(mfabb, mfbbb, mfcbb, vvx, vx2);
+ VF::LBM::backwardChimera(mfabc, mfbbc, mfcbc, vvx, vx2);
+ VF::LBM::backwardChimera(mfaca, mfbca, mfcca, vvx, vx2);
+ VF::LBM::backwardChimera(mfacb, mfbcb, mfccb, vvx, vx2);
+ VF::LBM::backwardChimera(mfacc, mfbcc, mfccc, vvx, vx2);
+
+ ////////////////////////////////////////////////////////////////////////////////////
+ mfcbb+=EQcbb;
+ mfabb+=EQabb;
+ mfbcb+=EQbcb;
+ mfbab+=EQbab;
+ mfbbc+=EQbbc;
+ mfbba+=EQbba;
+ mfccb+=EQccb;
+ mfaab+=EQaab;
+ mfcab+=EQcab;
+ mfacb+=EQacb;
+ mfcbc+=EQcbc;
+ mfaba+=EQaba;
+ mfcba+=EQcba;
+ mfabc+=EQabc;
+ mfbcc+=EQbcc;
+ mfbaa+=EQbaa;
+ mfbca+=EQbca;
+ mfbac+=EQbac;
+ mfbbb+=EQbbb;
+ mfccc+=EQccc;
+ mfaac+=EQaac;
+ mfcac+=EQcac;
+ mfacc+=EQacc;
+ mfcca+=EQcca;
+ mfaaa+=EQaaa;
+ mfcaa+=EQcaa;
+ mfaca+=EQaca;
+
+
+ //////////////////////////////////////////////////////////////////////////////////////
+ ////back
+ //////////////////////////////////////////////////////////////////////////////////////
+ ////mit 1, 0, 1/3, 0, 0, 0, 1/3, 0, 1/9 Konditionieren
+ //////////////////////////////////////////////////////////////////////////////////////
+ //// Z - Dir
+ //backwardChimeraWithK(mfaaa, mfaab, mfaac, vvz, vz2, one);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //backwardChimera(mfaba, mfabb, mfabc, vvz, vz2);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //backwardChimeraWithK(mfaca, mfacb, mfacc, vvz, vz2, c1o3);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //////////////////////////////////////////////////////////////////////////////////////
+ //backwardChimera(mfbaa, mfbab, mfbac, vvz, vz2);
+ ///////////b//////////////////////////////////////////////////////////////////////////
+ //backwardChimera(mfbba, mfbbb, mfbbc, vvz, vz2);
+ ///////////b//////////////////////////////////////////////////////////////////////////
+ //backwardChimera(mfbca, mfbcb, mfbcc, vvz, vz2);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //////////////////////////////////////////////////////////////////////////////////////
+ //backwardChimeraWithK(mfcaa, mfcab, mfcac, vvz, vz2, c1o3);
+ ///////////c//////////////////////////////////////////////////////////////////////////
+ //backwardChimera(mfcba, mfcbb, mfcbc, vvz, vz2);
+ ///////////c//////////////////////////////////////////////////////////////////////////
+ //backwardChimeraWithK(mfcca, mfccb, mfccc, vvz, vz2, c1o9);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //////////////////////////////////////////////////////////////////////////////////////
+ ////mit 1/6, 2/3, 1/6, 0, 0, 0, 1/18, 2/9, 1/18 Konditionieren
+ //////////////////////////////////////////////////////////////////////////////////////
+ //// Y - Dir
+ //backwardChimeraWithK(mfaaa, mfaba, mfaca, vvy, vy2, c1o6);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //backwardChimeraWithK(mfaab, mfabb, mfacb, vvy, vy2, c2o3);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //backwardChimeraWithK(mfaac, mfabc, mfacc, vvy, vy2, c1o6);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //////////////////////////////////////////////////////////////////////////////////////
+ //backwardChimera(mfbaa, mfbba, mfbca, vvz, vz2);
+ ///////////b//////////////////////////////////////////////////////////////////////////
+ //backwardChimera(mfbab, mfbbb, mfbcb, vvz, vz2);
+ ///////////b//////////////////////////////////////////////////////////////////////////
+ //backwardChimera(mfbac, mfbbc, mfbcc, vvz, vz2);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //////////////////////////////////////////////////////////////////////////////////////
+ //backwardChimeraWithK(mfcaa, mfcba, mfcca, vvy, vy2, c1o18);
+ ///////////c//////////////////////////////////////////////////////////////////////////
+ //backwardChimeraWithK(mfcab, mfcbb, mfccb, vvy, vy2, c2o9);
+ ///////////c//////////////////////////////////////////////////////////////////////////
+ //backwardChimeraWithK(mfcac, mfcbc, mfccc, vvy, vy2, c1o18);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //////////////////////////////////////////////////////////////////////////////////////
+ ////mit 1/36, 1/9, 1/36, 1/9, 4/9, 1/9, 1/36, 1/9, 1/36 Konditionieren
+ //////////////////////////////////////////////////////////////////////////////////////
+ //// X - Dir
+ //backwardChimeraWithK(mfaaa, mfbaa, mfcaa, vvx, vx2, c1o36);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //backwardChimeraWithK(mfaba, mfbba, mfcba, vvx, vx2, c1o9);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //backwardChimeraWithK(mfaca, mfbca, mfcca, vvx, vx2, c1o36);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //////////////////////////////////////////////////////////////////////////////////////
+ //backwardChimeraWithK(mfaab, mfbab, mfcab, vvx, vx2, c1o9);
+ /////////////b////////////////////////////////////////////////////////////////////////
+ //backwardChimeraWithK(mfabb, mfbbb, mfcbb, vvx, vx2, c4o9);
+ /////////////b////////////////////////////////////////////////////////////////////////
+ //backwardChimeraWithK(mfacb, mfbcb, mfccb, vvx, vx2, c1o9);
+ //////////////////////////////////////////////////////////////////////////////////////
+ //////////////////////////////////////////////////////////////////////////////////////
+ //backwardChimeraWithK(mfaac, mfbac, mfcac, vvx, vx2, c1o36);
+ /////////////c////////////////////////////////////////////////////////////////////////
+ //backwardChimeraWithK(mfabc, mfbbc, mfcbc, vvx, vx2, c1o9);
+ /////////////c////////////////////////////////////////////////////////////////////////
+ //backwardChimeraWithK(mfacc, mfbcc, mfccc, vvx, vx2, c1o36);
+ //////////////////////////////////////////////////////////////////////////////////////
+
+ //////////////////////////////////////////////////////////////////////////////////////
+ real drhoPost =
+ ((((mfccc + mfaaa) + (mfaca + mfcac)) + ((mfacc + mfcaa) + (mfaac + mfcca))) +
+ (((mfbac + mfbca) + (mfbaa + mfbcc)) + ((mfabc + mfcba) + (mfaba + mfcbc)) + ((mfacb + mfcab) + (mfaab + mfccb))) +
+ ((mfabb + mfcbb) + (mfbab + mfbcb) + (mfbba + mfbbc))) + mfbbb;
+ mfbbb += drho - drhoPost;
+ ////////////////////////////////////////////////////////////////////////////////////
+ (D.f[dirE])[k] = mfabb;//(D.f[ dirE ])[ke ] = mfabb;// - c2over27 ; (D.f[ dirE ])[k ]
+ (D.f[dirW])[kw] = mfcbb;//(D.f[ dirW ])[kw ] = mfcbb;// - c2over27 ; (D.f[ dirW ])[kw ]
+ (D.f[dirN])[k] = mfbab;//(D.f[ dirN ])[kn ] = mfbab;// - c2over27 ; (D.f[ dirN ])[k ]
+ (D.f[dirS])[ks] = mfbcb;//(D.f[ dirS ])[ks ] = mfbcb;// - c2over27 ; (D.f[ dirS ])[ks ]
+ (D.f[dirT])[k] = mfbba;//(D.f[ dirT ])[kt ] = mfbba;// - c2over27 ; (D.f[ dirT ])[k ]
+ (D.f[dirB])[kb] = mfbbc;//(D.f[ dirB ])[kb ] = mfbbc;// - c2over27 ; (D.f[ dirB ])[kb ]
+ (D.f[dirNE])[k] = mfaab;//(D.f[ dirNE ])[kne ] = mfaab;// - c1over54 ; (D.f[ dirNE ])[k ]
+ (D.f[dirSW])[ksw] = mfccb;//(D.f[ dirSW ])[ksw ] = mfccb;// - c1over54 ; (D.f[ dirSW ])[ksw ]
+ (D.f[dirSE])[ks] = mfacb;//(D.f[ dirSE ])[kse ] = mfacb;// - c1over54 ; (D.f[ dirSE ])[ks ]
+ (D.f[dirNW])[kw] = mfcab;//(D.f[ dirNW ])[knw ] = mfcab;// - c1over54 ; (D.f[ dirNW ])[kw ]
+ (D.f[dirTE])[k] = mfaba;//(D.f[ dirTE ])[kte ] = mfaba;// - c1over54 ; (D.f[ dirTE ])[k ]
+ (D.f[dirBW])[kbw] = mfcbc;//(D.f[ dirBW ])[kbw ] = mfcbc;// - c1over54 ; (D.f[ dirBW ])[kbw ]
+ (D.f[dirBE])[kb] = mfabc;//(D.f[ dirBE ])[kbe ] = mfabc;// - c1over54 ; (D.f[ dirBE ])[kb ]
+ (D.f[dirTW])[kw] = mfcba;//(D.f[ dirTW ])[ktw ] = mfcba;// - c1over54 ; (D.f[ dirTW ])[kw ]
+ (D.f[dirTN])[k] = mfbaa;//(D.f[ dirTN ])[ktn ] = mfbaa;// - c1over54 ; (D.f[ dirTN ])[k ]
+ (D.f[dirBS])[kbs] = mfbcc;//(D.f[ dirBS ])[kbs ] = mfbcc;// - c1over54 ; (D.f[ dirBS ])[kbs ]
+ (D.f[dirBN])[kb] = mfbac;//(D.f[ dirBN ])[kbn ] = mfbac;// - c1over54 ; (D.f[ dirBN ])[kb ]
+ (D.f[dirTS])[ks] = mfbca;//(D.f[ dirTS ])[kts ] = mfbca;// - c1over54 ; (D.f[ dirTS ])[ks ]
+ (D.f[dirZERO])[k] = mfbbb;//(D.f[ dirZERO])[kzero] = mfbbb;// - c8over27 ; (D.f[ dirZERO])[k ]
+ (D.f[dirTNE])[k] = mfaaa;//(D.f[ dirTNE ])[ktne ] = mfaaa;// - c1over216; (D.f[ dirTNE ])[k ]
+ (D.f[dirTSE])[ks] = mfaca;//(D.f[ dirTSE ])[ktse ] = mfaca;// - c1over216; (D.f[ dirTSE ])[ks ]
+ (D.f[dirBNE])[kb] = mfaac;//(D.f[ dirBNE ])[kbne ] = mfaac;// - c1over216; (D.f[ dirBNE ])[kb ]
+ (D.f[dirBSE])[kbs] = mfacc;//(D.f[ dirBSE ])[kbse ] = mfacc;// - c1over216; (D.f[ dirBSE ])[kbs ]
+ (D.f[dirTNW])[kw] = mfcaa;//(D.f[ dirTNW ])[ktnw ] = mfcaa;// - c1over216; (D.f[ dirTNW ])[kw ]
+ (D.f[dirTSW])[ksw] = mfcca;//(D.f[ dirTSW ])[ktsw ] = mfcca;// - c1over216; (D.f[ dirTSW ])[ksw ]
+ (D.f[dirBNW])[kbw] = mfcac;//(D.f[ dirBNW ])[kbnw ] = mfcac;// - c1over216; (D.f[ dirBNW ])[kbw ]
+ (D.f[dirBSW])[kbsw] = mfccc;//(D.f[ dirBSW ])[kbsw ] = mfccc;// - c1over216; (D.f[ dirBSW ])[kbsw]
+ ////////////////////////////////////////////////////////////////////////////////////
+ }
+ }
}
////////////////////////////////////////////////////////////////////////////////
@@ -1728,483 +2577,483 @@ extern "C" __global__ void Cumulant_One_preconditioned_chim_Comp_SP_27(
////////////////////////////////////////////////////////////////////////////////
extern "C" __global__ void Cumulant_One_chim_Comp_SP_27(
- real omega,
- unsigned int* bcMatD,
- unsigned int* neighborX,
- unsigned int* neighborY,
- unsigned int* neighborZ,
- real* DDStart,
- int size_Mat,
- int level,
- real* forces,
- bool EvenOrOdd)
+ real omega,
+ unsigned int* bcMatD,
+ unsigned int* neighborX,
+ unsigned int* neighborY,
+ unsigned int* neighborZ,
+ real* DDStart,
+ int size_Mat,
+ int level,
+ real* forces,
+ bool EvenOrOdd)
{
- ////////////////////////////////////////////////////////////////////////////////
- const unsigned x = threadIdx.x; // Globaler x-Index
- const unsigned y = blockIdx.x; // Globaler y-Index
- const unsigned z = blockIdx.y; // Globaler z-Index
-
- const unsigned nx = blockDim.x;
- const unsigned ny = gridDim.x;
-
- const unsigned k = nx*(ny*z + y) + x;
- //////////////////////////////////////////////////////////////////////////
-
- if (k<size_Mat)
- {
- ////////////////////////////////////////////////////////////////////////////////
- unsigned int BC;
- BC = bcMatD[k];
-
- if (BC >= GEO_FLUID/*(BC != GEO_SOLID) && (BC != GEO_VOID)*/)
- {
- Distributions27 D;
- if (EvenOrOdd == true)
- {
- D.f[dirE ] = &DDStart[dirE *size_Mat];
- D.f[dirW ] = &DDStart[dirW *size_Mat];
- D.f[dirN ] = &DDStart[dirN *size_Mat];
- D.f[dirS ] = &DDStart[dirS *size_Mat];
- D.f[dirT ] = &DDStart[dirT *size_Mat];
- D.f[dirB ] = &DDStart[dirB *size_Mat];
- D.f[dirNE ] = &DDStart[dirNE *size_Mat];
- D.f[dirSW ] = &DDStart[dirSW *size_Mat];
- D.f[dirSE ] = &DDStart[dirSE *size_Mat];
- D.f[dirNW ] = &DDStart[dirNW *size_Mat];
- D.f[dirTE ] = &DDStart[dirTE *size_Mat];
- D.f[dirBW ] = &DDStart[dirBW *size_Mat];
- D.f[dirBE ] = &DDStart[dirBE *size_Mat];
- D.f[dirTW ] = &DDStart[dirTW *size_Mat];
- D.f[dirTN ] = &DDStart[dirTN *size_Mat];
- D.f[dirBS ] = &DDStart[dirBS *size_Mat];
- D.f[dirBN ] = &DDStart[dirBN *size_Mat];
- D.f[dirTS ] = &DDStart[dirTS *size_Mat];
- D.f[dirZERO] = &DDStart[dirZERO*size_Mat];
- D.f[dirTNE ] = &DDStart[dirTNE *size_Mat];
- D.f[dirTSW ] = &DDStart[dirTSW *size_Mat];
- D.f[dirTSE ] = &DDStart[dirTSE *size_Mat];
- D.f[dirTNW ] = &DDStart[dirTNW *size_Mat];
- D.f[dirBNE ] = &DDStart[dirBNE *size_Mat];
- D.f[dirBSW ] = &DDStart[dirBSW *size_Mat];
- D.f[dirBSE ] = &DDStart[dirBSE *size_Mat];
- D.f[dirBNW ] = &DDStart[dirBNW *size_Mat];
- }
- else
- {
- D.f[dirW ] = &DDStart[dirE *size_Mat];
- D.f[dirE ] = &DDStart[dirW *size_Mat];
- D.f[dirS ] = &DDStart[dirN *size_Mat];
- D.f[dirN ] = &DDStart[dirS *size_Mat];
- D.f[dirB ] = &DDStart[dirT *size_Mat];
- D.f[dirT ] = &DDStart[dirB *size_Mat];
- D.f[dirSW ] = &DDStart[dirNE *size_Mat];
- D.f[dirNE ] = &DDStart[dirSW *size_Mat];
- D.f[dirNW ] = &DDStart[dirSE *size_Mat];
- D.f[dirSE ] = &DDStart[dirNW *size_Mat];
- D.f[dirBW ] = &DDStart[dirTE *size_Mat];
- D.f[dirTE ] = &DDStart[dirBW *size_Mat];
- D.f[dirTW ] = &DDStart[dirBE *size_Mat];
- D.f[dirBE ] = &DDStart[dirTW *size_Mat];
- D.f[dirBS ] = &DDStart[dirTN *size_Mat];
- D.f[dirTN ] = &DDStart[dirBS *size_Mat];
- D.f[dirTS ] = &DDStart[dirBN *size_Mat];
- D.f[dirBN ] = &DDStart[dirTS *size_Mat];
- D.f[dirZERO] = &DDStart[dirZERO*size_Mat];
- D.f[dirBSW ] = &DDStart[dirTNE *size_Mat];
- D.f[dirBNE ] = &DDStart[dirTSW *size_Mat];
- D.f[dirBNW ] = &DDStart[dirTSE *size_Mat];
- D.f[dirBSE ] = &DDStart[dirTNW *size_Mat];
- D.f[dirTSW ] = &DDStart[dirBNE *size_Mat];
- D.f[dirTNE ] = &DDStart[dirBSW *size_Mat];
- D.f[dirTNW ] = &DDStart[dirBSE *size_Mat];
- D.f[dirTSE ] = &DDStart[dirBNW *size_Mat];
- }
- ////////////////////////////////////////////////////////////////////////////////
- //index
- unsigned int kw = neighborX[k];
- unsigned int ks = neighborY[k];
- unsigned int kb = neighborZ[k];
- unsigned int ksw = neighborY[kw];
- unsigned int kbw = neighborZ[kw];
- unsigned int kbs = neighborZ[ks];
- unsigned int kbsw = neighborZ[ksw];
- ////////////////////////////////////////////////////////////////////////////////////
- real mfcbb = (D.f[dirE ])[k ];
- real mfabb = (D.f[dirW ])[kw ];
- real mfbcb = (D.f[dirN ])[k ];
- real mfbab = (D.f[dirS ])[ks ];
- real mfbbc = (D.f[dirT ])[k ];
- real mfbba = (D.f[dirB ])[kb ];
- real mfccb = (D.f[dirNE ])[k ];
- real mfaab = (D.f[dirSW ])[ksw ];
- real mfcab = (D.f[dirSE ])[ks ];
- real mfacb = (D.f[dirNW ])[kw ];
- real mfcbc = (D.f[dirTE ])[k ];
- real mfaba = (D.f[dirBW ])[kbw ];
- real mfcba = (D.f[dirBE ])[kb ];
- real mfabc = (D.f[dirTW ])[kw ];
- real mfbcc = (D.f[dirTN ])[k ];
- real mfbaa = (D.f[dirBS ])[kbs ];
- real mfbca = (D.f[dirBN ])[kb ];
- real mfbac = (D.f[dirTS ])[ks ];
- real mfbbb = (D.f[dirZERO])[k ];
- real mfccc = (D.f[dirTNE ])[k ];
- real mfaac = (D.f[dirTSW ])[ksw ];
- real mfcac = (D.f[dirTSE ])[ks ];
- real mfacc = (D.f[dirTNW ])[kw ];
- real mfcca = (D.f[dirBNE ])[kb ];
- real mfaaa = (D.f[dirBSW ])[kbsw];
- real mfcaa = (D.f[dirBSE ])[kbs ];
- real mfaca = (D.f[dirBNW ])[kbw ];
- ////////////////////////////////////////////////////////////////////////////////////
- real drho = ((((mfccc + mfaaa) + (mfaca + mfcac)) + ((mfacc + mfcaa) + (mfaac + mfcca))) +
- (((mfbac + mfbca) + (mfbaa + mfbcc)) + ((mfabc + mfcba) + (mfaba + mfcbc)) + ((mfacb + mfcab) + (mfaab + mfccb))) +
- ((mfabb + mfcbb) + (mfbab + mfbcb) + (mfbba + mfbbc))) + mfbbb;
-
- real rho = c1o1 + drho;
- real OOrho = c1o1 / rho;
- ////////////////////////////////////////////////////////////////////////////////////
- real vvx = ((((mfccc - mfaaa) + (mfcac - mfaca)) + ((mfcaa - mfacc) + (mfcca - mfaac))) +
- (((mfcba - mfabc) + (mfcbc - mfaba)) + ((mfcab - mfacb) + (mfccb - mfaab))) +
- (mfcbb - mfabb)) * OOrho;
- real vvy = ((((mfccc - mfaaa) + (mfaca - mfcac)) + ((mfacc - mfcaa) + (mfcca - mfaac))) +
- (((mfbca - mfbac) + (mfbcc - mfbaa)) + ((mfacb - mfcab) + (mfccb - mfaab))) +
- (mfbcb - mfbab)) * OOrho;
- real vvz = ((((mfccc - mfaaa) + (mfcac - mfaca)) + ((mfacc - mfcaa) + (mfaac - mfcca))) +
- (((mfbac - mfbca) + (mfbcc - mfbaa)) + ((mfabc - mfcba) + (mfcbc - mfaba))) +
- (mfbbc - mfbba)) * OOrho;
- ////////////////////////////////////////////////////////////////////////////////////
- //the force be with you
- real fx = forces[0] / (pow((double)c2o1, (double)level)); //zero;//0.0032653/(pow(two,level)); //0.000000005;//(two/1600000.0) / 120.0; //
- real fy = forces[1] / (pow((double)c2o1, (double)level)); //zero;
- real fz = forces[2] / (pow((double)c2o1, (double)level)); //zero;
- vvx += fx*c1o2;
- vvy += fy*c1o2;
- vvz += fz*c1o2;
- ////////////////////////////////////////////////////////////////////////////////////
- //real omega = omega_in;
- ////////////////////////////////////////////////////////////////////////////////////
- //fast
- //real oMdrho = c1o1; // comp special
- //real m0, m1, m2;
- real vx2;
- real vy2;
- real vz2;
- vx2 = vvx*vvx;
- vy2 = vvy*vvy;
- vz2 = vvz*vvz;
- ////////////////////////////////////////////////////////////////////////////////////
- //real wadjust;
- //real qudricLimitP = c1o100;// * 0.0001f;
- //real qudricLimitM = c1o100;// * 0.0001f;
- //real qudricLimitD = c1o100;// * 0.001f;
- ////////////////////////////////////////////////////////////////////////////////////
- //Hin
- ////////////////////////////////////////////////////////////////////////////////////
- // mit 1/36, 1/9, 1/36, 1/9, 4/9, 1/9, 1/36, 1/9, 1/36 Konditionieren
- ////////////////////////////////////////////////////////////////////////////////////
- // Z - Dir
- VF::LBM::forwardInverseChimeraWithK(mfaaa, mfaab, mfaac, vvz, vz2, 36.0f, c1o36);
- VF::LBM::forwardInverseChimeraWithK(mfaba, mfabb, mfabc, vvz, vz2, 9.0f , c1o9 );
- VF::LBM::forwardInverseChimeraWithK(mfaca, mfacb, mfacc, vvz, vz2, 36.0f, c1o36);
- VF::LBM::forwardInverseChimeraWithK(mfbaa, mfbab, mfbac, vvz, vz2, 9.0f , c1o9 );
- VF::LBM::forwardInverseChimeraWithK(mfbba, mfbbb, mfbbc, vvz, vz2, 2.25f, c4o9 );
- VF::LBM::forwardInverseChimeraWithK(mfbca, mfbcb, mfbcc, vvz, vz2, 9.0f , c1o9 );
- VF::LBM::forwardInverseChimeraWithK(mfcaa, mfcab, mfcac, vvz, vz2, 36.0f, c1o36);
- VF::LBM::forwardInverseChimeraWithK(mfcba, mfcbb, mfcbc, vvz, vz2, 9.0f , c1o9 );
- VF::LBM::forwardInverseChimeraWithK(mfcca, mfccb, mfccc, vvz, vz2, 36.0f, c1o36);
-
- ////////////////////////////////////////////////////////////////////////////////////
- // mit 1/6, 0, 1/18, 2/3, 0, 2/9, 1/6, 0, 1/18 Konditionieren
- ////////////////////////////////////////////////////////////////////////////////////
- // Y - Dir
- VF::LBM::forwardInverseChimeraWithK(mfaaa, mfaba, mfaca, vvy, vy2, 6.0f , c1o6 );
- VF::LBM::forwardChimera( mfaab, mfabb, mfacb, vvy, vy2);
- VF::LBM::forwardInverseChimeraWithK(mfaac, mfabc, mfacc, vvy, vy2, 18.0f, c1o18);
- VF::LBM::forwardInverseChimeraWithK(mfbaa, mfbba, mfbca, vvy, vy2, 1.5f , c2o3 );
- VF::LBM::forwardChimera( mfbab, mfbbb, mfbcb, vvy, vy2);
- VF::LBM::forwardInverseChimeraWithK(mfbac, mfbbc, mfbcc, vvy, vy2, 4.5f , c2o9 );
- VF::LBM::forwardInverseChimeraWithK(mfcaa, mfcba, mfcca, vvy, vy2, 6.0f , c1o6 );
- VF::LBM::forwardChimera( mfcab, mfcbb, mfccb, vvy, vy2);
- VF::LBM::forwardInverseChimeraWithK(mfcac, mfcbc, mfccc, vvy, vy2, 18.0f, c1o18);
-
- ////////////////////////////////////////////////////////////////////////////////////
- // mit 1, 0, 1/3, 0, 0, 0, 1/3, 0, 1/9 Konditionieren
- ////////////////////////////////////////////////////////////////////////////////////
- // X - Dir
- VF::LBM::forwardInverseChimeraWithK(mfaaa, mfbaa, mfcaa, vvx, vx2, c1o1, c1o1);
- VF::LBM::forwardChimera( mfaba, mfbba, mfcba, vvx, vx2);
- VF::LBM::forwardInverseChimeraWithK(mfaca, mfbca, mfcca, vvx, vx2, 3.0f, c1o3);
- VF::LBM::forwardChimera( mfaab, mfbab, mfcab, vvx, vx2);
- VF::LBM::forwardChimera( mfabb, mfbbb, mfcbb, vvx, vx2);
- VF::LBM::forwardChimera( mfacb, mfbcb, mfccb, vvx, vx2);
- VF::LBM::forwardInverseChimeraWithK(mfaac, mfbac, mfcac, vvx, vx2, 3.0f, c1o3);
- VF::LBM::forwardChimera( mfabc, mfbbc, mfcbc, vvx, vx2);
- VF::LBM::forwardInverseChimeraWithK(mfacc, mfbcc, mfccc, vvx, vx2, 9.0f, c1o9);
-
- ////////////////////////////////////////////////////////////////////////////////////
- // Cumulants
- ////////////////////////////////////////////////////////////////////////////////////
- real OxxPyyPzz = c1o1;
- ////////////////////////////////////////////////////////////
- //3.
- //////////////////////////////
- real OxyyPxzz = c1o1;
- real OxyyMxzz = c1o1;
- //real Oxyz = c1o1;
- ////////////////////////////////////////////////////////////
- //4.
- //////////////////////////////
- real O4 = c1o1;
- ////////////////////////////////////////////////////////////
- //5.
- //////////////////////////////
- real O5 = c1o1;
- ////////////////////////////////////////////////////////////
- //6.
- //////////////////////////////
- real O6 = c1o1;
- ////////////////////////////////////////////////////////////
-
-
- //central moments to cumulants
- //4.
- real CUMcbb = mfcbb - ((mfcaa + c1o3) * mfabb + c2o1 * mfbba * mfbab) * OOrho;
- real CUMbcb = mfbcb - ((mfaca + c1o3) * mfbab + c2o1 * mfbba * mfabb) * OOrho;
- real CUMbbc = mfbbc - ((mfaac + c1o3) * mfbba + c2o1 * mfbab * mfabb) * OOrho;
-
- real CUMcca = mfcca - (((mfcaa * mfaca + c2o1 * mfbba * mfbba) + c1o3 * (mfcaa + mfaca)) * OOrho - c1o9*(drho * OOrho));
- real CUMcac = mfcac - (((mfcaa * mfaac + c2o1 * mfbab * mfbab) + c1o3 * (mfcaa + mfaac)) * OOrho - c1o9*(drho * OOrho));
- real CUMacc = mfacc - (((mfaac * mfaca + c2o1 * mfabb * mfabb) + c1o3 * (mfaac + mfaca)) * OOrho - c1o9*(drho * OOrho));
-
- //5.
- real CUMbcc = mfbcc - ((mfaac * mfbca + mfaca * mfbac + c4o1 * mfabb * mfbbb + c2o1 * (mfbab * mfacb + mfbba * mfabc)) + c1o3 * (mfbca + mfbac)) * OOrho;
- real CUMcbc = mfcbc - ((mfaac * mfcba + mfcaa * mfabc + c4o1 * mfbab * mfbbb + c2o1 * (mfabb * mfcab + mfbba * mfbac)) + c1o3 * (mfcba + mfabc)) * OOrho;
- real CUMccb = mfccb - ((mfcaa * mfacb + mfaca * mfcab + c4o1 * mfbba * mfbbb + c2o1 * (mfbab * mfbca + mfabb * mfcba)) + c1o3 * (mfacb + mfcab)) * OOrho;
-
- //6.
- real CUMccc = mfccc + ((-c4o1 * mfbbb * mfbbb
- - (mfcaa * mfacc + mfaca * mfcac + mfaac * mfcca)
- - c4o1 * (mfabb * mfcbb + mfbab * mfbcb + mfbba * mfbbc)
- - c2o1 * (mfbca * mfbac + mfcba * mfabc + mfcab * mfacb)) * OOrho
- + (c4o1 * (mfbab * mfbab * mfaca + mfabb * mfabb * mfcaa + mfbba * mfbba * mfaac)
- + c2o1 * (mfcaa * mfaca * mfaac)
- + c16o1 * mfbba * mfbab * mfabb) * OOrho * OOrho
- - c1o3 * (mfacc + mfcac + mfcca) * OOrho
- - c1o9 * (mfcaa + mfaca + mfaac) * OOrho
- + (c2o1 * (mfbab * mfbab + mfabb * mfabb + mfbba * mfbba)
- + (mfaac * mfaca + mfaac * mfcaa + mfaca * mfcaa) + c1o3 *(mfaac + mfaca + mfcaa)) * OOrho * OOrho * c2o3
- + c1o27*((drho * drho - drho) * OOrho * OOrho ));
-
-
- //2.
- // linear combinations
- real mxxPyyPzz = mfcaa + mfaca + mfaac;
- real mxxMyy = mfcaa - mfaca;
- real mxxMzz = mfcaa - mfaac;
-
- /////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
- //incl. correction (hat noch nicht so gut funktioniert...Optimierungsbedarf??)
- {
- real dxux = c1o2 * (-omega) *(mxxMyy + mxxMzz) + c1o2 * OxxPyyPzz * (mfaaa - mxxPyyPzz);
- real dyuy = dxux + omega * c3o2 * mxxMyy;
- real dzuz = dxux + omega * c3o2 * mxxMzz;
-
- //relax
- mxxPyyPzz += OxxPyyPzz*(mfaaa - mxxPyyPzz)- c3o1 * (c1o1 - c1o2 * OxxPyyPzz) * (vx2 * dxux + vy2 * dyuy + vz2 * dzuz);//-magicBulk*OxxPyyPzz;
- mxxMyy += omega * (-mxxMyy) - c3o1 * (c1o1 + c1o2 * (-omega)) * (vx2 * dxux - vy2 * dyuy);
- mxxMzz += omega * (-mxxMzz) - c3o1 * (c1o1 + c1o2 * (-omega)) * (vx2 * dxux - vz2 * dzuz);
-
- }
- /////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
-
- /////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
- ////no correction
- //mxxPyyPzz += OxxPyyPzz*(mfaaa - mxxPyyPzz);//-magicBulk*OxxPyyPzz;
- //mxxMyy += -(-omega) * (-mxxMyy);
- //mxxMzz += -(-omega) * (-mxxMzz);
- /////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
- mfabb += omega * (-mfabb);
- mfbab += omega * (-mfbab);
- mfbba += omega * (-mfbba);
-
- //////////////////////////////////////////////////////////////////////////
-
- // linear combinations back
- mfcaa = c1o3 * (mxxMyy + mxxMzz + mxxPyyPzz);
- mfaca = c1o3 * (-c2o1* mxxMyy + mxxMzz + mxxPyyPzz);
- mfaac = c1o3 * (mxxMyy - c2o1* mxxMzz + mxxPyyPzz);
-
- //3.
- // linear combinations
-
- real mxxyPyzz = mfcba + mfabc;
- real mxxyMyzz = mfcba - mfabc;
-
- real mxxzPyyz = mfcab + mfacb;
- real mxxzMyyz = mfcab - mfacb;
-
- real mxyyPxzz = mfbca + mfbac;
- real mxyyMxzz = mfbca - mfbac;
-
- //relax
- //////////////////////////////////////////////////////////////////////////
- mfbbb += OxyyMxzz * (-mfbbb);
- mxxyPyzz += OxyyPxzz * (-mxxyPyzz);
- mxxyMyzz += OxyyMxzz * (-mxxyMyzz);
- mxxzPyyz += OxyyPxzz * (-mxxzPyyz);
- mxxzMyyz += OxyyMxzz * (-mxxzMyyz);
- mxyyPxzz += OxyyPxzz * (-mxyyPxzz);
- mxyyMxzz += OxyyMxzz * (-mxyyMxzz);
- //////////////////////////////////////////////////////////////////////////
-
- mfcba = (mxxyMyzz + mxxyPyzz) * c1o2;
- mfabc = (-mxxyMyzz + mxxyPyzz) * c1o2;
- mfcab = (mxxzMyyz + mxxzPyyz) * c1o2;
- mfacb = (-mxxzMyyz + mxxzPyyz) * c1o2;
- mfbca = (mxyyMxzz + mxyyPxzz) * c1o2;
- mfbac = (-mxyyMxzz + mxyyPxzz) * c1o2;
-
- //4.
- //////////////////////////////////////////////////////////////////////////
- CUMacc += O4 * (-CUMacc);
- CUMcac += O4 * (-CUMcac);
- CUMcca += O4 * (-CUMcca);
-
- CUMbbc += O4 * (-CUMbbc);
- CUMbcb += O4 * (-CUMbcb);
- CUMcbb += O4 * (-CUMcbb);
- //////////////////////////////////////////////////////////////////////////
-
-
- //5.
- CUMbcc += O5 * (-CUMbcc);
- CUMcbc += O5 * (-CUMcbc);
- CUMccb += O5 * (-CUMccb);
-
- //6.
- CUMccc += O6 * (-CUMccc);
-
-
-
- //back cumulants to central moments
- //4.
- mfcbb = CUMcbb + c1o3*((c3o1*mfcaa + c1o1) * mfabb + c6o1 * mfbba * mfbab) * OOrho;
- mfbcb = CUMbcb + c1o3*((c3o1*mfaca + c1o1) * mfbab + c6o1 * mfbba * mfabb) * OOrho;
- mfbbc = CUMbbc + c1o3*((c3o1*mfaac + c1o1) * mfbba + c6o1 * mfbab * mfabb) * OOrho;
-
- mfcca = CUMcca + (((mfcaa * mfaca + c2o1 * mfbba * mfbba)*c9o1 + c3o1 * (mfcaa + mfaca)) * OOrho - (drho * OOrho))*c1o9;
- mfcac = CUMcac + (((mfcaa * mfaac + c2o1 * mfbab * mfbab)*c9o1 + c3o1 * (mfcaa + mfaac)) * OOrho - (drho * OOrho))*c1o9;
- mfacc = CUMacc + (((mfaac * mfaca + c2o1 * mfabb * mfabb)*c9o1 + c3o1 * (mfaac + mfaca)) * OOrho - (drho * OOrho))*c1o9;
-
- //5.
- mfbcc = CUMbcc + c1o3 *(c3o1*(mfaac * mfbca + mfaca * mfbac + c4o1 * mfabb * mfbbb + c2o1 * (mfbab * mfacb + mfbba * mfabc)) + (mfbca + mfbac)) * OOrho;
- mfcbc = CUMcbc + c1o3 *(c3o1*(mfaac * mfcba + mfcaa * mfabc + c4o1 * mfbab * mfbbb + c2o1 * (mfabb * mfcab + mfbba * mfbac)) + (mfcba + mfabc)) * OOrho;
- mfccb = CUMccb + c1o3 *(c3o1*(mfcaa * mfacb + mfaca * mfcab + c4o1 * mfbba * mfbbb + c2o1 * (mfbab * mfbca + mfabb * mfcba)) + (mfacb + mfcab)) * OOrho;
-
- //6.
- mfccc =
- CUMccc - ((-c4o1 * mfbbb * mfbbb
- - (mfcaa * mfacc + mfaca * mfcac + mfaac * mfcca)
- - c4o1 * (mfabb * mfcbb + mfbab * mfbcb + mfbba * mfbbc)
- - c2o1 * (mfbca * mfbac + mfcba * mfabc + mfcab * mfacb)) * OOrho
- + (c4o1 * (mfbab * mfbab * mfaca + mfabb * mfabb * mfcaa + mfbba * mfbba * mfaac)
- + c2o1 * (mfcaa * mfaca * mfaac)
- + c16o1 * mfbba * mfbab * mfabb) * OOrho * OOrho
- - c1o3 * (mfacc + mfcac + mfcca) * OOrho
- - c1o9 * (mfcaa + mfaca + mfaac) * OOrho
- + (c2o1 * (mfbab * mfbab + mfabb * mfabb + mfbba * mfbba)
- + (mfaac * mfaca + mfaac * mfcaa + mfaca * mfcaa) + c1o3 *(mfaac + mfaca + mfcaa)) * OOrho * OOrho * c2o3
- + c1o27*((drho * drho - drho) * OOrho * OOrho ));
-
- ////////////////////////////////////////////////////////////////////////////////////
- //the force be with you
- mfbaa = -mfbaa;
- mfaba = -mfaba;
- mfaab = -mfaab;
- ////////////////////////////////////////////////////////////////////////////////////
-
-
- ////////////////////////////////////////////////////////////////////////////////////
- //back
- ////////////////////////////////////////////////////////////////////////////////////
- //mit 1, 0, 1/3, 0, 0, 0, 1/3, 0, 1/9 Konditionieren
- ////////////////////////////////////////////////////////////////////////////////////
- // X - Dir
- VF::LBM::backwardInverseChimeraWithK(mfaaa, mfbaa, mfcaa, vvx, vx2, c1o1, c1o1);
- VF::LBM::backwardChimera( mfaba, mfbba, mfcba, vvx, vx2);
- VF::LBM::backwardInverseChimeraWithK(mfaca, mfbca, mfcca, vvx, vx2, 3.0f, c1o3);
- VF::LBM::backwardChimera( mfaab, mfbab, mfcab, vvx, vx2);
- VF::LBM::backwardChimera( mfabb, mfbbb, mfcbb, vvx, vx2);
- VF::LBM::backwardChimera( mfacb, mfbcb, mfccb, vvx, vx2);
- VF::LBM::backwardInverseChimeraWithK(mfaac, mfbac, mfcac, vvx, vx2, 3.0f, c1o3);
- VF::LBM::backwardChimera( mfabc, mfbbc, mfcbc, vvx, vx2);
- VF::LBM::backwardInverseChimeraWithK(mfacc, mfbcc, mfccc, vvx, vx2, 9.0f, c1o9);
-
- ////////////////////////////////////////////////////////////////////////////////////
- //mit 1/6, 2/3, 1/6, 0, 0, 0, 1/18, 2/9, 1/18 Konditionieren
- ////////////////////////////////////////////////////////////////////////////////////
- // Y - Dir
- VF::LBM::backwardInverseChimeraWithK(mfaaa, mfaba, mfaca, vvy, vy2, 6.0f , c1o6 );
- VF::LBM::backwardChimera( mfaab, mfabb, mfacb, vvy, vy2);
- VF::LBM::backwardInverseChimeraWithK(mfaac, mfabc, mfacc, vvy, vy2, 18.0f, c1o18);
- VF::LBM::backwardInverseChimeraWithK(mfbaa, mfbba, mfbca, vvy, vy2, 1.5f , c2o3 );
- VF::LBM::backwardChimera( mfbab, mfbbb, mfbcb, vvy, vy2);
- VF::LBM::backwardInverseChimeraWithK(mfbac, mfbbc, mfbcc, vvy, vy2, 4.5f , c2o9 );
- VF::LBM::backwardInverseChimeraWithK(mfcaa, mfcba, mfcca, vvy, vy2, 6.0f , c1o6 );
- VF::LBM::backwardChimera( mfcab, mfcbb, mfccb, vvy, vy2);
- VF::LBM::backwardInverseChimeraWithK(mfcac, mfcbc, mfccc, vvy, vy2, 18.0f, c1o18);
-
- ////////////////////////////////////////////////////////////////////////////////////
- //mit 1/36, 1/9, 1/36, 1/9, 4/9, 1/9, 1/36, 1/9, 1/36 Konditionieren
- ////////////////////////////////////////////////////////////////////////////////////
- // Z - Dir
- VF::LBM::backwardInverseChimeraWithK(mfaaa, mfaab, mfaac, vvz, vz2, 36.0f, c1o36);
- VF::LBM::backwardInverseChimeraWithK(mfaba, mfabb, mfabc, vvz, vz2, 9.0f , c1o9 );
- VF::LBM::backwardInverseChimeraWithK(mfaca, mfacb, mfacc, vvz, vz2, 36.0f, c1o36);
- VF::LBM::backwardInverseChimeraWithK(mfbaa, mfbab, mfbac, vvz, vz2, 9.0f , c1o9 );
- VF::LBM::backwardInverseChimeraWithK(mfbba, mfbbb, mfbbc, vvz, vz2, 2.25f, c4o9 );
- VF::LBM::backwardInverseChimeraWithK(mfbca, mfbcb, mfbcc, vvz, vz2, 9.0f , c1o9 );
- VF::LBM::backwardInverseChimeraWithK(mfcaa, mfcab, mfcac, vvz, vz2, 36.0f, c1o36);
- VF::LBM::backwardInverseChimeraWithK(mfcba, mfcbb, mfcbc, vvz, vz2, 9.0f , c1o9 );
- VF::LBM::backwardInverseChimeraWithK(mfcca, mfccb, mfccc, vvz, vz2, 36.0f, c1o36);
-
- //////////////////////////////////////////////////////////////////////////////////////
- real drhoPost =
- ((((mfccc + mfaaa) + (mfaca + mfcac)) + ((mfacc + mfcaa) + (mfaac + mfcca))) +
- (((mfbac + mfbca) + (mfbaa + mfbcc)) + ((mfabc + mfcba) + (mfaba + mfcbc)) + ((mfacb + mfcab) + (mfaab + mfccb))) +
- ((mfabb + mfcbb) + (mfbab + mfbcb) + (mfbba + mfbbc))) + mfbbb;
- mfbbb += drho - drhoPost;
- ////////////////////////////////////////////////////////////////////////////////////
- (D.f[dirE ])[k ] = mfabb;
- (D.f[dirW ])[kw ] = mfcbb;
- (D.f[dirN ])[k ] = mfbab;
- (D.f[dirS ])[ks ] = mfbcb;
- (D.f[dirT ])[k ] = mfbba;
- (D.f[dirB ])[kb ] = mfbbc;
- (D.f[dirNE ])[k ] = mfaab;
- (D.f[dirSW ])[ksw ] = mfccb;
- (D.f[dirSE ])[ks ] = mfacb;
- (D.f[dirNW ])[kw ] = mfcab;
- (D.f[dirTE ])[k ] = mfaba;
- (D.f[dirBW ])[kbw ] = mfcbc;
- (D.f[dirBE ])[kb ] = mfabc;
- (D.f[dirTW ])[kw ] = mfcba;
- (D.f[dirTN ])[k ] = mfbaa;
- (D.f[dirBS ])[kbs ] = mfbcc;
- (D.f[dirBN ])[kb ] = mfbac;
- (D.f[dirTS ])[ks ] = mfbca;
- (D.f[dirZERO])[k ] = mfbbb;
- (D.f[dirTNE ])[k ] = mfaaa;
- (D.f[dirTSE ])[ks ] = mfaca;
- (D.f[dirBNE ])[kb ] = mfaac;
- (D.f[dirBSE ])[kbs ] = mfacc;
- (D.f[dirTNW ])[kw ] = mfcaa;
- (D.f[dirTSW ])[ksw ] = mfcca;
- (D.f[dirBNW ])[kbw ] = mfcac;
- (D.f[dirBSW ])[kbsw] = mfccc;
- }
- }
+ ////////////////////////////////////////////////////////////////////////////////
+ const unsigned x = threadIdx.x; // Globaler x-Index
+ const unsigned y = blockIdx.x; // Globaler y-Index
+ const unsigned z = blockIdx.y; // Globaler z-Index
+
+ const unsigned nx = blockDim.x;
+ const unsigned ny = gridDim.x;
+
+ const unsigned k = nx*(ny*z + y) + x;
+ //////////////////////////////////////////////////////////////////////////
+
+ if (k<size_Mat)
+ {
+ ////////////////////////////////////////////////////////////////////////////////
+ unsigned int BC;
+ BC = bcMatD[k];
+
+ if (BC >= GEO_FLUID/*(BC != GEO_SOLID) && (BC != GEO_VOID)*/)
+ {
+ Distributions27 D;
+ if (EvenOrOdd == true)
+ {
+ D.f[dirE ] = &DDStart[dirE *size_Mat];
+ D.f[dirW ] = &DDStart[dirW *size_Mat];
+ D.f[dirN ] = &DDStart[dirN *size_Mat];
+ D.f[dirS ] = &DDStart[dirS *size_Mat];
+ D.f[dirT ] = &DDStart[dirT *size_Mat];
+ D.f[dirB ] = &DDStart[dirB *size_Mat];
+ D.f[dirNE ] = &DDStart[dirNE *size_Mat];
+ D.f[dirSW ] = &DDStart[dirSW *size_Mat];
+ D.f[dirSE ] = &DDStart[dirSE *size_Mat];
+ D.f[dirNW ] = &DDStart[dirNW *size_Mat];
+ D.f[dirTE ] = &DDStart[dirTE *size_Mat];
+ D.f[dirBW ] = &DDStart[dirBW *size_Mat];
+ D.f[dirBE ] = &DDStart[dirBE *size_Mat];
+ D.f[dirTW ] = &DDStart[dirTW *size_Mat];
+ D.f[dirTN ] = &DDStart[dirTN *size_Mat];
+ D.f[dirBS ] = &DDStart[dirBS *size_Mat];
+ D.f[dirBN ] = &DDStart[dirBN *size_Mat];
+ D.f[dirTS ] = &DDStart[dirTS *size_Mat];
+ D.f[dirZERO] = &DDStart[dirZERO*size_Mat];
+ D.f[dirTNE ] = &DDStart[dirTNE *size_Mat];
+ D.f[dirTSW ] = &DDStart[dirTSW *size_Mat];
+ D.f[dirTSE ] = &DDStart[dirTSE *size_Mat];
+ D.f[dirTNW ] = &DDStart[dirTNW *size_Mat];
+ D.f[dirBNE ] = &DDStart[dirBNE *size_Mat];
+ D.f[dirBSW ] = &DDStart[dirBSW *size_Mat];
+ D.f[dirBSE ] = &DDStart[dirBSE *size_Mat];
+ D.f[dirBNW ] = &DDStart[dirBNW *size_Mat];
+ }
+ else
+ {
+ D.f[dirW ] = &DDStart[dirE *size_Mat];
+ D.f[dirE ] = &DDStart[dirW *size_Mat];
+ D.f[dirS ] = &DDStart[dirN *size_Mat];
+ D.f[dirN ] = &DDStart[dirS *size_Mat];
+ D.f[dirB ] = &DDStart[dirT *size_Mat];
+ D.f[dirT ] = &DDStart[dirB *size_Mat];
+ D.f[dirSW ] = &DDStart[dirNE *size_Mat];
+ D.f[dirNE ] = &DDStart[dirSW *size_Mat];
+ D.f[dirNW ] = &DDStart[dirSE *size_Mat];
+ D.f[dirSE ] = &DDStart[dirNW *size_Mat];
+ D.f[dirBW ] = &DDStart[dirTE *size_Mat];
+ D.f[dirTE ] = &DDStart[dirBW *size_Mat];
+ D.f[dirTW ] = &DDStart[dirBE *size_Mat];
+ D.f[dirBE ] = &DDStart[dirTW *size_Mat];
+ D.f[dirBS ] = &DDStart[dirTN *size_Mat];
+ D.f[dirTN ] = &DDStart[dirBS *size_Mat];
+ D.f[dirTS ] = &DDStart[dirBN *size_Mat];
+ D.f[dirBN ] = &DDStart[dirTS *size_Mat];
+ D.f[dirZERO] = &DDStart[dirZERO*size_Mat];
+ D.f[dirBSW ] = &DDStart[dirTNE *size_Mat];
+ D.f[dirBNE ] = &DDStart[dirTSW *size_Mat];
+ D.f[dirBNW ] = &DDStart[dirTSE *size_Mat];
+ D.f[dirBSE ] = &DDStart[dirTNW *size_Mat];
+ D.f[dirTSW ] = &DDStart[dirBNE *size_Mat];
+ D.f[dirTNE ] = &DDStart[dirBSW *size_Mat];
+ D.f[dirTNW ] = &DDStart[dirBSE *size_Mat];
+ D.f[dirTSE ] = &DDStart[dirBNW *size_Mat];
+ }
+ ////////////////////////////////////////////////////////////////////////////////
+ //index
+ unsigned int kw = neighborX[k];
+ unsigned int ks = neighborY[k];
+ unsigned int kb = neighborZ[k];
+ unsigned int ksw = neighborY[kw];
+ unsigned int kbw = neighborZ[kw];
+ unsigned int kbs = neighborZ[ks];
+ unsigned int kbsw = neighborZ[ksw];
+ ////////////////////////////////////////////////////////////////////////////////////
+ real mfcbb = (D.f[dirE ])[k ];
+ real mfabb = (D.f[dirW ])[kw ];
+ real mfbcb = (D.f[dirN ])[k ];
+ real mfbab = (D.f[dirS ])[ks ];
+ real mfbbc = (D.f[dirT ])[k ];
+ real mfbba = (D.f[dirB ])[kb ];
+ real mfccb = (D.f[dirNE ])[k ];
+ real mfaab = (D.f[dirSW ])[ksw ];
+ real mfcab = (D.f[dirSE ])[ks ];
+ real mfacb = (D.f[dirNW ])[kw ];
+ real mfcbc = (D.f[dirTE ])[k ];
+ real mfaba = (D.f[dirBW ])[kbw ];
+ real mfcba = (D.f[dirBE ])[kb ];
+ real mfabc = (D.f[dirTW ])[kw ];
+ real mfbcc = (D.f[dirTN ])[k ];
+ real mfbaa = (D.f[dirBS ])[kbs ];
+ real mfbca = (D.f[dirBN ])[kb ];
+ real mfbac = (D.f[dirTS ])[ks ];
+ real mfbbb = (D.f[dirZERO])[k ];
+ real mfccc = (D.f[dirTNE ])[k ];
+ real mfaac = (D.f[dirTSW ])[ksw ];
+ real mfcac = (D.f[dirTSE ])[ks ];
+ real mfacc = (D.f[dirTNW ])[kw ];
+ real mfcca = (D.f[dirBNE ])[kb ];
+ real mfaaa = (D.f[dirBSW ])[kbsw];
+ real mfcaa = (D.f[dirBSE ])[kbs ];
+ real mfaca = (D.f[dirBNW ])[kbw ];
+ ////////////////////////////////////////////////////////////////////////////////////
+ real drho = ((((mfccc + mfaaa) + (mfaca + mfcac)) + ((mfacc + mfcaa) + (mfaac + mfcca))) +
+ (((mfbac + mfbca) + (mfbaa + mfbcc)) + ((mfabc + mfcba) + (mfaba + mfcbc)) + ((mfacb + mfcab) + (mfaab + mfccb))) +
+ ((mfabb + mfcbb) + (mfbab + mfbcb) + (mfbba + mfbbc))) + mfbbb;
+
+ real rho = c1o1 + drho;
+ real OOrho = c1o1 / rho;
+ ////////////////////////////////////////////////////////////////////////////////////
+ real vvx = ((((mfccc - mfaaa) + (mfcac - mfaca)) + ((mfcaa - mfacc) + (mfcca - mfaac))) +
+ (((mfcba - mfabc) + (mfcbc - mfaba)) + ((mfcab - mfacb) + (mfccb - mfaab))) +
+ (mfcbb - mfabb)) * OOrho;
+ real vvy = ((((mfccc - mfaaa) + (mfaca - mfcac)) + ((mfacc - mfcaa) + (mfcca - mfaac))) +
+ (((mfbca - mfbac) + (mfbcc - mfbaa)) + ((mfacb - mfcab) + (mfccb - mfaab))) +
+ (mfbcb - mfbab)) * OOrho;
+ real vvz = ((((mfccc - mfaaa) + (mfcac - mfaca)) + ((mfacc - mfcaa) + (mfaac - mfcca))) +
+ (((mfbac - mfbca) + (mfbcc - mfbaa)) + ((mfabc - mfcba) + (mfcbc - mfaba))) +
+ (mfbbc - mfbba)) * OOrho;
+ ////////////////////////////////////////////////////////////////////////////////////
+ //the force be with you
+ real fx = forces[0] / (pow((double)c2o1, (double)level)); //zero;//0.0032653/(pow(two,level)); //0.000000005;//(two/1600000.0) / 120.0; //
+ real fy = forces[1] / (pow((double)c2o1, (double)level)); //zero;
+ real fz = forces[2] / (pow((double)c2o1, (double)level)); //zero;
+ vvx += fx*c1o2;
+ vvy += fy*c1o2;
+ vvz += fz*c1o2;
+ ////////////////////////////////////////////////////////////////////////////////////
+ //real omega = omega_in;
+ ////////////////////////////////////////////////////////////////////////////////////
+ //fast
+ //real oMdrho = c1o1; // comp special
+ //real m0, m1, m2;
+ real vx2;
+ real vy2;
+ real vz2;
+ vx2 = vvx*vvx;
+ vy2 = vvy*vvy;
+ vz2 = vvz*vvz;
+ ////////////////////////////////////////////////////////////////////////////////////
+ //real wadjust;
+ //real qudricLimitP = c1o100;// * 0.0001f;
+ //real qudricLimitM = c1o100;// * 0.0001f;
+ //real qudricLimitD = c1o100;// * 0.001f;
+ ////////////////////////////////////////////////////////////////////////////////////
+ //Hin
+ ////////////////////////////////////////////////////////////////////////////////////
+ // mit 1/36, 1/9, 1/36, 1/9, 4/9, 1/9, 1/36, 1/9, 1/36 Konditionieren
+ ////////////////////////////////////////////////////////////////////////////////////
+ // Z - Dir
+ VF::LBM::forwardInverseChimeraWithK(mfaaa, mfaab, mfaac, vvz, vz2, 36.0f, c1o36);
+ VF::LBM::forwardInverseChimeraWithK(mfaba, mfabb, mfabc, vvz, vz2, 9.0f , c1o9 );
+ VF::LBM::forwardInverseChimeraWithK(mfaca, mfacb, mfacc, vvz, vz2, 36.0f, c1o36);
+ VF::LBM::forwardInverseChimeraWithK(mfbaa, mfbab, mfbac, vvz, vz2, 9.0f , c1o9 );
+ VF::LBM::forwardInverseChimeraWithK(mfbba, mfbbb, mfbbc, vvz, vz2, 2.25f, c4o9 );
+ VF::LBM::forwardInverseChimeraWithK(mfbca, mfbcb, mfbcc, vvz, vz2, 9.0f , c1o9 );
+ VF::LBM::forwardInverseChimeraWithK(mfcaa, mfcab, mfcac, vvz, vz2, 36.0f, c1o36);
+ VF::LBM::forwardInverseChimeraWithK(mfcba, mfcbb, mfcbc, vvz, vz2, 9.0f , c1o9 );
+ VF::LBM::forwardInverseChimeraWithK(mfcca, mfccb, mfccc, vvz, vz2, 36.0f, c1o36);
+
+ ////////////////////////////////////////////////////////////////////////////////////
+ // mit 1/6, 0, 1/18, 2/3, 0, 2/9, 1/6, 0, 1/18 Konditionieren
+ ////////////////////////////////////////////////////////////////////////////////////
+ // Y - Dir
+ VF::LBM::forwardInverseChimeraWithK(mfaaa, mfaba, mfaca, vvy, vy2, 6.0f , c1o6 );
+ VF::LBM::forwardChimera( mfaab, mfabb, mfacb, vvy, vy2);
+ VF::LBM::forwardInverseChimeraWithK(mfaac, mfabc, mfacc, vvy, vy2, 18.0f, c1o18);
+ VF::LBM::forwardInverseChimeraWithK(mfbaa, mfbba, mfbca, vvy, vy2, 1.5f , c2o3 );
+ VF::LBM::forwardChimera( mfbab, mfbbb, mfbcb, vvy, vy2);
+ VF::LBM::forwardInverseChimeraWithK(mfbac, mfbbc, mfbcc, vvy, vy2, 4.5f , c2o9 );
+ VF::LBM::forwardInverseChimeraWithK(mfcaa, mfcba, mfcca, vvy, vy2, 6.0f , c1o6 );
+ VF::LBM::forwardChimera( mfcab, mfcbb, mfccb, vvy, vy2);
+ VF::LBM::forwardInverseChimeraWithK(mfcac, mfcbc, mfccc, vvy, vy2, 18.0f, c1o18);
+
+ ////////////////////////////////////////////////////////////////////////////////////
+ // mit 1, 0, 1/3, 0, 0, 0, 1/3, 0, 1/9 Konditionieren
+ ////////////////////////////////////////////////////////////////////////////////////
+ // X - Dir
+ VF::LBM::forwardInverseChimeraWithK(mfaaa, mfbaa, mfcaa, vvx, vx2, c1o1, c1o1);
+ VF::LBM::forwardChimera( mfaba, mfbba, mfcba, vvx, vx2);
+ VF::LBM::forwardInverseChimeraWithK(mfaca, mfbca, mfcca, vvx, vx2, 3.0f, c1o3);
+ VF::LBM::forwardChimera( mfaab, mfbab, mfcab, vvx, vx2);
+ VF::LBM::forwardChimera( mfabb, mfbbb, mfcbb, vvx, vx2);
+ VF::LBM::forwardChimera( mfacb, mfbcb, mfccb, vvx, vx2);
+ VF::LBM::forwardInverseChimeraWithK(mfaac, mfbac, mfcac, vvx, vx2, 3.0f, c1o3);
+ VF::LBM::forwardChimera( mfabc, mfbbc, mfcbc, vvx, vx2);
+ VF::LBM::forwardInverseChimeraWithK(mfacc, mfbcc, mfccc, vvx, vx2, 9.0f, c1o9);
+
+ ////////////////////////////////////////////////////////////////////////////////////
+ // Cumulants
+ ////////////////////////////////////////////////////////////////////////////////////
+ real OxxPyyPzz = c1o1;
+ ////////////////////////////////////////////////////////////
+ //3.
+ //////////////////////////////
+ real OxyyPxzz = c1o1;
+ real OxyyMxzz = c1o1;
+ //real Oxyz = c1o1;
+ ////////////////////////////////////////////////////////////
+ //4.
+ //////////////////////////////
+ real O4 = c1o1;
+ ////////////////////////////////////////////////////////////
+ //5.
+ //////////////////////////////
+ real O5 = c1o1;
+ ////////////////////////////////////////////////////////////
+ //6.
+ //////////////////////////////
+ real O6 = c1o1;
+ ////////////////////////////////////////////////////////////
+
+
+ //central moments to cumulants
+ //4.
+ real CUMcbb = mfcbb - ((mfcaa + c1o3) * mfabb + c2o1 * mfbba * mfbab) * OOrho;
+ real CUMbcb = mfbcb - ((mfaca + c1o3) * mfbab + c2o1 * mfbba * mfabb) * OOrho;
+ real CUMbbc = mfbbc - ((mfaac + c1o3) * mfbba + c2o1 * mfbab * mfabb) * OOrho;
+
+ real CUMcca = mfcca - (((mfcaa * mfaca + c2o1 * mfbba * mfbba) + c1o3 * (mfcaa + mfaca)) * OOrho - c1o9*(drho * OOrho));
+ real CUMcac = mfcac - (((mfcaa * mfaac + c2o1 * mfbab * mfbab) + c1o3 * (mfcaa + mfaac)) * OOrho - c1o9*(drho * OOrho));
+ real CUMacc = mfacc - (((mfaac * mfaca + c2o1 * mfabb * mfabb) + c1o3 * (mfaac + mfaca)) * OOrho - c1o9*(drho * OOrho));
+
+ //5.
+ real CUMbcc = mfbcc - ((mfaac * mfbca + mfaca * mfbac + c4o1 * mfabb * mfbbb + c2o1 * (mfbab * mfacb + mfbba * mfabc)) + c1o3 * (mfbca + mfbac)) * OOrho;
+ real CUMcbc = mfcbc - ((mfaac * mfcba + mfcaa * mfabc + c4o1 * mfbab * mfbbb + c2o1 * (mfabb * mfcab + mfbba * mfbac)) + c1o3 * (mfcba + mfabc)) * OOrho;
+ real CUMccb = mfccb - ((mfcaa * mfacb + mfaca * mfcab + c4o1 * mfbba * mfbbb + c2o1 * (mfbab * mfbca + mfabb * mfcba)) + c1o3 * (mfacb + mfcab)) * OOrho;
+
+ //6.
+ real CUMccc = mfccc + ((-c4o1 * mfbbb * mfbbb
+ - (mfcaa * mfacc + mfaca * mfcac + mfaac * mfcca)
+ - c4o1 * (mfabb * mfcbb + mfbab * mfbcb + mfbba * mfbbc)
+ - c2o1 * (mfbca * mfbac + mfcba * mfabc + mfcab * mfacb)) * OOrho
+ + (c4o1 * (mfbab * mfbab * mfaca + mfabb * mfabb * mfcaa + mfbba * mfbba * mfaac)
+ + c2o1 * (mfcaa * mfaca * mfaac)
+ + c16o1 * mfbba * mfbab * mfabb) * OOrho * OOrho
+ - c1o3 * (mfacc + mfcac + mfcca) * OOrho
+ - c1o9 * (mfcaa + mfaca + mfaac) * OOrho
+ + (c2o1 * (mfbab * mfbab + mfabb * mfabb + mfbba * mfbba)
+ + (mfaac * mfaca + mfaac * mfcaa + mfaca * mfcaa) + c1o3 *(mfaac + mfaca + mfcaa)) * OOrho * OOrho * c2o3
+ + c1o27*((drho * drho - drho) * OOrho * OOrho ));
+
+
+ //2.
+ // linear combinations
+ real mxxPyyPzz = mfcaa + mfaca + mfaac;
+ real mxxMyy = mfcaa - mfaca;
+ real mxxMzz = mfcaa - mfaac;
+
+ /////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
+ //incl. correction (hat noch nicht so gut funktioniert...Optimierungsbedarf??)
+ {
+ real dxux = c1o2 * (-omega) *(mxxMyy + mxxMzz) + c1o2 * OxxPyyPzz * (mfaaa - mxxPyyPzz);
+ real dyuy = dxux + omega * c3o2 * mxxMyy;
+ real dzuz = dxux + omega * c3o2 * mxxMzz;
+
+ //relax
+ mxxPyyPzz += OxxPyyPzz*(mfaaa - mxxPyyPzz)- c3o1 * (c1o1 - c1o2 * OxxPyyPzz) * (vx2 * dxux + vy2 * dyuy + vz2 * dzuz);//-magicBulk*OxxPyyPzz;
+ mxxMyy += omega * (-mxxMyy) - c3o1 * (c1o1 + c1o2 * (-omega)) * (vx2 * dxux - vy2 * dyuy);
+ mxxMzz += omega * (-mxxMzz) - c3o1 * (c1o1 + c1o2 * (-omega)) * (vx2 * dxux - vz2 * dzuz);
+
+ }
+ /////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
+
+ /////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
+ ////no correction
+ //mxxPyyPzz += OxxPyyPzz*(mfaaa - mxxPyyPzz);//-magicBulk*OxxPyyPzz;
+ //mxxMyy += -(-omega) * (-mxxMyy);
+ //mxxMzz += -(-omega) * (-mxxMzz);
+ /////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
+ mfabb += omega * (-mfabb);
+ mfbab += omega * (-mfbab);
+ mfbba += omega * (-mfbba);
+
+ //////////////////////////////////////////////////////////////////////////
+
+ // linear combinations back
+ mfcaa = c1o3 * (mxxMyy + mxxMzz + mxxPyyPzz);
+ mfaca = c1o3 * (-c2o1* mxxMyy + mxxMzz + mxxPyyPzz);
+ mfaac = c1o3 * (mxxMyy - c2o1* mxxMzz + mxxPyyPzz);
+
+ //3.
+ // linear combinations
+
+ real mxxyPyzz = mfcba + mfabc;
+ real mxxyMyzz = mfcba - mfabc;
+
+ real mxxzPyyz = mfcab + mfacb;
+ real mxxzMyyz = mfcab - mfacb;
+
+ real mxyyPxzz = mfbca + mfbac;
+ real mxyyMxzz = mfbca - mfbac;
+
+ //relax
+ //////////////////////////////////////////////////////////////////////////
+ mfbbb += OxyyMxzz * (-mfbbb);
+ mxxyPyzz += OxyyPxzz * (-mxxyPyzz);
+ mxxyMyzz += OxyyMxzz * (-mxxyMyzz);
+ mxxzPyyz += OxyyPxzz * (-mxxzPyyz);
+ mxxzMyyz += OxyyMxzz * (-mxxzMyyz);
+ mxyyPxzz += OxyyPxzz * (-mxyyPxzz);
+ mxyyMxzz += OxyyMxzz * (-mxyyMxzz);
+ //////////////////////////////////////////////////////////////////////////
+
+ mfcba = (mxxyMyzz + mxxyPyzz) * c1o2;
+ mfabc = (-mxxyMyzz + mxxyPyzz) * c1o2;
+ mfcab = (mxxzMyyz + mxxzPyyz) * c1o2;
+ mfacb = (-mxxzMyyz + mxxzPyyz) * c1o2;
+ mfbca = (mxyyMxzz + mxyyPxzz) * c1o2;
+ mfbac = (-mxyyMxzz + mxyyPxzz) * c1o2;
+
+ //4.
+ //////////////////////////////////////////////////////////////////////////
+ CUMacc += O4 * (-CUMacc);
+ CUMcac += O4 * (-CUMcac);
+ CUMcca += O4 * (-CUMcca);
+
+ CUMbbc += O4 * (-CUMbbc);
+ CUMbcb += O4 * (-CUMbcb);
+ CUMcbb += O4 * (-CUMcbb);
+ //////////////////////////////////////////////////////////////////////////
+
+
+ //5.
+ CUMbcc += O5 * (-CUMbcc);
+ CUMcbc += O5 * (-CUMcbc);
+ CUMccb += O5 * (-CUMccb);
+
+ //6.
+ CUMccc += O6 * (-CUMccc);
+
+
+
+ //back cumulants to central moments
+ //4.
+ mfcbb = CUMcbb + c1o3*((c3o1*mfcaa + c1o1) * mfabb + c6o1 * mfbba * mfbab) * OOrho;
+ mfbcb = CUMbcb + c1o3*((c3o1*mfaca + c1o1) * mfbab + c6o1 * mfbba * mfabb) * OOrho;
+ mfbbc = CUMbbc + c1o3*((c3o1*mfaac + c1o1) * mfbba + c6o1 * mfbab * mfabb) * OOrho;
+
+ mfcca = CUMcca + (((mfcaa * mfaca + c2o1 * mfbba * mfbba)*c9o1 + c3o1 * (mfcaa + mfaca)) * OOrho - (drho * OOrho))*c1o9;
+ mfcac = CUMcac + (((mfcaa * mfaac + c2o1 * mfbab * mfbab)*c9o1 + c3o1 * (mfcaa + mfaac)) * OOrho - (drho * OOrho))*c1o9;
+ mfacc = CUMacc + (((mfaac * mfaca + c2o1 * mfabb * mfabb)*c9o1 + c3o1 * (mfaac + mfaca)) * OOrho - (drho * OOrho))*c1o9;
+
+ //5.
+ mfbcc = CUMbcc + c1o3 *(c3o1*(mfaac * mfbca + mfaca * mfbac + c4o1 * mfabb * mfbbb + c2o1 * (mfbab * mfacb + mfbba * mfabc)) + (mfbca + mfbac)) * OOrho;
+ mfcbc = CUMcbc + c1o3 *(c3o1*(mfaac * mfcba + mfcaa * mfabc + c4o1 * mfbab * mfbbb + c2o1 * (mfabb * mfcab + mfbba * mfbac)) + (mfcba + mfabc)) * OOrho;
+ mfccb = CUMccb + c1o3 *(c3o1*(mfcaa * mfacb + mfaca * mfcab + c4o1 * mfbba * mfbbb + c2o1 * (mfbab * mfbca + mfabb * mfcba)) + (mfacb + mfcab)) * OOrho;
+
+ //6.
+ mfccc =
+ CUMccc - ((-c4o1 * mfbbb * mfbbb
+ - (mfcaa * mfacc + mfaca * mfcac + mfaac * mfcca)
+ - c4o1 * (mfabb * mfcbb + mfbab * mfbcb + mfbba * mfbbc)
+ - c2o1 * (mfbca * mfbac + mfcba * mfabc + mfcab * mfacb)) * OOrho
+ + (c4o1 * (mfbab * mfbab * mfaca + mfabb * mfabb * mfcaa + mfbba * mfbba * mfaac)
+ + c2o1 * (mfcaa * mfaca * mfaac)
+ + c16o1 * mfbba * mfbab * mfabb) * OOrho * OOrho
+ - c1o3 * (mfacc + mfcac + mfcca) * OOrho
+ - c1o9 * (mfcaa + mfaca + mfaac) * OOrho
+ + (c2o1 * (mfbab * mfbab + mfabb * mfabb + mfbba * mfbba)
+ + (mfaac * mfaca + mfaac * mfcaa + mfaca * mfcaa) + c1o3 *(mfaac + mfaca + mfcaa)) * OOrho * OOrho * c2o3
+ + c1o27*((drho * drho - drho) * OOrho * OOrho ));
+
+ ////////////////////////////////////////////////////////////////////////////////////
+ //the force be with you
+ mfbaa = -mfbaa;
+ mfaba = -mfaba;
+ mfaab = -mfaab;
+ ////////////////////////////////////////////////////////////////////////////////////
+
+
+ ////////////////////////////////////////////////////////////////////////////////////
+ //back
+ ////////////////////////////////////////////////////////////////////////////////////
+ //mit 1, 0, 1/3, 0, 0, 0, 1/3, 0, 1/9 Konditionieren
+ ////////////////////////////////////////////////////////////////////////////////////
+ // X - Dir
+ VF::LBM::backwardInverseChimeraWithK(mfaaa, mfbaa, mfcaa, vvx, vx2, c1o1, c1o1);
+ VF::LBM::backwardChimera( mfaba, mfbba, mfcba, vvx, vx2);
+ VF::LBM::backwardInverseChimeraWithK(mfaca, mfbca, mfcca, vvx, vx2, 3.0f, c1o3);
+ VF::LBM::backwardChimera( mfaab, mfbab, mfcab, vvx, vx2);
+ VF::LBM::backwardChimera( mfabb, mfbbb, mfcbb, vvx, vx2);
+ VF::LBM::backwardChimera( mfacb, mfbcb, mfccb, vvx, vx2);
+ VF::LBM::backwardInverseChimeraWithK(mfaac, mfbac, mfcac, vvx, vx2, 3.0f, c1o3);
+ VF::LBM::backwardChimera( mfabc, mfbbc, mfcbc, vvx, vx2);
+ VF::LBM::backwardInverseChimeraWithK(mfacc, mfbcc, mfccc, vvx, vx2, 9.0f, c1o9);
+
+ ////////////////////////////////////////////////////////////////////////////////////
+ //mit 1/6, 2/3, 1/6, 0, 0, 0, 1/18, 2/9, 1/18 Konditionieren
+ ////////////////////////////////////////////////////////////////////////////////////
+ // Y - Dir
+ VF::LBM::backwardInverseChimeraWithK(mfaaa, mfaba, mfaca, vvy, vy2, 6.0f , c1o6 );
+ VF::LBM::backwardChimera( mfaab, mfabb, mfacb, vvy, vy2);
+ VF::LBM::backwardInverseChimeraWithK(mfaac, mfabc, mfacc, vvy, vy2, 18.0f, c1o18);
+ VF::LBM::backwardInverseChimeraWithK(mfbaa, mfbba, mfbca, vvy, vy2, 1.5f , c2o3 );
+ VF::LBM::backwardChimera( mfbab, mfbbb, mfbcb, vvy, vy2);
+ VF::LBM::backwardInverseChimeraWithK(mfbac, mfbbc, mfbcc, vvy, vy2, 4.5f , c2o9 );
+ VF::LBM::backwardInverseChimeraWithK(mfcaa, mfcba, mfcca, vvy, vy2, 6.0f , c1o6 );
+ VF::LBM::backwardChimera( mfcab, mfcbb, mfccb, vvy, vy2);
+ VF::LBM::backwardInverseChimeraWithK(mfcac, mfcbc, mfccc, vvy, vy2, 18.0f, c1o18);
+
+ ////////////////////////////////////////////////////////////////////////////////////
+ //mit 1/36, 1/9, 1/36, 1/9, 4/9, 1/9, 1/36, 1/9, 1/36 Konditionieren
+ ////////////////////////////////////////////////////////////////////////////////////
+ // Z - Dir
+ VF::LBM::backwardInverseChimeraWithK(mfaaa, mfaab, mfaac, vvz, vz2, 36.0f, c1o36);
+ VF::LBM::backwardInverseChimeraWithK(mfaba, mfabb, mfabc, vvz, vz2, 9.0f , c1o9 );
+ VF::LBM::backwardInverseChimeraWithK(mfaca, mfacb, mfacc, vvz, vz2, 36.0f, c1o36);
+ VF::LBM::backwardInverseChimeraWithK(mfbaa, mfbab, mfbac, vvz, vz2, 9.0f , c1o9 );
+ VF::LBM::backwardInverseChimeraWithK(mfbba, mfbbb, mfbbc, vvz, vz2, 2.25f, c4o9 );
+ VF::LBM::backwardInverseChimeraWithK(mfbca, mfbcb, mfbcc, vvz, vz2, 9.0f , c1o9 );
+ VF::LBM::backwardInverseChimeraWithK(mfcaa, mfcab, mfcac, vvz, vz2, 36.0f, c1o36);
+ VF::LBM::backwardInverseChimeraWithK(mfcba, mfcbb, mfcbc, vvz, vz2, 9.0f , c1o9 );
+ VF::LBM::backwardInverseChimeraWithK(mfcca, mfccb, mfccc, vvz, vz2, 36.0f, c1o36);
+
+ //////////////////////////////////////////////////////////////////////////////////////
+ real drhoPost =
+ ((((mfccc + mfaaa) + (mfaca + mfcac)) + ((mfacc + mfcaa) + (mfaac + mfcca))) +
+ (((mfbac + mfbca) + (mfbaa + mfbcc)) + ((mfabc + mfcba) + (mfaba + mfcbc)) + ((mfacb + mfcab) + (mfaab + mfccb))) +
+ ((mfabb + mfcbb) + (mfbab + mfbcb) + (mfbba + mfbbc))) + mfbbb;
+ mfbbb += drho - drhoPost;
+ ////////////////////////////////////////////////////////////////////////////////////
+ (D.f[dirE ])[k ] = mfabb;
+ (D.f[dirW ])[kw ] = mfcbb;
+ (D.f[dirN ])[k ] = mfbab;
+ (D.f[dirS ])[ks ] = mfbcb;
+ (D.f[dirT ])[k ] = mfbba;
+ (D.f[dirB ])[kb ] = mfbbc;
+ (D.f[dirNE ])[k ] = mfaab;
+ (D.f[dirSW ])[ksw ] = mfccb;
+ (D.f[dirSE ])[ks ] = mfacb;
+ (D.f[dirNW ])[kw ] = mfcab;
+ (D.f[dirTE ])[k ] = mfaba;
+ (D.f[dirBW ])[kbw ] = mfcbc;
+ (D.f[dirBE ])[kb ] = mfabc;
+ (D.f[dirTW ])[kw ] = mfcba;
+ (D.f[dirTN ])[k ] = mfbaa;
+ (D.f[dirBS ])[kbs ] = mfbcc;
+ (D.f[dirBN ])[kb ] = mfbac;
+ (D.f[dirTS ])[ks ] = mfbca;
+ (D.f[dirZERO])[k ] = mfbbb;
+ (D.f[dirTNE ])[k ] = mfaaa;
+ (D.f[dirTSE ])[ks ] = mfaca;
+ (D.f[dirBNE ])[kb ] = mfaac;
+ (D.f[dirBSE ])[kbs ] = mfacc;
+ (D.f[dirTNW ])[kw ] = mfcaa;
+ (D.f[dirTSW ])[ksw ] = mfcca;
+ (D.f[dirBNW ])[kbw ] = mfcac;
+ (D.f[dirBSW ])[kbsw] = mfccc;
+ }
+ }
}
////////////////////////////////////////////////////////////////////////////////
diff --git a/src/gpu/VirtualFluids_GPU/GPU/GPU_Interface.h b/src/gpu/VirtualFluids_GPU/GPU/GPU_Interface.h
index 3589bcea1..fb4a0a556 100644
--- a/src/gpu/VirtualFluids_GPU/GPU/GPU_Interface.h
+++ b/src/gpu/VirtualFluids_GPU/GPU/GPU_Interface.h
@@ -131,6 +131,36 @@ extern "C" void KernelKumNewSP27( unsigned int numberOfThreads,
int size_Mat,
bool EvenOrOdd);
+//////////////////////////////////////////////////////////////////////////
+//! \brief Cumulant LBM kernel
+extern "C" void CumulantK17LBMDeviceKernel(
+ uint numberOfThreads,
+ real omega,
+ uint* typeOfGridNode,
+ uint* neighborX,
+ uint* neighborY,
+ uint* neighborZ,
+ real* distributions,
+ int size_Mat,
+ int level,
+ real* forces,
+ bool isEvenTimestep);
+
+ //////////////////////////////////////////////////////////////////////////
+//! \brief Cumulant LBM kernel
+extern "C" void CumulantK17LBMDeviceKernel_old(
+ uint numberOfThreads,
+ real omega,
+ uint* typeOfGridNode,
+ uint* neighborX,
+ uint* neighborY,
+ uint* neighborZ,
+ real* distributions,
+ int size_Mat,
+ int level,
+ real* forces,
+ bool isEvenTimestep);
+
extern "C" void CumulantOnePreconditionedErrorDiffusionChimCompSP27(
unsigned int numberOfThreads,
real s9,
diff --git a/src/gpu/VirtualFluids_GPU/GPU/GPU_Kernels.cuh b/src/gpu/VirtualFluids_GPU/GPU/GPU_Kernels.cuh
index b41724df4..069682862 100644
--- a/src/gpu/VirtualFluids_GPU/GPU/GPU_Kernels.cuh
+++ b/src/gpu/VirtualFluids_GPU/GPU/GPU_Kernels.cuh
@@ -141,6 +141,35 @@ extern "C" __global__ void LB_Kernel_Kum_Comp_SP_27(real s9,
bool EvenOrOdd);
+/////////////////////////////////////////////////////////////////////////
+//! \brief \ref Cumulant_K17_LBM_Device_Kernel : Cumulant K17 lattice Boltzmann device kernel function
+extern "C" __global__ void Cumulant_K17_LBM_Device_Kernel(
+ real omega,
+ uint* typeOfGridNode,
+ uint* neighborX,
+ uint* neighborY,
+ uint* neighborZ,
+ real* distributions,
+ int size_Mat,
+ int level,
+ real* forces,
+ bool isEvenTimestep);
+
+ /////////////////////////////////////////////////////////////////////////
+//! \brief \ref Cumulant_K17_LBM_Device_Kernel : Cumulant K17 lattice Boltzmann device kernel function
+extern "C" __global__ void Cumulant_K17_LBM_Device_Kernel_old(
+ real omega,
+ uint* typeOfGridNode,
+ uint* neighborX,
+ uint* neighborY,
+ uint* neighborZ,
+ real* distributions,
+ int size_Mat,
+ int level,
+ real* forces,
+ bool isEvenTimestep);
+
+
extern "C" __global__ void Cumulant_One_preconditioned_errorDiffusion_chim_Comp_SP_27(
real omega,
unsigned int* bcMatD,
diff --git a/src/gpu/VirtualFluids_GPU/GPU/LBMKernel.cu b/src/gpu/VirtualFluids_GPU/GPU/LBMKernel.cu
index 41bde987c..0442a5117 100644
--- a/src/gpu/VirtualFluids_GPU/GPU/LBMKernel.cu
+++ b/src/gpu/VirtualFluids_GPU/GPU/LBMKernel.cu
@@ -353,6 +353,72 @@ extern "C" void KernelKumNewCompSP27(unsigned int numberOfThreads,
// EvenOrOdd);
//getLastCudaError("LB_Kernel_Kum_New_Comp_SP_27 execution failed");
}
+
+//////////////////////////////////////////////////////////////////////////
+extern "C" void CumulantK17LBMDeviceKernel(
+ uint numberOfThreads,
+ real omega,
+ uint* typeOfGridNode,
+ uint* neighborX,
+ uint* neighborY,
+ uint* neighborZ,
+ real* distributions,
+ int size_Mat,
+ int level,
+ real* forces,
+ bool isEvenTimestep)
+{
+ int Grid = (size_Mat / numberOfThreads) + 1;
+ dim3 grid(Grid, 1, 1);
+ dim3 threads(numberOfThreads, 1, 1);
+
+ Cumulant_K17_LBM_Device_Kernel <<< grid, threads >>> (
+ omega,
+ typeOfGridNode,
+ neighborX,
+ neighborY,
+ neighborZ,
+ distributions,
+ size_Mat,
+ level,
+ forces,
+ isEvenTimestep);
+ getLastCudaError("Cumulant_K17_AA2016_chim_Comp_SP_27 execution failed");
+}
+
+
+//////////////////////////////////////////////////////////////////////////
+extern "C" void CumulantK17LBMDeviceKernel_old(
+ uint numberOfThreads,
+ real omega,
+ uint* typeOfGridNode,
+ uint* neighborX,
+ uint* neighborY,
+ uint* neighborZ,
+ real* distributions,
+ int size_Mat,
+ int level,
+ real* forces,
+ bool isEvenTimestep)
+{
+ int Grid = (size_Mat / numberOfThreads) + 1;
+ dim3 grid(Grid, 1, 1);
+ dim3 threads(numberOfThreads, 1, 1);
+
+ Cumulant_K17_LBM_Device_Kernel_old <<< grid, threads >>> (
+ omega,
+ typeOfGridNode,
+ neighborX,
+ neighborY,
+ neighborZ,
+ distributions,
+ size_Mat,
+ level,
+ forces,
+ isEvenTimestep);
+ getLastCudaError("Cumulant_K17_AA2016_chim_Comp_SP_27 execution failed");
+}
+
//////////////////////////////////////////////////////////////////////////
extern "C" void CumulantOnePreconditionedErrorDiffusionChimCompSP27(unsigned int numberOfThreads,
real s9,
diff --git a/src/gpu/VirtualFluids_GPU/LBM/D3Q27.h b/src/gpu/VirtualFluids_GPU/LBM/D3Q27.h
index 546dccd46..5e769b603 100644
--- a/src/gpu/VirtualFluids_GPU/LBM/D3Q27.h
+++ b/src/gpu/VirtualFluids_GPU/LBM/D3Q27.h
@@ -21,6 +21,7 @@
#define dirBN /*f17*/ 16
#define dirTS /*f18*/ 17
#define dirZERO /*f0 */ 18
+#define dirREST /*f0 */ 18
#define dirTNE /*f */ 19
#define dirBNE /*f */ 20
diff --git a/src/lbm/ChimeraTests.cpp b/src/lbm/ChimeraTests.cpp
index 2b9e13ad7..9395cb587 100644
--- a/src/lbm/ChimeraTests.cpp
+++ b/src/lbm/ChimeraTests.cpp
@@ -2,6 +2,12 @@
#include "Chimera.h"
+#ifdef VF_DOUBLE_ACCURACY
+#define REAL_EQ(a) testing::DoubleEq(a)
+#else
+#define REAL_EQ(a) testing::FloatEq(a)
+#endif
+
/*
* InverseChimeraWithK
*/
@@ -19,9 +25,9 @@ TEST(ChimeraTest, forwardInverseChimeraWithK)
VF::LBM::forwardInverseChimeraWithK(mfa, mfb, mfc, vv, v2, K, Kinverse);
- EXPECT_THAT(mfa, testing::DoubleEq(3.)); // mfa + mfb + mfc
- EXPECT_THAT(mfb, testing::DoubleEq(-4.)); // -(mfa + mfb + mfc + 1)
- EXPECT_THAT(mfc, testing::DoubleEq(6.)); // (mfa + mfc) + (mfa + mfb + mfc + 1)
+ EXPECT_THAT(mfa, REAL_EQ(3.)); // mfa + mfb + mfc
+ EXPECT_THAT(mfb, REAL_EQ(-4.)); // -(mfa + mfb + mfc + 1)
+ EXPECT_THAT(mfc, REAL_EQ(6.)); // (mfa + mfc) + (mfa + mfb + mfc + 1)
}
@@ -41,9 +47,9 @@ TEST(ChimeraTest, backwardInverseChimeraWithK)
VF::LBM::backwardInverseChimeraWithK(mfa, mfb, mfc, vv, v2, K, Kinverse);
// resulting in the start values from the test above.
- EXPECT_THAT(mfa, testing::DoubleEq(1.));
- EXPECT_THAT(mfb, testing::DoubleEq(1.));
- EXPECT_THAT(mfc, testing::DoubleEq(1.));
+ EXPECT_THAT(mfa, REAL_EQ(1.));
+ EXPECT_THAT(mfb, REAL_EQ(1.));
+ EXPECT_THAT(mfc, REAL_EQ(1.));
}
/*
@@ -60,9 +66,9 @@ TEST(ChimeraTest, forwardChimera)
VF::LBM::forwardChimera(mfa, mfb, mfc, vv, v2);
- EXPECT_THAT(mfa, testing::DoubleEq(3.)); // mfa + mfb + mfc
- EXPECT_THAT(mfb, testing::DoubleEq(-3.)); // -(mfa + mfb + mfc)
- EXPECT_THAT(mfc, testing::DoubleEq(5.)); // (mfa + mfc) + (mfa + mfb + mfc)
+ EXPECT_THAT(mfa, REAL_EQ(3.)); // mfa + mfb + mfc
+ EXPECT_THAT(mfb, REAL_EQ(-3.)); // -(mfa + mfb + mfc)
+ EXPECT_THAT(mfc, REAL_EQ(5.)); // (mfa + mfc) + (mfa + mfb + mfc)
}
@@ -79,9 +85,9 @@ TEST(ChimeraTest, backwardChimera)
VF::LBM::backwardChimera(mfa, mfb, mfc, vv, v2);
// resulting in the start values from the test above.
- EXPECT_THAT(mfa, testing::DoubleEq(1.));
- EXPECT_THAT(mfb, testing::DoubleEq(1.));
- EXPECT_THAT(mfc, testing::DoubleEq(1.));
+ EXPECT_THAT(mfa, REAL_EQ(1.));
+ EXPECT_THAT(mfb, REAL_EQ(1.));
+ EXPECT_THAT(mfc, REAL_EQ(1.));
}
/*
@@ -100,9 +106,9 @@ TEST(ChimeraTest, forwardChimeraWithK)
VF::LBM::forwardChimeraWithK(mfa, mfb, mfc, vv, v2, K);
- EXPECT_THAT(mfa, testing::DoubleEq(3.)); // mfa + mfb + mfc
- EXPECT_THAT(mfb, testing::DoubleEq(-4.)); // -(mfa + mfb + mfc)
- EXPECT_THAT(mfc, testing::DoubleEq(6.)); // (mfa + mfc) + (mfa + mfb + mfc)
+ EXPECT_THAT(mfa, REAL_EQ(3.)); // mfa + mfb + mfc
+ EXPECT_THAT(mfb, REAL_EQ(-4.)); // -(mfa + mfb + mfc)
+ EXPECT_THAT(mfc, REAL_EQ(6.)); // (mfa + mfc) + (mfa + mfb + mfc)
}
@@ -121,7 +127,7 @@ TEST(ChimeraTest, backwardChimeraWithK)
VF::LBM::backwardChimeraWithK(mfa, mfb, mfc, vv, v2, K);
// resulting in the start values from the test above.
- EXPECT_THAT(mfa, testing::DoubleEq(1.));
- EXPECT_THAT(mfb, testing::DoubleEq(1.));
- EXPECT_THAT(mfc, testing::DoubleEq(1.));
+ EXPECT_THAT(mfa, REAL_EQ(1.));
+ EXPECT_THAT(mfb, REAL_EQ(1.));
+ EXPECT_THAT(mfc, REAL_EQ(1.));
}
diff --git a/src/lbm/CumulantChimera.h b/src/lbm/CumulantChimera.h
new file mode 100644
index 000000000..90c3d53cd
--- /dev/null
+++ b/src/lbm/CumulantChimera.h
@@ -0,0 +1,435 @@
+#ifndef LBM_CUMULANT_CHIMERA_H
+#define LBM_CUMULANT_CHIMERA_H
+
+#ifndef __host__
+#define __host__
+#endif
+#ifndef __device__
+#define __device__
+#endif
+
+
+#include <basics/Core/DataTypes.h>
+#include <basics/Core/RealConstants.h>
+
+#include "D3Q27.h"
+#include "Chimera.h"
+#include "MacroscopicQuantities.h"
+
+namespace VF
+{
+namespace LBM
+{
+
+struct Distribution27
+{
+ real f[27];
+
+ inline __host__ __device__ real getDensity_() const
+ {
+ return getDensity(f);
+ }
+};
+
+inline __host__ __device__ Distribution27 cumulantChimera(const Distribution27& distribution, real omega, const real* forces)
+{
+ real mfcbb = distribution.f[DIR::PZZ];
+ real mfabb = distribution.f[DIR::MZZ];
+ real mfbcb = distribution.f[DIR::ZPZ];
+ real mfbab = distribution.f[DIR::ZMZ];
+ real mfbbc = distribution.f[DIR::ZZP];
+ real mfbba = distribution.f[DIR::ZZM];
+ real mfccb = distribution.f[DIR::PPZ];
+ real mfaab = distribution.f[DIR::MMZ];
+ real mfcab = distribution.f[DIR::PMZ];
+ real mfacb = distribution.f[DIR::MPZ];
+ real mfcbc = distribution.f[DIR::PZP];
+ real mfaba = distribution.f[DIR::MZM];
+ real mfcba = distribution.f[DIR::PZM];
+ real mfabc = distribution.f[DIR::MZP];
+ real mfbcc = distribution.f[DIR::ZPP];
+ real mfbaa = distribution.f[DIR::ZMM];
+ real mfbca = distribution.f[DIR::ZPM];
+ real mfbac = distribution.f[DIR::ZMP];
+ real mfccc = distribution.f[DIR::PPP];
+ real mfacc = distribution.f[DIR::MPP];
+ real mfcac = distribution.f[DIR::PMP];
+ real mfaac = distribution.f[DIR::MMP];
+ real mfcca = distribution.f[DIR::PPM];
+ real mfaca = distribution.f[DIR::MPM];
+ real mfcaa = distribution.f[DIR::PMM];
+ real mfaaa = distribution.f[DIR::MMM];
+ real mfbbb = distribution.f[DIR::ZZZ];
+
+ ////////////////////////////////////////////////////////////////////////////////////
+ //! - Calculate density and velocity using pyramid summation for low round-off errors as in Eq. (J1)-(J3) \ref
+ //! <a href="https://doi.org/10.1016/j.camwa.2015.05.001"><b>[ M. Geier et al. (2015), DOI:10.1016/j.camwa 2015.05.001 ]</b></a>
+ //!
+ real drho =
+ ((((mfccc + mfaaa) + (mfaca + mfcac)) + ((mfacc + mfcaa) + (mfaac + mfcca))) +
+ (((mfbac + mfbca) + (mfbaa + mfbcc)) + ((mfabc + mfcba) + (mfaba + mfcbc)) + ((mfacb + mfcab) + (mfaab + mfccb))) +
+ ((mfabb + mfcbb) + (mfbab + mfbcb) + (mfbba + mfbbc))) + mfbbb;
+ real rho = c1o1 + drho;
+ real OOrho = c1o1 / rho;
+ real vvx =
+ ((((mfccc - mfaaa) + (mfcac - mfaca)) + ((mfcaa - mfacc) + (mfcca - mfaac))) +
+ (((mfcba - mfabc) + (mfcbc - mfaba)) + ((mfcab - mfacb) + (mfccb - mfaab))) +
+ (mfcbb - mfabb)) * OOrho;
+ real vvy =
+ ((((mfccc - mfaaa) + (mfaca - mfcac)) + ((mfacc - mfcaa) + (mfcca - mfaac))) +
+ (((mfbca - mfbac) + (mfbcc - mfbaa)) + ((mfacb - mfcab) + (mfccb - mfaab))) +
+ (mfbcb - mfbab)) * OOrho;
+ real vvz =
+ ((((mfccc - mfaaa) + (mfcac - mfaca)) + ((mfacc - mfcaa) + (mfaac - mfcca))) +
+ (((mfbac - mfbca) + (mfbcc - mfbaa)) + ((mfabc - mfcba) + (mfcbc - mfaba))) +
+ (mfbbc - mfbba)) * OOrho;
+ ////////////////////////////////////////////////////////////////////////////////////
+ //! - Add half of the acceleration (body force) to the velocity as in Eq. (42) \ref
+ //! <a href="https://doi.org/10.1016/j.camwa.2015.05.001"><b>[ M. Geier et al. (2015), DOI:10.1016/j.camwa 2015.05.001 ]</b></a>
+ //!
+ vvx += forces[0] * c1o2;
+ vvy += forces[1] * c1o2;
+ vvz += forces[2] * c1o2;
+ ////////////////////////////////////////////////////////////////////////////////////
+ // calculate the square of velocities for this lattice node
+ real vx2 = vvx*vvx;
+ real vy2 = vvy*vvy;
+ real vz2 = vvz*vvz;
+ ////////////////////////////////////////////////////////////////////////////////////
+ //! - Set relaxation limiters for third order cumulants to default value \f$ \lambda=0.001 \f$ according to section 6 in \ref
+ //! <a href="https://doi.org/10.1016/j.jcp.2017.05.040"><b>[ M. Geier et al. (2017), DOI:10.1016/j.jcp.2017.05 040 ]</b></a>
+ //!
+ real wadjust;
+ real qudricLimitP = c1o100;
+ real qudricLimitM = c1o100;
+ real qudricLimitD = c1o100;
+ ////////////////////////////////////////////////////////////////////////////////////
+ //! - Chimera transform from well conditioned distributions to central moments as defined in Appendix J in \ref
+ //! <a href="https://doi.org/10.1016/j.camwa.2015.05.001"><b>[ M. Geier et al. (2015), DOI:10.1016/j.camwa 2015.05.001 ]</b></a>
+ //! see also Eq. (6)-(14) in \ref
+ //! <a href="https://doi.org/10.1016/j.jcp.2017.05.040"><b>[ M. Geier et al. (2017), DOI:10.1016/j.jcp.2017.05 040 ]</b></a>
+ //!
+ ////////////////////////////////////////////////////////////////////////////////////
+ // Z - Dir
+ VF::LBM::forwardInverseChimeraWithK(mfaaa, mfaab, mfaac, vvz, vz2, c36o1, c1o36);
+ VF::LBM::forwardInverseChimeraWithK(mfaba, mfabb, mfabc, vvz, vz2, c9o1, c1o9);
+ VF::LBM::forwardInverseChimeraWithK(mfaca, mfacb, mfacc, vvz, vz2, c36o1, c1o36);
+ VF::LBM::forwardInverseChimeraWithK(mfbaa, mfbab, mfbac, vvz, vz2, c9o1, c1o9);
+ VF::LBM::forwardInverseChimeraWithK(mfbba, mfbbb, mfbbc, vvz, vz2, c9o4, c4o9);
+ VF::LBM::forwardInverseChimeraWithK(mfbca, mfbcb, mfbcc, vvz, vz2, c9o1, c1o9);
+ VF::LBM::forwardInverseChimeraWithK(mfcaa, mfcab, mfcac, vvz, vz2, c36o1, c1o36);
+ VF::LBM::forwardInverseChimeraWithK(mfcba, mfcbb, mfcbc, vvz, vz2, c9o1, c1o9);
+ VF::LBM::forwardInverseChimeraWithK(mfcca, mfccb, mfccc, vvz, vz2, c36o1, c1o36);
+ ////////////////////////////////////////////////////////////////////////////////////
+ // Y - Dir
+ VF::LBM::forwardInverseChimeraWithK(mfaaa, mfaba, mfaca, vvy, vy2, c6o1, c1o6);
+ VF::LBM::forwardChimera( mfaab, mfabb, mfacb, vvy, vy2);
+ VF::LBM::forwardInverseChimeraWithK(mfaac, mfabc, mfacc, vvy, vy2, c18o1, c1o18);
+ VF::LBM::forwardInverseChimeraWithK(mfbaa, mfbba, mfbca, vvy, vy2, c3o2, c2o3);
+ VF::LBM::forwardChimera( mfbab, mfbbb, mfbcb, vvy, vy2);
+ VF::LBM::forwardInverseChimeraWithK(mfbac, mfbbc, mfbcc, vvy, vy2, c9o2, c2o9);
+ VF::LBM::forwardInverseChimeraWithK(mfcaa, mfcba, mfcca, vvy, vy2, c6o1, c1o6);
+ VF::LBM::forwardChimera( mfcab, mfcbb, mfccb, vvy, vy2);
+ VF::LBM::forwardInverseChimeraWithK(mfcac, mfcbc, mfccc, vvy, vy2, c18o1, c1o18);
+ ////////////////////////////////////////////////////////////////////////////////////
+ // X - Dir
+ VF::LBM::forwardInverseChimeraWithK(mfaaa, mfbaa, mfcaa, vvx, vx2, c1o1, c1o1);
+ VF::LBM::forwardChimera( mfaba, mfbba, mfcba, vvx, vx2);
+ VF::LBM::forwardInverseChimeraWithK(mfaca, mfbca, mfcca, vvx, vx2, c3o1, c1o3);
+ VF::LBM::forwardChimera( mfaab, mfbab, mfcab, vvx, vx2);
+ VF::LBM::forwardChimera( mfabb, mfbbb, mfcbb, vvx, vx2);
+ VF::LBM::forwardChimera( mfacb, mfbcb, mfccb, vvx, vx2);
+ VF::LBM::forwardInverseChimeraWithK(mfaac, mfbac, mfcac, vvx, vx2, c3o1, c1o3);
+ VF::LBM::forwardChimera( mfabc, mfbbc, mfcbc, vvx, vx2);
+ VF::LBM::forwardInverseChimeraWithK(mfacc, mfbcc, mfccc, vvx, vx2, c3o1, c1o9);
+ ////////////////////////////////////////////////////////////////////////////////////
+ //! - Setting relaxation rates for non-hydrodynamic cumulants (default values). Variable names and equations according to
+ //! <a href="https://doi.org/10.1016/j.jcp.2017.05.040"><b>[ M. Geier et al. (2017), DOI:10.1016/j.jcp.2017.05 040 ]</b></a>
+ //! => [NAME IN PAPER]=[NAME IN CODE]=[DEFAULT VALUE].
+ //! - Trace of second order cumulants \f$ C_{200}+C_{020}+C_{002} \f$ used to adjust bulk viscosity:\f$\omega_2=OxxPyyPzz=1.0 \f$.
+ //! - Third order cumulants \f$ C_{120}+C_{102}, C_{210}+C_{012}, C_{201}+C_{021} \f$: \f$ \omega_3=OxyyPxzz \f$ set according to Eq. (111) with simplifications assuming \f$ \omega_2=1.0\f$.
+ //! - Third order cumulants \f$ C_{120}-C_{102}, C_{210}-C_{012}, C_{201}-C_{021} \f$: \f$ \omega_4 = OxyyMxzz \f$ set according to Eq. (112) with simplifications assuming \f$ \omega_2 = 1.0\f$.
+ //! - Third order cumulants \f$ C_{111} \f$: \f$ \omega_5 = Oxyz \f$ set according to Eq. (113) with simplifications assuming \f$ \omega_2 = 1.0\f$ (modify for different bulk viscosity).
+ //! - Fourth order cumulants \f$ C_{220}, C_{202}, C_{022}, C_{211}, C_{121}, C_{112} \f$: for simplification all set to the same default value \f$ \omega_6=\omega_7=\omega_8=O4=1.0 \f$.
+ //! - Fifth order cumulants \f$ C_{221}, C_{212}, C_{122}\f$: \f$\omega_9=O5=1.0\f$.
+ //! - Sixth order cumulant \f$ C_{222}\f$: \f$\omega_{10}=O6=1.0\f$.
+ //!
+ ////////////////////////////////////////////////////////////
+ //2.
+ real OxxPyyPzz = c1o1;
+ ////////////////////////////////////////////////////////////
+ //3.
+ real OxyyPxzz = c8o1 * (-c2o1 + omega) * ( c1o1 + c2o1*omega) / (-c8o1 - c14o1*omega + c7o1*omega*omega);
+ real OxyyMxzz = c8o1 * (-c2o1 + omega) * (-c7o1 + c4o1*omega) / (c56o1 - c50o1*omega + c9o1*omega*omega);
+ real Oxyz = c24o1 * (-c2o1 + omega) * (-c2o1 - c7o1*omega + c3o1*omega*omega) / (c48o1 + c152o1*omega - c130o1*omega*omega + c29o1*omega*omega*omega);
+ ////////////////////////////////////////////////////////////
+ //4.
+ real O4 = c1o1;
+ ////////////////////////////////////////////////////////////
+ //5.
+ real O5 = c1o1;
+ ////////////////////////////////////////////////////////////
+ //6.
+ real O6 = c1o1;
+ ////////////////////////////////////////////////////////////////////////////////////
+ //! - A and B: parameters for fourth order convergence of the diffusion term according to Eq. (114) and (115)
+ //! <a href="https://doi.org/10.1016/j.jcp.2017.05.040"><b>[ M. Geier et al. (2017), DOI:10.1016/j.jcp.2017.05 040 ]</b></a>
+ //! with simplifications assuming \f$ \omega_2 = 1.0 \f$ (modify for different bulk viscosity).
+ //!
+ real A = (c4o1 + c2o1*omega - c3o1*omega*omega) / (c2o1 - c7o1*omega + c5o1*omega*omega);
+ real B = (c4o1 + c28o1*omega - c14o1*omega*omega) / (c6o1 - c21o1*omega + c15o1*omega*omega);
+ ////////////////////////////////////////////////////////////////////////////////////
+ //! - Compute cumulants from central moments according to Eq. (20)-(23) in
+ //! <a href="https://doi.org/10.1016/j.jcp.2017.05.040"><b>[ M. Geier et al. (2017), DOI:10.1016/j.jcp.2017.05 040 ]</b></a>
+ //!
+ ////////////////////////////////////////////////////////////
+ //4.
+ real CUMcbb = mfcbb - ((mfcaa + c1o3) * mfabb + c2o1 * mfbba * mfbab) * OOrho;
+ real CUMbcb = mfbcb - ((mfaca + c1o3) * mfbab + c2o1 * mfbba * mfabb) * OOrho;
+ real CUMbbc = mfbbc - ((mfaac + c1o3) * mfbba + c2o1 * mfbab * mfabb) * OOrho;
+ real CUMcca = mfcca - (((mfcaa * mfaca + c2o1 * mfbba * mfbba) + c1o3 * (mfcaa + mfaca)) * OOrho - c1o9*(drho * OOrho));
+ real CUMcac = mfcac - (((mfcaa * mfaac + c2o1 * mfbab * mfbab) + c1o3 * (mfcaa + mfaac)) * OOrho - c1o9*(drho * OOrho));
+ real CUMacc = mfacc - (((mfaac * mfaca + c2o1 * mfabb * mfabb) + c1o3 * (mfaac + mfaca)) * OOrho - c1o9*(drho * OOrho));
+ ////////////////////////////////////////////////////////////
+ //5.
+ real CUMbcc = mfbcc - ((mfaac * mfbca + mfaca * mfbac + c4o1 * mfabb * mfbbb + c2o1 * (mfbab * mfacb + mfbba * mfabc)) + c1o3 * (mfbca + mfbac)) * OOrho;
+ real CUMcbc = mfcbc - ((mfaac * mfcba + mfcaa * mfabc + c4o1 * mfbab * mfbbb + c2o1 * (mfabb * mfcab + mfbba * mfbac)) + c1o3 * (mfcba + mfabc)) * OOrho;
+ real CUMccb = mfccb - ((mfcaa * mfacb + mfaca * mfcab + c4o1 * mfbba * mfbbb + c2o1 * (mfbab * mfbca + mfabb * mfcba)) + c1o3 * (mfacb + mfcab)) * OOrho;
+ ////////////////////////////////////////////////////////////
+ //6.
+ real CUMccc = mfccc + ((-c4o1 * mfbbb * mfbbb
+ - (mfcaa * mfacc + mfaca * mfcac + mfaac * mfcca)
+ - c4o1 * (mfabb * mfcbb + mfbab * mfbcb + mfbba * mfbbc)
+ - c2o1 * (mfbca * mfbac + mfcba * mfabc + mfcab * mfacb)) * OOrho
+ + (c4o1 * (mfbab * mfbab * mfaca + mfabb * mfabb * mfcaa + mfbba * mfbba * mfaac)
+ + c2o1 * (mfcaa * mfaca * mfaac)
+ + c16o1 * mfbba * mfbab * mfabb) * OOrho * OOrho
+ - c1o3 * (mfacc + mfcac + mfcca) * OOrho
+ - c1o9 * (mfcaa + mfaca + mfaac) * OOrho
+ + (c2o1 * (mfbab * mfbab + mfabb * mfabb + mfbba * mfbba)
+ + (mfaac * mfaca + mfaac * mfcaa + mfaca * mfcaa) + c1o3 *(mfaac + mfaca + mfcaa)) * OOrho * OOrho * c2o3
+ + c1o27*((drho * drho - drho) * OOrho * OOrho));
+ ////////////////////////////////////////////////////////////////////////////////////
+ //! - Compute linear combinations of second and third order cumulants
+ //!
+ ////////////////////////////////////////////////////////////
+ //2.
+ real mxxPyyPzz = mfcaa + mfaca + mfaac;
+ real mxxMyy = mfcaa - mfaca;
+ real mxxMzz = mfcaa - mfaac;
+ ////////////////////////////////////////////////////////////
+ //3.
+ real mxxyPyzz = mfcba + mfabc;
+ real mxxyMyzz = mfcba - mfabc;
+ real mxxzPyyz = mfcab + mfacb;
+ real mxxzMyyz = mfcab - mfacb;
+ real mxyyPxzz = mfbca + mfbac;
+ real mxyyMxzz = mfbca - mfbac;
+ ////////////////////////////////////////////////////////////////////////////////////
+ //incl. correction
+ ////////////////////////////////////////////////////////////
+ //! - Compute velocity gradients from second order cumulants according to Eq. (27)-(32)
+ //! <a href="https://doi.org/10.1016/j.jcp.2017.05.040"><b>[ M. Geier et al. (2017), DOI:10.1016/j.jcp.2017.05 040 ]</b></a>
+ //! Further explanations of the correction in viscosity in Appendix H of
+ //! <a href="https://doi.org/10.1016/j.camwa.2015.05.001"><b>[ M. Geier et al. (2015), DOI:10.1016/j.camwa 2015.05.001 ]</b></a>
+ //! Note that the division by rho is omitted here as we need rho times the gradients later.
+ //!
+ real Dxy = -c3o1*omega*mfbba;
+ real Dxz = -c3o1*omega*mfbab;
+ real Dyz = -c3o1*omega*mfabb;
+ real dxux = c1o2 * (-omega) *(mxxMyy + mxxMzz) + c1o2 * OxxPyyPzz * (mfaaa - mxxPyyPzz);
+ real dyuy = dxux + omega * c3o2 * mxxMyy;
+ real dzuz = dxux + omega * c3o2 * mxxMzz;
+ ////////////////////////////////////////////////////////////
+ //! - Relaxation of second order cumulants with correction terms according to Eq. (33)-(35) in
+ //! <a href="https://doi.org/10.1016/j.jcp.2017.05.040"><b>[ M. Geier et al. (2017), DOI:10.1016/j.jcp.2017.05 040 ]</b></a>
+ //!
+ mxxPyyPzz += OxxPyyPzz*(mfaaa - mxxPyyPzz) - c3o1 * (c1o1 - c1o2 * OxxPyyPzz) * (vx2 * dxux + vy2 * dyuy + vz2 * dzuz);
+ mxxMyy += omega * (-mxxMyy) - c3o1 * (c1o1 + c1o2 * (-omega)) * (vx2 * dxux - vy2 * dyuy);
+ mxxMzz += omega * (-mxxMzz) - c3o1 * (c1o1 + c1o2 * (-omega)) * (vx2 * dxux - vz2 * dzuz);
+ ////////////////////////////////////////////////////////////////////////////////////
+ ////no correction
+ //mxxPyyPzz += OxxPyyPzz*(mfaaa - mxxPyyPzz);
+ //mxxMyy += -(-omega) * (-mxxMyy);
+ //mxxMzz += -(-omega) * (-mxxMzz);
+ //////////////////////////////////////////////////////////////////////////
+ mfabb += omega * (-mfabb);
+ mfbab += omega * (-mfbab);
+ mfbba += omega * (-mfbba);
+ ////////////////////////////////////////////////////////////////////////////////////
+ //relax
+ //////////////////////////////////////////////////////////////////////////
+ // incl. limiter
+ //! - Relaxation of third order cumulants including limiter according to Eq. (116)-(123)
+ //! <a href="https://doi.org/10.1016/j.jcp.2017.05.040"><b>[ M. Geier et al. (2017), DOI:10.1016/j.jcp.2017.05 040 ]</b></a>
+ //!
+ wadjust = Oxyz + (c1o1 - Oxyz)*abs(mfbbb) / (abs(mfbbb) + qudricLimitD);
+ mfbbb += wadjust * (-mfbbb);
+ wadjust = OxyyPxzz + (c1o1 - OxyyPxzz)*abs(mxxyPyzz) / (abs(mxxyPyzz) + qudricLimitP);
+ mxxyPyzz += wadjust * (-mxxyPyzz);
+ wadjust = OxyyMxzz + (c1o1 - OxyyMxzz)*abs(mxxyMyzz) / (abs(mxxyMyzz) + qudricLimitM);
+ mxxyMyzz += wadjust * (-mxxyMyzz);
+ wadjust = OxyyPxzz + (c1o1 - OxyyPxzz)*abs(mxxzPyyz) / (abs(mxxzPyyz) + qudricLimitP);
+ mxxzPyyz += wadjust * (-mxxzPyyz);
+ wadjust = OxyyMxzz + (c1o1 - OxyyMxzz)*abs(mxxzMyyz) / (abs(mxxzMyyz) + qudricLimitM);
+ mxxzMyyz += wadjust * (-mxxzMyyz);
+ wadjust = OxyyPxzz + (c1o1 - OxyyPxzz)*abs(mxyyPxzz) / (abs(mxyyPxzz) + qudricLimitP);
+ mxyyPxzz += wadjust * (-mxyyPxzz);
+ wadjust = OxyyMxzz + (c1o1 - OxyyMxzz)*abs(mxyyMxzz) / (abs(mxyyMxzz) + qudricLimitM);
+ mxyyMxzz += wadjust * (-mxyyMxzz);
+ //////////////////////////////////////////////////////////////////////////
+ // no limiter
+ //mfbbb += OxyyMxzz * (-mfbbb);
+ //mxxyPyzz += OxyyPxzz * (-mxxyPyzz);
+ //mxxyMyzz += OxyyMxzz * (-mxxyMyzz);
+ //mxxzPyyz += OxyyPxzz * (-mxxzPyyz);
+ //mxxzMyyz += OxyyMxzz * (-mxxzMyyz);
+ //mxyyPxzz += OxyyPxzz * (-mxyyPxzz);
+ //mxyyMxzz += OxyyMxzz * (-mxyyMxzz);
+ ////////////////////////////////////////////////////////////////////////////////////
+ //! - Compute inverse linear combinations of second and third order cumulants
+ //!
+ mfcaa = c1o3 * (mxxMyy + mxxMzz + mxxPyyPzz);
+ mfaca = c1o3 * (-c2o1* mxxMyy + mxxMzz + mxxPyyPzz);
+ mfaac = c1o3 * (mxxMyy - c2o1* mxxMzz + mxxPyyPzz);
+ mfcba = ( mxxyMyzz + mxxyPyzz) * c1o2;
+ mfabc = (-mxxyMyzz + mxxyPyzz) * c1o2;
+ mfcab = ( mxxzMyyz + mxxzPyyz) * c1o2;
+ mfacb = (-mxxzMyyz + mxxzPyyz) * c1o2;
+ mfbca = ( mxyyMxzz + mxyyPxzz) * c1o2;
+ mfbac = (-mxyyMxzz + mxyyPxzz) * c1o2;
+ //////////////////////////////////////////////////////////////////////////
+ //////////////////////////////////////////////////////////////////////////
+ //4.
+ // no limiter
+ //! - Relax fourth order cumulants to modified equilibrium for fourth order convergence of diffusion according to Eq. (43)-(48)
+ //! <a href="https://doi.org/10.1016/j.jcp.2017.05.040"><b>[ M. Geier et al. (2017), DOI:10.1016/j.jcp.2017.05 040 ]</b></a>
+ //!
+ CUMacc = -O4*(c1o1 / omega - c1o2) * (dyuy + dzuz) * c2o3 * A + (c1o1 - O4) * (CUMacc);
+ CUMcac = -O4*(c1o1 / omega - c1o2) * (dxux + dzuz) * c2o3 * A + (c1o1 - O4) * (CUMcac);
+ CUMcca = -O4*(c1o1 / omega - c1o2) * (dyuy + dxux) * c2o3 * A + (c1o1 - O4) * (CUMcca);
+ CUMbbc = -O4*(c1o1 / omega - c1o2) * Dxy * c1o3 * B + (c1o1 - O4) * (CUMbbc);
+ CUMbcb = -O4*(c1o1 / omega - c1o2) * Dxz * c1o3 * B + (c1o1 - O4) * (CUMbcb);
+ CUMcbb = -O4*(c1o1 / omega - c1o2) * Dyz * c1o3 * B + (c1o1 - O4) * (CUMcbb);
+ //////////////////////////////////////////////////////////////////////////
+ //5.
+ CUMbcc += O5 * (-CUMbcc);
+ CUMcbc += O5 * (-CUMcbc);
+ CUMccb += O5 * (-CUMccb);
+ //////////////////////////////////////////////////////////////////////////
+ //6.
+ CUMccc += O6 * (-CUMccc);
+ ////////////////////////////////////////////////////////////////////////////////////
+ //! - Compute central moments from post collision cumulants according to Eq. (53)-(56) in
+ //! <a href="https://doi.org/10.1016/j.jcp.2017.05.040"><b>[ M. Geier et al. (2017), DOI:10.1016/j.jcp.2017.05 040 ]</b></a>
+ //!
+ //////////////////////////////////////////////////////////////////////////
+ //4.
+ mfcbb = CUMcbb + c1o3*((c3o1*mfcaa + c1o1) * mfabb + c6o1 * mfbba * mfbab) * OOrho;
+ mfbcb = CUMbcb + c1o3*((c3o1*mfaca + c1o1) * mfbab + c6o1 * mfbba * mfabb) * OOrho;
+ mfbbc = CUMbbc + c1o3*((c3o1*mfaac + c1o1) * mfbba + c6o1 * mfbab * mfabb) * OOrho;
+ mfcca = CUMcca + (((mfcaa * mfaca + c2o1 * mfbba * mfbba)*c9o1 + c3o1 * (mfcaa + mfaca)) * OOrho - (drho * OOrho))*c1o9;
+ mfcac = CUMcac + (((mfcaa * mfaac + c2o1 * mfbab * mfbab)*c9o1 + c3o1 * (mfcaa + mfaac)) * OOrho - (drho * OOrho))*c1o9;
+ mfacc = CUMacc + (((mfaac * mfaca + c2o1 * mfabb * mfabb)*c9o1 + c3o1 * (mfaac + mfaca)) * OOrho - (drho * OOrho))*c1o9;
+ //////////////////////////////////////////////////////////////////////////
+ //5.
+ mfbcc = CUMbcc + c1o3 *(c3o1*(mfaac * mfbca + mfaca * mfbac + c4o1 * mfabb * mfbbb + c2o1 * (mfbab * mfacb + mfbba * mfabc)) + (mfbca + mfbac)) * OOrho;
+ mfcbc = CUMcbc + c1o3 *(c3o1*(mfaac * mfcba + mfcaa * mfabc + c4o1 * mfbab * mfbbb + c2o1 * (mfabb * mfcab + mfbba * mfbac)) + (mfcba + mfabc)) * OOrho;
+ mfccb = CUMccb + c1o3 *(c3o1*(mfcaa * mfacb + mfaca * mfcab + c4o1 * mfbba * mfbbb + c2o1 * (mfbab * mfbca + mfabb * mfcba)) + (mfacb + mfcab)) * OOrho;
+ //////////////////////////////////////////////////////////////////////////
+ //6.
+ mfccc = CUMccc - ((-c4o1 * mfbbb * mfbbb
+ - (mfcaa * mfacc + mfaca * mfcac + mfaac * mfcca)
+ - c4o1 * (mfabb * mfcbb + mfbab * mfbcb + mfbba * mfbbc)
+ - c2o1 * (mfbca * mfbac + mfcba * mfabc + mfcab * mfacb)) * OOrho
+ + (c4o1 * (mfbab * mfbab * mfaca + mfabb * mfabb * mfcaa + mfbba * mfbba * mfaac)
+ + c2o1 * (mfcaa * mfaca * mfaac)
+ + c16o1 * mfbba * mfbab * mfabb) * OOrho * OOrho
+ - c1o3 * (mfacc + mfcac + mfcca) * OOrho
+ - c1o9 * (mfcaa + mfaca + mfaac) * OOrho
+ + (c2o1 * (mfbab * mfbab + mfabb * mfabb + mfbba * mfbba)
+ + (mfaac * mfaca + mfaac * mfcaa + mfaca * mfcaa) + c1o3 *(mfaac + mfaca + mfcaa)) * OOrho * OOrho * c2o3
+ + c1o27*((drho * drho - drho) * OOrho * OOrho));
+ ////////////////////////////////////////////////////////////////////////////////////
+ //! - Add acceleration (body force) to first order cumulants according to Eq. (85)-(87) in
+ //! <a href="https://doi.org/10.1016/j.camwa.2015.05.001"><b>[ M. Geier et al. (2015), DOI:10.1016/j.camwa 2015.05.001 ]</b></a>
+ //!
+ mfbaa = -mfbaa;
+ mfaba = -mfaba;
+ mfaab = -mfaab;
+ ////////////////////////////////////////////////////////////////////////////////////
+ //! - Chimera transform from central moments to well conditioned distributions as defined in Appendix J in
+ //! <a href="https://doi.org/10.1016/j.camwa.2015.05.001"><b>[ M. Geier et al. (2015), DOI:10.1016/j.camwa 2015.05.001 ]</b></a>
+ //! see also Eq. (88)-(96) in
+ //! <a href="https://doi.org/10.1016/j.jcp.2017.05.040"><b>[ M. Geier et al. (2017), DOI:10.1016/j.jcp.2017.05 040 ]</b></a>
+ //!
+ ////////////////////////////////////////////////////////////////////////////////////
+ // X - Dir
+ VF::LBM::backwardInverseChimeraWithK(mfaaa, mfbaa, mfcaa, vvx, vx2, c1o1, c1o1);
+ VF::LBM::backwardChimera( mfaba, mfbba, mfcba, vvx, vx2);
+ VF::LBM::backwardInverseChimeraWithK(mfaca, mfbca, mfcca, vvx, vx2, c3o1, c1o3);
+ VF::LBM::backwardChimera( mfaab, mfbab, mfcab, vvx, vx2);
+ VF::LBM::backwardChimera( mfabb, mfbbb, mfcbb, vvx, vx2);
+ VF::LBM::backwardChimera( mfacb, mfbcb, mfccb, vvx, vx2);
+ VF::LBM::backwardInverseChimeraWithK(mfaac, mfbac, mfcac, vvx, vx2, c3o1, c1o3);
+ VF::LBM::backwardChimera( mfabc, mfbbc, mfcbc, vvx, vx2);
+ VF::LBM::backwardInverseChimeraWithK(mfacc, mfbcc, mfccc, vvx, vx2, c9o1, c1o9);
+ ////////////////////////////////////////////////////////////////////////////////////
+ // Y - Dir
+ VF::LBM::backwardInverseChimeraWithK(mfaaa, mfaba, mfaca, vvy, vy2, c6o1, c1o6);
+ VF::LBM::backwardChimera( mfaab, mfabb, mfacb, vvy, vy2);
+ VF::LBM::backwardInverseChimeraWithK(mfaac, mfabc, mfacc, vvy, vy2, c18o1, c1o18);
+ VF::LBM::backwardInverseChimeraWithK(mfbaa, mfbba, mfbca, vvy, vy2, c3o2, c2o3);
+ VF::LBM::backwardChimera( mfbab, mfbbb, mfbcb, vvy, vy2);
+ VF::LBM::backwardInverseChimeraWithK(mfbac, mfbbc, mfbcc, vvy, vy2, c9o2, c2o9);
+ VF::LBM::backwardInverseChimeraWithK(mfcaa, mfcba, mfcca, vvy, vy2, c6o1, c1o6);
+ VF::LBM::backwardChimera( mfcab, mfcbb, mfccb, vvy, vy2);
+ VF::LBM::backwardInverseChimeraWithK(mfcac, mfcbc, mfccc, vvy, vy2, c18o1, c1o18);
+ ////////////////////////////////////////////////////////////////////////////////////
+ // Z - Dir
+ VF::LBM::backwardInverseChimeraWithK(mfaaa, mfaab, mfaac, vvz, vz2, c36o1, c1o36);
+ VF::LBM::backwardInverseChimeraWithK(mfaba, mfabb, mfabc, vvz, vz2, c9o1, c1o9);
+ VF::LBM::backwardInverseChimeraWithK(mfaca, mfacb, mfacc, vvz, vz2, c36o1, c1o36);
+ VF::LBM::backwardInverseChimeraWithK(mfbaa, mfbab, mfbac, vvz, vz2, c9o1, c1o9);
+ VF::LBM::backwardInverseChimeraWithK(mfbba, mfbbb, mfbbc, vvz, vz2, c9o4, c4o9);
+ VF::LBM::backwardInverseChimeraWithK(mfbca, mfbcb, mfbcc, vvz, vz2, c9o1, c1o9);
+ VF::LBM::backwardInverseChimeraWithK(mfcaa, mfcab, mfcac, vvz, vz2, c36o1, c1o36);
+ VF::LBM::backwardInverseChimeraWithK(mfcba, mfcbb, mfcbc, vvz, vz2, c9o1, c1o9);
+ VF::LBM::backwardInverseChimeraWithK(mfcca, mfccb, mfccc, vvz, vz2, c36o1, c1o36);
+
+ Distribution27 distribution_calculated;
+
+ distribution_calculated.f[DIR::PZZ] = mfcbb;
+ distribution_calculated.f[DIR::MZZ] = mfabb;
+ distribution_calculated.f[DIR::ZPZ] = mfbcb;
+ distribution_calculated.f[DIR::ZMZ] = mfbab;
+ distribution_calculated.f[DIR::ZZP] = mfbbc;
+ distribution_calculated.f[DIR::ZZM] = mfbba;
+ distribution_calculated.f[DIR::PPZ] = mfccb;
+ distribution_calculated.f[DIR::MMZ] = mfaab;
+ distribution_calculated.f[DIR::PMZ] = mfcab;
+ distribution_calculated.f[DIR::MPZ] = mfacb;
+ distribution_calculated.f[DIR::PZP] = mfcbc;
+ distribution_calculated.f[DIR::MZM] = mfaba;
+ distribution_calculated.f[DIR::PZM] = mfcba;
+ distribution_calculated.f[DIR::MZP] = mfabc;
+ distribution_calculated.f[DIR::ZPP] = mfbcc;
+ distribution_calculated.f[DIR::ZMM] = mfbaa;
+ distribution_calculated.f[DIR::ZPM] = mfbca;
+ distribution_calculated.f[DIR::ZMP] = mfbac;
+ distribution_calculated.f[DIR::PPP] = mfccc;
+ distribution_calculated.f[DIR::MPP] = mfacc;
+ distribution_calculated.f[DIR::PMP] = mfcac;
+ distribution_calculated.f[DIR::MMP] = mfaac;
+ distribution_calculated.f[DIR::PPM] = mfcca;
+ distribution_calculated.f[DIR::MPM] = mfaca;
+ distribution_calculated.f[DIR::PMM] = mfcaa;
+ distribution_calculated.f[DIR::MMM] = mfaaa;
+ distribution_calculated.f[DIR::ZZZ] = mfbbb;
+
+ return distribution_calculated;
+}
+
+}
+}
+#endif
diff --git a/src/lbm/D3Q27.h b/src/lbm/D3Q27.h
index b07c0e721..4eaac9f7f 100644
--- a/src/lbm/D3Q27.h
+++ b/src/lbm/D3Q27.h
@@ -36,6 +36,34 @@ static constexpr int BSE = 24;
static constexpr int BSW = 25;
static constexpr int REST = 26;
+static constexpr int PZZ = 0;
+static constexpr int MZZ = 1;
+static constexpr int ZPZ = 2;
+static constexpr int ZMZ = 3;
+static constexpr int ZZP = 4;
+static constexpr int ZZM = 5;
+static constexpr int PPZ = 6;
+static constexpr int MMZ = 7;
+static constexpr int PMZ = 8;
+static constexpr int MPZ = 9;
+static constexpr int PZP = 10;
+static constexpr int MZM = 11;
+static constexpr int PZM = 12;
+static constexpr int MZP = 13;
+static constexpr int ZPP = 14;
+static constexpr int ZMM = 15;
+static constexpr int ZPM = 16;
+static constexpr int ZMP = 17;
+static constexpr int PPP = 18;
+static constexpr int MPP = 19;
+static constexpr int PMP = 20;
+static constexpr int MMP = 21;
+static constexpr int PPM = 22;
+static constexpr int MPM = 23;
+static constexpr int PMM = 24;
+static constexpr int MMM = 25;
+static constexpr int ZZZ = 26;
+
}
}
}
--
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