diff --git a/CMake/cmake_config_files/PHOENIX.config.cmake b/CMake/cmake_config_files/PHOENIX.config.cmake
index 14fe65bc950f29347c30f413b46ad599f91ebcdb..2f576538c106a6a4d83509a49a1408a8d63efbdb 100644
--- a/CMake/cmake_config_files/PHOENIX.config.cmake
+++ b/CMake/cmake_config_files/PHOENIX.config.cmake
@@ -44,5 +44,4 @@ SET(BOOST_LIBRARYDIR "/cluster/lib/boost/1.63.0/gcc/lib" CACHE PATH "BOOST_LIB
#SET(VTK_DIR "/home/stelenz/software/vtk/VTK-8.1.0/build" CACHE PATH "VTK directory override" FORCE)
## nvidia
-set(NVCUDASAMPLES_ROOT "/cluster/cuda/11.0/samples")
set(CMAKE_CUDA_ARCHITECTURES 60) # NVIDIA Tesla P100
\ No newline at end of file
diff --git a/src/cpu/VirtualFluidsCore/BoundaryConditions/BCAlgorithm.cpp b/src/cpu/VirtualFluidsCore/BoundaryConditions/BCAlgorithm.cpp
index 8737b8c04d9c2546c30cc6657e6f17d295bd542f..61b427e323dce214240f439eb0ff45c62029e05f 100644
--- a/src/cpu/VirtualFluidsCore/BoundaryConditions/BCAlgorithm.cpp
+++ b/src/cpu/VirtualFluidsCore/BoundaryConditions/BCAlgorithm.cpp
@@ -36,12 +36,7 @@
#include "BCArray3D.h"
#include "BoundaryConditions.h"
#include "EsoTwist3D.h"
-#include "BCArray3D.h"
-
-BCAlgorithm::BCAlgorithm() : compressible(false), thixotropy(false)
-{
-}
//////////////////////////////////////////////////////////////////////////
void BCAlgorithm::setNodeIndex(int x1, int x2, int x3)
{
diff --git a/src/cpu/VirtualFluidsCore/BoundaryConditions/BCAlgorithm.h b/src/cpu/VirtualFluidsCore/BoundaryConditions/BCAlgorithm.h
index 3adbed44871d82ef896fabd7834b6fb16e35b285..734aa9342df011846ce345ba7c37a181383e8828 100644
--- a/src/cpu/VirtualFluidsCore/BoundaryConditions/BCAlgorithm.h
+++ b/src/cpu/VirtualFluidsCore/BoundaryConditions/BCAlgorithm.h
@@ -47,50 +47,50 @@ class BoundaryConditions;
class BCAlgorithm
{
public:
- static const char VelocityBCAlgorithm = 0;
- static const char EqDensityBCAlgorithm = 1;
- static const char NonEqDensityBCAlgorithm = 2;
- static const char NoSlipBCAlgorithm = 3;
- static const char SlipBCAlgorithm = 4;
- static const char HighViscosityNoSlipBCAlgorithm = 5;
- static const char ThinWallNoSlipBCAlgorithm = 6;
- static const char VelocityWithDensityBCAlgorithm = 7;
- static const char NonReflectingOutflowBCAlgorithm = 8;
- static const char VelocityAndThixotropyBCAlgorithm = 9;
- static const char DensityAndThixotropyBCAlgorithm = 10;
- static const char NoSlipAndThixotropyBCAlgorithm = 11;
- static const char NonReflectingOutflowAndThixotropyBCAlgorithm = 12;
- static const char VelocityWithDensityAndThixotropyBCAlgorithm = 13;
- static const char BinghamModelNoSlipBCAlgorithm = 14;
- static const char HerschelBulkleyModelNoSlipBCAlgorithm = 15;
- static const char SimpleVelocityBCAlgorithm = 16;
- static const char SimpleSlipBCAlgorithm = 17;
- static const char PowellEyringModelNoSlipBCAlgorithm = 18;
- static const char BinghamModelVelocityBCAlgorithm = 19;
+ static const char VelocityBCAlgorithm = 0;
+ static const char EqDensityBCAlgorithm = 1;
+ static const char NonEqDensityBCAlgorithm = 2;
+ static const char NoSlipBCAlgorithm = 3;
+ static const char SlipBCAlgorithm = 4;
+ static const char HighViscosityNoSlipBCAlgorithm = 5;
+ static const char ThinWallNoSlipBCAlgorithm = 6;
+ static const char VelocityWithDensityBCAlgorithm = 7;
+ static const char NonReflectingOutflowBCAlgorithm = 8;
+ static const char VelocityAndThixotropyBCAlgorithm = 9;
+ static const char DensityAndThixotropyBCAlgorithm = 10;
+ static const char NoSlipAndThixotropyBCAlgorithm = 11;
+ static const char NonReflectingOutflowAndThixotropyBCAlgorithm = 12;
+ static const char VelocityWithDensityAndThixotropyBCAlgorithm = 13;
+ static const char BinghamModelNoSlipBCAlgorithm = 14;
+ static const char HerschelBulkleyModelNoSlipBCAlgorithm = 15;
+ static const char SimpleVelocityBCAlgorithm = 16;
+ static const char SimpleSlipBCAlgorithm = 17;
+ static const char PowellEyringModelNoSlipBCAlgorithm = 18;
+ static const char BinghamModelVelocityBCAlgorithm = 19;
public:
- BCAlgorithm();
- virtual ~BCAlgorithm() {}
-
- virtual void addDistributions(SPtr<DistributionArray3D> distributions) = 0;
- void setNodeIndex(int x1, int x2, int x3);
- void setBcPointer(SPtr<BoundaryConditions> bcPtr);
- void setCompressible(bool c);
- void setCollFactor(LBMReal cf);
- char getType();
- bool isPreCollision();
- virtual SPtr<BCAlgorithm> clone() = 0;
- SPtr<BCArray3D> getBcArray();
- void setBcArray(SPtr<BCArray3D> bcarray);
- virtual void applyBC() = 0;
- bool getThixotropy(){ return thixotropy;};
+ BCAlgorithm() = default;
+ virtual ~BCAlgorithm() = default;
+
+ virtual void addDistributions(SPtr<DistributionArray3D> distributions) = 0;
+ void setNodeIndex(int x1, int x2, int x3);
+ void setBcPointer(SPtr<BoundaryConditions> bcPtr);
+ void setCompressible(bool c);
+ void setCollFactor(LBMReal cf);
+ char getType();
+ bool isPreCollision();
+ virtual SPtr<BCAlgorithm> clone() = 0;
+ SPtr<BCArray3D> getBcArray();
+ void setBcArray(SPtr<BCArray3D> bcarray);
+ virtual void applyBC() = 0;
+ bool getThixotropy(){ return thixotropy; };
protected:
- bool compressible;
- char type;
- bool preCollision;
- bool thixotropy;
+ bool compressible { false };
+ char type;
+ bool preCollision;
+ bool thixotropy { false };
SPtr<BoundaryConditions> bcPtr;
SPtr<DistributionArray3D> distributions;
diff --git a/src/cpu/VirtualFluidsCore/BoundaryConditions/BoundaryConditions.h b/src/cpu/VirtualFluidsCore/BoundaryConditions/BoundaryConditions.h
index 9539139ed77841218695f0ae687e3a13ec7758f9..84ba7a6041d38546da03323f35a23f7084df9809 100644
--- a/src/cpu/VirtualFluidsCore/BoundaryConditions/BoundaryConditions.h
+++ b/src/cpu/VirtualFluidsCore/BoundaryConditions/BoundaryConditions.h
@@ -46,28 +46,16 @@
//! Difenition of baundary conditions in grid generation
class BoundaryConditions
{
- // public:
- // enum BcAlgorithm{VelocityBC, SlipBC, NoSlipBC, ThinWallNoSlipBC, HighViscosityNoSlipBC, EqDensityBC,
- // NonEqDensityBC, NonReflectingVelocityBC, NonReflectingDensityBC};
public:
BoundaryConditions()
- : noslipBoundaryFlags(0), slipBoundaryFlags(0), velocityBoundaryFlags(0), densityBoundaryFlags(0),
- wallModelBoundaryFlags(0), bcVelocityX1(0.0f), bcVelocityX2(0.0f), bcVelocityX3(0.0f), bcDensity(0.0f)
- //, bcThixotropy(0.0f)
- ,
- bcLodiDensity(0.0f), bcLodiVelocityX1(0.0f), bcLodiVelocityX2(0.0f), bcLodiVelocityX3(0.0f),
- bcLodiLentgh(0.0f), nx1(0.0f), nx2(0.0f), nx3(0.0f), algorithmType(-1)
{
- // wenn folgendes nicht geht, dann hat man weiter unten bei der bit-geschichte ein ernstes problem!!!
UB_STATIC_ASSERT(sizeof(long long) >= 8);
- // UB_STATIC_ASSERT( sizeof(double) >= 16);
- // UB_STATIC_ASSERT( sizeof(long long) == 32);
UB_STATIC_ASSERT((sizeof(long long) * 8) >= (D3Q27System::FENDDIR + 1) * BoundaryConditions::optionDigits);
for (int fdir = D3Q27System::FSTARTDIR; fdir <= D3Q27System::FENDDIR; fdir++)
q[fdir] = -999.;
}
- virtual ~BoundaryConditions() {}
+ virtual ~BoundaryConditions() = default;
virtual bool isEmpty()
{
@@ -94,9 +82,9 @@ protected:
if ((secOpt + 1) > maxOptionVal)
throw UbException(UB_EXARGS, "error: option > " + UbSystem::toString(maxOptionVal - 1));
- // alle digits an den betreffenden postionen auf "0"
+ // all digits at the respective positions to "0"
flag &= ~(maxOptionVal << (direction * optionDigits));
- // alle digitsan den betreffenden postionen entsprechend der marke setzen
+ // set all digits according to the flag at the respective positions
flag |= ((long long)(secOpt + 1) << (direction * optionDigits));
}
@@ -344,35 +332,33 @@ public:
char getBcAlgorithmType() { return algorithmType; }
public:
- static const int optionDigits =
- 2; //--> 3 bits fr secondary Option --> maxOptionVal = 7, da man mit drei Digits max die 7 darstellen kann
+ static const int optionDigits = 2; //--> 2 bits for secondary Option --> maxOptionVal = 7
static const long long maxOptionVal; // = ( 1<<optionDigits ) - 1; //2^3-1 -> 7
protected:
float q[D3Q27System::FENDDIR + 1];
- // float q[D3Q27System::STARTF+1];
- long long noslipBoundaryFlags;
- long long slipBoundaryFlags;
- long long velocityBoundaryFlags;
- long long densityBoundaryFlags;
- long long wallModelBoundaryFlags;
+ long long noslipBoundaryFlags{ 0 };
+ long long slipBoundaryFlags{ 0 };
+ long long velocityBoundaryFlags{ 0 };
+ long long densityBoundaryFlags{ 0 };
+ long long wallModelBoundaryFlags{ 0 };
- float bcVelocityX1;
- float bcVelocityX2;
- float bcVelocityX3;
- float bcDensity;
- // float bcThixotropy;
+ float bcVelocityX1{ 0.0f };
+ float bcVelocityX2{ 0.0f };
+ float bcVelocityX3{ 0.0f };
+ float bcDensity{ 0.0f };
+ // float bcThixotropy{ 0.0f };
- float bcLodiDensity;
- float bcLodiVelocityX1;
- float bcLodiVelocityX2;
- float bcLodiVelocityX3;
- float bcLodiLentgh;
+ float bcLodiDensity{ 0.0f };
+ float bcLodiVelocityX1{ 0.0f };
+ float bcLodiVelocityX2{ 0.0f };
+ float bcLodiVelocityX3{ 0.0f };
+ float bcLodiLentgh{ 0.0f };
- float nx1, nx2, nx3;
+ float nx1{ 0.0f }, nx2{ 0.0f }, nx3{ 0.0f };
- char algorithmType;
+ char algorithmType { -1 };
private:
friend class MPIIORestartCoProcessor;
@@ -380,5 +366,4 @@ private:
friend class MPIIOMigrationBECoProcessor;
};
-
#endif
diff --git a/src/cpu/VirtualFluidsCore/CMakeLists.txt b/src/cpu/VirtualFluidsCore/CMakeLists.txt
index 3506f0b76399043cbe546ea44ef4b57bd2d794c3..09766e266935ed1c7d89223c0713363f4df5edcf 100644
--- a/src/cpu/VirtualFluidsCore/CMakeLists.txt
+++ b/src/cpu/VirtualFluidsCore/CMakeLists.txt
@@ -1,21 +1,19 @@
+set(VF_LIBRARIES)
+
IF(${USE_METIS} AND METIS_RELEASE_LIBRARY AND METIS_DEBUG_LIBRARY)
- SET(LINK_LIBRARY optimized ${METIS_RELEASE_LIBRARY} debug ${METIS_DEBUG_LIBRARY})
- SET(CAB_ADDITIONAL_LINK_LIBRARIES ${CAB_ADDITIONAL_LINK_LIBRARIES} ${LINK_LIBRARY})
+ list(APPEND VF_LIBRARIES optimized ${METIS_RELEASE_LIBRARY} debug ${METIS_DEBUG_LIBRARY})
ELSE()
- SET(CAB_ADDITIONAL_LINK_LIBRARIES ${CAB_ADDITIONAL_LINK_LIBRARIES} metis)
+ list(APPEND VF_LIBRARIES metis)
ENDIF()
IF(${USE_VTK})
- SET(LINK_LIBRARY optimized ${VTK_LIBRARIES} debug ${VTK_LIBRARIES})
- SET(CAB_ADDITIONAL_LINK_LIBRARIES ${CAB_ADDITIONAL_LINK_LIBRARIES} ${LINK_LIBRARY})
+ list(APPEND VF_LIBRARIES optimized ${VTK_LIBRARIES} debug ${VTK_LIBRARIES})
ENDIF()
IF(${USE_CATALYST})
- SET(LINK_LIBRARY optimized vtkPVPythonCatalyst debug vtkPVPythonCatalyst )
- SET(CAB_ADDITIONAL_LINK_LIBRARIES ${CAB_ADDITIONAL_LINK_LIBRARIES} ${LINK_LIBRARY})
- SET(LINK_LIBRARY optimized vtkParallelMPI debug vtkParallelMPI )
- SET(CAB_ADDITIONAL_LINK_LIBRARIES ${CAB_ADDITIONAL_LINK_LIBRARIES} ${LINK_LIBRARY})
+ list(APPEND VF_LIBRARIES optimized vtkPVPythonCatalyst debug vtkPVPythonCatalyst)
+ list(APPEND VF_LIBRARIES optimized vtkParallelMPI debug vtkParallelMPI )
ENDIF()
@@ -24,10 +22,10 @@ IF(${USE_DEM_COUPLING})
ENDIF()
if(BUILD_USE_OPENMP)
- list(APPEND CAB_ADDITIONAL_LINK_LIBRARIES OpenMP::OpenMP_CXX)
+ list(APPEND VF_LIBRARIES OpenMP::OpenMP_CXX)
endif()
-vf_add_library(BUILDTYPE static PUBLIC_LINK basics muparser MPI::MPI_CXX ${CAB_ADDITIONAL_LINK_LIBRARIES})
+vf_add_library(BUILDTYPE static PUBLIC_LINK basics muparser MPI::MPI_CXX ${VF_LIBRARIES})
vf_get_library_name(library_name)
diff --git a/src/cpu/VirtualFluidsCore/CoProcessors/WriteBoundaryConditionsCoProcessor.cpp b/src/cpu/VirtualFluidsCore/CoProcessors/WriteBoundaryConditionsCoProcessor.cpp
index e1f45387908b33e0cf9a8dd887f3382304e6c1b4..117088f67aa0e832608d96480e15bde2fb5dec3b 100644
--- a/src/cpu/VirtualFluidsCore/CoProcessors/WriteBoundaryConditionsCoProcessor.cpp
+++ b/src/cpu/VirtualFluidsCore/CoProcessors/WriteBoundaryConditionsCoProcessor.cpp
@@ -147,8 +147,6 @@ void WriteBoundaryConditionsCoProcessor::addDataGeo(SPtr<Block3D> block)
SPtr<ILBMKernel> kernel = block->getKernel();
SPtr<BCArray3D> bcArray = kernel->getBCProcessor()->getBCArray();
- // knotennummerierung faengt immer bei 0 an!
- int SWB = 0, SEB = 0, NEB = 0, NWB = 0, SWT = 0, SET = 0, NET = 0, NWT = 0;
int minX1 = 0;
int minX2 = 0;
@@ -206,6 +204,9 @@ void WriteBoundaryConditionsCoProcessor::addDataGeo(SPtr<Block3D> block)
maxX2 -= 1;
maxX3 -= 1;
+ // knotennummerierung faengt immer bei 0 an!
+ int SWB = 0, SEB = 0, NEB = 0, NWB = 0, SWT = 0, SET = 0, NET = 0, NWT = 0;
+
// cell vector erstellen
for (int ix3 = minX3; ix3 <= maxX3; ix3++) {
for (int ix2 = minX2; ix2 <= maxX2; ix2++) {
diff --git a/src/cpu/VirtualFluidsCore/CoProcessors/WriteMacroscopicQuantitiesCoProcessor.cpp b/src/cpu/VirtualFluidsCore/CoProcessors/WriteMacroscopicQuantitiesCoProcessor.cpp
index 04191a9927f34d8616ae5bcb1d9670432e5ddb0e..f12023be05f6fdabf694f7508e0c46aca96d8e15 100644
--- a/src/cpu/VirtualFluidsCore/CoProcessors/WriteMacroscopicQuantitiesCoProcessor.cpp
+++ b/src/cpu/VirtualFluidsCore/CoProcessors/WriteMacroscopicQuantitiesCoProcessor.cpp
@@ -47,7 +47,6 @@
#include "basics/writer/WbWriterVtkXmlASCII.h"
WriteMacroscopicQuantitiesCoProcessor::WriteMacroscopicQuantitiesCoProcessor() = default;
-
//////////////////////////////////////////////////////////////////////////
WriteMacroscopicQuantitiesCoProcessor::WriteMacroscopicQuantitiesCoProcessor(SPtr<Grid3D> grid, SPtr<UbScheduler> s,
const std::string &path,
@@ -111,8 +110,7 @@ void WriteMacroscopicQuantitiesCoProcessor::collectData(double step)
std::vector<std::string> cellDataNames;
std::vector<std::string> pieces = comm->gather(piece);
- if (comm->getProcessID() == comm->getRoot())
- {
+ if (comm->getProcessID() == comm->getRoot()) {
std::string pname =
WbWriterVtkXmlASCII::getInstance()->writeParallelFile(pfilePath, pieces, datanames, cellDataNames);
found = pname.find_last_of("/");
diff --git a/src/cpu/VirtualFluidsCore/Data/DataSet3D.h b/src/cpu/VirtualFluidsCore/Data/DataSet3D.h
index e869c39cdf1f305c5adaee1d1c803c9902c301ee..4930beeab491caf541c436a2e60b326b7cd54c64 100644
--- a/src/cpu/VirtualFluidsCore/Data/DataSet3D.h
+++ b/src/cpu/VirtualFluidsCore/Data/DataSet3D.h
@@ -36,149 +36,150 @@
#include <PointerDefinitions.h>
-#include "basics/container/CbArray4D.h"
-#include "basics/container/CbArray3D.h"
#include "DistributionArray3D.h"
+#include "basics/container/CbArray3D.h"
+#include "basics/container/CbArray4D.h"
-typedef CbArray4D<LBMReal,IndexerX4X3X2X1> AverageValuesArray3D;
-typedef CbArray4D<LBMReal,IndexerX4X3X2X1> ShearStressValuesArray3D;
-typedef CbArray3D<LBMReal, IndexerX3X2X1> RelaxationFactorArray3D;
+using AverageValuesArray3D = CbArray4D<LBMReal, IndexerX4X3X2X1>;
+using ShearStressValuesArray3D = CbArray4D<LBMReal, IndexerX4X3X2X1>;
+using RelaxationFactorArray3D = CbArray3D<LBMReal, IndexerX3X2X1>;
+//! A class provides an interface for data structures in the kernel.
class DataSet3D
{
public:
- SPtr<DistributionArray3D> getFdistributions() const;
- void setFdistributions(SPtr<DistributionArray3D> distributions);
+ SPtr<DistributionArray3D> getFdistributions() const;
+ void setFdistributions(SPtr<DistributionArray3D> distributions);
+
+ SPtr<DistributionArray3D> getHdistributions() const;
+ void setHdistributions(SPtr<DistributionArray3D> distributions);
+
+ SPtr<AverageValuesArray3D> getAverageDensity() const;
+ void setAverageDensity(SPtr<AverageValuesArray3D> values);
- SPtr<DistributionArray3D> getHdistributions() const;
- void setHdistributions(SPtr<DistributionArray3D> distributions);
+ SPtr<AverageValuesArray3D> getAverageVelocity() const;
+ void setAverageVelocity(SPtr<AverageValuesArray3D> values);
- SPtr<AverageValuesArray3D> getAverageDensity() const;
- void setAverageDensity(SPtr<AverageValuesArray3D> values);
+ SPtr<AverageValuesArray3D> getAverageFluctuations() const;
+ void setAverageFluctuations(SPtr<AverageValuesArray3D> values);
- SPtr<AverageValuesArray3D> getAverageVelocity() const;
- void setAverageVelocity(SPtr<AverageValuesArray3D> values);
+ SPtr<AverageValuesArray3D> getAverageTriplecorrelations() const;
+ void setAverageTriplecorrelations(SPtr<AverageValuesArray3D> values);
- SPtr<AverageValuesArray3D> getAverageFluctuations() const;
- void setAverageFluctuations(SPtr<AverageValuesArray3D> values);
+ SPtr<AverageValuesArray3D> getAverageValues() const;
+ void setAverageValues(SPtr<AverageValuesArray3D> values);
- SPtr<AverageValuesArray3D> getAverageTriplecorrelations() const;
- void setAverageTriplecorrelations(SPtr<AverageValuesArray3D> values);
-
- SPtr<AverageValuesArray3D> getAverageValues() const;
- void setAverageValues(SPtr<AverageValuesArray3D> values);
-
- SPtr<ShearStressValuesArray3D> getShearStressValues() const;
- void setShearStressValues(SPtr<ShearStressValuesArray3D> values);
+ SPtr<ShearStressValuesArray3D> getShearStressValues() const;
+ void setShearStressValues(SPtr<ShearStressValuesArray3D> values);
- SPtr<RelaxationFactorArray3D> getRelaxationFactor() const;
- void setRelaxationFactor(SPtr<RelaxationFactorArray3D> values);
+ SPtr<RelaxationFactorArray3D> getRelaxationFactor() const;
+ void setRelaxationFactor(SPtr<RelaxationFactorArray3D> values);
protected:
private:
- SPtr<DistributionArray3D> fdistributions;
+ SPtr<DistributionArray3D> fdistributions;
- SPtr<DistributionArray3D> hdistributions;
+ SPtr<DistributionArray3D> hdistributions;
- SPtr<AverageValuesArray3D> averageValues;
+ SPtr<AverageValuesArray3D> averageValues;
- SPtr<AverageValuesArray3D> averageDensity;
- SPtr<AverageValuesArray3D> averageVelocity;
- SPtr<AverageValuesArray3D> averageFluktuations;
- SPtr<AverageValuesArray3D> averageTriplecorrelations;
+ SPtr<AverageValuesArray3D> averageDensity;
+ SPtr<AverageValuesArray3D> averageVelocity;
+ SPtr<AverageValuesArray3D> averageFluktuations;
+ SPtr<AverageValuesArray3D> averageTriplecorrelations;
- SPtr<ShearStressValuesArray3D> shearStressValues;
+ SPtr<ShearStressValuesArray3D> shearStressValues;
- SPtr<RelaxationFactorArray3D> relaxationFactor;
+ SPtr<RelaxationFactorArray3D> relaxationFactor;
};
inline SPtr<DistributionArray3D> DataSet3D::getFdistributions() const
-{
- return fdistributions;
+{
+ return fdistributions;
}
inline void DataSet3D::setFdistributions(SPtr<DistributionArray3D> distributions)
-{
- fdistributions = distributions;
+{
+ fdistributions = distributions;
}
inline SPtr<DistributionArray3D> DataSet3D::getHdistributions() const
{
- return hdistributions;
+ return hdistributions;
}
inline void DataSet3D::setHdistributions(SPtr<DistributionArray3D> distributions)
{
- hdistributions = distributions;
+ hdistributions = distributions;
}
inline SPtr<AverageValuesArray3D> DataSet3D::getAverageValues() const
-{
- return averageValues;
+{
+ return averageValues;
}
inline void DataSet3D::setAverageValues(SPtr<AverageValuesArray3D> values)
-{
- averageValues = values;
+{
+ averageValues = values;
}
inline SPtr<AverageValuesArray3D> DataSet3D::getAverageDensity() const
{
- return averageDensity;
+ return averageDensity;
}
inline void DataSet3D::setAverageDensity(SPtr<AverageValuesArray3D> values)
{
- averageDensity = values;
+ averageDensity = values;
}
inline SPtr<AverageValuesArray3D> DataSet3D::getAverageVelocity() const
{
- return averageVelocity;
+ return averageVelocity;
}
inline void DataSet3D::setAverageVelocity(SPtr<AverageValuesArray3D> values)
{
- averageVelocity = values;
+ averageVelocity = values;
}
inline SPtr<AverageValuesArray3D> DataSet3D::getAverageFluctuations() const
{
- return averageFluktuations;
+ return averageFluktuations;
}
inline void DataSet3D::setAverageFluctuations(SPtr<AverageValuesArray3D> values)
{
- averageFluktuations = values;
+ averageFluktuations = values;
}
inline SPtr<AverageValuesArray3D> DataSet3D::getAverageTriplecorrelations() const
{
- return averageTriplecorrelations;
+ return averageTriplecorrelations;
}
inline void DataSet3D::setAverageTriplecorrelations(SPtr<AverageValuesArray3D> values)
{
- averageTriplecorrelations = values;
+ averageTriplecorrelations = values;
}
inline SPtr<ShearStressValuesArray3D> DataSet3D::getShearStressValues() const
-{
- return shearStressValues;
+{
+ return shearStressValues;
}
inline void DataSet3D::setShearStressValues(SPtr<ShearStressValuesArray3D> values)
-{
- shearStressValues = values;
+{
+ shearStressValues = values;
}
inline SPtr<RelaxationFactorArray3D> DataSet3D::getRelaxationFactor() const
{
- return relaxationFactor;
+ return relaxationFactor;
}
inline void DataSet3D::setRelaxationFactor(SPtr<RelaxationFactorArray3D> values)
{
- relaxationFactor = values;
+ relaxationFactor = values;
}
#endif
diff --git a/src/cpu/VirtualFluidsCore/Data/DistributionArray3D.h b/src/cpu/VirtualFluidsCore/Data/DistributionArray3D.h
index fc1c67ad129d6cd7e7f5f9c9cd50ec4c76bfe714..8fe4dccea1b53da0513a093e8a741cd0071caf48 100644
--- a/src/cpu/VirtualFluidsCore/Data/DistributionArray3D.h
+++ b/src/cpu/VirtualFluidsCore/Data/DistributionArray3D.h
@@ -1,8 +1,42 @@
+//=======================================================================================
+// ____ ____ __ ______ __________ __ __ __ __
+// \ \ | | | | | _ \ |___ ___| | | | | / \ | |
+// \ \ | | | | | |_) | | | | | | | / \ | |
+// \ \ | | | | | _ / | | | | | | / /\ \ | |
+// \ \ | | | | | | \ \ | | | \__/ | / ____ \ | |____
+// \ \ | | |__| |__| \__\ |__| \________/ /__/ \__\ |_______|
+// \ \ | | ________________________________________________________________
+// \ \ | | | ______________________________________________________________|
+// \ \| | | | __ __ __ __ ______ _______
+// \ | | |_____ | | | | | | | | | _ \ / _____)
+// \ | | _____| | | | | | | | | | | \ \ \_______
+// \ | | | | |_____ | \_/ | | | | |_/ / _____ |
+// \ _____| |__| |________| \_______/ |__| |______/ (_______/
+//
+// 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 DistributionArray3D.h
+//! \ingroup Data
+//! \author Konstantin Kutscher
+//=======================================================================================
+
#ifndef DistributionArray3D_H
#define DistributionArray3D_H
#include <LBMSystem.h>
+//! \brief Abstract class of data structure for LBM
class DistributionArray3D
{
public:
@@ -10,14 +44,41 @@ public:
virtual ~DistributionArray3D() = default;
-
- virtual size_t getNX1() const = 0;
- virtual size_t getNX2() const = 0;
- virtual size_t getNX3() const = 0;
- virtual void getDistribution(LBMReal *const f, size_t x1, size_t x2, size_t x3) = 0;
- virtual void setDistribution(const LBMReal *const f, size_t x1, size_t x2, size_t x3) = 0;
- virtual void getDistributionInv(LBMReal *const f, size_t x1, size_t x2, size_t x3) = 0;
- virtual void setDistributionInv(const LBMReal *const f, size_t x1, size_t x2, size_t x3) = 0;
+ //! get number of nodes for x1 direction
+ virtual size_t getNX1() const = 0;
+ //! get number of nodes for x2 direction
+ virtual size_t getNX2() const = 0;
+ //! get number of nodes for x3 direction
+ virtual size_t getNX3() const = 0;
+ //! get distribution
+ //! \param f distribution
+ //! \param x1 coordinate x1
+ //! \param x2 coordinate x2
+ //! \param x3 coordinate x3
+ virtual void getDistribution(LBMReal *const f, size_t x1, size_t x2, size_t x3) = 0;
+ //! set distribution
+ //! \param f distribution
+ //! \param x1 coordinate x1
+ //! \param x2 coordinate x2
+ //! \param x3 coordinate x3
+ virtual void setDistribution(const LBMReal *const f, size_t x1, size_t x2, size_t x3) = 0;
+ //! get distribution in inverse order
+ //! \param f distribution
+ //! \param x1 coordinate x1
+ //! \param x2 coordinate x2
+ //! \param x3 coordinate x3
+ virtual void getDistributionInv(LBMReal *const f, size_t x1, size_t x2, size_t x3) = 0;
+ //! set distribution in inverse order
+ //! \param f distribution
+ //! \param x1 coordinate x1
+ //! \param x1 coordinate x2
+ //! \param x1 coordinate x3
+ virtual void setDistributionInv(const LBMReal *const f, size_t x1, size_t x2, size_t x3) = 0;
+ //! set distribution in inverse order
+ //! \param f distribution
+ //! \param x1 coordinate x1
+ //! \param x1 coordinate x2
+ //! \param x1 coordinate x3
virtual void setDistributionForDirection(const LBMReal *const f, size_t x1, size_t x2, size_t x3,
unsigned long int direction) = 0;
virtual void setDistributionForDirection(LBMReal f, size_t x1, size_t x2, size_t x3, int direction) = 0;
diff --git a/src/cpu/VirtualFluidsCore/Grid/BasicCalculator.cpp b/src/cpu/VirtualFluidsCore/Grid/BasicCalculator.cpp
index d55a59b58b026ec46b7cdc3e48aa796ec24d181a..d2a7baee86607f7c99a30cf59910fa831ae4a7a9 100644
--- a/src/cpu/VirtualFluidsCore/Grid/BasicCalculator.cpp
+++ b/src/cpu/VirtualFluidsCore/Grid/BasicCalculator.cpp
@@ -33,12 +33,12 @@
#include "BasicCalculator.h"
-#include "Block3D.h"
#include "BCProcessor.h"
-#include "LBMKernel.h"
+#include "Block3D.h"
#include "Block3DConnector.h"
-#include "UbScheduler.h"
+#include "LBMKernel.h"
#include "UbLogger.h"
+#include "UbScheduler.h"
#ifdef _OPENMP
#include <omp.h>
@@ -48,34 +48,32 @@
//#define TIMING
//#include "UbTiming.h"
-BasicCalculator::BasicCalculator(SPtr<Grid3D> grid, SPtr<UbScheduler> additionalGhostLayerUpdateScheduler, int numberOfTimeSteps) :
- Calculator(grid, additionalGhostLayerUpdateScheduler, numberOfTimeSteps)
+BasicCalculator::BasicCalculator(SPtr<Grid3D> grid, SPtr<UbScheduler> additionalGhostLayerUpdateScheduler,
+ int numberOfTimeSteps)
+ : Calculator(grid, additionalGhostLayerUpdateScheduler, numberOfTimeSteps)
{
-
}
//////////////////////////////////////////////////////////////////////////
void BasicCalculator::calculate()
{
- UBLOG(logDEBUG1, "OMPCalculator::calculate() - started");
- int calcStep = 0;
- try
- {
- int minInitLevel = minLevel;
- int maxInitLevel = maxLevel - minLevel;
- int straightStartLevel = minInitLevel;
- int internalIterations = 1 << (maxInitLevel - minInitLevel);
- int threshold;
+ UBLOG(logDEBUG1, "OMPCalculator::calculate() - started");
+ int calcStep = 0;
+ try {
+ int minInitLevel = minLevel;
+ int maxInitLevel = maxLevel - minLevel;
+ int straightStartLevel = minInitLevel;
+ int internalIterations = 1 << (maxInitLevel - minInitLevel);
+ int threshold;
#ifdef TIMING
- UbTimer timer;
- double time[6];
+ UbTimer timer;
+ double time[6];
#endif
- for (calcStep = startTimeStep; calcStep <= numberOfTimeSteps; calcStep++)
- {
- //////////////////////////////////////////////////////////////////////////
+ for (calcStep = startTimeStep; calcStep <= numberOfTimeSteps; calcStep++) {
+ //////////////////////////////////////////////////////////////////////////
#ifdef TIMING
- UBLOG(logINFO, "calcStep = " << calcStep);
+ UBLOG(logINFO, "calcStep = " << calcStep);
#endif
//////////////////////////////////////////////////////////////////////////
@@ -87,95 +85,86 @@ void BasicCalculator::calculate()
for (straightStartLevel = maxInitLevel, threshold = 1;
(staggeredStep & threshold) != threshold; straightStartLevel--, threshold <<= 1);
}
- //////////////////////////////////////////////////////////////////////////
#ifdef TIMING
- timer.resetAndStart();
+ timer.resetAndStart();
#endif
- //////////////////////////////////////////////////////////////////////////
- applyPreCollisionBC(straightStartLevel, maxInitLevel);
+ //////////////////////////////////////////////////////////////////////////
+ applyPreCollisionBC(straightStartLevel, maxInitLevel);
- //do collision for all blocks
- calculateBlocks(straightStartLevel, maxInitLevel, calcStep);
- //////////////////////////////////////////////////////////////////////////
+ // do collision for all blocks
+ calculateBlocks(straightStartLevel, maxInitLevel, calcStep);
+ //////////////////////////////////////////////////////////////////////////
#ifdef TIMING
- time[0] = timer.stop();
- UBLOG(logINFO, "calculateBlocks time = " << time[0]);
+ time[0] = timer.stop();
+ UBLOG(logINFO, "calculateBlocks time = " << time[0]);
#endif
- //////////////////////////////////////////////////////////////////////////
- //////////////////////////////////////////////////////////////////////////
- //exchange data between blocks
- exchangeBlockData(straightStartLevel, maxInitLevel);
- //////////////////////////////////////////////////////////////////////////
+ //////////////////////////////////////////////////////////////////////////
+ //////////////////////////////////////////////////////////////////////////
+ // exchange data between blocks
+ exchangeBlockData(straightStartLevel, maxInitLevel);
+ //////////////////////////////////////////////////////////////////////////
#ifdef TIMING
- time[1] = timer.stop();
- UBLOG(logINFO, "exchangeBlockData time = " << time[1]);
+ time[1] = timer.stop();
+ UBLOG(logINFO, "exchangeBlockData time = " << time[1]);
#endif
- //////////////////////////////////////////////////////////////////////////
- applyPostCollisionBC(straightStartLevel, maxInitLevel);
- //////////////////////////////////////////////////////////////////////////
+ //////////////////////////////////////////////////////////////////////////
+ applyPostCollisionBC(straightStartLevel, maxInitLevel);
+ //////////////////////////////////////////////////////////////////////////
#ifdef TIMING
- time[2] = timer.stop();
- UBLOG(logINFO, "applyBCs time = " << time[2]);
+ time[2] = timer.stop();
+ UBLOG(logINFO, "applyBCs time = " << time[2]);
#endif
- //////////////////////////////////////////////////////////////////////////
- //swap distributions in kernel
- swapDistributions(straightStartLevel, maxInitLevel);
- //////////////////////////////////////////////////////////////////////////
+ //////////////////////////////////////////////////////////////////////////
+ // swap distributions in kernel
+ swapDistributions(straightStartLevel, maxInitLevel);
+ //////////////////////////////////////////////////////////////////////////
#ifdef TIMING
- time[3] = timer.stop();
- UBLOG(logINFO, "swapDistributions time = " << time[3]);
+ time[3] = timer.stop();
+ UBLOG(logINFO, "swapDistributions time = " << time[3]);
#endif
- //////////////////////////////////////////////////////////////////////////
- if (refinement)
- {
- if (straightStartLevel < maxInitLevel)
- exchangeBlockData(straightStartLevel, maxInitLevel);
- //////////////////////////////////////////////////////////////////////////
+ //////////////////////////////////////////////////////////////////////////
+ if (refinement) {
+ if (straightStartLevel < maxInitLevel)
+ exchangeBlockData(straightStartLevel, maxInitLevel);
+ //////////////////////////////////////////////////////////////////////////
#ifdef TIMING
- time[4] = timer.stop();
- UBLOG(logINFO, "refinement exchangeBlockData time = " << time[4]);
+ time[4] = timer.stop();
+ UBLOG(logINFO, "refinement exchangeBlockData time = " << time[4]);
#endif
- //////////////////////////////////////////////////////////////////////////
- //now ghost nodes have actual values
- //interpolation of interface nodes between grid levels
- interpolation(straightStartLevel, maxInitLevel);
- //////////////////////////////////////////////////////////////////////////
+ //////////////////////////////////////////////////////////////////////////
+ // now ghost nodes have actual values
+ // interpolation of interface nodes between grid levels
+ interpolation(straightStartLevel, maxInitLevel);
+ //////////////////////////////////////////////////////////////////////////
#ifdef TIMING
- time[5] = timer.stop();
- UBLOG(logINFO, "refinement interpolation time = " << time[5]);
+ time[5] = timer.stop();
+ UBLOG(logINFO, "refinement interpolation time = " << time[5]);
#endif
- //////////////////////////////////////////////////////////////////////////
+ //////////////////////////////////////////////////////////////////////////
+ }
}
- }
- //exchange data between blocks for visualization
- if (additionalGhostLayerUpdateScheduler->isDue(calcStep))
- {
- exchangeBlockData(straightStartLevel, maxInitLevel);
- }
- coProcess((double)(calcStep));
- //now ghost nodes have actual values
- }
- UBLOG(logDEBUG1, "OMPCalculator::calculate() - stoped");
- }
- catch (std::exception & e)
- {
- UBLOG(logERROR, e.what());
- UBLOG(logERROR, " step = " << calcStep);
- //throw e;
- //exit(EXIT_FAILURE);
- }
- catch (std::string & s)
- {
- UBLOG(logERROR, s);
- //exit(EXIT_FAILURE);
- //throw s;
- }
- catch (...)
- {
- UBLOG(logERROR, "unknown exception");
- //exit(EXIT_FAILURE);
- //throw;
- }
+ // exchange data between blocks for visualization
+ if (additionalGhostLayerUpdateScheduler->isDue(calcStep)) {
+ exchangeBlockData(straightStartLevel, maxInitLevel);
+ }
+ coProcess((double)(calcStep));
+ // now ghost nodes have actual values
+ }
+ UBLOG(logDEBUG1, "OMPCalculator::calculate() - stoped");
+ } catch (std::exception &e) {
+ UBLOG(logERROR, e.what());
+ UBLOG(logERROR, " step = " << calcStep);
+ // throw e;
+ // exit(EXIT_FAILURE);
+ } catch (std::string &s) {
+ UBLOG(logERROR, s);
+ // exit(EXIT_FAILURE);
+ // throw s;
+ } catch (...) {
+ UBLOG(logERROR, "unknown exception");
+ // exit(EXIT_FAILURE);
+ // throw;
+ }
}
//////////////////////////////////////////////////////////////////////////
void BasicCalculator::calculateBlocks(int startLevel, int maxInitLevel, int calcStep)
@@ -183,50 +172,45 @@ void BasicCalculator::calculateBlocks(int startLevel, int maxInitLevel, int calc
#ifdef _OPENMP
#pragma omp parallel
#endif
- {
- SPtr<Block3D> blockTemp;
- //startLevel bis maxInitLevel
- for (int level = startLevel; level <= maxInitLevel; level++)
- {
- //timer.resetAndStart();
- //call LBM kernel
- int size = (int)blocks[level].size();
+ {
+ SPtr<Block3D> blockTemp;
+ // startLevel bis maxInitLevel
+ for (int level = startLevel; level <= maxInitLevel; level++) {
+ // timer.resetAndStart();
+ // call LBM kernel
+ int size = (int)blocks[level].size();
#ifdef _OPENMP
#pragma omp for schedule(OMP_SCHEDULE)
#endif
- for (int i = 0; i < size; i++)
- {
- try
- {
- blockTemp = blocks[level][i];
- blockTemp->getKernel()->calculate(calcStep);
+ for (int i = 0; i < size; i++) {
+ try {
+ blockTemp = blocks[level][i];
+ blockTemp->getKernel()->calculate(calcStep);
+ } catch (std::exception &e) {
+ UBLOG(logERROR, e.what());
+ UBLOG(logERROR, blockTemp->toString() << " step = " << calcStep);
+ std::exit(EXIT_FAILURE);
+ }
}
- catch (std::exception & e)
- {
- UBLOG(logERROR, e.what());
- UBLOG(logERROR, blockTemp->toString() << " step = " << calcStep);
- std::exit(EXIT_FAILURE);
- }
- }
- //timer.stop();
- //UBLOG(logINFO, "level = " << level << " blocks = " << blocks[level].size() << " collision time = " << timer.getTotalTime());
- }
- }
+ // timer.stop();
+ // UBLOG(logINFO, "level = " << level << " blocks = " << blocks[level].size() << " collision time = " <<
+ // timer.getTotalTime());
+ }
+ }
}
//////////////////////////////////////////////////////////////////////////
void BasicCalculator::exchangeBlockData(int startLevel, int maxInitLevel)
{
- //startLevel bis maxInitLevel
- for (int level = startLevel; level <= maxInitLevel; level++)
- {
- //connectorsPrepareLocal(localConns[level]);
- connectorsSendLocal(localConns[level]);
- //connectorsReceiveLocal(localConns[level]);
+ // startLevel bis maxInitLevel
+ for (int level = startLevel; level <= maxInitLevel; level++) {
+ // connectorsPrepareLocal(localConns[level]);
+ connectorsSendLocal(localConns[level]);
+ // connectorsReceiveLocal(localConns[level]);
- connectorsPrepareRemote(remoteConns[level]);
- connectorsSendRemote(remoteConns[level]);
- connectorsReceiveRemote(remoteConns[level]);
- }
+ connectorsPrepareRemote(remoteConns[level]);
+ connectorsSendRemote(remoteConns[level]);
+ connectorsReceiveRemote(remoteConns[level]);
+ }
}
//////////////////////////////////////////////////////////////////////////
void BasicCalculator::swapDistributions(int startLevel, int maxInitLevel)
@@ -234,192 +218,156 @@ void BasicCalculator::swapDistributions(int startLevel, int maxInitLevel)
#ifdef _OPENMP
#pragma omp parallel
#endif
- {
- //startLevel bis maxInitLevel
- for (int level = startLevel; level <= maxInitLevel; level++)
- {
- int size = (int)blocks[level].size();
+ {
+ // startLevel bis maxInitLevel
+ for (int level = startLevel; level <= maxInitLevel; level++) {
+ int size = (int)blocks[level].size();
#ifdef _OPENMP
#pragma omp for schedule(OMP_SCHEDULE)
#endif
- for (int i = 0; i < size; i++)
- {
- blocks[level][i]->getKernel()->swapDistributions();
- }
- }
- }
+ for (int i = 0; i < size; i++) {
+ blocks[level][i]->getKernel()->swapDistributions();
+ }
+ }
+ }
}
//////////////////////////////////////////////////////////////////////////
-void BasicCalculator::connectorsPrepareLocal(std::vector< SPtr<Block3DConnector> >& connectors)
+void BasicCalculator::connectorsPrepareLocal(std::vector<SPtr<Block3DConnector>> &connectors)
{
- int size = (int)connectors.size();
+ int size = (int)connectors.size();
#ifdef _OPENMP
#pragma omp parallel for schedule(OMP_SCHEDULE)
#endif
- for (int i = 0; i < size; i++)
- {
- try
- {
- connectors[i]->prepareForReceive();
- connectors[i]->prepareForSend();
- }
- catch (std::exception & e)
- {
- UBLOG(logERROR, e.what());
- std::exit(EXIT_FAILURE);
- }
- }
+ for (int i = 0; i < size; i++) {
+ try {
+ connectors[i]->prepareForReceive();
+ connectors[i]->prepareForSend();
+ } catch (std::exception &e) {
+ UBLOG(logERROR, e.what());
+ std::exit(EXIT_FAILURE);
+ }
+ }
}
//////////////////////////////////////////////////////////////////////////
-void BasicCalculator::connectorsSendLocal(std::vector< SPtr<Block3DConnector> >& connectors)
+void BasicCalculator::connectorsSendLocal(std::vector<SPtr<Block3DConnector>> &connectors)
{
- int size = (int)connectors.size();
+ int size = (int)connectors.size();
#ifdef _OPENMP
#pragma omp parallel for schedule(OMP_SCHEDULE)
#endif
- for (int i = 0; i < size; i++)
- {
- try
- {
- connectors[i]->fillSendVectors();
- connectors[i]->sendVectors();
- }
- catch (std::exception & e)
- {
- UBLOG(logERROR, e.what());
- std::exit(EXIT_FAILURE);
- }
- }
+ for (int i = 0; i < size; i++) {
+ try {
+ connectors[i]->fillSendVectors();
+ connectors[i]->sendVectors();
+ } catch (std::exception &e) {
+ UBLOG(logERROR, e.what());
+ std::exit(EXIT_FAILURE);
+ }
+ }
}
//////////////////////////////////////////////////////////////////////////
-void BasicCalculator::connectorsReceiveLocal(std::vector< SPtr<Block3DConnector> >& connectors)
+void BasicCalculator::connectorsReceiveLocal(std::vector<SPtr<Block3DConnector>> &connectors)
{
- int size = (int)connectors.size();
+ int size = (int)connectors.size();
#ifdef _OPENMP
#pragma omp parallel for schedule(OMP_SCHEDULE)
#endif
- for (int i = 0; i < size; i++)
- {
- connectors[i]->receiveVectors();
- connectors[i]->distributeReceiveVectors();
- }
+ for (int i = 0; i < size; i++) {
+ connectors[i]->receiveVectors();
+ connectors[i]->distributeReceiveVectors();
+ }
}
-void BasicCalculator::connectorsPrepareRemote(std::vector< SPtr<Block3DConnector> >& connectors)
+void BasicCalculator::connectorsPrepareRemote(std::vector<SPtr<Block3DConnector>> &connectors)
{
- int size = (int)connectors.size();
- for (int i = 0; i < size; i++)
- {
- connectors[i]->prepareForReceive();
- connectors[i]->prepareForSend();
- }
+ int size = (int)connectors.size();
+ for (int i = 0; i < size; i++) {
+ connectors[i]->prepareForReceive();
+ connectors[i]->prepareForSend();
+ }
}
//////////////////////////////////////////////////////////////////////////
-void BasicCalculator::connectorsSendRemote(std::vector< SPtr<Block3DConnector> >& connectors)
+void BasicCalculator::connectorsSendRemote(std::vector<SPtr<Block3DConnector>> &connectors)
{
- int size = (int)connectors.size();
- for (int i = 0; i < size; i++)
- {
- connectors[i]->fillSendVectors();
- connectors[i]->sendVectors();
- }
+ int size = (int)connectors.size();
+ for (int i = 0; i < size; i++) {
+ connectors[i]->fillSendVectors();
+ connectors[i]->sendVectors();
+ }
}
//////////////////////////////////////////////////////////////////////////
-void BasicCalculator::connectorsReceiveRemote(std::vector< SPtr<Block3DConnector> >& connectors)
+void BasicCalculator::connectorsReceiveRemote(std::vector<SPtr<Block3DConnector>> &connectors)
{
- int size = (int)connectors.size();
- for (int i = 0; i < size; i++)
- {
- connectors[i]->receiveVectors();
- connectors[i]->distributeReceiveVectors();
- }
+ int size = (int)connectors.size();
+ for (int i = 0; i < size; i++) {
+ connectors[i]->receiveVectors();
+ connectors[i]->distributeReceiveVectors();
+ }
}
//////////////////////////////////////////////////////////////////////////
void BasicCalculator::interpolation(int startLevel, int maxInitLevel)
{
- for (int level = startLevel; level < maxInitLevel; level++)
- {
- connectorsPrepareLocal(localInterConns[level]);
- connectorsPrepareRemote(remoteInterConns[level]);
- }
+ for (int level = startLevel; level < maxInitLevel; level++) {
+ connectorsPrepareLocal(localInterConns[level]);
+ connectorsPrepareRemote(remoteInterConns[level]);
+ }
- for (int level = startLevel; level < maxInitLevel; level++)
- {
- connectorsSendLocal(localInterConns[level]);
- connectorsSendRemote(remoteInterConns[level]);
- }
+ for (int level = startLevel; level < maxInitLevel; level++) {
+ connectorsSendLocal(localInterConns[level]);
+ connectorsSendRemote(remoteInterConns[level]);
+ }
- for (int level = startLevel; level < maxInitLevel; level++)
- {
- connectorsReceiveLocal(localInterConns[level]);
- connectorsReceiveRemote(remoteInterConns[level]);
- }
+ for (int level = startLevel; level < maxInitLevel; level++) {
+ connectorsReceiveLocal(localInterConns[level]);
+ connectorsReceiveRemote(remoteInterConns[level]);
+ }
}
//////////////////////////////////////////////////////////////////////////
void BasicCalculator::applyPreCollisionBC(int startLevel, int maxInitLevel)
{
- //startLevel bis maxInitLevel
- for (int level = startLevel; level <= maxInitLevel; level++)
- {
- int size = (int)blocks[level].size();
+ // startLevel bis maxInitLevel
+ for (int level = startLevel; level <= maxInitLevel; level++) {
+ int size = (int)blocks[level].size();
#ifdef _OPENMP
#pragma omp parallel for schedule(OMP_SCHEDULE)
#endif
- for (int i = 0; i < size; i++)
- {
- try
- {
- blocks[level][i]->getKernel()->getBCProcessor()->applyPreCollisionBC();
- }
- catch (std::exception & e)
- {
- UBLOG(logERROR, e.what());
- exit(EXIT_FAILURE);
- }
- catch (std::string & s)
- {
- UBLOG(logERROR, s);
- exit(EXIT_FAILURE);
- }
- catch (...)
- {
- UBLOG(logERROR, "unknown exception");
- exit(EXIT_FAILURE);
- }
- }
- }
+ for (int i = 0; i < size; i++) {
+ try {
+ blocks[level][i]->getKernel()->getBCProcessor()->applyPreCollisionBC();
+ } catch (std::exception &e) {
+ UBLOG(logERROR, e.what());
+ exit(EXIT_FAILURE);
+ } catch (std::string &s) {
+ UBLOG(logERROR, s);
+ exit(EXIT_FAILURE);
+ } catch (...) {
+ UBLOG(logERROR, "unknown exception");
+ exit(EXIT_FAILURE);
+ }
+ }
+ }
}
//////////////////////////////////////////////////////////////////////////
void BasicCalculator::applyPostCollisionBC(int startLevel, int maxInitLevel)
{
- //startLevel bis maxInitLevel
- for (int level = startLevel; level <= maxInitLevel; level++)
- {
- int size = (int)blocks[level].size();
+ // startLevel bis maxInitLevel
+ for (int level = startLevel; level <= maxInitLevel; level++) {
+ int size = (int)blocks[level].size();
#ifdef _OPENMP
#pragma omp parallel for schedule(OMP_SCHEDULE)
#endif
- for (int i = 0; i < size; i++)
- {
- try
- {
- blocks[level][i]->getKernel()->getBCProcessor()->applyPostCollisionBC();
- }
- catch (std::exception & e)
- {
- UBLOG(logERROR, e.what());
- exit(EXIT_FAILURE);
- }
- catch (std::string & s)
- {
- UBLOG(logERROR, s);
- exit(EXIT_FAILURE);
- }
- catch (...)
- {
- UBLOG(logERROR, "unknown exception");
- exit(EXIT_FAILURE);
- }
- }
- }
+ for (int i = 0; i < size; i++) {
+ try {
+ blocks[level][i]->getKernel()->getBCProcessor()->applyPostCollisionBC();
+ } catch (std::exception &e) {
+ UBLOG(logERROR, e.what());
+ exit(EXIT_FAILURE);
+ } catch (std::string &s) {
+ UBLOG(logERROR, s);
+ exit(EXIT_FAILURE);
+ } catch (...) {
+ UBLOG(logERROR, "unknown exception");
+ exit(EXIT_FAILURE);
+ }
+ }
+ }
}
-
diff --git a/src/cpu/VirtualFluidsCore/Grid/Grid3D.cpp b/src/cpu/VirtualFluidsCore/Grid/Grid3D.cpp
index 520da83f6f7048ad2ff019051bd7cee8d188c60a..199d2cf87851160a4fc36e9a90ae2b199f1fce7e 100644
--- a/src/cpu/VirtualFluidsCore/Grid/Grid3D.cpp
+++ b/src/cpu/VirtualFluidsCore/Grid/Grid3D.cpp
@@ -55,7 +55,7 @@ Grid3D::Grid3D(SPtr<Communicator> comm)
{
levelSet.resize(Grid3DSystem::MAXLEVEL + 1);
bundle = comm->getBundleID();
- rank = comm->getProcessID();
+ rank = comm->getProcessID();
}
//////////////////////////////////////////////////////////////////////////
Grid3D::Grid3D(SPtr<Communicator> comm, int blockNx1, int blockNx2, int blockNx3, int gridNx1, int gridNx2, int gridNx3)
@@ -65,8 +65,8 @@ Grid3D::Grid3D(SPtr<Communicator> comm, int blockNx1, int blockNx2, int blockNx3
{
levelSet.resize(Grid3DSystem::MAXLEVEL + 1);
bundle = comm->getBundleID();
- rank = comm->getProcessID();
- trafo = std::make_shared<CoordinateTransformation3D>(0.0, 0.0, 0.0, (double)blockNx1, (double)blockNx2,
+ rank = comm->getProcessID();
+ trafo = std::make_shared<CoordinateTransformation3D>(0.0, 0.0, 0.0, (double)blockNx1, (double)blockNx2,
(double)blockNx3);
UbTupleInt3 minInd(0, 0, 0);
UbTupleInt3 maxInd(gridNx1, gridNx2, gridNx3);
@@ -218,11 +218,6 @@ SPtr<Block3D> Grid3D::getBlock(int id) const
return it->second;
}
//////////////////////////////////////////////////////////////////////////
-// const Grid3D::Block3DMap& Grid3D::getBlocks(int level)
-//{
-// return levelSet[level];
-//}
-//////////////////////////////////////////////////////////////////////////
Grid3D::BlockIDMap &Grid3D::getBlockIDs() { return blockIdMap; }
//////////////////////////////////////////////////////////////////////////
SPtr<Block3D> Grid3D::getSuperBlock(SPtr<Block3D> block)
@@ -298,8 +293,6 @@ bool Grid3D::expandBlock(int ix1, int ix2, int ix3, int level)
throw UbException(UB_EXARGS, "block(x1=" + UbSystem::toString(ix1) + ", x2=" + UbSystem::toString(ix2) +
", x3=" + UbSystem::toString(ix3) + ", l=" + UbSystem::toString(level) +
") is not exist");
- // if(!block->isActive()) throw UbException(UB_EXARGS,"block(x1="+UbSystem::toString(ix1)+",
- // x2="+UbSystem::toString(ix2)+", x3="+UbSystem::toString(ix3)+", l="+UbSystem::toString(level)+") is not active");
// da bei periodic der eigentliche block andere indizes hat:
ix1 = block->getX1();
@@ -415,7 +408,6 @@ void Grid3D::deleteConnectors()
for (Block3DMap::value_type b : blockMap) {
SPtr<Block3D> block = b.second;
block->deleteConnectors();
- // block->deleteInterpolationConnectors();
}
}
}
@@ -2305,6 +2297,7 @@ void Grid3D::renumberBlockIDs()
}
}
+
//////////////////////////////////////////////////////////////////////////
void Grid3D::updateDistributedBlocks(SPtr<Communicator> comm)
{
diff --git a/src/cpu/VirtualFluidsCore/Grid/Grid3D.h b/src/cpu/VirtualFluidsCore/Grid/Grid3D.h
index b954a4361df5b97b91d111e80c30b413a0b9ed05..f3aa968316fcc74f77584ad58ae7114dcab0840c 100644
--- a/src/cpu/VirtualFluidsCore/Grid/Grid3D.h
+++ b/src/cpu/VirtualFluidsCore/Grid/Grid3D.h
@@ -50,10 +50,10 @@ class CoordinateTransformation3D;
class Communicator;
class Block3D;
class Interactor3D;
-// class Grid3DVisitor;
#define OFFSET 0.5
+//! A class implements block grid
//////////////////////////////////////////////////////////////////////////
class Grid3D : public enableSharedFromThis<Grid3D>
{
@@ -93,7 +93,6 @@ public:
void getBlocks(int level, int rank, bool active, std::vector<SPtr<Block3D>> &blockVector);
int getNumberOfBlocks();
int getNumberOfBlocks(int level);
- // const Block3DMap& getBlocks(int level);
BlockIDMap &getBlockIDs();
void deleteBlockIDs();
void renumberBlockIDs();
diff --git a/src/cpu/VirtualFluidsCore/LBM/CumulantK17LBMKernel.cpp b/src/cpu/VirtualFluidsCore/LBM/CumulantK17LBMKernel.cpp
index 1f647e73d434c9b19f2133dea34588bf201eef11..daed493b9cc1afddbd92acabcd551da0f463ea26 100644
--- a/src/cpu/VirtualFluidsCore/LBM/CumulantK17LBMKernel.cpp
+++ b/src/cpu/VirtualFluidsCore/LBM/CumulantK17LBMKernel.cpp
@@ -1,28 +1,28 @@
//=======================================================================================
-// ____ ____ __ ______ __________ __ __ __ __
-// \ \ | | | | | _ \ |___ ___| | | | | / \ | |
-// \ \ | | | | | |_) | | | | | | | / \ | |
-// \ \ | | | | | _ / | | | | | | / /\ \ | |
-// \ \ | | | | | | \ \ | | | \__/ | / ____ \ | |____
-// \ \ | | |__| |__| \__\ |__| \________/ /__/ \__\ |_______|
-// \ \ | | ________________________________________________________________
-// \ \ | | | ______________________________________________________________|
-// \ \| | | | __ __ __ __ ______ _______
-// \ | | |_____ | | | | | | | | | _ \ / _____)
-// \ | | _____| | | | | | | | | | | \ \ \_______
+// ____ ____ __ ______ __________ __ __ __ __
+// \ \ | | | | | _ \ |___ ___| | | | | / \ | |
+// \ \ | | | | | |_) | | | | | | | / \ | |
+// \ \ | | | | | _ / | | | | | | / /\ \ | |
+// \ \ | | | | | | \ \ | | | \__/ | / ____ \ | |____
+// \ \ | | |__| |__| \__\ |__| \________/ /__/ \__\ |_______|
+// \ \ | | ________________________________________________________________
+// \ \ | | | ______________________________________________________________|
+// \ \| | | | __ __ __ __ ______ _______
+// \ | | |_____ | | | | | | | | | _ \ / _____)
+// \ | | _____| | | | | | | | | | | \ \ \_______
// \ | | | | |_____ | \_/ | | | | |_/ / _____ |
-// \ _____| |__| |________| \_______/ |__| |______/ (_______/
+// \ _____| |__| |________| \_______/ |__| |______/ (_______/
//
-// This file is part of VirtualFluids. VirtualFluids is free software: you can
+// 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
+// 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
+//
+// 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/>.
//
@@ -30,7 +30,6 @@
//! \ingroup LBM
//! \author Konstantin Kutscher, Martin Geier
//=======================================================================================
-
#include "CumulantK17LBMKernel.h"
#include "D3Q27System.h"
#include "D3Q27EsoTwist3DSplittedVector.h"
@@ -47,593 +46,590 @@ using namespace UbMath;
//////////////////////////////////////////////////////////////////////////
CumulantK17LBMKernel::CumulantK17LBMKernel()
{
- this->compressible = true;
+ this->compressible = true;
}
//////////////////////////////////////////////////////////////////////////
-CumulantK17LBMKernel::~CumulantK17LBMKernel(void)
-= default;
-//////////////////////////////////////////////////////////////////////////
void CumulantK17LBMKernel::initDataSet()
{
- SPtr<DistributionArray3D> d(new D3Q27EsoTwist3DSplittedVector(nx[0] + 2, nx[1] + 2, nx[2] + 2, -999.9));
- dataSet->setFdistributions(d);
+ SPtr<DistributionArray3D> d(new D3Q27EsoTwist3DSplittedVector(nx[0] + 2, nx[1] + 2, nx[2] + 2, -999.9));
+ dataSet->setFdistributions(d);
}
//////////////////////////////////////////////////////////////////////////
SPtr<LBMKernel> CumulantK17LBMKernel::clone()
{
- SPtr<LBMKernel> kernel(new CumulantK17LBMKernel());
- kernel->setNX(nx);
- std::dynamic_pointer_cast<CumulantK17LBMKernel>(kernel)->initDataSet();
- kernel->setCollisionFactor(this->collFactor);
- kernel->setBCProcessor(bcProcessor->clone(kernel));
- kernel->setWithForcing(withForcing);
- kernel->setForcingX1(muForcingX1);
- kernel->setForcingX2(muForcingX2);
- kernel->setForcingX3(muForcingX3);
- kernel->setIndex(ix1, ix2, ix3);
- kernel->setDeltaT(deltaT);
- kernel->setBlock(block.lock());
-
- return kernel;
+ SPtr<LBMKernel> kernel(new CumulantK17LBMKernel());
+ kernel->setNX(nx);
+ std::dynamic_pointer_cast<CumulantK17LBMKernel>(kernel)->initDataSet();
+ kernel->setCollisionFactor(this->collFactor);
+ kernel->setBCProcessor(bcProcessor->clone(kernel));
+ kernel->setWithForcing(withForcing);
+ kernel->setForcingX1(muForcingX1);
+ kernel->setForcingX2(muForcingX2);
+ kernel->setForcingX3(muForcingX3);
+ kernel->setIndex(ix1, ix2, ix3);
+ kernel->setDeltaT(deltaT);
+ kernel->setBlock(block.lock());
+
+ return kernel;
}
//////////////////////////////////////////////////////////////////////////
void CumulantK17LBMKernel::calculate(int step)
{
- //////////////////////////////////////////////////////////////////////////
- //! Cumulant K17 Kernel is based on
- //! <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
- //! <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.
- //!
-
- using namespace std;
-
- //initializing of forcing stuff
- if (withForcing)
- {
- muForcingX1.DefineVar("x1", &muX1); muForcingX1.DefineVar("x2", &muX2); muForcingX1.DefineVar("x3", &muX3);
- muForcingX2.DefineVar("x1", &muX1); muForcingX2.DefineVar("x2", &muX2); muForcingX2.DefineVar("x3", &muX3);
- muForcingX3.DefineVar("x1", &muX1); muForcingX3.DefineVar("x2", &muX2); muForcingX3.DefineVar("x3", &muX3);
-
- muDeltaT = deltaT;
-
- muForcingX1.DefineVar("dt", &muDeltaT);
- muForcingX2.DefineVar("dt", &muDeltaT);
- muForcingX3.DefineVar("dt", &muDeltaT);
-
- muNu = (1.0 / 3.0) * (1.0 / collFactor - 1.0 / 2.0);
-
- muForcingX1.DefineVar("nu", &muNu);
- muForcingX2.DefineVar("nu", &muNu);
- muForcingX3.DefineVar("nu", &muNu);
- }
- /////////////////////////////////////
-
- localDistributions = dynamic_pointer_cast<D3Q27EsoTwist3DSplittedVector>(dataSet->getFdistributions())->getLocalDistributions();
- nonLocalDistributions = dynamic_pointer_cast<D3Q27EsoTwist3DSplittedVector>(dataSet->getFdistributions())->getNonLocalDistributions();
- restDistributions = dynamic_pointer_cast<D3Q27EsoTwist3DSplittedVector>(dataSet->getFdistributions())->getZeroDistributions();
-
- SPtr<BCArray3D> bcArray = this->getBCProcessor()->getBCArray();
-
- const int bcArrayMaxX1 = (int)bcArray->getNX1();
- const int bcArrayMaxX2 = (int)bcArray->getNX2();
- const int bcArrayMaxX3 = (int)bcArray->getNX3();
-
- int minX1 = ghostLayerWidth;
- int minX2 = ghostLayerWidth;
- int minX3 = ghostLayerWidth;
- int maxX1 = bcArrayMaxX1 - ghostLayerWidth;
- int maxX2 = bcArrayMaxX2 - ghostLayerWidth;
- int maxX3 = bcArrayMaxX3 - ghostLayerWidth;
-
- LBMReal omega = collFactor;
-
- for (int x3 = minX3; x3 < maxX3; x3++)
- {
- for (int x2 = minX2; x2 < maxX2; x2++)
- {
- for (int x1 = minX1; x1 < maxX1; x1++)
- {
- if (!bcArray->isSolid(x1, x2, x3) && !bcArray->isUndefined(x1, x2, x3))
+ //////////////////////////////////////////////////////////////////////////
+ //! Cumulant K17 Kernel is based on
+ //! <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
+ //! <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.
+ //!
+
+ using namespace std;
+
+ //initializing of forcing stuff
+ if (withForcing)
+ {
+ muForcingX1.DefineVar("x1", &muX1); muForcingX1.DefineVar("x2", &muX2); muForcingX1.DefineVar("x3", &muX3);
+ muForcingX2.DefineVar("x1", &muX1); muForcingX2.DefineVar("x2", &muX2); muForcingX2.DefineVar("x3", &muX3);
+ muForcingX3.DefineVar("x1", &muX1); muForcingX3.DefineVar("x2", &muX2); muForcingX3.DefineVar("x3", &muX3);
+
+ muDeltaT = deltaT;
+
+ muForcingX1.DefineVar("dt", &muDeltaT);
+ muForcingX2.DefineVar("dt", &muDeltaT);
+ muForcingX3.DefineVar("dt", &muDeltaT);
+
+ muNu = (1.0 / 3.0) * (1.0 / collFactor - 1.0 / 2.0);
+
+ muForcingX1.DefineVar("nu", &muNu);
+ muForcingX2.DefineVar("nu", &muNu);
+ muForcingX3.DefineVar("nu", &muNu);
+ }
+ /////////////////////////////////////
+
+ localDistributions = dynamic_pointer_cast<D3Q27EsoTwist3DSplittedVector>(dataSet->getFdistributions())->getLocalDistributions();
+ nonLocalDistributions = dynamic_pointer_cast<D3Q27EsoTwist3DSplittedVector>(dataSet->getFdistributions())->getNonLocalDistributions();
+ restDistributions = dynamic_pointer_cast<D3Q27EsoTwist3DSplittedVector>(dataSet->getFdistributions())->getZeroDistributions();
+
+ SPtr<BCArray3D> bcArray = this->getBCProcessor()->getBCArray();
+
+ const int bcArrayMaxX1 = (int)bcArray->getNX1();
+ const int bcArrayMaxX2 = (int)bcArray->getNX2();
+ const int bcArrayMaxX3 = (int)bcArray->getNX3();
+
+ int minX1 = ghostLayerWidth;
+ int minX2 = ghostLayerWidth;
+ int minX3 = ghostLayerWidth;
+ int maxX1 = bcArrayMaxX1 - ghostLayerWidth;
+ int maxX2 = bcArrayMaxX2 - ghostLayerWidth;
+ int maxX3 = bcArrayMaxX3 - ghostLayerWidth;
+
+ LBMReal omega = collFactor;
+
+ for (int x3 = minX3; x3 < maxX3; x3++)
+ {
+ for (int x2 = minX2; x2 < maxX2; x2++)
+ {
+ for (int x1 = minX1; x1 < maxX1; x1++)
{
- int x1p = x1 + 1;
- int x2p = x2 + 1;
- int x3p = x3 + 1;
- //////////////////////////////////////////////////////////////////////////
- //////////////////////////////////////////////////////////////////////////
- //! - Read 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>
- //!
- ////////////////////////////////////////////////////////////////////////////
- //////////////////////////////////////////////////////////////////////////
-
- //E N T
- //c c c
- //////////
- //W S B
- //a a a
-
- //Rest is b
-
- //mfxyz
- //a - negative
- //b - null
- //c - positive
-
- // a b c
- //-1 0 1
-
- LBMReal mfcbb = (*this->localDistributions)(D3Q27System::ET_E, x1, x2, x3);
- LBMReal mfbcb = (*this->localDistributions)(D3Q27System::ET_N, x1, x2, x3);
- LBMReal mfbbc = (*this->localDistributions)(D3Q27System::ET_T, x1, x2, x3);
- LBMReal mfccb = (*this->localDistributions)(D3Q27System::ET_NE, x1, x2, x3);
- LBMReal mfacb = (*this->localDistributions)(D3Q27System::ET_NW, x1p, x2, x3);
- LBMReal mfcbc = (*this->localDistributions)(D3Q27System::ET_TE, x1, x2, x3);
- LBMReal mfabc = (*this->localDistributions)(D3Q27System::ET_TW, x1p, x2, x3);
- LBMReal mfbcc = (*this->localDistributions)(D3Q27System::ET_TN, x1, x2, x3);
- LBMReal mfbac = (*this->localDistributions)(D3Q27System::ET_TS, x1, x2p, x3);
- LBMReal mfccc = (*this->localDistributions)(D3Q27System::ET_TNE, x1, x2, x3);
- LBMReal mfacc = (*this->localDistributions)(D3Q27System::ET_TNW, x1p, x2, x3);
- LBMReal mfcac = (*this->localDistributions)(D3Q27System::ET_TSE, x1, x2p, x3);
- LBMReal mfaac = (*this->localDistributions)(D3Q27System::ET_TSW, x1p, x2p, x3);
-
- LBMReal mfabb = (*this->nonLocalDistributions)(D3Q27System::ET_W, x1p, x2, x3);
- LBMReal mfbab = (*this->nonLocalDistributions)(D3Q27System::ET_S, x1, x2p, x3);
- LBMReal mfbba = (*this->nonLocalDistributions)(D3Q27System::ET_B, x1, x2, x3p);
- LBMReal mfaab = (*this->nonLocalDistributions)(D3Q27System::ET_SW, x1p, x2p, x3);
- LBMReal mfcab = (*this->nonLocalDistributions)(D3Q27System::ET_SE, x1, x2p, x3);
- LBMReal mfaba = (*this->nonLocalDistributions)(D3Q27System::ET_BW, x1p, x2, x3p);
- LBMReal mfcba = (*this->nonLocalDistributions)(D3Q27System::ET_BE, x1, x2, x3p);
- LBMReal mfbaa = (*this->nonLocalDistributions)(D3Q27System::ET_BS, x1, x2p, x3p);
- LBMReal mfbca = (*this->nonLocalDistributions)(D3Q27System::ET_BN, x1, x2, x3p);
- LBMReal mfaaa = (*this->nonLocalDistributions)(D3Q27System::ET_BSW, x1p, x2p, x3p);
- LBMReal mfcaa = (*this->nonLocalDistributions)(D3Q27System::ET_BSE, x1, x2p, x3p);
- LBMReal mfaca = (*this->nonLocalDistributions)(D3Q27System::ET_BNW, x1p, x2, x3p);
- LBMReal mfcca = (*this->nonLocalDistributions)(D3Q27System::ET_BNE, x1, x2, x3p);
-
- LBMReal mfbbb = (*this->restDistributions)(x1, x2, x3);
-
- ////////////////////////////////////////////////////////////////////////////////////
- //! - Calculate density and velocity using pyramid summation for low round-off errors as in Eq. (J1)-(J3)
- //! <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>
- //!
- LBMReal 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;
-
- LBMReal rho = c1 + drho;
- LBMReal OOrho = c1 / rho;
- ////////////////////////////////////////////////////////////////////////////////////
- LBMReal vvx = ((((mfccc - mfaaa) + (mfcac - mfaca)) + ((mfcaa - mfacc) + (mfcca - mfaac))) +
- (((mfcba - mfabc) + (mfcbc - mfaba)) + ((mfcab - mfacb) + (mfccb - mfaab))) +
- (mfcbb - mfabb)) / rho;
- LBMReal vvy = ((((mfccc - mfaaa) + (mfaca - mfcac)) + ((mfacc - mfcaa) + (mfcca - mfaac))) +
- (((mfbca - mfbac) + (mfbcc - mfbaa)) + ((mfacb - mfcab) + (mfccb - mfaab))) +
- (mfbcb - mfbab)) / rho;
- LBMReal vvz = ((((mfccc - mfaaa) + (mfcac - mfaca)) + ((mfacc - mfcaa) + (mfaac - mfcca))) +
- (((mfbac - mfbca) + (mfbcc - mfbaa)) + ((mfabc - mfcba) + (mfcbc - mfaba))) +
- (mfbbc - mfbba)) / rho;
- ////////////////////////////////////////////////////////////////////////////////////
- //forcing
- ///////////////////////////////////////////////////////////////////////////////////////////
- if (withForcing)
- {
- muX1 = static_cast<double>(x1 - 1 + ix1 * maxX1);
- muX2 = static_cast<double>(x2 - 1 + ix2 * maxX2);
- muX3 = static_cast<double>(x3 - 1 + ix3 * maxX3);
-
- forcingX1 = muForcingX1.Eval();
- forcingX2 = muForcingX2.Eval();
- forcingX3 = muForcingX3.Eval();
-
- ////////////////////////////////////////////////////////////////////////////////////
- //! - Add half of the acceleration (body force) to the velocity as in Eq. (42)
- //! <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 += forcingX1 * deltaT * c1o2; // X
- vvy += forcingX2 * deltaT * c1o2; // Y
- vvz += forcingX3 * deltaT * c1o2; // Z
- }
- ////////////////////////////////////////////////////////////////////////////////////
- // calculate the square of velocities for this lattice node
- LBMReal vx2 = vvx * vvx;
- LBMReal vy2 = vvy * vvy;
- LBMReal vz2 = vvz * vvz;
- ////////////////////////////////////////////////////////////////////////////////////
- //! - Set relaxation limiters for third order cumulants to default value \f$ \lambda=0.001 \f$ according to section 6 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>
- //!
- LBMReal wadjust;
- LBMReal qudricLimitP = c1o100;
- LBMReal qudricLimitM = c1o100;
- LBMReal qudricLimitD = c1o100;
- ////////////////////////////////////////////////////////////////////////////////////
- //! - Chimera transform from well conditioned distributions to central moments 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. (6)-(14) 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>
- //!
- ////////////////////////////////////////////////////////////////////////////////////
- // Z - Dir
- forwardInverseChimeraWithK(mfaaa, mfaab, mfaac, vvz, vz2, c36, c1o36);
- forwardInverseChimeraWithK(mfaba, mfabb, mfabc, vvz, vz2, c9, c1o9);
- forwardInverseChimeraWithK(mfaca, mfacb, mfacc, vvz, vz2, c36, c1o36);
- forwardInverseChimeraWithK(mfbaa, mfbab, mfbac, vvz, vz2, c9, c1o9);
- forwardInverseChimeraWithK(mfbba, mfbbb, mfbbc, vvz, vz2, c9o4, c4o9);
- forwardInverseChimeraWithK(mfbca, mfbcb, mfbcc, vvz, vz2, c9, c1o9);
- forwardInverseChimeraWithK(mfcaa, mfcab, mfcac, vvz, vz2, c36, c1o36);
- forwardInverseChimeraWithK(mfcba, mfcbb, mfcbc, vvz, vz2, c9, c1o9);
- forwardInverseChimeraWithK(mfcca, mfccb, mfccc, vvz, vz2, c36, c1o36);
-
- ////////////////////////////////////////////////////////////////////////////////////
- // Y - Dir
- forwardInverseChimeraWithK(mfaaa, mfaba, mfaca, vvy, vy2, c6, c1o6);
- forwardChimera(mfaab, mfabb, mfacb, vvy, vy2);
- forwardInverseChimeraWithK(mfaac, mfabc, mfacc, vvy, vy2, c18, c1o18);
- forwardInverseChimeraWithK(mfbaa, mfbba, mfbca, vvy, vy2, c3o2, c2o3);
- forwardChimera(mfbab, mfbbb, mfbcb, vvy, vy2);
- forwardInverseChimeraWithK(mfbac, mfbbc, mfbcc, vvy, vy2, c9o2, c2o9);
- forwardInverseChimeraWithK(mfcaa, mfcba, mfcca, vvy, vy2, c6, c1o6);
- forwardChimera(mfcab, mfcbb, mfccb, vvy, vy2);
- forwardInverseChimeraWithK(mfcac, mfcbc, mfccc, vvy, vy2, c18, c1o18);
-
- ////////////////////////////////////////////////////////////////////////////////////
- // X - Dir
- forwardInverseChimeraWithK(mfaaa, mfbaa, mfcaa, vvx, vx2, c1, c1);
- forwardChimera(mfaba, mfbba, mfcba, vvx, vx2);
- forwardInverseChimeraWithK(mfaca, mfbca, mfcca, vvx, vx2, c3, c1o3);
- forwardChimera(mfaab, mfbab, mfcab, vvx, vx2);
- forwardChimera(mfabb, mfbbb, mfcbb, vvx, vx2);
- forwardChimera(mfacb, mfbcb, mfccb, vvx, vx2);
- forwardInverseChimeraWithK(mfaac, mfbac, mfcac, vvx, vx2, c3, c1o3);
- forwardChimera(mfabc, mfbbc, mfcbc, vvx, vx2);
- forwardInverseChimeraWithK(mfacc, mfbcc, mfccc, vvx, vx2, c9, 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} \f$, \f$ C_{210}+C_{012} \f$, \f$ 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} \f$, \f$ C_{210}-C_{012} \f$, \f$ 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} \f$, \f$ C_{202} \f$, \f$ C_{022} \f$, \f$ C_{211} \f$, \f$ C_{121} \f$, \f$ 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}\f$, \f$C_{212}\f$, \f$C_{122}\f$: \f$\omega_9=O5=1.0\f$.
- //! - Sixth order cumulant \f$ C_{222}\f$: \f$\omega_{10}=O6=1.0\f$.
- //!
- ////////////////////////////////////////////////////////////
- //2.
- LBMReal OxxPyyPzz = c1;
- ////////////////////////////////////////////////////////////
- //3.
- LBMReal OxyyPxzz = c8 * (-c2 + omega) * ( c1 + c2*omega) / (-c8 - c14*omega + c7*omega*omega);
- LBMReal OxyyMxzz = c8 * (-c2 + omega) * (-c7 + c4*omega) / (c56 - c50*omega + c9*omega*omega);
- LBMReal Oxyz = c24 * (-c2 + omega) * (-c2 - c7*omega + c3*omega*omega) / (c48 + c152*omega - c130*omega*omega + c29*omega*omega*omega);
- ////////////////////////////////////////////////////////////
- //4.
- LBMReal O4 = c1;
- ////////////////////////////////////////////////////////////
- //5.
- LBMReal O5 = c1;
- ////////////////////////////////////////////////////////////
- //6.
- LBMReal O6 = c1;
-
- ////////////////////////////////////////////////////////////////////////////////////
- //! - A and B: parameters for fourth order convergence of the diffusion term according to Eq. (114) and (115)
- //! <a href="https://doi.org/10.1016/j.jcp.2017.05.040"><b>[ M. Geier et al. (2017), DOI:10.1016/j.jcp.2017.05.040 ]</b></a>
- //! with simplifications assuming \f$\omega_2 = 1.0\f$ (modify for different bulk viscosity).
- //!
- LBMReal A = (c4 + c2*omega - c3*omega*omega) / (c2 - c7*omega + c5*omega*omega);
- LBMReal B = (c4 + c28*omega - c14*omega*omega) / (c6 - c21*omega + c15*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.
- LBMReal CUMcbb = mfcbb - ((mfcaa + c1o3) * mfabb + c2 * mfbba * mfbab) * OOrho;
- LBMReal CUMbcb = mfbcb - ((mfaca + c1o3) * mfbab + c2 * mfbba * mfabb) * OOrho;
- LBMReal CUMbbc = mfbbc - ((mfaac + c1o3) * mfbba + c2 * mfbab * mfabb) * OOrho;
-
- LBMReal CUMcca = mfcca - (((mfcaa * mfaca + c2 * mfbba * mfbba) + c1o3 * (mfcaa + mfaca)) * OOrho - c1o9 * (drho * OOrho));
- LBMReal CUMcac = mfcac - (((mfcaa * mfaac + c2 * mfbab * mfbab) + c1o3 * (mfcaa + mfaac)) * OOrho - c1o9 * (drho * OOrho));
- LBMReal CUMacc = mfacc - (((mfaac * mfaca + c2 * mfabb * mfabb) + c1o3 * (mfaac + mfaca)) * OOrho - c1o9 * (drho * OOrho));
- ////////////////////////////////////////////////////////////
- //5.
- LBMReal CUMbcc = mfbcc - ((mfaac * mfbca + mfaca * mfbac + c4 * mfabb * mfbbb + c2 * (mfbab * mfacb + mfbba * mfabc)) + c1o3 * (mfbca + mfbac)) * OOrho;
- LBMReal CUMcbc = mfcbc - ((mfaac * mfcba + mfcaa * mfabc + c4 * mfbab * mfbbb + c2 * (mfabb * mfcab + mfbba * mfbac)) + c1o3 * (mfcba + mfabc)) * OOrho;
- LBMReal CUMccb = mfccb - ((mfcaa * mfacb + mfaca * mfcab + c4 * mfbba * mfbbb + c2 * (mfbab * mfbca + mfabb * mfcba)) + c1o3 * (mfacb + mfcab)) * OOrho;
- ////////////////////////////////////////////////////////////
- //6.
- LBMReal CUMccc = mfccc + ((-c4 * mfbbb * mfbbb
- - (mfcaa * mfacc + mfaca * mfcac + mfaac * mfcca)
- - c4 * (mfabb * mfcbb + mfbab * mfbcb + mfbba * mfbbc)
- - c2 * (mfbca * mfbac + mfcba * mfabc + mfcab * mfacb)) * OOrho
- + (c4 * (mfbab * mfbab * mfaca + mfabb * mfabb * mfcaa + mfbba * mfbba * mfaac)
- + c2 * (mfcaa * mfaca * mfaac)
- + c16 * mfbba * mfbab * mfabb) * OOrho * OOrho
- - c1o3 * (mfacc + mfcac + mfcca) * OOrho
- - c1o9 * (mfcaa + mfaca + mfaac) * OOrho
- + (c2 * (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.
- LBMReal mxxPyyPzz = mfcaa + mfaca + mfaac;
- LBMReal mxxMyy = mfcaa - mfaca;
- LBMReal mxxMzz = mfcaa - mfaac;
- ////////////////////////////////////////////////////////////
- //3.
- LBMReal mxxyPyzz = mfcba + mfabc;
- LBMReal mxxyMyzz = mfcba - mfabc;
-
- LBMReal mxxzPyyz = mfcab + mfacb;
- LBMReal mxxzMyyz = mfcab - mfacb;
-
- LBMReal mxyyPxzz = mfbca + mfbac;
- LBMReal 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.
- //!
- LBMReal Dxy = -c3 * omega * mfbba;
- LBMReal Dxz = -c3 * omega * mfbab;
- LBMReal Dyz = -c3 * omega * mfabb;
- LBMReal dxux = c1o2 * (-omega) * (mxxMyy + mxxMzz) + c1o2 * OxxPyyPzz * (mfaaa - mxxPyyPzz);
- LBMReal dyuy = dxux + omega * c3o2 * mxxMyy;
- LBMReal 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) - c3 * (c1 - c1o2 * OxxPyyPzz) * (vx2 * dxux + vy2 * dyuy + vz2 * dzuz);
- mxxMyy += omega * (-mxxMyy) - c3 * (c1 + c1o2 * (-omega)) * (vx2 * dxux - vy2 * dyuy);
- mxxMzz += omega * (-mxxMzz) - c3 * (c1 + 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 + (c1 - Oxyz) * abs(mfbbb) / (abs(mfbbb) + qudricLimitD);
- mfbbb += wadjust * (-mfbbb);
- wadjust = OxyyPxzz + (c1 - OxyyPxzz) * abs(mxxyPyzz) / (abs(mxxyPyzz) + qudricLimitP);
- mxxyPyzz += wadjust * (-mxxyPyzz);
- wadjust = OxyyMxzz + (c1 - OxyyMxzz) * abs(mxxyMyzz) / (abs(mxxyMyzz) + qudricLimitM);
- mxxyMyzz += wadjust * (-mxxyMyzz);
- wadjust = OxyyPxzz + (c1 - OxyyPxzz) * abs(mxxzPyyz) / (abs(mxxzPyyz) + qudricLimitP);
- mxxzPyyz += wadjust * (-mxxzPyyz);
- wadjust = OxyyMxzz + (c1 - OxyyMxzz) * abs(mxxzMyyz) / (abs(mxxzMyyz) + qudricLimitM);
- mxxzMyyz += wadjust * (-mxxzMyyz);
- wadjust = OxyyPxzz + (c1 - OxyyPxzz) * abs(mxyyPxzz) / (abs(mxyyPxzz) + qudricLimitP);
- mxyyPxzz += wadjust * (-mxyyPxzz);
- wadjust = OxyyMxzz + (c1 - 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 * (-c2 * mxxMyy + mxxMzz + mxxPyyPzz);
- mfaac = c1o3 * (mxxMyy - c2 * 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 * (c1 / omega - c1o2) * (dyuy + dzuz) * c2o3 * A + (c1 - O4) * (CUMacc);
- CUMcac = -O4 * (c1 / omega - c1o2) * (dxux + dzuz) * c2o3 * A + (c1 - O4) * (CUMcac);
- CUMcca = -O4 * (c1 / omega - c1o2) * (dyuy + dxux) * c2o3 * A + (c1 - O4) * (CUMcca);
- CUMbbc = -O4 * (c1 / omega - c1o2) * Dxy * c1o3 * B + (c1 - O4) * (CUMbbc);
- CUMbcb = -O4 * (c1 / omega - c1o2) * Dxz * c1o3 * B + (c1 - O4) * (CUMbcb);
- CUMcbb = -O4 * (c1 / omega - c1o2) * Dyz * c1o3 * B + (c1 - 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 * ((c3 * mfcaa + c1) * mfabb + c6 * mfbba * mfbab) * OOrho;
- mfbcb = CUMbcb + c1o3 * ((c3 * mfaca + c1) * mfbab + c6 * mfbba * mfabb) * OOrho;
- mfbbc = CUMbbc + c1o3 * ((c3 * mfaac + c1) * mfbba + c6 * mfbab * mfabb) * OOrho;
-
- mfcca = CUMcca + (((mfcaa * mfaca + c2 * mfbba * mfbba) * c9 + c3 * (mfcaa + mfaca)) * OOrho - (drho * OOrho)) * c1o9;
- mfcac = CUMcac + (((mfcaa * mfaac + c2 * mfbab * mfbab) * c9 + c3 * (mfcaa + mfaac)) * OOrho - (drho * OOrho)) * c1o9;
- mfacc = CUMacc + (((mfaac * mfaca + c2 * mfabb * mfabb) * c9 + c3 * (mfaac + mfaca)) * OOrho - (drho * OOrho)) * c1o9;
-
- //////////////////////////////////////////////////////////////////////////
- //5.
- mfbcc = CUMbcc + c1o3 * (c3 * (mfaac * mfbca + mfaca * mfbac + c4 * mfabb * mfbbb + c2 * (mfbab * mfacb + mfbba * mfabc)) + (mfbca + mfbac)) * OOrho;
- mfcbc = CUMcbc + c1o3 * (c3 * (mfaac * mfcba + mfcaa * mfabc + c4 * mfbab * mfbbb + c2 * (mfabb * mfcab + mfbba * mfbac)) + (mfcba + mfabc)) * OOrho;
- mfccb = CUMccb + c1o3 * (c3 * (mfcaa * mfacb + mfaca * mfcab + c4 * mfbba * mfbbb + c2 * (mfbab * mfbca + mfabb * mfcba)) + (mfacb + mfcab)) * OOrho;
-
- //////////////////////////////////////////////////////////////////////////
- //6.
- mfccc = CUMccc - ((-c4 * mfbbb * mfbbb
- - (mfcaa * mfacc + mfaca * mfcac + mfaac * mfcca)
- - c4 * (mfabb * mfcbb + mfbab * mfbcb + mfbba * mfbbc)
- - c2 * (mfbca * mfbac + mfcba * mfabc + mfcab * mfacb)) * OOrho
- + (c4 * (mfbab * mfbab * mfaca + mfabb * mfabb * mfcaa + mfbba * mfbba * mfaac)
- + c2 * (mfcaa * mfaca * mfaac)
- + c16 * mfbba * mfbab * mfabb) * OOrho * OOrho
- - c1o3 * (mfacc + mfcac + mfcca) * OOrho
- - c1o9 * (mfcaa + mfaca + mfaac) * OOrho
- + (c2 * (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
- backwardInverseChimeraWithK(mfaaa, mfbaa, mfcaa, vvx, vx2, c1, c1);
- backwardChimera(mfaba, mfbba, mfcba, vvx, vx2);
- backwardInverseChimeraWithK(mfaca, mfbca, mfcca, vvx, vx2, c3, c1o3);
- backwardChimera(mfaab, mfbab, mfcab, vvx, vx2);
- backwardChimera(mfabb, mfbbb, mfcbb, vvx, vx2);
- backwardChimera(mfacb, mfbcb, mfccb, vvx, vx2);
- backwardInverseChimeraWithK(mfaac, mfbac, mfcac, vvx, vx2, c3, c1o3);
- backwardChimera(mfabc, mfbbc, mfcbc, vvx, vx2);
- backwardInverseChimeraWithK(mfacc, mfbcc, mfccc, vvx, vx2, c9, c1o9);
-
- ////////////////////////////////////////////////////////////////////////////////////
- // Y - Dir
- backwardInverseChimeraWithK(mfaaa, mfaba, mfaca, vvy, vy2, c6, c1o6);
- backwardChimera(mfaab, mfabb, mfacb, vvy, vy2);
- backwardInverseChimeraWithK(mfaac, mfabc, mfacc, vvy, vy2, c18, c1o18);
- backwardInverseChimeraWithK(mfbaa, mfbba, mfbca, vvy, vy2, c3o2, c2o3);
- backwardChimera(mfbab, mfbbb, mfbcb, vvy, vy2);
- backwardInverseChimeraWithK(mfbac, mfbbc, mfbcc, vvy, vy2, c9o2, c2o9);
- backwardInverseChimeraWithK(mfcaa, mfcba, mfcca, vvy, vy2, c6, c1o6);
- backwardChimera(mfcab, mfcbb, mfccb, vvy, vy2);
- backwardInverseChimeraWithK(mfcac, mfcbc, mfccc, vvy, vy2, c18, c1o18);
-
- ////////////////////////////////////////////////////////////////////////////////////
- // Z - Dir
- backwardInverseChimeraWithK(mfaaa, mfaab, mfaac, vvz, vz2, c36, c1o36);
- backwardInverseChimeraWithK(mfaba, mfabb, mfabc, vvz, vz2, c9, c1o9);
- backwardInverseChimeraWithK(mfaca, mfacb, mfacc, vvz, vz2, c36, c1o36);
- backwardInverseChimeraWithK(mfbaa, mfbab, mfbac, vvz, vz2, c9, c1o9);
- backwardInverseChimeraWithK(mfbba, mfbbb, mfbbc, vvz, vz2, c9o4, c4o9);
- backwardInverseChimeraWithK(mfbca, mfbcb, mfbcc, vvz, vz2, c9, c1o9);
- backwardInverseChimeraWithK(mfcaa, mfcab, mfcac, vvz, vz2, c36, c1o36);
- backwardInverseChimeraWithK(mfcba, mfcbb, mfcbc, vvz, vz2, c9, c1o9);
- backwardInverseChimeraWithK(mfcca, mfccb, mfccc, vvz, vz2, c36, c1o36);
- ////////////////////////////////////////////////////////////////////////////////////
-
- //////////////////////////////////////////////////////////////////////////
- //proof correctness
- //////////////////////////////////////////////////////////////////////////
+ if (!bcArray->isSolid(x1, x2, x3) && !bcArray->isUndefined(x1, x2, x3))
+ {
+ int x1p = x1 + 1;
+ int x2p = x2 + 1;
+ int x3p = x3 + 1;
+ //////////////////////////////////////////////////////////////////////////
+ //////////////////////////////////////////////////////////////////////////
+ //! - Read 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>
+ //!
+ ////////////////////////////////////////////////////////////////////////////
+ //////////////////////////////////////////////////////////////////////////
+
+ //E N T
+ //c c c
+ //////////
+ //W S B
+ //a a a
+
+ //Rest is b
+
+ //mfxyz
+ //a - negative
+ //b - null
+ //c - positive
+
+ // a b c
+ //-1 0 1
+
+ LBMReal mfcbb = (*this->localDistributions)(D3Q27System::ET_E, x1, x2, x3);
+ LBMReal mfbcb = (*this->localDistributions)(D3Q27System::ET_N, x1, x2, x3);
+ LBMReal mfbbc = (*this->localDistributions)(D3Q27System::ET_T, x1, x2, x3);
+ LBMReal mfccb = (*this->localDistributions)(D3Q27System::ET_NE, x1, x2, x3);
+ LBMReal mfacb = (*this->localDistributions)(D3Q27System::ET_NW, x1p, x2, x3);
+ LBMReal mfcbc = (*this->localDistributions)(D3Q27System::ET_TE, x1, x2, x3);
+ LBMReal mfabc = (*this->localDistributions)(D3Q27System::ET_TW, x1p, x2, x3);
+ LBMReal mfbcc = (*this->localDistributions)(D3Q27System::ET_TN, x1, x2, x3);
+ LBMReal mfbac = (*this->localDistributions)(D3Q27System::ET_TS, x1, x2p, x3);
+ LBMReal mfccc = (*this->localDistributions)(D3Q27System::ET_TNE, x1, x2, x3);
+ LBMReal mfacc = (*this->localDistributions)(D3Q27System::ET_TNW, x1p, x2, x3);
+ LBMReal mfcac = (*this->localDistributions)(D3Q27System::ET_TSE, x1, x2p, x3);
+ LBMReal mfaac = (*this->localDistributions)(D3Q27System::ET_TSW, x1p, x2p, x3);
+
+ LBMReal mfabb = (*this->nonLocalDistributions)(D3Q27System::ET_W, x1p, x2, x3);
+ LBMReal mfbab = (*this->nonLocalDistributions)(D3Q27System::ET_S, x1, x2p, x3);
+ LBMReal mfbba = (*this->nonLocalDistributions)(D3Q27System::ET_B, x1, x2, x3p);
+ LBMReal mfaab = (*this->nonLocalDistributions)(D3Q27System::ET_SW, x1p, x2p, x3);
+ LBMReal mfcab = (*this->nonLocalDistributions)(D3Q27System::ET_SE, x1, x2p, x3);
+ LBMReal mfaba = (*this->nonLocalDistributions)(D3Q27System::ET_BW, x1p, x2, x3p);
+ LBMReal mfcba = (*this->nonLocalDistributions)(D3Q27System::ET_BE, x1, x2, x3p);
+ LBMReal mfbaa = (*this->nonLocalDistributions)(D3Q27System::ET_BS, x1, x2p, x3p);
+ LBMReal mfbca = (*this->nonLocalDistributions)(D3Q27System::ET_BN, x1, x2, x3p);
+ LBMReal mfaaa = (*this->nonLocalDistributions)(D3Q27System::ET_BSW, x1p, x2p, x3p);
+ LBMReal mfcaa = (*this->nonLocalDistributions)(D3Q27System::ET_BSE, x1, x2p, x3p);
+ LBMReal mfaca = (*this->nonLocalDistributions)(D3Q27System::ET_BNW, x1p, x2, x3p);
+ LBMReal mfcca = (*this->nonLocalDistributions)(D3Q27System::ET_BNE, x1, x2, x3p);
+
+ LBMReal mfbbb = (*this->restDistributions)(x1, x2, x3);
+
+ ////////////////////////////////////////////////////////////////////////////////////
+ //! - Calculate density and velocity using pyramid summation for low round-off errors as in Eq. (J1)-(J3)
+ //! <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>
+ //!
+ LBMReal 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;
+
+ LBMReal rho = c1 + drho;
+ LBMReal OOrho = c1 / rho;
+ ////////////////////////////////////////////////////////////////////////////////////
+ LBMReal vvx = ((((mfccc - mfaaa) + (mfcac - mfaca)) + ((mfcaa - mfacc) + (mfcca - mfaac))) +
+ (((mfcba - mfabc) + (mfcbc - mfaba)) + ((mfcab - mfacb) + (mfccb - mfaab))) +
+ (mfcbb - mfabb)) / rho;
+ LBMReal vvy = ((((mfccc - mfaaa) + (mfaca - mfcac)) + ((mfacc - mfcaa) + (mfcca - mfaac))) +
+ (((mfbca - mfbac) + (mfbcc - mfbaa)) + ((mfacb - mfcab) + (mfccb - mfaab))) +
+ (mfbcb - mfbab)) / rho;
+ LBMReal vvz = ((((mfccc - mfaaa) + (mfcac - mfaca)) + ((mfacc - mfcaa) + (mfaac - mfcca))) +
+ (((mfbac - mfbca) + (mfbcc - mfbaa)) + ((mfabc - mfcba) + (mfcbc - mfaba))) +
+ (mfbbc - mfbba)) / rho;
+ ////////////////////////////////////////////////////////////////////////////////////
+ //forcing
+ ///////////////////////////////////////////////////////////////////////////////////////////
+ if (withForcing)
+ {
+ muX1 = static_cast<double>(x1 - 1 + ix1 * maxX1);
+ muX2 = static_cast<double>(x2 - 1 + ix2 * maxX2);
+ muX3 = static_cast<double>(x3 - 1 + ix3 * maxX3);
+
+ forcingX1 = muForcingX1.Eval();
+ forcingX2 = muForcingX2.Eval();
+ forcingX3 = muForcingX3.Eval();
+
+ ////////////////////////////////////////////////////////////////////////////////////
+ //! - Add half of the acceleration (body force) to the velocity as in Eq. (42)
+ //! <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 += forcingX1 * deltaT * c1o2; // X
+ vvy += forcingX2 * deltaT * c1o2; // Y
+ vvz += forcingX3 * deltaT * c1o2; // Z
+ }
+ ////////////////////////////////////////////////////////////////////////////////////
+ // calculate the square of velocities for this lattice node
+ LBMReal vx2 = vvx * vvx;
+ LBMReal vy2 = vvy * vvy;
+ LBMReal vz2 = vvz * vvz;
+ ////////////////////////////////////////////////////////////////////////////////////
+ //! - Set relaxation limiters for third order cumulants to default value \f$ \lambda=0.001 \f$ according to section 6 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>
+ //!
+ LBMReal wadjust;
+ LBMReal qudricLimitP = c1o100;
+ LBMReal qudricLimitM = c1o100;
+ LBMReal qudricLimitD = c1o100;
+ ////////////////////////////////////////////////////////////////////////////////////
+ //! - Chimera transform from well conditioned distributions to central moments 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. (6)-(14) 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>
+ //!
+ ////////////////////////////////////////////////////////////////////////////////////
+ // Z - Dir
+ forwardInverseChimeraWithK(mfaaa, mfaab, mfaac, vvz, vz2, c36, c1o36);
+ forwardInverseChimeraWithK(mfaba, mfabb, mfabc, vvz, vz2, c9, c1o9);
+ forwardInverseChimeraWithK(mfaca, mfacb, mfacc, vvz, vz2, c36, c1o36);
+ forwardInverseChimeraWithK(mfbaa, mfbab, mfbac, vvz, vz2, c9, c1o9);
+ forwardInverseChimeraWithK(mfbba, mfbbb, mfbbc, vvz, vz2, c9o4, c4o9);
+ forwardInverseChimeraWithK(mfbca, mfbcb, mfbcc, vvz, vz2, c9, c1o9);
+ forwardInverseChimeraWithK(mfcaa, mfcab, mfcac, vvz, vz2, c36, c1o36);
+ forwardInverseChimeraWithK(mfcba, mfcbb, mfcbc, vvz, vz2, c9, c1o9);
+ forwardInverseChimeraWithK(mfcca, mfccb, mfccc, vvz, vz2, c36, c1o36);
+
+ ////////////////////////////////////////////////////////////////////////////////////
+ // Y - Dir
+ forwardInverseChimeraWithK(mfaaa, mfaba, mfaca, vvy, vy2, c6, c1o6);
+ forwardChimera(mfaab, mfabb, mfacb, vvy, vy2);
+ forwardInverseChimeraWithK(mfaac, mfabc, mfacc, vvy, vy2, c18, c1o18);
+ forwardInverseChimeraWithK(mfbaa, mfbba, mfbca, vvy, vy2, c3o2, c2o3);
+ forwardChimera(mfbab, mfbbb, mfbcb, vvy, vy2);
+ forwardInverseChimeraWithK(mfbac, mfbbc, mfbcc, vvy, vy2, c9o2, c2o9);
+ forwardInverseChimeraWithK(mfcaa, mfcba, mfcca, vvy, vy2, c6, c1o6);
+ forwardChimera(mfcab, mfcbb, mfccb, vvy, vy2);
+ forwardInverseChimeraWithK(mfcac, mfcbc, mfccc, vvy, vy2, c18, c1o18);
+
+ ////////////////////////////////////////////////////////////////////////////////////
+ // X - Dir
+ forwardInverseChimeraWithK(mfaaa, mfbaa, mfcaa, vvx, vx2, c1, c1);
+ forwardChimera(mfaba, mfbba, mfcba, vvx, vx2);
+ forwardInverseChimeraWithK(mfaca, mfbca, mfcca, vvx, vx2, c3, c1o3);
+ forwardChimera(mfaab, mfbab, mfcab, vvx, vx2);
+ forwardChimera(mfabb, mfbbb, mfcbb, vvx, vx2);
+ forwardChimera(mfacb, mfbcb, mfccb, vvx, vx2);
+ forwardInverseChimeraWithK(mfaac, mfbac, mfcac, vvx, vx2, c3, c1o3);
+ forwardChimera(mfabc, mfbbc, mfcbc, vvx, vx2);
+ forwardInverseChimeraWithK(mfacc, mfbcc, mfccc, vvx, vx2, c9, 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} \f$, \f$ C_{210}+C_{012} \f$, \f$ 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} \f$, \f$ C_{210}-C_{012} \f$, \f$ 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} \f$, \f$ C_{202} \f$, \f$ C_{022} \f$, \f$ C_{211} \f$, \f$ C_{121} \f$, \f$ 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}\f$, \f$C_{212}\f$, \f$C_{122}\f$: \f$\omega_9=O5=1.0\f$.
+ //! - Sixth order cumulant \f$ C_{222}\f$: \f$\omega_{10}=O6=1.0\f$.
+ //!
+ ////////////////////////////////////////////////////////////
+ //2.
+ LBMReal OxxPyyPzz = c1;
+ ////////////////////////////////////////////////////////////
+ //3.
+ LBMReal OxyyPxzz = c8 * (-c2 + omega) * ( c1 + c2*omega) / (-c8 - c14*omega + c7*omega*omega);
+ LBMReal OxyyMxzz = c8 * (-c2 + omega) * (-c7 + c4*omega) / (c56 - c50*omega + c9*omega*omega);
+ LBMReal Oxyz = c24 * (-c2 + omega) * (-c2 - c7*omega + c3*omega*omega) / (c48 + c152*omega - c130*omega*omega + c29*omega*omega*omega);
+ ////////////////////////////////////////////////////////////
+ //4.
+ LBMReal O4 = c1;
+ ////////////////////////////////////////////////////////////
+ //5.
+ LBMReal O5 = c1;
+ ////////////////////////////////////////////////////////////
+ //6.
+ LBMReal O6 = c1;
+
+ ////////////////////////////////////////////////////////////////////////////////////
+ //! - A and B: parameters for fourth order convergence of the diffusion term according to Eq. (114) and (115)
+ //! <a href="https://doi.org/10.1016/j.jcp.2017.05.040"><b>[ M. Geier et al. (2017), DOI:10.1016/j.jcp.2017.05.040 ]</b></a>
+ //! with simplifications assuming \f$\omega_2 = 1.0\f$ (modify for different bulk viscosity).
+ //!
+ LBMReal A = (c4 + c2*omega - c3*omega*omega) / (c2 - c7*omega + c5*omega*omega);
+ LBMReal B = (c4 + c28*omega - c14*omega*omega) / (c6 - c21*omega + c15*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.
+ LBMReal CUMcbb = mfcbb - ((mfcaa + c1o3) * mfabb + c2 * mfbba * mfbab) * OOrho;
+ LBMReal CUMbcb = mfbcb - ((mfaca + c1o3) * mfbab + c2 * mfbba * mfabb) * OOrho;
+ LBMReal CUMbbc = mfbbc - ((mfaac + c1o3) * mfbba + c2 * mfbab * mfabb) * OOrho;
+
+ LBMReal CUMcca = mfcca - (((mfcaa * mfaca + c2 * mfbba * mfbba) + c1o3 * (mfcaa + mfaca)) * OOrho - c1o9 * (drho * OOrho));
+ LBMReal CUMcac = mfcac - (((mfcaa * mfaac + c2 * mfbab * mfbab) + c1o3 * (mfcaa + mfaac)) * OOrho - c1o9 * (drho * OOrho));
+ LBMReal CUMacc = mfacc - (((mfaac * mfaca + c2 * mfabb * mfabb) + c1o3 * (mfaac + mfaca)) * OOrho - c1o9 * (drho * OOrho));
+ ////////////////////////////////////////////////////////////
+ //5.
+ LBMReal CUMbcc = mfbcc - ((mfaac * mfbca + mfaca * mfbac + c4 * mfabb * mfbbb + c2 * (mfbab * mfacb + mfbba * mfabc)) + c1o3 * (mfbca + mfbac)) * OOrho;
+ LBMReal CUMcbc = mfcbc - ((mfaac * mfcba + mfcaa * mfabc + c4 * mfbab * mfbbb + c2 * (mfabb * mfcab + mfbba * mfbac)) + c1o3 * (mfcba + mfabc)) * OOrho;
+ LBMReal CUMccb = mfccb - ((mfcaa * mfacb + mfaca * mfcab + c4 * mfbba * mfbbb + c2 * (mfbab * mfbca + mfabb * mfcba)) + c1o3 * (mfacb + mfcab)) * OOrho;
+ ////////////////////////////////////////////////////////////
+ //6.
+ LBMReal CUMccc = mfccc + ((-c4 * mfbbb * mfbbb
+ - (mfcaa * mfacc + mfaca * mfcac + mfaac * mfcca)
+ - c4 * (mfabb * mfcbb + mfbab * mfbcb + mfbba * mfbbc)
+ - c2 * (mfbca * mfbac + mfcba * mfabc + mfcab * mfacb)) * OOrho
+ + (c4 * (mfbab * mfbab * mfaca + mfabb * mfabb * mfcaa + mfbba * mfbba * mfaac)
+ + c2 * (mfcaa * mfaca * mfaac)
+ + c16 * mfbba * mfbab * mfabb) * OOrho * OOrho
+ - c1o3 * (mfacc + mfcac + mfcca) * OOrho
+ - c1o9 * (mfcaa + mfaca + mfaac) * OOrho
+ + (c2 * (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.
+ LBMReal mxxPyyPzz = mfcaa + mfaca + mfaac;
+ LBMReal mxxMyy = mfcaa - mfaca;
+ LBMReal mxxMzz = mfcaa - mfaac;
+ ////////////////////////////////////////////////////////////
+ //3.
+ LBMReal mxxyPyzz = mfcba + mfabc;
+ LBMReal mxxyMyzz = mfcba - mfabc;
+
+ LBMReal mxxzPyyz = mfcab + mfacb;
+ LBMReal mxxzMyyz = mfcab - mfacb;
+
+ LBMReal mxyyPxzz = mfbca + mfbac;
+ LBMReal 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.
+ //!
+ LBMReal Dxy = -c3 * omega * mfbba;
+ LBMReal Dxz = -c3 * omega * mfbab;
+ LBMReal Dyz = -c3 * omega * mfabb;
+ LBMReal dxux = c1o2 * (-omega) * (mxxMyy + mxxMzz) + c1o2 * OxxPyyPzz * (mfaaa - mxxPyyPzz);
+ LBMReal dyuy = dxux + omega * c3o2 * mxxMyy;
+ LBMReal 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) - c3 * (c1 - c1o2 * OxxPyyPzz) * (vx2 * dxux + vy2 * dyuy + vz2 * dzuz);
+ mxxMyy += omega * (-mxxMyy) - c3 * (c1 + c1o2 * (-omega)) * (vx2 * dxux - vy2 * dyuy);
+ mxxMzz += omega * (-mxxMzz) - c3 * (c1 + 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 + (c1 - Oxyz) * abs(mfbbb) / (abs(mfbbb) + qudricLimitD);
+ mfbbb += wadjust * (-mfbbb);
+ wadjust = OxyyPxzz + (c1 - OxyyPxzz) * abs(mxxyPyzz) / (abs(mxxyPyzz) + qudricLimitP);
+ mxxyPyzz += wadjust * (-mxxyPyzz);
+ wadjust = OxyyMxzz + (c1 - OxyyMxzz) * abs(mxxyMyzz) / (abs(mxxyMyzz) + qudricLimitM);
+ mxxyMyzz += wadjust * (-mxxyMyzz);
+ wadjust = OxyyPxzz + (c1 - OxyyPxzz) * abs(mxxzPyyz) / (abs(mxxzPyyz) + qudricLimitP);
+ mxxzPyyz += wadjust * (-mxxzPyyz);
+ wadjust = OxyyMxzz + (c1 - OxyyMxzz) * abs(mxxzMyyz) / (abs(mxxzMyyz) + qudricLimitM);
+ mxxzMyyz += wadjust * (-mxxzMyyz);
+ wadjust = OxyyPxzz + (c1 - OxyyPxzz) * abs(mxyyPxzz) / (abs(mxyyPxzz) + qudricLimitP);
+ mxyyPxzz += wadjust * (-mxyyPxzz);
+ wadjust = OxyyMxzz + (c1 - 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 * (-c2 * mxxMyy + mxxMzz + mxxPyyPzz);
+ mfaac = c1o3 * (mxxMyy - c2 * 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 * (c1 / omega - c1o2) * (dyuy + dzuz) * c2o3 * A + (c1 - O4) * (CUMacc);
+ CUMcac = -O4 * (c1 / omega - c1o2) * (dxux + dzuz) * c2o3 * A + (c1 - O4) * (CUMcac);
+ CUMcca = -O4 * (c1 / omega - c1o2) * (dyuy + dxux) * c2o3 * A + (c1 - O4) * (CUMcca);
+ CUMbbc = -O4 * (c1 / omega - c1o2) * Dxy * c1o3 * B + (c1 - O4) * (CUMbbc);
+ CUMbcb = -O4 * (c1 / omega - c1o2) * Dxz * c1o3 * B + (c1 - O4) * (CUMbcb);
+ CUMcbb = -O4 * (c1 / omega - c1o2) * Dyz * c1o3 * B + (c1 - 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 * ((c3 * mfcaa + c1) * mfabb + c6 * mfbba * mfbab) * OOrho;
+ mfbcb = CUMbcb + c1o3 * ((c3 * mfaca + c1) * mfbab + c6 * mfbba * mfabb) * OOrho;
+ mfbbc = CUMbbc + c1o3 * ((c3 * mfaac + c1) * mfbba + c6 * mfbab * mfabb) * OOrho;
+
+ mfcca = CUMcca + (((mfcaa * mfaca + c2 * mfbba * mfbba) * c9 + c3 * (mfcaa + mfaca)) * OOrho - (drho * OOrho)) * c1o9;
+ mfcac = CUMcac + (((mfcaa * mfaac + c2 * mfbab * mfbab) * c9 + c3 * (mfcaa + mfaac)) * OOrho - (drho * OOrho)) * c1o9;
+ mfacc = CUMacc + (((mfaac * mfaca + c2 * mfabb * mfabb) * c9 + c3 * (mfaac + mfaca)) * OOrho - (drho * OOrho)) * c1o9;
+
+ //////////////////////////////////////////////////////////////////////////
+ //5.
+ mfbcc = CUMbcc + c1o3 * (c3 * (mfaac * mfbca + mfaca * mfbac + c4 * mfabb * mfbbb + c2 * (mfbab * mfacb + mfbba * mfabc)) + (mfbca + mfbac)) * OOrho;
+ mfcbc = CUMcbc + c1o3 * (c3 * (mfaac * mfcba + mfcaa * mfabc + c4 * mfbab * mfbbb + c2 * (mfabb * mfcab + mfbba * mfbac)) + (mfcba + mfabc)) * OOrho;
+ mfccb = CUMccb + c1o3 * (c3 * (mfcaa * mfacb + mfaca * mfcab + c4 * mfbba * mfbbb + c2 * (mfbab * mfbca + mfabb * mfcba)) + (mfacb + mfcab)) * OOrho;
+
+ //////////////////////////////////////////////////////////////////////////
+ //6.
+ mfccc = CUMccc - ((-c4 * mfbbb * mfbbb
+ - (mfcaa * mfacc + mfaca * mfcac + mfaac * mfcca)
+ - c4 * (mfabb * mfcbb + mfbab * mfbcb + mfbba * mfbbc)
+ - c2 * (mfbca * mfbac + mfcba * mfabc + mfcab * mfacb)) * OOrho
+ + (c4 * (mfbab * mfbab * mfaca + mfabb * mfabb * mfcaa + mfbba * mfbba * mfaac)
+ + c2 * (mfcaa * mfaca * mfaac)
+ + c16 * mfbba * mfbab * mfabb) * OOrho * OOrho
+ - c1o3 * (mfacc + mfcac + mfcca) * OOrho
+ - c1o9 * (mfcaa + mfaca + mfaac) * OOrho
+ + (c2 * (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
+ backwardInverseChimeraWithK(mfaaa, mfbaa, mfcaa, vvx, vx2, c1, c1);
+ backwardChimera(mfaba, mfbba, mfcba, vvx, vx2);
+ backwardInverseChimeraWithK(mfaca, mfbca, mfcca, vvx, vx2, c3, c1o3);
+ backwardChimera(mfaab, mfbab, mfcab, vvx, vx2);
+ backwardChimera(mfabb, mfbbb, mfcbb, vvx, vx2);
+ backwardChimera(mfacb, mfbcb, mfccb, vvx, vx2);
+ backwardInverseChimeraWithK(mfaac, mfbac, mfcac, vvx, vx2, c3, c1o3);
+ backwardChimera(mfabc, mfbbc, mfcbc, vvx, vx2);
+ backwardInverseChimeraWithK(mfacc, mfbcc, mfccc, vvx, vx2, c9, c1o9);
+
+ ////////////////////////////////////////////////////////////////////////////////////
+ // Y - Dir
+ backwardInverseChimeraWithK(mfaaa, mfaba, mfaca, vvy, vy2, c6, c1o6);
+ backwardChimera(mfaab, mfabb, mfacb, vvy, vy2);
+ backwardInverseChimeraWithK(mfaac, mfabc, mfacc, vvy, vy2, c18, c1o18);
+ backwardInverseChimeraWithK(mfbaa, mfbba, mfbca, vvy, vy2, c3o2, c2o3);
+ backwardChimera(mfbab, mfbbb, mfbcb, vvy, vy2);
+ backwardInverseChimeraWithK(mfbac, mfbbc, mfbcc, vvy, vy2, c9o2, c2o9);
+ backwardInverseChimeraWithK(mfcaa, mfcba, mfcca, vvy, vy2, c6, c1o6);
+ backwardChimera(mfcab, mfcbb, mfccb, vvy, vy2);
+ backwardInverseChimeraWithK(mfcac, mfcbc, mfccc, vvy, vy2, c18, c1o18);
+
+ ////////////////////////////////////////////////////////////////////////////////////
+ // Z - Dir
+ backwardInverseChimeraWithK(mfaaa, mfaab, mfaac, vvz, vz2, c36, c1o36);
+ backwardInverseChimeraWithK(mfaba, mfabb, mfabc, vvz, vz2, c9, c1o9);
+ backwardInverseChimeraWithK(mfaca, mfacb, mfacc, vvz, vz2, c36, c1o36);
+ backwardInverseChimeraWithK(mfbaa, mfbab, mfbac, vvz, vz2, c9, c1o9);
+ backwardInverseChimeraWithK(mfbba, mfbbb, mfbbc, vvz, vz2, c9o4, c4o9);
+ backwardInverseChimeraWithK(mfbca, mfbcb, mfbcc, vvz, vz2, c9, c1o9);
+ backwardInverseChimeraWithK(mfcaa, mfcab, mfcac, vvz, vz2, c36, c1o36);
+ backwardInverseChimeraWithK(mfcba, mfcbb, mfcbc, vvz, vz2, c9, c1o9);
+ backwardInverseChimeraWithK(mfcca, mfccb, mfccc, vvz, vz2, c36, c1o36);
+ ////////////////////////////////////////////////////////////////////////////////////
+
+ //////////////////////////////////////////////////////////////////////////
+ //proof correctness
+ //////////////////////////////////////////////////////////////////////////
#ifdef PROOF_CORRECTNESS
- LBMReal drho_post = (mfaaa + mfaac + mfaca + mfcaa + mfacc + mfcac + mfccc + mfcca)
- + (mfaab + mfacb + mfcab + mfccb) + (mfaba + mfabc + mfcba + mfcbc) + (mfbaa + mfbac + mfbca + mfbcc)
- + (mfabb + mfcbb) + (mfbab + mfbcb) + (mfbba + mfbbc) + mfbbb;
- LBMReal dif = drho - drho_post;
+ LBMReal drho_post = (mfaaa + mfaac + mfaca + mfcaa + mfacc + mfcac + mfccc + mfcca)
+ + (mfaab + mfacb + mfcab + mfccb) + (mfaba + mfabc + mfcba + mfcbc) + (mfbaa + mfbac + mfbca + mfbcc)
+ + (mfabb + mfcbb) + (mfbab + mfbcb) + (mfbba + mfbbc) + mfbbb;
+ LBMReal dif = drho - drho_post;
#ifdef SINGLEPRECISION
- if (dif > 10.0E-7 || dif < -10.0E-7)
+ if (dif > 10.0E-7 || dif < -10.0E-7)
#else
- if (dif > 10.0E-15 || dif < -10.0E-15)
+ if (dif > 10.0E-15 || dif < -10.0E-15)
#endif
- {
- UB_THROW(UbException(UB_EXARGS, "rho=" + UbSystem::toString(drho) + ", rho_post=" + UbSystem::toString(drho_post)
- + " dif=" + UbSystem::toString(dif)
- + " rho is not correct for node " + UbSystem::toString(x1) + "," + UbSystem::toString(x2) + "," + UbSystem::toString(x3)
- + " in " + block.lock()->toString() + " step = " + UbSystem::toString(step)));
- }
+ {
+ UB_THROW(UbException(UB_EXARGS, "rho=" + UbSystem::toString(drho) + ", rho_post=" + UbSystem::toString(drho_post)
+ + " dif=" + UbSystem::toString(dif)
+ + " rho is not correct for node " + UbSystem::toString(x1) + "," + UbSystem::toString(x2) + "," + UbSystem::toString(x3)
+ + " in " + block.lock()->toString() + " step = " + UbSystem::toString(step)));
+ }
#endif
- ////////////////////////////////////////////////////////////////////////////////////
- //! - 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>
- //!
- (*this->localDistributions)(D3Q27System::ET_E, x1, x2, x3) = mfabb;
- (*this->localDistributions)(D3Q27System::ET_N, x1, x2, x3) = mfbab;
- (*this->localDistributions)(D3Q27System::ET_T, x1, x2, x3) = mfbba;
- (*this->localDistributions)(D3Q27System::ET_NE, x1, x2, x3) = mfaab;
- (*this->localDistributions)(D3Q27System::ET_NW, x1p, x2, x3) = mfcab;
- (*this->localDistributions)(D3Q27System::ET_TE, x1, x2, x3) = mfaba;
- (*this->localDistributions)(D3Q27System::ET_TW, x1p, x2, x3) = mfcba;
- (*this->localDistributions)(D3Q27System::ET_TN, x1, x2, x3) = mfbaa;
- (*this->localDistributions)(D3Q27System::ET_TS, x1, x2p, x3) = mfbca;
- (*this->localDistributions)(D3Q27System::ET_TNE, x1, x2, x3) = mfaaa;
- (*this->localDistributions)(D3Q27System::ET_TNW, x1p, x2, x3) = mfcaa;
- (*this->localDistributions)(D3Q27System::ET_TSE, x1, x2p, x3) = mfaca;
- (*this->localDistributions)(D3Q27System::ET_TSW, x1p, x2p, x3) = mfcca;
-
- (*this->nonLocalDistributions)(D3Q27System::ET_W, x1p, x2, x3) = mfcbb;
- (*this->nonLocalDistributions)(D3Q27System::ET_S, x1, x2p, x3) = mfbcb;
- (*this->nonLocalDistributions)(D3Q27System::ET_B, x1, x2, x3p) = mfbbc;
- (*this->nonLocalDistributions)(D3Q27System::ET_SW, x1p, x2p, x3) = mfccb;
- (*this->nonLocalDistributions)(D3Q27System::ET_SE, x1, x2p, x3) = mfacb;
- (*this->nonLocalDistributions)(D3Q27System::ET_BW, x1p, x2, x3p) = mfcbc;
- (*this->nonLocalDistributions)(D3Q27System::ET_BE, x1, x2, x3p) = mfabc;
- (*this->nonLocalDistributions)(D3Q27System::ET_BS, x1, x2p, x3p) = mfbcc;
- (*this->nonLocalDistributions)(D3Q27System::ET_BN, x1, x2, x3p) = mfbac;
- (*this->nonLocalDistributions)(D3Q27System::ET_BSW, x1p, x2p, x3p) = mfccc;
- (*this->nonLocalDistributions)(D3Q27System::ET_BSE, x1, x2p, x3p) = mfacc;
- (*this->nonLocalDistributions)(D3Q27System::ET_BNW, x1p, x2, x3p) = mfcac;
- (*this->nonLocalDistributions)(D3Q27System::ET_BNE, x1, x2, x3p) = mfaac;
-
- (*this->restDistributions)(x1, x2, x3) = mfbbb;
- //////////////////////////////////////////////////////////////////////////
-
+ ////////////////////////////////////////////////////////////////////////////////////
+ //! - 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>
+ //!
+ (*this->localDistributions)(D3Q27System::ET_E, x1, x2, x3) = mfabb;
+ (*this->localDistributions)(D3Q27System::ET_N, x1, x2, x3) = mfbab;
+ (*this->localDistributions)(D3Q27System::ET_T, x1, x2, x3) = mfbba;
+ (*this->localDistributions)(D3Q27System::ET_NE, x1, x2, x3) = mfaab;
+ (*this->localDistributions)(D3Q27System::ET_NW, x1p, x2, x3) = mfcab;
+ (*this->localDistributions)(D3Q27System::ET_TE, x1, x2, x3) = mfaba;
+ (*this->localDistributions)(D3Q27System::ET_TW, x1p, x2, x3) = mfcba;
+ (*this->localDistributions)(D3Q27System::ET_TN, x1, x2, x3) = mfbaa;
+ (*this->localDistributions)(D3Q27System::ET_TS, x1, x2p, x3) = mfbca;
+ (*this->localDistributions)(D3Q27System::ET_TNE, x1, x2, x3) = mfaaa;
+ (*this->localDistributions)(D3Q27System::ET_TNW, x1p, x2, x3) = mfcaa;
+ (*this->localDistributions)(D3Q27System::ET_TSE, x1, x2p, x3) = mfaca;
+ (*this->localDistributions)(D3Q27System::ET_TSW, x1p, x2p, x3) = mfcca;
+
+ (*this->nonLocalDistributions)(D3Q27System::ET_W, x1p, x2, x3) = mfcbb;
+ (*this->nonLocalDistributions)(D3Q27System::ET_S, x1, x2p, x3) = mfbcb;
+ (*this->nonLocalDistributions)(D3Q27System::ET_B, x1, x2, x3p) = mfbbc;
+ (*this->nonLocalDistributions)(D3Q27System::ET_SW, x1p, x2p, x3) = mfccb;
+ (*this->nonLocalDistributions)(D3Q27System::ET_SE, x1, x2p, x3) = mfacb;
+ (*this->nonLocalDistributions)(D3Q27System::ET_BW, x1p, x2, x3p) = mfcbc;
+ (*this->nonLocalDistributions)(D3Q27System::ET_BE, x1, x2, x3p) = mfabc;
+ (*this->nonLocalDistributions)(D3Q27System::ET_BS, x1, x2p, x3p) = mfbcc;
+ (*this->nonLocalDistributions)(D3Q27System::ET_BN, x1, x2, x3p) = mfbac;
+ (*this->nonLocalDistributions)(D3Q27System::ET_BSW, x1p, x2p, x3p) = mfccc;
+ (*this->nonLocalDistributions)(D3Q27System::ET_BSE, x1, x2p, x3p) = mfacc;
+ (*this->nonLocalDistributions)(D3Q27System::ET_BNW, x1p, x2, x3p) = mfcac;
+ (*this->nonLocalDistributions)(D3Q27System::ET_BNE, x1, x2, x3p) = mfaac;
+
+ (*this->restDistributions)(x1, x2, x3) = mfbbb;
+ //////////////////////////////////////////////////////////////////////////
+
+ }
}
- }
- }
- }
+ }
+ }
}
//////////////////////////////////////////////////////////////////////////
diff --git a/src/cpu/VirtualFluidsCore/LBM/CumulantK17LBMKernel.h b/src/cpu/VirtualFluidsCore/LBM/CumulantK17LBMKernel.h
index 4444213c046873bd3dca44525f85d1be69b12fa1..10cfd49264bb829eac1fc6b9bedeee3b6eace265 100644
--- a/src/cpu/VirtualFluidsCore/LBM/CumulantK17LBMKernel.h
+++ b/src/cpu/VirtualFluidsCore/LBM/CumulantK17LBMKernel.h
@@ -1,28 +1,28 @@
//=======================================================================================
-// ____ ____ __ ______ __________ __ __ __ __
-// \ \ | | | | | _ \ |___ ___| | | | | / \ | |
-// \ \ | | | | | |_) | | | | | | | / \ | |
-// \ \ | | | | | _ / | | | | | | / /\ \ | |
-// \ \ | | | | | | \ \ | | | \__/ | / ____ \ | |____
-// \ \ | | |__| |__| \__\ |__| \________/ /__/ \__\ |_______|
-// \ \ | | ________________________________________________________________
-// \ \ | | | ______________________________________________________________|
-// \ \| | | | __ __ __ __ ______ _______
-// \ | | |_____ | | | | | | | | | _ \ / _____)
-// \ | | _____| | | | | | | | | | | \ \ \_______
+// ____ ____ __ ______ __________ __ __ __ __
+// \ \ | | | | | _ \ |___ ___| | | | | / \ | |
+// \ \ | | | | | |_) | | | | | | | / \ | |
+// \ \ | | | | | _ / | | | | | | / /\ \ | |
+// \ \ | | | | | | \ \ | | | \__/ | / ____ \ | |____
+// \ \ | | |__| |__| \__\ |__| \________/ /__/ \__\ |_______|
+// \ \ | | ________________________________________________________________
+// \ \ | | | ______________________________________________________________|
+// \ \| | | | __ __ __ __ ______ _______
+// \ | | |_____ | | | | | | | | | _ \ / _____)
+// \ | | _____| | | | | | | | | | | \ \ \_______
// \ | | | | |_____ | \_/ | | | | |_/ / _____ |
-// \ _____| |__| |________| \_______/ |__| |______/ (_______/
+// \ _____| |__| |________| \_______/ |__| |______/ (_______/
//
-// This file is part of VirtualFluids. VirtualFluids is free software: you can
+// 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
+// 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
+//
+// 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/>.
//
@@ -41,41 +41,41 @@
#include "basics/container/CbArray4D.h"
#include "basics/container/CbArray3D.h"
-//! \brief Compressible cumulant LBM kernel.
+//! \brief Compressible cumulant LBM kernel.
//! \details LBM implementation that use Cascaded Cumulant Lattice Boltzmann method for D3Q27 model
//!
//! The model is publisched in
//! <a href="http://dx.doi.org/10.1016/j.jcp.2017.05.040"><b>[ Geier et al., (2017), 10.1016/j.jcp.2017.05.040]</b></a>,
-//! <a href="http://dx.doi.org/10.1016/j.jcp.2017.07.004"><b>[ Geier et al., (2017), 10.1016/j.jcp.2017.07.004]</b></a>
-//!
+//! <a href="http://dx.doi.org/10.1016/j.jcp.2017.07.004"><b>[ Geier et al., (2017), 10.1016/j.jcp.2017.07.004]</b></a>
+//!
class CumulantK17LBMKernel : public LBMKernel
{
public:
- CumulantK17LBMKernel();
- ~CumulantK17LBMKernel() override;
- void calculate(int step) override;
- SPtr<LBMKernel> clone() override;
- double getCalculationTime() override { return .0; }
+ CumulantK17LBMKernel();
+ ~CumulantK17LBMKernel() = default;
+ void calculate(int step) override;
+ SPtr<LBMKernel> clone() override;
+ double getCalculationTime() override { return .0; }
protected:
- inline void forwardInverseChimeraWithK(LBMReal& mfa, LBMReal& mfb, LBMReal& mfc, LBMReal vv, LBMReal v2, LBMReal Kinverse, LBMReal K);
- inline void backwardInverseChimeraWithK(LBMReal& mfa, LBMReal& mfb, LBMReal& mfc, LBMReal vv, LBMReal v2, LBMReal Kinverse, LBMReal K);
- inline void forwardChimera(LBMReal& mfa, LBMReal& mfb, LBMReal& mfc, LBMReal vv, LBMReal v2);
- inline void backwardChimera(LBMReal& mfa, LBMReal& mfb, LBMReal& mfc, LBMReal vv, LBMReal v2);
+ inline void forwardInverseChimeraWithK(LBMReal& mfa, LBMReal& mfb, LBMReal& mfc, LBMReal vv, LBMReal v2, LBMReal Kinverse, LBMReal K);
+ inline void backwardInverseChimeraWithK(LBMReal& mfa, LBMReal& mfb, LBMReal& mfc, LBMReal vv, LBMReal v2, LBMReal Kinverse, LBMReal K);
+ inline void forwardChimera(LBMReal& mfa, LBMReal& mfb, LBMReal& mfc, LBMReal vv, LBMReal v2);
+ inline void backwardChimera(LBMReal& mfa, LBMReal& mfb, LBMReal& mfc, LBMReal vv, LBMReal v2);
- virtual void initDataSet();
- LBMReal f[D3Q27System::ENDF + 1];
+ virtual void initDataSet();
+ LBMReal f[D3Q27System::ENDF + 1];
- CbArray4D<LBMReal, IndexerX4X3X2X1>::CbArray4DPtr localDistributions;
- CbArray4D<LBMReal, IndexerX4X3X2X1>::CbArray4DPtr nonLocalDistributions;
- CbArray3D<LBMReal, IndexerX3X2X1>::CbArray3DPtr restDistributions;
+ CbArray4D<LBMReal, IndexerX4X3X2X1>::CbArray4DPtr localDistributions;
+ CbArray4D<LBMReal, IndexerX4X3X2X1>::CbArray4DPtr nonLocalDistributions;
+ CbArray3D<LBMReal, IndexerX3X2X1>::CbArray3DPtr restDistributions;
- mu::value_type muX1, muX2, muX3;
- mu::value_type muDeltaT;
- mu::value_type muNu;
- LBMReal forcingX1;
- LBMReal forcingX2;
- LBMReal forcingX3;
+ mu::value_type muX1, muX2, muX3;
+ mu::value_type muDeltaT;
+ mu::value_type muNu;
+ LBMReal forcingX1;
+ LBMReal forcingX2;
+ LBMReal forcingX3;
};
////////////////////////////////////////////////////////////////////////////////
@@ -86,30 +86,30 @@ protected:
////////////////////////////////////////////////////////////////////////////////
inline void CumulantK17LBMKernel::forwardInverseChimeraWithK(LBMReal& mfa, LBMReal& mfb, LBMReal& mfc, LBMReal vv, LBMReal v2, LBMReal Kinverse, LBMReal K)
{
- using namespace UbMath;
- LBMReal m2 = mfa + mfc;
- LBMReal m1 = mfc - mfa;
- LBMReal m0 = m2 + mfb;
- mfa = m0;
- m0 *= Kinverse;
- m0 += c1;
- mfb = (m1 * Kinverse - m0 * vv) * K;
- mfc = ((m2 - c2 * m1 * vv) * Kinverse + v2 * m0) * K;
+ using namespace UbMath;
+ LBMReal m2 = mfa + mfc;
+ LBMReal m1 = mfc - mfa;
+ LBMReal m0 = m2 + mfb;
+ mfa = m0;
+ m0 *= Kinverse;
+ m0 += c1;
+ mfb = (m1 * Kinverse - m0 * vv) * K;
+ mfc = ((m2 - c2 * m1 * vv) * Kinverse + v2 * m0) * K;
}
////////////////////////////////////////////////////////////////////////////////
-//! \brief backward chimera transformation \ref backwardInverseChimeraWithK
+//! \brief backward chimera transformation \ref backwardInverseChimeraWithK
//! Transformation from central moments to distributions according to Eq. (57)-(65) 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>
-//! Modified for lower round-off errors.
+//! ] Modified for lower round-off errors.
////////////////////////////////////////////////////////////////////////////////
inline void CumulantK17LBMKernel::backwardInverseChimeraWithK(LBMReal& mfa, LBMReal& mfb, LBMReal& mfc, LBMReal vv, LBMReal v2, LBMReal Kinverse, LBMReal K)
{
- using namespace UbMath;
- LBMReal m0 = (((mfc - mfb) * c1o2 + mfb * vv) * Kinverse + (mfa * Kinverse + c1) * (v2 - vv) * c1o2) * K;
- LBMReal m1 = (((mfa - mfc) - c2 * mfb * vv) * Kinverse + (mfa * Kinverse + c1) * (-v2)) * K;
- mfc = (((mfc + mfb) * c1o2 + mfb * vv) * Kinverse + (mfa * Kinverse + c1) * (v2 + vv) * c1o2) * K;
- mfa = m0;
- mfb = m1;
+ using namespace UbMath;
+ LBMReal m0 = (((mfc - mfb) * c1o2 + mfb * vv) * Kinverse + (mfa * Kinverse + c1) * (v2 - vv) * c1o2) * K;
+ LBMReal m1 = (((mfa - mfc) - c2 * mfb * vv) * Kinverse + (mfa * Kinverse + c1) * (-v2)) * K;
+ mfc = (((mfc + mfb) * c1o2 + mfb * vv) * Kinverse + (mfa * Kinverse + c1) * (v2 + vv) * c1o2) * K;
+ mfa = m0;
+ mfb = m1;
}
////////////////////////////////////////////////////////////////////////////////
//! \brief forward chimera transformation \ref forwardChimera
@@ -120,12 +120,12 @@ inline void CumulantK17LBMKernel::backwardInverseChimeraWithK(LBMReal& mfa, LBMR
////////////////////////////////////////////////////////////////////////////////
inline void CumulantK17LBMKernel::forwardChimera(LBMReal& mfa, LBMReal& mfb, LBMReal& mfc, LBMReal vv, LBMReal v2)
{
- using namespace UbMath;
- LBMReal m1 = (mfa + mfc) + mfb;
- LBMReal m2 = mfc - mfa;
- mfc = (mfc + mfa) + (v2 * m1 - c2 * vv * m2);
- mfb = m2 - vv * m1;
- mfa = m1;
+ using namespace UbMath;
+ LBMReal m1 = (mfa + mfc) + mfb;
+ LBMReal m2 = mfc - mfa;
+ mfc = (mfc + mfa) + (v2 * m1 - c2 * vv * m2);
+ mfb = m2 - vv * m1;
+ mfa = m1;
}
////////////////////////////////////////////////////////////////////////////////
//! \brief backward chimera transformation \ref backwardChimera
@@ -136,12 +136,12 @@ inline void CumulantK17LBMKernel::forwardChimera(LBMReal& mfa, LBMReal& mfb, LBM
////////////////////////////////////////////////////////////////////////////////
inline void CumulantK17LBMKernel::backwardChimera(LBMReal& mfa, LBMReal& mfb, LBMReal& mfc, LBMReal vv, LBMReal v2)
{
- using namespace UbMath;
- LBMReal ma = (mfc + mfa * (v2 - vv)) * c1o2 + mfb * (vv - c1o2);
- LBMReal mb = ((mfa - mfc) - mfa * v2) - c2 * mfb * vv;
- mfc = (mfc + mfa * (v2 + vv)) * c1o2 + mfb * (vv + c1o2);
- mfb = mb;
- mfa = ma;
+ using namespace UbMath;
+ LBMReal ma = (mfc + mfa * (v2 - vv)) * c1o2 + mfb * (vv - c1o2);
+ LBMReal mb = ((mfa - mfc) - mfa * v2) - c2 * mfb * vv;
+ mfc = (mfc + mfa * (v2 + vv)) * c1o2 + mfb * (vv + c1o2);
+ mfb = mb;
+ mfa = ma;
}
#endif // CumulantK17LBMKernel_h__
\ No newline at end of file
diff --git a/src/cpu/VirtualFluidsCore/LBM/D3Q27System.h b/src/cpu/VirtualFluidsCore/LBM/D3Q27System.h
index 7cd494823ca9d5335a3029609f5c3a83fd60b523..7b3e1e4ccbab55ba088bc8d6b3c4d62f56a6cc03 100644
--- a/src/cpu/VirtualFluidsCore/LBM/D3Q27System.h
+++ b/src/cpu/VirtualFluidsCore/LBM/D3Q27System.h
@@ -38,21 +38,13 @@
#include <string>
#include <iostream>
-#ifdef RCF_USE_SF_SERIALIZATION
- #include <SF/Serializer.hpp>
-
- #if CAB_RCF <= 903
- #include <SF/SerializeEnum.hpp>
- #endif
-#endif //RCF_USE_SF_SERIALIZATION
-
#include <basics/utilities/UbException.h>
#include <basics/utilities/UbTuple.h>
#include <basics/utilities/UbMath.h>
#include <basics/utilities/UbSystem.h>
//#include "Patch3DSystem.h"
#include "LBMSystem.h"
-
+
/*=========================================================================*/
/* D3Q27System */
/* */
@@ -61,1052 +53,1052 @@ class for global system-functions
<BR><BR>
@author <A HREF="mailto:kucher@irmb.tu-bs.de">K. Kucher</A>
@version 1.0 - 22.10.09
-*/
+*/
/*
usage: ...
*/
- namespace D3Q27System
- {
- //enum COLLISIONMODEL { UNDEFINED, INCOMPLBGKMODEL, COMPLBGKMODEL, COMPLBGKWTMODEL, INCOMPLBGKLESMODEL, INCOMPLBGKNONNEWTONIANMODEL
- // , INCOMPGLBEJTMODEL, COMPGLBEJTMODEL, COMPGLBEJTWTMODEL, INCOMPGLBEJTLESMODEL, INCOMPGLBEJTWALEMODEL
- // , CASCADEDMODEL};
- //
- // #if defined(RCF_USE_SF_SERIALIZATION) && (CAB_RCF <= 903)
- // SF_SERIALIZE_ENUM(COLLISIONMODEL) //muss im namespace stehen, sonst funzt es nicht!
- // #endif
+namespace D3Q27System
+{
+ //enum COLLISIONMODEL { UNDEFINED, INCOMPLBGKMODEL, COMPLBGKMODEL, COMPLBGKWTMODEL, INCOMPLBGKLESMODEL, INCOMPLBGKNONNEWTONIANMODEL
+ // , INCOMPGLBEJTMODEL, COMPGLBEJTMODEL, COMPGLBEJTWTMODEL, INCOMPGLBEJTLESMODEL, INCOMPGLBEJTWALEMODEL
+ // , CASCADEDMODEL};
+ //
+ // #if defined(RCF_USE_SF_SERIALIZATION) && (CAB_RCF <= 903)
+ // SF_SERIALIZE_ENUM(COLLISIONMODEL) //muss im namespace stehen, sonst funzt es nicht!
+ // #endif
- ///*=====================================================================*/
- //std::string toString(const COLLISIONMODEL& model);
- ///*=====================================================================*/
- //COLLISIONMODEL getCollModelByString(const std::string& str);
- ///*=====================================================================*/
+ ///*=====================================================================*/
+ //std::string toString(const COLLISIONMODEL& model);
+ ///*=====================================================================*/
+ //COLLISIONMODEL getCollModelByString(const std::string& str);
+ ///*=====================================================================*/
- ///*=====================================================================*/
- //static bool isCompModel(const COLLISIONMODEL& model)
- //{
- // switch(model)
- // {
- // case COMPLBGKMODEL : return true;
- // case COMPLBGKWTMODEL : return true;
- // case COMPGLBEJTWTMODEL : return true;
- // case COMPGLBEJTMODEL : return true;
- // case CASCADEDMODEL : return true;
- //
- // case INCOMPLBGKMODEL : return false;
- // case INCOMPGLBEJTMODEL : return false;
- // case INCOMPLBGKLESMODEL : return false;
- // case INCOMPGLBEJTLESMODEL : return false;
- // case INCOMPGLBEJTWALEMODEL : return false;
- // case INCOMPLBGKNONNEWTONIANMODEL : return false;
+ ///*=====================================================================*/
+ //static bool isCompModel(const COLLISIONMODEL& model)
+ //{
+ // switch(model)
+ // {
+ // case COMPLBGKMODEL : return true;
+ // case COMPLBGKWTMODEL : return true;
+ // case COMPGLBEJTWTMODEL : return true;
+ // case COMPGLBEJTMODEL : return true;
+ // case CASCADEDMODEL : return true;
+ //
+ // case INCOMPLBGKMODEL : return false;
+ // case INCOMPGLBEJTMODEL : return false;
+ // case INCOMPLBGKLESMODEL : return false;
+ // case INCOMPGLBEJTLESMODEL : return false;
+ // case INCOMPGLBEJTWALEMODEL : return false;
+ // case INCOMPLBGKNONNEWTONIANMODEL : return false;
- // default: throw UbException(UB_EXARGS,"unknown model");
- // }
- //}
- ///*=====================================================================*/
- //static bool isGLBEModel(const COLLISIONMODEL& model)
- //{
- // switch(model)
- // {
- // case COMPGLBEJTWTMODEL : return true;
- // case COMPGLBEJTMODEL : return true;
- // case INCOMPGLBEJTMODEL : return true;
- // case INCOMPGLBEJTLESMODEL : return true;
- // case INCOMPGLBEJTWALEMODEL : return false;
+ // default: throw UbException(UB_EXARGS,"unknown model");
+ // }
+ //}
+ ///*=====================================================================*/
+ //static bool isGLBEModel(const COLLISIONMODEL& model)
+ //{
+ // switch(model)
+ // {
+ // case COMPGLBEJTWTMODEL : return true;
+ // case COMPGLBEJTMODEL : return true;
+ // case INCOMPGLBEJTMODEL : return true;
+ // case INCOMPGLBEJTLESMODEL : return true;
+ // case INCOMPGLBEJTWALEMODEL : return false;
- // case COMPLBGKMODEL : return false;
- // case COMPLBGKWTMODEL : return false;
- // case INCOMPLBGKMODEL : return false;
- // case INCOMPLBGKLESMODEL : return false;
- // case INCOMPLBGKNONNEWTONIANMODEL : return false;
+ // case COMPLBGKMODEL : return false;
+ // case COMPLBGKWTMODEL : return false;
+ // case INCOMPLBGKMODEL : return false;
+ // case INCOMPLBGKLESMODEL : return false;
+ // case INCOMPLBGKNONNEWTONIANMODEL : return false;
- // default: throw UbException(UB_EXARGS,"unknown model");
- // }
- //}
- //static bool isLESModel(const COLLISIONMODEL& model)
- //{
- // switch(model)
- // {
- // case INCOMPGLBEJTLESMODEL : return true;
- // case INCOMPLBGKLESMODEL : return true;
- // case INCOMPGLBEJTWALEMODEL : return true;
- //
- // case COMPGLBEJTWTMODEL : return false;
- // case COMPGLBEJTMODEL : return false;
- // case INCOMPGLBEJTMODEL : return false;
- // case COMPLBGKMODEL : return false;
- // case COMPLBGKWTMODEL : return false;
- // case INCOMPLBGKMODEL : return false;
- // case INCOMPLBGKNONNEWTONIANMODEL : return false;
+ // default: throw UbException(UB_EXARGS,"unknown model");
+ // }
+ //}
+ //static bool isLESModel(const COLLISIONMODEL& model)
+ //{
+ // switch(model)
+ // {
+ // case INCOMPGLBEJTLESMODEL : return true;
+ // case INCOMPLBGKLESMODEL : return true;
+ // case INCOMPGLBEJTWALEMODEL : return true;
+ //
+ // case COMPGLBEJTWTMODEL : return false;
+ // case COMPGLBEJTMODEL : return false;
+ // case INCOMPGLBEJTMODEL : return false;
+ // case COMPLBGKMODEL : return false;
+ // case COMPLBGKWTMODEL : return false;
+ // case INCOMPLBGKMODEL : return false;
+ // case INCOMPLBGKNONNEWTONIANMODEL : return false;
- // default: throw UbException(UB_EXARGS,"unknown model");
- // }
- //}
+ // default: throw UbException(UB_EXARGS,"unknown model");
+ // }
+ //}
- //////////////////////////////////////////////////////////////////////////
- //////////////////////////////////////////////////////////////////////////
- //DIRECTION STUFF
- static const int FSTARTDIR = 0;
- static const int FENDDIR = 25; //D3Q27
+ //////////////////////////////////////////////////////////////////////////
+ //////////////////////////////////////////////////////////////////////////
+ //DIRECTION STUFF
+ static const int FSTARTDIR = 0;
+ static const int FENDDIR = 25; //D3Q27
- //static const int FSTARTDIR = 1;
- //static const int FENDDIR = 26; //D3Q27
+ //static const int FSTARTDIR = 1;
+ //static const int FENDDIR = 26; //D3Q27
- static const int STARTF = 0;
- static const int ENDF = 26; //D3Q27
+ static const int STARTF = 0;
+ static const int ENDF = 26; //D3Q27
- //extern const int EX1[ENDF+1];
- //extern const int EX2[ENDF+1];
- //extern const int EX3[ENDF+1];
+ //extern const int EX1[ENDF+1];
+ //extern const int EX2[ENDF+1];
+ //extern const int EX3[ENDF+1];
- static const int STARTDIR = 0;
- static const int ENDDIR = 26; //alle geometrischen richtungen
+ static const int STARTDIR = 0;
+ static const int ENDDIR = 26; //alle geometrischen richtungen
- extern const int DX1[ENDDIR + 1];
- extern const int DX2[ENDDIR + 1];
- extern const int DX3[ENDDIR + 1];
- extern const double WEIGTH[ENDDIR + 1];
+ extern const int DX1[ENDDIR + 1];
+ extern const int DX2[ENDDIR + 1];
+ extern const int DX3[ENDDIR + 1];
+ extern const double WEIGTH[ENDDIR + 1];
- //static const int ZERO /*f0 */ = 0;
- //static const int E /*f1 */ = 1;
- //static const int W /*f2 */ = 2;
- //static const int N /*f3 */ = 3;
- //static const int S /*f4 */ = 4;
- //static const int T /*f5 */ = 5;
- //static const int B /*f6 */ = 6;
- //static const int NE /*f7 */ = 7;
- //static const int SW /*f8 */ = 8;
- //static const int SE /*f9 */ = 9;
- //static const int NW /*f10*/ = 10;
- //static const int TE /*f11*/ = 11;
- //static const int BW /*f12*/ = 12;
- //static const int BE /*f13*/ = 13;
- //static const int TW /*f14*/ = 14;
- //static const int TN /*f15*/ = 15;
- //static const int BS /*f16*/ = 16;
- //static const int BN /*f17*/ = 17;
- //static const int TS /*f18*/ = 18;
- //static const int TNE = 19;
- //static const int TNW = 20;
- //static const int TSE = 21;
- //static const int TSW = 22;
- //static const int BNE = 23;
- //static const int BNW = 24;
- //static const int BSE = 25;
- //static const int BSW = 26;
+ //static const int ZERO /*f0 */ = 0;
+ //static const int E /*f1 */ = 1;
+ //static const int W /*f2 */ = 2;
+ //static const int N /*f3 */ = 3;
+ //static const int S /*f4 */ = 4;
+ //static const int T /*f5 */ = 5;
+ //static const int B /*f6 */ = 6;
+ //static const int NE /*f7 */ = 7;
+ //static const int SW /*f8 */ = 8;
+ //static const int SE /*f9 */ = 9;
+ //static const int NW /*f10*/ = 10;
+ //static const int TE /*f11*/ = 11;
+ //static const int BW /*f12*/ = 12;
+ //static const int BE /*f13*/ = 13;
+ //static const int TW /*f14*/ = 14;
+ //static const int TN /*f15*/ = 15;
+ //static const int BS /*f16*/ = 16;
+ //static const int BN /*f17*/ = 17;
+ //static const int TS /*f18*/ = 18;
+ //static const int TNE = 19;
+ //static const int TNW = 20;
+ //static const int TSE = 21;
+ //static const int TSW = 22;
+ //static const int BNE = 23;
+ //static const int BNW = 24;
+ //static const int BSE = 25;
+ //static const int BSW = 26;
- static const int E /*f1 */ = 0;
- static const int W /*f2 */ = 1;
- static const int N /*f3 */ = 2;
- static const int S /*f4 */ = 3;
- static const int T /*f5 */ = 4;
- static const int B /*f6 */ = 5;
- static const int NE /*f7 */ = 6;
- static const int SW /*f8 */ = 7;
- static const int SE /*f9 */ = 8;
- static const int NW /*f10*/ = 9;
- static const int TE /*f11*/ = 10;
- static const int BW /*f12*/ = 11;
- static const int BE /*f13*/ = 12;
- static const int TW /*f14*/ = 13;
- static const int TN /*f15*/ = 14;
- static const int BS /*f16*/ = 15;
- static const int BN /*f17*/ = 16;
- static const int TS /*f18*/ = 17;
- static const int TNE = 18;
- static const int TNW = 19;
- static const int TSE = 20;
- static const int TSW = 21;
- static const int BNE = 22;
- static const int BNW = 23;
- static const int BSE = 24;
- static const int BSW = 25;
- static const int ZERO /*f0 */ = 26;
+ static const int E /*f1 */ = 0;
+ static const int W /*f2 */ = 1;
+ static const int N /*f3 */ = 2;
+ static const int S /*f4 */ = 3;
+ static const int T /*f5 */ = 4;
+ static const int B /*f6 */ = 5;
+ static const int NE /*f7 */ = 6;
+ static const int SW /*f8 */ = 7;
+ static const int SE /*f9 */ = 8;
+ static const int NW /*f10*/ = 9;
+ static const int TE /*f11*/ = 10;
+ static const int BW /*f12*/ = 11;
+ static const int BE /*f13*/ = 12;
+ static const int TW /*f14*/ = 13;
+ static const int TN /*f15*/ = 14;
+ static const int BS /*f16*/ = 15;
+ static const int BN /*f17*/ = 16;
+ static const int TS /*f18*/ = 17;
+ static const int TNE = 18;
+ static const int TNW = 19;
+ static const int TSE = 20;
+ static const int TSW = 21;
+ static const int BNE = 22;
+ static const int BNW = 23;
+ static const int BSE = 24;
+ static const int BSW = 25;
+ static const int ZERO /*f0 */ = 26;
- static const int INV_E = W;
- static const int INV_W = E;
- static const int INV_N = S;
- static const int INV_S = N;
- static const int INV_T = B;
- static const int INV_B = T;
- static const int INV_NE = SW;
- static const int INV_SW = NE;
- static const int INV_SE = NW;
- static const int INV_NW = SE;
- static const int INV_TE = BW;
- static const int INV_BW = TE;
- static const int INV_BE = TW;
- static const int INV_TW = BE;
- static const int INV_TN = BS;
- static const int INV_BS = TN;
- static const int INV_BN = TS;
- static const int INV_TS = BN;
- static const int INV_TNE = BSW;
- static const int INV_TNW = BSE;
- static const int INV_TSE = BNW;
- static const int INV_TSW = BNE;
- static const int INV_BNE = TSW;
- static const int INV_BNW = TSE;
- static const int INV_BSE = TNW;
- static const int INV_BSW = TNE;
+ static const int INV_E = W;
+ static const int INV_W = E;
+ static const int INV_N = S;
+ static const int INV_S = N;
+ static const int INV_T = B;
+ static const int INV_B = T;
+ static const int INV_NE = SW;
+ static const int INV_SW = NE;
+ static const int INV_SE = NW;
+ static const int INV_NW = SE;
+ static const int INV_TE = BW;
+ static const int INV_BW = TE;
+ static const int INV_BE = TW;
+ static const int INV_TW = BE;
+ static const int INV_TN = BS;
+ static const int INV_BS = TN;
+ static const int INV_BN = TS;
+ static const int INV_TS = BN;
+ static const int INV_TNE = BSW;
+ static const int INV_TNW = BSE;
+ static const int INV_TSE = BNW;
+ static const int INV_TSW = BNE;
+ static const int INV_BNE = TSW;
+ static const int INV_BNW = TSE;
+ static const int INV_BSE = TNW;
+ static const int INV_BSW = TNE;
- extern const int INVDIR[ENDDIR + 1];
+ extern const int INVDIR[ENDDIR + 1];
- static const int ET_E = 0;
- static const int ET_W = 0;
- static const int ET_N = 1;
- static const int ET_S = 1;
- static const int ET_T = 2;
- static const int ET_B = 2;
- static const int ET_NE = 3;
- static const int ET_SW = 3;
- static const int ET_SE = 4;
- static const int ET_NW = 4;
- static const int ET_TE = 5;
- static const int ET_BW = 5;
- static const int ET_BE = 6;
- static const int ET_TW = 6;
- static const int ET_TN = 7;
- static const int ET_BS = 7;
- static const int ET_BN = 8;
- static const int ET_TS = 8;
- static const int ET_TNE = 9;
- static const int ET_BSW = 9;
- static const int ET_TNW = 10;
- static const int ET_BSE = 10;
- static const int ET_TSE = 11;
- static const int ET_BNW = 11;
- static const int ET_TSW = 12;
- static const int ET_BNE = 12;
+ static const int ET_E = 0;
+ static const int ET_W = 0;
+ static const int ET_N = 1;
+ static const int ET_S = 1;
+ static const int ET_T = 2;
+ static const int ET_B = 2;
+ static const int ET_NE = 3;
+ static const int ET_SW = 3;
+ static const int ET_SE = 4;
+ static const int ET_NW = 4;
+ static const int ET_TE = 5;
+ static const int ET_BW = 5;
+ static const int ET_BE = 6;
+ static const int ET_TW = 6;
+ static const int ET_TN = 7;
+ static const int ET_BS = 7;
+ static const int ET_BN = 8;
+ static const int ET_TS = 8;
+ static const int ET_TNE = 9;
+ static const int ET_BSW = 9;
+ static const int ET_TNW = 10;
+ static const int ET_BSE = 10;
+ static const int ET_TSE = 11;
+ static const int ET_BNW = 11;
+ static const int ET_TSW = 12;
+ static const int ET_BNE = 12;
- //////////////////////////////////////////////////////////////////////////
- //MACROSCOPIC VALUES
- /*=====================================================================*/
- static LBMReal getDensity(const LBMReal* const& f/*[27]*/)
- {
- return ((f[TNE] + f[BSW]) + (f[TSE] + f[BNW])) + ((f[BSE] + f[TNW]) + (f[TSW] + f[BNE]))
- + (((f[NE] + f[SW]) + (f[SE] + f[NW])) + ((f[TE] + f[BW]) + (f[BE] + f[TW]))
- + ((f[BN] + f[TS]) + (f[TN] + f[BS]))) + ((f[E] + f[W]) + (f[N] + f[S])
- + (f[T] + f[B])) + f[ZERO];
- }
- /*=====================================================================*/
- //ACHTUNG: gilt nicht fuer alle modelle -> praedikat verwenden anstelle static! toDo
- static LBMReal getPressure(const LBMReal* const& f/*[27]*/)
- {
- return REAL_CAST(UbMath::c1o3) * getDensity(f);
- }
- /*=====================================================================*/
- static LBMReal getIncompVelocityX1(const LBMReal* const& f/*[27]*/)
- {
- return ((((f[TNE] - f[BSW]) + (f[TSE] - f[BNW])) + ((f[BSE] - f[TNW]) + (f[BNE] - f[TSW]))) +
- (((f[BE] - f[TW]) + (f[TE] - f[BW])) + ((f[SE] - f[NW]) + (f[NE] - f[SW]))) +
- (f[E] - f[W]));
- }
- /*=====================================================================*/
- static LBMReal getIncompVelocityX2(const LBMReal* const& f/*[27]*/)
- {
- return ((((f[TNE] - f[BSW]) + (f[BNW] - f[TSE])) + ((f[TNW] - f[BSE]) + (f[BNE] - f[TSW]))) +
- (((f[BN] - f[TS]) + (f[TN] - f[BS])) + ((f[NW] - f[SE]) + (f[NE] - f[SW]))) +
- (f[N] - f[S]));
- }
- /*=====================================================================*/
- static LBMReal getIncompVelocityX3(const LBMReal* const& f/*[27]*/)
- {
- return ((((f[TNE] - f[BSW]) + (f[TSE] - f[BNW])) + ((f[TNW] - f[BSE]) + (f[TSW] - f[BNE]))) +
- (((f[TS] - f[BN]) + (f[TN] - f[BS])) + ((f[TW] - f[BE]) + (f[TE] - f[BW]))) +
- (f[T] - f[B]));
- }
- /*=====================================================================*/
- static void calcDensity(const LBMReal* const& f/*[27]*/, LBMReal& rho)
- {
- rho = ((f[TNE] + f[BSW]) + (f[TSE] + f[BNW])) + ((f[BSE] + f[TNW]) + (f[TSW] + f[BNE]))
- + (((f[NE] + f[SW]) + (f[SE] + f[NW])) + ((f[TE] + f[BW]) + (f[BE] + f[TW]))
- + ((f[BN] + f[TS]) + (f[TN] + f[BS]))) + ((f[E] + f[W]) + (f[N] + f[S])
- + (f[T] + f[B])) + f[ZERO];
+ //////////////////////////////////////////////////////////////////////////
+ //MACROSCOPIC VALUES
+ /*=====================================================================*/
+ static LBMReal getDensity(const LBMReal* const& f/*[27]*/)
+ {
+ return ((f[TNE] + f[BSW]) + (f[TSE] + f[BNW])) + ((f[BSE] + f[TNW]) + (f[TSW] + f[BNE]))
+ + (((f[NE] + f[SW]) + (f[SE] + f[NW])) + ((f[TE] + f[BW]) + (f[BE] + f[TW]))
+ + ((f[BN] + f[TS]) + (f[TN] + f[BS]))) + ((f[E] + f[W]) + (f[N] + f[S])
+ + (f[T] + f[B])) + f[ZERO];
+ }
+ /*=====================================================================*/
+ //ACHTUNG: gilt nicht fuer alle modelle -> praedikat verwenden anstelle static! toDo
+ static LBMReal getPressure(const LBMReal* const& f/*[27]*/)
+ {
+ return REAL_CAST(UbMath::c1o3) * getDensity(f);
+ }
+ /*=====================================================================*/
+ static LBMReal getIncompVelocityX1(const LBMReal* const& f/*[27]*/)
+ {
+ return ((((f[TNE] - f[BSW]) + (f[TSE] - f[BNW])) + ((f[BSE] - f[TNW]) + (f[BNE] - f[TSW]))) +
+ (((f[BE] - f[TW]) + (f[TE] - f[BW])) + ((f[SE] - f[NW]) + (f[NE] - f[SW]))) +
+ (f[E] - f[W]));
+ }
+ /*=====================================================================*/
+ static LBMReal getIncompVelocityX2(const LBMReal* const& f/*[27]*/)
+ {
+ return ((((f[TNE] - f[BSW]) + (f[BNW] - f[TSE])) + ((f[TNW] - f[BSE]) + (f[BNE] - f[TSW]))) +
+ (((f[BN] - f[TS]) + (f[TN] - f[BS])) + ((f[NW] - f[SE]) + (f[NE] - f[SW]))) +
+ (f[N] - f[S]));
+ }
+ /*=====================================================================*/
+ static LBMReal getIncompVelocityX3(const LBMReal* const& f/*[27]*/)
+ {
+ return ((((f[TNE] - f[BSW]) + (f[TSE] - f[BNW])) + ((f[TNW] - f[BSE]) + (f[TSW] - f[BNE]))) +
+ (((f[TS] - f[BN]) + (f[TN] - f[BS])) + ((f[TW] - f[BE]) + (f[TE] - f[BW]))) +
+ (f[T] - f[B]));
+ }
+ /*=====================================================================*/
+ static void calcDensity(const LBMReal* const& f/*[27]*/, LBMReal& rho)
+ {
+ rho = ((f[TNE] + f[BSW]) + (f[TSE] + f[BNW])) + ((f[BSE] + f[TNW]) + (f[TSW] + f[BNE]))
+ + (((f[NE] + f[SW]) + (f[SE] + f[NW])) + ((f[TE] + f[BW]) + (f[BE] + f[TW]))
+ + ((f[BN] + f[TS]) + (f[TN] + f[BS]))) + ((f[E] + f[W]) + (f[N] + f[S])
+ + (f[T] + f[B])) + f[ZERO];
- }
- /*=====================================================================*/
- static void calcIncompVelocityX1(const LBMReal* const& f/*[27]*/, LBMReal& vx1)
- {
- vx1 = ((((f[TNE] - f[BSW]) + (f[TSE] - f[BNW])) + ((f[BSE] - f[TNW]) + (f[BNE] - f[TSW]))) +
- (((f[BE] - f[TW]) + (f[TE] - f[BW])) + ((f[SE] - f[NW]) + (f[NE] - f[SW]))) +
- (f[E] - f[W]));
- }
- /*=====================================================================*/
- static void calcIncompVelocityX2(const LBMReal* const& f/*[27]*/, LBMReal& vx2)
- {
- vx2 = ((((f[TNE] - f[BSW]) + (f[BNW] - f[TSE])) + ((f[TNW] - f[BSE]) + (f[BNE] - f[TSW]))) +
- (((f[BN] - f[TS]) + (f[TN] - f[BS])) + ((f[NW] - f[SE]) + (f[NE] - f[SW]))) +
- (f[N] - f[S]));
- }
- /*=====================================================================*/
- static void calcIncompVelocityX3(const LBMReal* const& f/*[27]*/, LBMReal& vx3)
- {
- vx3 = ((((f[TNE] - f[BSW]) + (f[TSE] - f[BNW])) + ((f[TNW] - f[BSE]) + (f[TSW] - f[BNE]))) +
- (((f[TS] - f[BN]) + (f[TN] - f[BS])) + ((f[TW] - f[BE]) + (f[TE] - f[BW]))) +
- (f[T] - f[B]));
- }
- /*=====================================================================*/
- static LBMReal getCompVelocityX1(const LBMReal* const& f/*[27]*/)
- {
- return ((((f[TNE] - f[BSW]) + (f[TSE] - f[BNW])) + ((f[BSE] - f[TNW]) + (f[BNE] - f[TSW]))) +
- (((f[BE] - f[TW]) + (f[TE] - f[BW])) + ((f[SE] - f[NW]) + (f[NE] - f[SW]))) +
- (f[E] - f[W])) / getDensity(f);
- }
- /*=====================================================================*/
- static LBMReal getCompVelocityX2(const LBMReal* const& f/*[27]*/)
- {
- return ((((f[TNE] - f[BSW]) + (f[BNW] - f[TSE])) + ((f[TNW] - f[BSE]) + (f[BNE] - f[TSW]))) +
- (((f[BN] - f[TS]) + (f[TN] - f[BS])) + ((f[NW] - f[SE]) + (f[NE] - f[SW]))) +
- (f[N] - f[S])) / getDensity(f);
- }
- /*=====================================================================*/
- static LBMReal getCompVelocityX3(const LBMReal* const& f/*[27]*/)
- {
- return ((((f[TNE] - f[BSW]) + (f[TSE] - f[BNW])) + ((f[TNW] - f[BSE]) + (f[TSW] - f[BNE]))) +
- (((f[TS] - f[BN]) + (f[TN] - f[BS])) + ((f[TW] - f[BE]) + (f[TE] - f[BW]))) +
- (f[T] - f[B])) / getDensity(f);
- }
- /*=====================================================================*/
- static void calcCompVelocityX1(const LBMReal* const& f/*[27]*/, LBMReal& vx1)
- {
- vx1 = ((((f[TNE] - f[BSW]) + (f[TSE] - f[BNW])) + ((f[BSE] - f[TNW]) + (f[BNE] - f[TSW]))) +
- (((f[BE] - f[TW]) + (f[TE] - f[BW])) + ((f[SE] - f[NW]) + (f[NE] - f[SW]))) +
- (f[E] - f[W])) / getDensity(f);
- }
- /*=====================================================================*/
- static void calcCompVelocityX2(const LBMReal* const& f/*[27]*/, LBMReal& vx2)
- {
- vx2 = ((((f[TNE] - f[BSW]) + (f[BNW] - f[TSE])) + ((f[TNW] - f[BSE]) + (f[BNE] - f[TSW]))) +
- (((f[BN] - f[TS]) + (f[TN] - f[BS])) + ((f[NW] - f[SE]) + (f[NE] - f[SW]))) +
- (f[N] - f[S])) / getDensity(f);
- }
- /*=====================================================================*/
- static void calcCompVelocityX3(const LBMReal* const& f/*[27]*/, LBMReal& vx3)
- {
- vx3 = ((((f[TNE] - f[BSW]) + (f[TSE] - f[BNW])) + ((f[TNW] - f[BSE]) + (f[TSW] - f[BNE]))) +
- (((f[TS] - f[BN]) + (f[TN] - f[BS])) + ((f[TW] - f[BE]) + (f[TE] - f[BW]))) +
- (f[T] - f[B])) / getDensity(f);
- }
- /*=====================================================================*/
- static void calcIncompMacroscopicValues(const LBMReal* const& f/*[27]*/, LBMReal& rho, LBMReal& vx1, LBMReal& vx2, LBMReal& vx3)
- {
- D3Q27System::calcDensity(f, rho);
- D3Q27System::calcIncompVelocityX1(f, vx1);
- D3Q27System::calcIncompVelocityX2(f, vx2);
- D3Q27System::calcIncompVelocityX3(f, vx3);
- }
+ }
+ /*=====================================================================*/
+ static void calcIncompVelocityX1(const LBMReal* const& f/*[27]*/, LBMReal& vx1)
+ {
+ vx1 = ((((f[TNE] - f[BSW]) + (f[TSE] - f[BNW])) + ((f[BSE] - f[TNW]) + (f[BNE] - f[TSW]))) +
+ (((f[BE] - f[TW]) + (f[TE] - f[BW])) + ((f[SE] - f[NW]) + (f[NE] - f[SW]))) +
+ (f[E] - f[W]));
+ }
+ /*=====================================================================*/
+ static void calcIncompVelocityX2(const LBMReal* const& f/*[27]*/, LBMReal& vx2)
+ {
+ vx2 = ((((f[TNE] - f[BSW]) + (f[BNW] - f[TSE])) + ((f[TNW] - f[BSE]) + (f[BNE] - f[TSW]))) +
+ (((f[BN] - f[TS]) + (f[TN] - f[BS])) + ((f[NW] - f[SE]) + (f[NE] - f[SW]))) +
+ (f[N] - f[S]));
+ }
+ /*=====================================================================*/
+ static void calcIncompVelocityX3(const LBMReal* const& f/*[27]*/, LBMReal& vx3)
+ {
+ vx3 = ((((f[TNE] - f[BSW]) + (f[TSE] - f[BNW])) + ((f[TNW] - f[BSE]) + (f[TSW] - f[BNE]))) +
+ (((f[TS] - f[BN]) + (f[TN] - f[BS])) + ((f[TW] - f[BE]) + (f[TE] - f[BW]))) +
+ (f[T] - f[B]));
+ }
+ /*=====================================================================*/
+ static LBMReal getCompVelocityX1(const LBMReal* const& f/*[27]*/)
+ {
+ return ((((f[TNE] - f[BSW]) + (f[TSE] - f[BNW])) + ((f[BSE] - f[TNW]) + (f[BNE] - f[TSW]))) +
+ (((f[BE] - f[TW]) + (f[TE] - f[BW])) + ((f[SE] - f[NW]) + (f[NE] - f[SW]))) +
+ (f[E] - f[W])) / getDensity(f);
+ }
+ /*=====================================================================*/
+ static LBMReal getCompVelocityX2(const LBMReal* const& f/*[27]*/)
+ {
+ return ((((f[TNE] - f[BSW]) + (f[BNW] - f[TSE])) + ((f[TNW] - f[BSE]) + (f[BNE] - f[TSW]))) +
+ (((f[BN] - f[TS]) + (f[TN] - f[BS])) + ((f[NW] - f[SE]) + (f[NE] - f[SW]))) +
+ (f[N] - f[S])) / getDensity(f);
+ }
+ /*=====================================================================*/
+ static LBMReal getCompVelocityX3(const LBMReal* const& f/*[27]*/)
+ {
+ return ((((f[TNE] - f[BSW]) + (f[TSE] - f[BNW])) + ((f[TNW] - f[BSE]) + (f[TSW] - f[BNE]))) +
+ (((f[TS] - f[BN]) + (f[TN] - f[BS])) + ((f[TW] - f[BE]) + (f[TE] - f[BW]))) +
+ (f[T] - f[B])) / getDensity(f);
+ }
+ /*=====================================================================*/
+ static void calcCompVelocityX1(const LBMReal* const& f/*[27]*/, LBMReal& vx1)
+ {
+ vx1 = ((((f[TNE] - f[BSW]) + (f[TSE] - f[BNW])) + ((f[BSE] - f[TNW]) + (f[BNE] - f[TSW]))) +
+ (((f[BE] - f[TW]) + (f[TE] - f[BW])) + ((f[SE] - f[NW]) + (f[NE] - f[SW]))) +
+ (f[E] - f[W])) / getDensity(f);
+ }
+ /*=====================================================================*/
+ static void calcCompVelocityX2(const LBMReal* const& f/*[27]*/, LBMReal& vx2)
+ {
+ vx2 = ((((f[TNE] - f[BSW]) + (f[BNW] - f[TSE])) + ((f[TNW] - f[BSE]) + (f[BNE] - f[TSW]))) +
+ (((f[BN] - f[TS]) + (f[TN] - f[BS])) + ((f[NW] - f[SE]) + (f[NE] - f[SW]))) +
+ (f[N] - f[S])) / getDensity(f);
+ }
+ /*=====================================================================*/
+ static void calcCompVelocityX3(const LBMReal* const& f/*[27]*/, LBMReal& vx3)
+ {
+ vx3 = ((((f[TNE] - f[BSW]) + (f[TSE] - f[BNW])) + ((f[TNW] - f[BSE]) + (f[TSW] - f[BNE]))) +
+ (((f[TS] - f[BN]) + (f[TN] - f[BS])) + ((f[TW] - f[BE]) + (f[TE] - f[BW]))) +
+ (f[T] - f[B])) / getDensity(f);
+ }
+ /*=====================================================================*/
+ static void calcIncompMacroscopicValues(const LBMReal* const& f/*[27]*/, LBMReal& rho, LBMReal& vx1, LBMReal& vx2, LBMReal& vx3)
+ {
+ D3Q27System::calcDensity(f, rho);
+ D3Q27System::calcIncompVelocityX1(f, vx1);
+ D3Q27System::calcIncompVelocityX2(f, vx2);
+ D3Q27System::calcIncompVelocityX3(f, vx3);
+ }
- /*=====================================================================*/
- static void calcCompMacroscopicValues(const LBMReal* const& f/*[27]*/, LBMReal& drho, LBMReal& vx1, LBMReal& vx2, LBMReal& vx3)
- {
- D3Q27System::calcDensity(f, drho);
- D3Q27System::calcIncompVelocityX1(f, vx1);
- D3Q27System::calcIncompVelocityX2(f, vx2);
- D3Q27System::calcIncompVelocityX3(f, vx3);
- LBMReal rho = drho + UbMath::one;
- vx1 /= rho;
- vx2 /= rho;
- vx3 /= rho;
- }
- //////////////////////////////////////////////////////////////////////////
- static LBMReal getCompFeqForDirection(const int& direction, const LBMReal& drho, const LBMReal& vx1, const LBMReal& vx2, const LBMReal& vx3)
- {
- LBMReal cu_sq = 1.5 * (vx1 * vx1 + vx2 * vx2 + vx3 * vx3);
+ /*=====================================================================*/
+ static void calcCompMacroscopicValues(const LBMReal* const& f/*[27]*/, LBMReal& drho, LBMReal& vx1, LBMReal& vx2, LBMReal& vx3)
+ {
+ D3Q27System::calcDensity(f, drho);
+ D3Q27System::calcIncompVelocityX1(f, vx1);
+ D3Q27System::calcIncompVelocityX2(f, vx2);
+ D3Q27System::calcIncompVelocityX3(f, vx3);
+ LBMReal rho = drho + UbMath::one;
+ vx1 /= rho;
+ vx2 /= rho;
+ vx3 /= rho;
+ }
+ //////////////////////////////////////////////////////////////////////////
+ static LBMReal getCompFeqForDirection(const int& direction, const LBMReal& drho, const LBMReal& vx1, const LBMReal& vx2, const LBMReal& vx3)
+ {
+ LBMReal cu_sq = 1.5 * (vx1 * vx1 + vx2 * vx2 + vx3 * vx3);
- //switch(direction)
- //{
- // case ZERO : return REAL_CAST( UbMath::c8o27*rho*(1.0-cu_sq));
- // case E : return REAL_CAST( UbMath::c2o27*rho*(1.0+3.0*( vx1 )+UbMath::c9o2*( vx1 )*( vx1 )-cu_sq));
- // case W : return REAL_CAST( UbMath::c2o27*rho*(1.0+3.0*(-vx1 )+UbMath::c9o2*(-vx1 )*(-vx1 )-cu_sq));
- // case N : return REAL_CAST( UbMath::c2o27*rho*(1.0+3.0*( vx2)+UbMath::c9o2*( vx2)*( vx2)-cu_sq));
- // case S : return REAL_CAST( UbMath::c2o27*rho*(1.0+3.0*( -vx2)+UbMath::c9o2*( -vx2)*( -vx2)-cu_sq));
- // case T : return REAL_CAST( UbMath::c2o27*rho*(1.0+3.0*( vx3 )+UbMath::c9o2*( vx3)*( vx3)-cu_sq));
- // case B : return REAL_CAST( UbMath::c2o27*rho*(1.0+3.0*( -vx3)+UbMath::c9o2*( -vx3)*( -vx3)-cu_sq));
- // case NE : return REAL_CAST( UbMath::c1o54*rho*(1.0+3.0*( vx1+vx2)+UbMath::c9o2*( vx1+vx2)*( vx1+vx2)-cu_sq));
- // case SW : return REAL_CAST( UbMath::c1o54*rho*(1.0+3.0*(-vx1-vx2)+UbMath::c9o2*(-vx1-vx2)*(-vx1-vx2)-cu_sq));
- // case SE : return REAL_CAST( UbMath::c1o54*rho*(1.0+3.0*( vx1-vx2)+UbMath::c9o2*( vx1-vx2)*( vx1-vx2)-cu_sq));
- // case NW : return REAL_CAST( UbMath::c1o54*rho*(1.0+3.0*(-vx1+vx2)+UbMath::c9o2*(-vx1+vx2)*(-vx1+vx2)-cu_sq));
- // case TE : return REAL_CAST( UbMath::c1o54*rho*(1.0+3.0*( vx1+vx3)+UbMath::c9o2*( vx1+vx3)*( vx1+vx3)-cu_sq));
- // case BW : return REAL_CAST( UbMath::c1o54*rho*(1.0+3.0*(-vx1-vx3)+UbMath::c9o2*(-vx1-vx3)*(-vx1-vx3)-cu_sq));
- // case BE : return REAL_CAST( UbMath::c1o54*rho*(1.0+3.0*( vx1-vx3)+UbMath::c9o2*( vx1-vx3)*( vx1-vx3)-cu_sq));
- // case TW : return REAL_CAST( UbMath::c1o54*rho*(1.0+3.0*(-vx1+vx3)+UbMath::c9o2*(-vx1+vx3)*(-vx1+vx3)-cu_sq));
- // case TN : return REAL_CAST( UbMath::c1o54*rho*(1.0+3.0*( vx2+vx3)+UbMath::c9o2*( vx2+vx3)*( vx2+vx3)-cu_sq));
- // case BS : return REAL_CAST( UbMath::c1o54*rho*(1.0+3.0*(-vx2-vx3)+UbMath::c9o2*(-vx2-vx3)*(-vx2-vx3)-cu_sq));
- // case BN : return REAL_CAST( UbMath::c1o54*rho*(1.0+3.0*( vx2-vx3)+UbMath::c9o2*( vx2-vx3)*( vx2-vx3)-cu_sq));
- // case TS : return REAL_CAST( UbMath::c1o54*rho*(1.0+3.0*(-vx2+vx3)+UbMath::c9o2*(-vx2+vx3)*(-vx2+vx3)-cu_sq));
- // case TNE : return REAL_CAST(UbMath::c1o216*rho*(1.0+3.0*( vx1+vx2+vx3)+UbMath::c9o2*( vx1+vx2+vx3)*( vx1+vx2+vx3)-cu_sq));
- // case BSW : return REAL_CAST(UbMath::c1o216*rho*(1.0+3.0*(-vx1-vx2-vx3)+UbMath::c9o2*(-vx1-vx2-vx3)*(-vx1-vx2-vx3)-cu_sq));
- // case BNE : return REAL_CAST(UbMath::c1o216*rho*(1.0+3.0*( vx1+vx2-vx3)+UbMath::c9o2*( vx1+vx2-vx3)*( vx1+vx2-vx3)-cu_sq));
- // case TSW : return REAL_CAST(UbMath::c1o216*rho*(1.0+3.0*(-vx1-vx2+vx3)+UbMath::c9o2*(-vx1-vx2+vx3)*(-vx1-vx2+vx3)-cu_sq));
- // case TSE : return REAL_CAST(UbMath::c1o216*rho*(1.0+3.0*( vx1-vx2+vx3)+UbMath::c9o2*( vx1-vx2+vx3)*( vx1-vx2+vx3)-cu_sq));
- // case BNW : return REAL_CAST(UbMath::c1o216*rho*(1.0+3.0*(-vx1+vx2-vx3)+UbMath::c9o2*(-vx1+vx2-vx3)*(-vx1+vx2-vx3)-cu_sq));
- // case BSE : return REAL_CAST(UbMath::c1o216*rho*(1.0+3.0*( vx1-vx2-vx3)+UbMath::c9o2*( vx1-vx2-vx3)*( vx1-vx2-vx3)-cu_sq));
- // case TNW : return REAL_CAST(UbMath::c1o216*rho*(1.0+3.0*(-vx1+vx2+vx3)+UbMath::c9o2*(-vx1+vx2+vx3)*(-vx1+vx2+vx3)-cu_sq));
- // default: throw UbException(UB_EXARGS,"unknown dir");
- //}
+ //switch(direction)
+ //{
+ // case ZERO : return REAL_CAST( UbMath::c8o27*rho*(1.0-cu_sq));
+ // case E : return REAL_CAST( UbMath::c2o27*rho*(1.0+3.0*( vx1 )+UbMath::c9o2*( vx1 )*( vx1 )-cu_sq));
+ // case W : return REAL_CAST( UbMath::c2o27*rho*(1.0+3.0*(-vx1 )+UbMath::c9o2*(-vx1 )*(-vx1 )-cu_sq));
+ // case N : return REAL_CAST( UbMath::c2o27*rho*(1.0+3.0*( vx2)+UbMath::c9o2*( vx2)*( vx2)-cu_sq));
+ // case S : return REAL_CAST( UbMath::c2o27*rho*(1.0+3.0*( -vx2)+UbMath::c9o2*( -vx2)*( -vx2)-cu_sq));
+ // case T : return REAL_CAST( UbMath::c2o27*rho*(1.0+3.0*( vx3 )+UbMath::c9o2*( vx3)*( vx3)-cu_sq));
+ // case B : return REAL_CAST( UbMath::c2o27*rho*(1.0+3.0*( -vx3)+UbMath::c9o2*( -vx3)*( -vx3)-cu_sq));
+ // case NE : return REAL_CAST( UbMath::c1o54*rho*(1.0+3.0*( vx1+vx2)+UbMath::c9o2*( vx1+vx2)*( vx1+vx2)-cu_sq));
+ // case SW : return REAL_CAST( UbMath::c1o54*rho*(1.0+3.0*(-vx1-vx2)+UbMath::c9o2*(-vx1-vx2)*(-vx1-vx2)-cu_sq));
+ // case SE : return REAL_CAST( UbMath::c1o54*rho*(1.0+3.0*( vx1-vx2)+UbMath::c9o2*( vx1-vx2)*( vx1-vx2)-cu_sq));
+ // case NW : return REAL_CAST( UbMath::c1o54*rho*(1.0+3.0*(-vx1+vx2)+UbMath::c9o2*(-vx1+vx2)*(-vx1+vx2)-cu_sq));
+ // case TE : return REAL_CAST( UbMath::c1o54*rho*(1.0+3.0*( vx1+vx3)+UbMath::c9o2*( vx1+vx3)*( vx1+vx3)-cu_sq));
+ // case BW : return REAL_CAST( UbMath::c1o54*rho*(1.0+3.0*(-vx1-vx3)+UbMath::c9o2*(-vx1-vx3)*(-vx1-vx3)-cu_sq));
+ // case BE : return REAL_CAST( UbMath::c1o54*rho*(1.0+3.0*( vx1-vx3)+UbMath::c9o2*( vx1-vx3)*( vx1-vx3)-cu_sq));
+ // case TW : return REAL_CAST( UbMath::c1o54*rho*(1.0+3.0*(-vx1+vx3)+UbMath::c9o2*(-vx1+vx3)*(-vx1+vx3)-cu_sq));
+ // case TN : return REAL_CAST( UbMath::c1o54*rho*(1.0+3.0*( vx2+vx3)+UbMath::c9o2*( vx2+vx3)*( vx2+vx3)-cu_sq));
+ // case BS : return REAL_CAST( UbMath::c1o54*rho*(1.0+3.0*(-vx2-vx3)+UbMath::c9o2*(-vx2-vx3)*(-vx2-vx3)-cu_sq));
+ // case BN : return REAL_CAST( UbMath::c1o54*rho*(1.0+3.0*( vx2-vx3)+UbMath::c9o2*( vx2-vx3)*( vx2-vx3)-cu_sq));
+ // case TS : return REAL_CAST( UbMath::c1o54*rho*(1.0+3.0*(-vx2+vx3)+UbMath::c9o2*(-vx2+vx3)*(-vx2+vx3)-cu_sq));
+ // case TNE : return REAL_CAST(UbMath::c1o216*rho*(1.0+3.0*( vx1+vx2+vx3)+UbMath::c9o2*( vx1+vx2+vx3)*( vx1+vx2+vx3)-cu_sq));
+ // case BSW : return REAL_CAST(UbMath::c1o216*rho*(1.0+3.0*(-vx1-vx2-vx3)+UbMath::c9o2*(-vx1-vx2-vx3)*(-vx1-vx2-vx3)-cu_sq));
+ // case BNE : return REAL_CAST(UbMath::c1o216*rho*(1.0+3.0*( vx1+vx2-vx3)+UbMath::c9o2*( vx1+vx2-vx3)*( vx1+vx2-vx3)-cu_sq));
+ // case TSW : return REAL_CAST(UbMath::c1o216*rho*(1.0+3.0*(-vx1-vx2+vx3)+UbMath::c9o2*(-vx1-vx2+vx3)*(-vx1-vx2+vx3)-cu_sq));
+ // case TSE : return REAL_CAST(UbMath::c1o216*rho*(1.0+3.0*( vx1-vx2+vx3)+UbMath::c9o2*( vx1-vx2+vx3)*( vx1-vx2+vx3)-cu_sq));
+ // case BNW : return REAL_CAST(UbMath::c1o216*rho*(1.0+3.0*(-vx1+vx2-vx3)+UbMath::c9o2*(-vx1+vx2-vx3)*(-vx1+vx2-vx3)-cu_sq));
+ // case BSE : return REAL_CAST(UbMath::c1o216*rho*(1.0+3.0*( vx1-vx2-vx3)+UbMath::c9o2*( vx1-vx2-vx3)*( vx1-vx2-vx3)-cu_sq));
+ // case TNW : return REAL_CAST(UbMath::c1o216*rho*(1.0+3.0*(-vx1+vx2+vx3)+UbMath::c9o2*(-vx1+vx2+vx3)*(-vx1+vx2+vx3)-cu_sq));
+ // default: throw UbException(UB_EXARGS,"unknown dir");
+ //}
- ////-----
- LBMReal rho = drho + UbMath::one;
- switch (direction)
- {
- case ZERO: return REAL_CAST(UbMath::c8o27 * (drho + rho * (-cu_sq)));
- case E: return REAL_CAST(UbMath::c2o27 * (drho + rho * (3.0 * (vx1)+UbMath::c9o2 * (vx1) * (vx1)-cu_sq)));
- case W: return REAL_CAST(UbMath::c2o27 * (drho + rho * (3.0 * (-vx1) + UbMath::c9o2 * (-vx1) * (-vx1) - cu_sq)));
- case N: return REAL_CAST(UbMath::c2o27 * (drho + rho * (3.0 * (vx2)+UbMath::c9o2 * (vx2) * (vx2)-cu_sq)));
- case S: return REAL_CAST(UbMath::c2o27 * (drho + rho * (3.0 * (-vx2) + UbMath::c9o2 * (-vx2) * (-vx2) - cu_sq)));
- case T: return REAL_CAST(UbMath::c2o27 * (drho + rho * (3.0 * (vx3)+UbMath::c9o2 * (vx3) * (vx3)-cu_sq)));
- case B: return REAL_CAST(UbMath::c2o27 * (drho + rho * (3.0 * (-vx3) + UbMath::c9o2 * (-vx3) * (-vx3) - cu_sq)));
- case NE: return REAL_CAST(UbMath::c1o54 * (drho + rho * (3.0 * (vx1 + vx2) + UbMath::c9o2 * (vx1 + vx2) * (vx1 + vx2) - cu_sq)));
- case SW: return REAL_CAST(UbMath::c1o54 * (drho + rho * (3.0 * (-vx1 - vx2) + UbMath::c9o2 * (-vx1 - vx2) * (-vx1 - vx2) - cu_sq)));
- case SE: return REAL_CAST(UbMath::c1o54 * (drho + rho * (3.0 * (vx1 - vx2) + UbMath::c9o2 * (vx1 - vx2) * (vx1 - vx2) - cu_sq)));
- case NW: return REAL_CAST(UbMath::c1o54 * (drho + rho * (3.0 * (-vx1 + vx2) + UbMath::c9o2 * (-vx1 + vx2) * (-vx1 + vx2) - cu_sq)));
- case TE: return REAL_CAST(UbMath::c1o54 * (drho + rho * (3.0 * (vx1 + vx3) + UbMath::c9o2 * (vx1 + vx3) * (vx1 + vx3) - cu_sq)));
- case BW: return REAL_CAST(UbMath::c1o54 * (drho + rho * (3.0 * (-vx1 - vx3) + UbMath::c9o2 * (-vx1 - vx3) * (-vx1 - vx3) - cu_sq)));
- case BE: return REAL_CAST(UbMath::c1o54 * (drho + rho * (3.0 * (vx1 - vx3) + UbMath::c9o2 * (vx1 - vx3) * (vx1 - vx3) - cu_sq)));
- case TW: return REAL_CAST(UbMath::c1o54 * (drho + rho * (3.0 * (-vx1 + vx3) + UbMath::c9o2 * (-vx1 + vx3) * (-vx1 + vx3) - cu_sq)));
- case TN: return REAL_CAST(UbMath::c1o54 * (drho + rho * (3.0 * (vx2 + vx3) + UbMath::c9o2 * (vx2 + vx3) * (vx2 + vx3) - cu_sq)));
- case BS: return REAL_CAST(UbMath::c1o54 * (drho + rho * (3.0 * (-vx2 - vx3) + UbMath::c9o2 * (-vx2 - vx3) * (-vx2 - vx3) - cu_sq)));
- case BN: return REAL_CAST(UbMath::c1o54 * (drho + rho * (3.0 * (vx2 - vx3) + UbMath::c9o2 * (vx2 - vx3) * (vx2 - vx3) - cu_sq)));
- case TS: return REAL_CAST(UbMath::c1o54 * (drho + rho * (3.0 * (-vx2 + vx3) + UbMath::c9o2 * (-vx2 + vx3) * (-vx2 + vx3) - cu_sq)));
- case TNE: return REAL_CAST(UbMath::c1o216 * (drho + rho * (3.0 * (vx1 + vx2 + vx3) + UbMath::c9o2 * (vx1 + vx2 + vx3) * (vx1 + vx2 + vx3) - cu_sq)));
- case BSW: return REAL_CAST(UbMath::c1o216 * (drho + rho * (3.0 * (-vx1 - vx2 - vx3) + UbMath::c9o2 * (-vx1 - vx2 - vx3) * (-vx1 - vx2 - vx3) - cu_sq)));
- case BNE: return REAL_CAST(UbMath::c1o216 * (drho + rho * (3.0 * (vx1 + vx2 - vx3) + UbMath::c9o2 * (vx1 + vx2 - vx3) * (vx1 + vx2 - vx3) - cu_sq)));
- case TSW: return REAL_CAST(UbMath::c1o216 * (drho + rho * (3.0 * (-vx1 - vx2 + vx3) + UbMath::c9o2 * (-vx1 - vx2 + vx3) * (-vx1 - vx2 + vx3) - cu_sq)));
- case TSE: return REAL_CAST(UbMath::c1o216 * (drho + rho * (3.0 * (vx1 - vx2 + vx3) + UbMath::c9o2 * (vx1 - vx2 + vx3) * (vx1 - vx2 + vx3) - cu_sq)));
- case BNW: return REAL_CAST(UbMath::c1o216 * (drho + rho * (3.0 * (-vx1 + vx2 - vx3) + UbMath::c9o2 * (-vx1 + vx2 - vx3) * (-vx1 + vx2 - vx3) - cu_sq)));
- case BSE: return REAL_CAST(UbMath::c1o216 * (drho + rho * (3.0 * (vx1 - vx2 - vx3) + UbMath::c9o2 * (vx1 - vx2 - vx3) * (vx1 - vx2 - vx3) - cu_sq)));
- case TNW: return REAL_CAST(UbMath::c1o216 * (drho + rho * (3.0 * (-vx1 + vx2 + vx3) + UbMath::c9o2 * (-vx1 + vx2 + vx3) * (-vx1 + vx2 + vx3) - cu_sq)));
- default: throw UbException(UB_EXARGS, "unknown dir");
- }
+ ////-----
+ LBMReal rho = drho + UbMath::one;
+ switch (direction)
+ {
+ case ZERO: return REAL_CAST(UbMath::c8o27 * (drho + rho * (-cu_sq)));
+ case E: return REAL_CAST(UbMath::c2o27 * (drho + rho * (3.0 * (vx1)+UbMath::c9o2 * (vx1) * (vx1)-cu_sq)));
+ case W: return REAL_CAST(UbMath::c2o27 * (drho + rho * (3.0 * (-vx1) + UbMath::c9o2 * (-vx1) * (-vx1) - cu_sq)));
+ case N: return REAL_CAST(UbMath::c2o27 * (drho + rho * (3.0 * (vx2)+UbMath::c9o2 * (vx2) * (vx2)-cu_sq)));
+ case S: return REAL_CAST(UbMath::c2o27 * (drho + rho * (3.0 * (-vx2) + UbMath::c9o2 * (-vx2) * (-vx2) - cu_sq)));
+ case T: return REAL_CAST(UbMath::c2o27 * (drho + rho * (3.0 * (vx3)+UbMath::c9o2 * (vx3) * (vx3)-cu_sq)));
+ case B: return REAL_CAST(UbMath::c2o27 * (drho + rho * (3.0 * (-vx3) + UbMath::c9o2 * (-vx3) * (-vx3) - cu_sq)));
+ case NE: return REAL_CAST(UbMath::c1o54 * (drho + rho * (3.0 * (vx1 + vx2) + UbMath::c9o2 * (vx1 + vx2) * (vx1 + vx2) - cu_sq)));
+ case SW: return REAL_CAST(UbMath::c1o54 * (drho + rho * (3.0 * (-vx1 - vx2) + UbMath::c9o2 * (-vx1 - vx2) * (-vx1 - vx2) - cu_sq)));
+ case SE: return REAL_CAST(UbMath::c1o54 * (drho + rho * (3.0 * (vx1 - vx2) + UbMath::c9o2 * (vx1 - vx2) * (vx1 - vx2) - cu_sq)));
+ case NW: return REAL_CAST(UbMath::c1o54 * (drho + rho * (3.0 * (-vx1 + vx2) + UbMath::c9o2 * (-vx1 + vx2) * (-vx1 + vx2) - cu_sq)));
+ case TE: return REAL_CAST(UbMath::c1o54 * (drho + rho * (3.0 * (vx1 + vx3) + UbMath::c9o2 * (vx1 + vx3) * (vx1 + vx3) - cu_sq)));
+ case BW: return REAL_CAST(UbMath::c1o54 * (drho + rho * (3.0 * (-vx1 - vx3) + UbMath::c9o2 * (-vx1 - vx3) * (-vx1 - vx3) - cu_sq)));
+ case BE: return REAL_CAST(UbMath::c1o54 * (drho + rho * (3.0 * (vx1 - vx3) + UbMath::c9o2 * (vx1 - vx3) * (vx1 - vx3) - cu_sq)));
+ case TW: return REAL_CAST(UbMath::c1o54 * (drho + rho * (3.0 * (-vx1 + vx3) + UbMath::c9o2 * (-vx1 + vx3) * (-vx1 + vx3) - cu_sq)));
+ case TN: return REAL_CAST(UbMath::c1o54 * (drho + rho * (3.0 * (vx2 + vx3) + UbMath::c9o2 * (vx2 + vx3) * (vx2 + vx3) - cu_sq)));
+ case BS: return REAL_CAST(UbMath::c1o54 * (drho + rho * (3.0 * (-vx2 - vx3) + UbMath::c9o2 * (-vx2 - vx3) * (-vx2 - vx3) - cu_sq)));
+ case BN: return REAL_CAST(UbMath::c1o54 * (drho + rho * (3.0 * (vx2 - vx3) + UbMath::c9o2 * (vx2 - vx3) * (vx2 - vx3) - cu_sq)));
+ case TS: return REAL_CAST(UbMath::c1o54 * (drho + rho * (3.0 * (-vx2 + vx3) + UbMath::c9o2 * (-vx2 + vx3) * (-vx2 + vx3) - cu_sq)));
+ case TNE: return REAL_CAST(UbMath::c1o216 * (drho + rho * (3.0 * (vx1 + vx2 + vx3) + UbMath::c9o2 * (vx1 + vx2 + vx3) * (vx1 + vx2 + vx3) - cu_sq)));
+ case BSW: return REAL_CAST(UbMath::c1o216 * (drho + rho * (3.0 * (-vx1 - vx2 - vx3) + UbMath::c9o2 * (-vx1 - vx2 - vx3) * (-vx1 - vx2 - vx3) - cu_sq)));
+ case BNE: return REAL_CAST(UbMath::c1o216 * (drho + rho * (3.0 * (vx1 + vx2 - vx3) + UbMath::c9o2 * (vx1 + vx2 - vx3) * (vx1 + vx2 - vx3) - cu_sq)));
+ case TSW: return REAL_CAST(UbMath::c1o216 * (drho + rho * (3.0 * (-vx1 - vx2 + vx3) + UbMath::c9o2 * (-vx1 - vx2 + vx3) * (-vx1 - vx2 + vx3) - cu_sq)));
+ case TSE: return REAL_CAST(UbMath::c1o216 * (drho + rho * (3.0 * (vx1 - vx2 + vx3) + UbMath::c9o2 * (vx1 - vx2 + vx3) * (vx1 - vx2 + vx3) - cu_sq)));
+ case BNW: return REAL_CAST(UbMath::c1o216 * (drho + rho * (3.0 * (-vx1 + vx2 - vx3) + UbMath::c9o2 * (-vx1 + vx2 - vx3) * (-vx1 + vx2 - vx3) - cu_sq)));
+ case BSE: return REAL_CAST(UbMath::c1o216 * (drho + rho * (3.0 * (vx1 - vx2 - vx3) + UbMath::c9o2 * (vx1 - vx2 - vx3) * (vx1 - vx2 - vx3) - cu_sq)));
+ case TNW: return REAL_CAST(UbMath::c1o216 * (drho + rho * (3.0 * (-vx1 + vx2 + vx3) + UbMath::c9o2 * (-vx1 + vx2 + vx3) * (-vx1 + vx2 + vx3) - cu_sq)));
+ default: throw UbException(UB_EXARGS, "unknown dir");
+ }
- }
- //////////////////////////////////////////////////////////////////////////
- static void calcCompFeq(LBMReal* const& feq/*[27]*/, const LBMReal& drho, const LBMReal& vx1, const LBMReal& vx2, const LBMReal& vx3)
- {
- //LBMReal cu_sq=1.5*(vx1*vx1+vx2*vx2+vx3*vx3);
+ }
+ //////////////////////////////////////////////////////////////////////////
+ static void calcCompFeq(LBMReal* const& feq/*[27]*/, const LBMReal& drho, const LBMReal& vx1, const LBMReal& vx2, const LBMReal& vx3)
+ {
+ //LBMReal cu_sq=1.5*(vx1*vx1+vx2*vx2+vx3*vx3);
- //feq[ZERO] = UbMath::c8o27*rho*(1.0-cu_sq);
- //feq[E] = UbMath::c2o27*rho*(1.0+3.0*( vx1 )+UbMath::c9o2*( vx1 )*( vx1 )-cu_sq);
- //feq[W] = UbMath::c2o27*rho*(1.0+3.0*(-vx1 )+UbMath::c9o2*(-vx1 )*(-vx1 )-cu_sq);
- //feq[N] = UbMath::c2o27*rho*(1.0+3.0*( vx2)+UbMath::c9o2*( vx2)*( vx2)-cu_sq);
- //feq[S] = UbMath::c2o27*rho*(1.0+3.0*( -vx2)+UbMath::c9o2*( -vx2)*( -vx2)-cu_sq);
- //feq[T] = UbMath::c2o27*rho*(1.0+3.0*( vx3 )+UbMath::c9o2*( vx3)*( vx3)-cu_sq);
- //feq[B] = UbMath::c2o27*rho*(1.0+3.0*( -vx3)+UbMath::c9o2*( -vx3)*( -vx3)-cu_sq);
- //feq[NE] = UbMath::c1o54*rho*(1.0+3.0*( vx1+vx2)+UbMath::c9o2*( vx1+vx2)*( vx1+vx2)-cu_sq);
- //feq[SW] = UbMath::c1o54*rho*(1.0+3.0*(-vx1-vx2)+UbMath::c9o2*(-vx1-vx2)*(-vx1-vx2)-cu_sq);
- //feq[SE] = UbMath::c1o54*rho*(1.0+3.0*( vx1-vx2)+UbMath::c9o2*( vx1-vx2)*( vx1-vx2)-cu_sq);
- //feq[NW] = UbMath::c1o54*rho*(1.0+3.0*(-vx1+vx2)+UbMath::c9o2*(-vx1+vx2)*(-vx1+vx2)-cu_sq);
- //feq[TE] = UbMath::c1o54*rho*(1.0+3.0*( vx1+vx3)+UbMath::c9o2*( vx1+vx3)*( vx1+vx3)-cu_sq);
- //feq[BW] = UbMath::c1o54*rho*(1.0+3.0*(-vx1-vx3)+UbMath::c9o2*(-vx1-vx3)*(-vx1-vx3)-cu_sq);
- //feq[BE] = UbMath::c1o54*rho*(1.0+3.0*( vx1-vx3)+UbMath::c9o2*( vx1-vx3)*( vx1-vx3)-cu_sq);
- //feq[TW] = UbMath::c1o54*rho*(1.0+3.0*(-vx1+vx3)+UbMath::c9o2*(-vx1+vx3)*(-vx1+vx3)-cu_sq);
- //feq[TN] = UbMath::c1o54*rho*(1.0+3.0*( vx2+vx3)+UbMath::c9o2*( vx2+vx3)*( vx2+vx3)-cu_sq);
- //feq[BS] = UbMath::c1o54*rho*(1.0+3.0*(-vx2-vx3)+UbMath::c9o2*(-vx2-vx3)*(-vx2-vx3)-cu_sq);
- //feq[BN] = UbMath::c1o54*rho*(1.0+3.0*( vx2-vx3)+UbMath::c9o2*( vx2-vx3)*( vx2-vx3)-cu_sq);
- //feq[TS] = UbMath::c1o54*rho*(1.0+3.0*(-vx2+vx3)+UbMath::c9o2*(-vx2+vx3)*(-vx2+vx3)-cu_sq);
- //feq[TNE] = UbMath::c1o216*rho*(1.0+3.0*( vx1+vx2+vx3)+UbMath::c9o2*( vx1+vx2+vx3)*( vx1+vx2+vx3)-cu_sq);
- //feq[BSW] = UbMath::c1o216*rho*(1.0+3.0*(-vx1-vx2-vx3)+UbMath::c9o2*(-vx1-vx2-vx3)*(-vx1-vx2-vx3)-cu_sq);
- //feq[BNE] = UbMath::c1o216*rho*(1.0+3.0*( vx1+vx2-vx3)+UbMath::c9o2*( vx1+vx2-vx3)*( vx1+vx2-vx3)-cu_sq);
- //feq[TSW] = UbMath::c1o216*rho*(1.0+3.0*(-vx1-vx2+vx3)+UbMath::c9o2*(-vx1-vx2+vx3)*(-vx1-vx2+vx3)-cu_sq);
- //feq[TSE] = UbMath::c1o216*rho*(1.0+3.0*( vx1-vx2+vx3)+UbMath::c9o2*( vx1-vx2+vx3)*( vx1-vx2+vx3)-cu_sq);
- //feq[BNW] = UbMath::c1o216*rho*(1.0+3.0*(-vx1+vx2-vx3)+UbMath::c9o2*(-vx1+vx2-vx3)*(-vx1+vx2-vx3)-cu_sq);
- //feq[BSE] = UbMath::c1o216*rho*(1.0+3.0*( vx1-vx2-vx3)+UbMath::c9o2*( vx1-vx2-vx3)*( vx1-vx2-vx3)-cu_sq);
- //feq[TNW] = UbMath::c1o216*rho*(1.0+3.0*(-vx1+vx2+vx3)+UbMath::c9o2*(-vx1+vx2+vx3)*(-vx1+vx2+vx3)-cu_sq);
+ //feq[ZERO] = UbMath::c8o27*rho*(1.0-cu_sq);
+ //feq[E] = UbMath::c2o27*rho*(1.0+3.0*( vx1 )+UbMath::c9o2*( vx1 )*( vx1 )-cu_sq);
+ //feq[W] = UbMath::c2o27*rho*(1.0+3.0*(-vx1 )+UbMath::c9o2*(-vx1 )*(-vx1 )-cu_sq);
+ //feq[N] = UbMath::c2o27*rho*(1.0+3.0*( vx2)+UbMath::c9o2*( vx2)*( vx2)-cu_sq);
+ //feq[S] = UbMath::c2o27*rho*(1.0+3.0*( -vx2)+UbMath::c9o2*( -vx2)*( -vx2)-cu_sq);
+ //feq[T] = UbMath::c2o27*rho*(1.0+3.0*( vx3 )+UbMath::c9o2*( vx3)*( vx3)-cu_sq);
+ //feq[B] = UbMath::c2o27*rho*(1.0+3.0*( -vx3)+UbMath::c9o2*( -vx3)*( -vx3)-cu_sq);
+ //feq[NE] = UbMath::c1o54*rho*(1.0+3.0*( vx1+vx2)+UbMath::c9o2*( vx1+vx2)*( vx1+vx2)-cu_sq);
+ //feq[SW] = UbMath::c1o54*rho*(1.0+3.0*(-vx1-vx2)+UbMath::c9o2*(-vx1-vx2)*(-vx1-vx2)-cu_sq);
+ //feq[SE] = UbMath::c1o54*rho*(1.0+3.0*( vx1-vx2)+UbMath::c9o2*( vx1-vx2)*( vx1-vx2)-cu_sq);
+ //feq[NW] = UbMath::c1o54*rho*(1.0+3.0*(-vx1+vx2)+UbMath::c9o2*(-vx1+vx2)*(-vx1+vx2)-cu_sq);
+ //feq[TE] = UbMath::c1o54*rho*(1.0+3.0*( vx1+vx3)+UbMath::c9o2*( vx1+vx3)*( vx1+vx3)-cu_sq);
+ //feq[BW] = UbMath::c1o54*rho*(1.0+3.0*(-vx1-vx3)+UbMath::c9o2*(-vx1-vx3)*(-vx1-vx3)-cu_sq);
+ //feq[BE] = UbMath::c1o54*rho*(1.0+3.0*( vx1-vx3)+UbMath::c9o2*( vx1-vx3)*( vx1-vx3)-cu_sq);
+ //feq[TW] = UbMath::c1o54*rho*(1.0+3.0*(-vx1+vx3)+UbMath::c9o2*(-vx1+vx3)*(-vx1+vx3)-cu_sq);
+ //feq[TN] = UbMath::c1o54*rho*(1.0+3.0*( vx2+vx3)+UbMath::c9o2*( vx2+vx3)*( vx2+vx3)-cu_sq);
+ //feq[BS] = UbMath::c1o54*rho*(1.0+3.0*(-vx2-vx3)+UbMath::c9o2*(-vx2-vx3)*(-vx2-vx3)-cu_sq);
+ //feq[BN] = UbMath::c1o54*rho*(1.0+3.0*( vx2-vx3)+UbMath::c9o2*( vx2-vx3)*( vx2-vx3)-cu_sq);
+ //feq[TS] = UbMath::c1o54*rho*(1.0+3.0*(-vx2+vx3)+UbMath::c9o2*(-vx2+vx3)*(-vx2+vx3)-cu_sq);
+ //feq[TNE] = UbMath::c1o216*rho*(1.0+3.0*( vx1+vx2+vx3)+UbMath::c9o2*( vx1+vx2+vx3)*( vx1+vx2+vx3)-cu_sq);
+ //feq[BSW] = UbMath::c1o216*rho*(1.0+3.0*(-vx1-vx2-vx3)+UbMath::c9o2*(-vx1-vx2-vx3)*(-vx1-vx2-vx3)-cu_sq);
+ //feq[BNE] = UbMath::c1o216*rho*(1.0+3.0*( vx1+vx2-vx3)+UbMath::c9o2*( vx1+vx2-vx3)*( vx1+vx2-vx3)-cu_sq);
+ //feq[TSW] = UbMath::c1o216*rho*(1.0+3.0*(-vx1-vx2+vx3)+UbMath::c9o2*(-vx1-vx2+vx3)*(-vx1-vx2+vx3)-cu_sq);
+ //feq[TSE] = UbMath::c1o216*rho*(1.0+3.0*( vx1-vx2+vx3)+UbMath::c9o2*( vx1-vx2+vx3)*( vx1-vx2+vx3)-cu_sq);
+ //feq[BNW] = UbMath::c1o216*rho*(1.0+3.0*(-vx1+vx2-vx3)+UbMath::c9o2*(-vx1+vx2-vx3)*(-vx1+vx2-vx3)-cu_sq);
+ //feq[BSE] = UbMath::c1o216*rho*(1.0+3.0*( vx1-vx2-vx3)+UbMath::c9o2*( vx1-vx2-vx3)*( vx1-vx2-vx3)-cu_sq);
+ //feq[TNW] = UbMath::c1o216*rho*(1.0+3.0*(-vx1+vx2+vx3)+UbMath::c9o2*(-vx1+vx2+vx3)*(-vx1+vx2+vx3)-cu_sq);
- //////////////////////////////////////////////////////////////////////////
+ //////////////////////////////////////////////////////////////////////////
- LBMReal cu_sq = 1.5 * (vx1 * vx1 + vx2 * vx2 + vx3 * vx3);
- LBMReal rho = drho + UbMath::one;
+ LBMReal cu_sq = 1.5 * (vx1 * vx1 + vx2 * vx2 + vx3 * vx3);
+ LBMReal rho = drho + UbMath::one;
- feq[ZERO] = UbMath::c8o27 * (drho + rho * (-cu_sq));
- feq[E] = UbMath::c2o27 * (drho + rho * (3.0 * (vx1)+UbMath::c9o2 * (vx1) * (vx1)-cu_sq));
- feq[W] = UbMath::c2o27 * (drho + rho * (3.0 * (-vx1) + UbMath::c9o2 * (-vx1) * (-vx1) - cu_sq));
- feq[N] = UbMath::c2o27 * (drho + rho * (3.0 * (vx2)+UbMath::c9o2 * (vx2) * (vx2)-cu_sq));
- feq[S] = UbMath::c2o27 * (drho + rho * (3.0 * (-vx2) + UbMath::c9o2 * (-vx2) * (-vx2) - cu_sq));
- feq[T] = UbMath::c2o27 * (drho + rho * (3.0 * (vx3)+UbMath::c9o2 * (vx3) * (vx3)-cu_sq));
- feq[B] = UbMath::c2o27 * (drho + rho * (3.0 * (-vx3) + UbMath::c9o2 * (-vx3) * (-vx3) - cu_sq));
- feq[NE] = UbMath::c1o54 * (drho + rho * (3.0 * (vx1 + vx2) + UbMath::c9o2 * (vx1 + vx2) * (vx1 + vx2) - cu_sq));
- feq[SW] = UbMath::c1o54 * (drho + rho * (3.0 * (-vx1 - vx2) + UbMath::c9o2 * (-vx1 - vx2) * (-vx1 - vx2) - cu_sq));
- feq[SE] = UbMath::c1o54 * (drho + rho * (3.0 * (vx1 - vx2) + UbMath::c9o2 * (vx1 - vx2) * (vx1 - vx2) - cu_sq));
- feq[NW] = UbMath::c1o54 * (drho + rho * (3.0 * (-vx1 + vx2) + UbMath::c9o2 * (-vx1 + vx2) * (-vx1 + vx2) - cu_sq));
- feq[TE] = UbMath::c1o54 * (drho + rho * (3.0 * (vx1 + vx3) + UbMath::c9o2 * (vx1 + vx3) * (vx1 + vx3) - cu_sq));
- feq[BW] = UbMath::c1o54 * (drho + rho * (3.0 * (-vx1 - vx3) + UbMath::c9o2 * (-vx1 - vx3) * (-vx1 - vx3) - cu_sq));
- feq[BE] = UbMath::c1o54 * (drho + rho * (3.0 * (vx1 - vx3) + UbMath::c9o2 * (vx1 - vx3) * (vx1 - vx3) - cu_sq));
- feq[TW] = UbMath::c1o54 * (drho + rho * (3.0 * (-vx1 + vx3) + UbMath::c9o2 * (-vx1 + vx3) * (-vx1 + vx3) - cu_sq));
- feq[TN] = UbMath::c1o54 * (drho + rho * (3.0 * (vx2 + vx3) + UbMath::c9o2 * (vx2 + vx3) * (vx2 + vx3) - cu_sq));
- feq[BS] = UbMath::c1o54 * (drho + rho * (3.0 * (-vx2 - vx3) + UbMath::c9o2 * (-vx2 - vx3) * (-vx2 - vx3) - cu_sq));
- feq[BN] = UbMath::c1o54 * (drho + rho * (3.0 * (vx2 - vx3) + UbMath::c9o2 * (vx2 - vx3) * (vx2 - vx3) - cu_sq));
- feq[TS] = UbMath::c1o54 * (drho + rho * (3.0 * (-vx2 + vx3) + UbMath::c9o2 * (-vx2 + vx3) * (-vx2 + vx3) - cu_sq));
- feq[TNE] = UbMath::c1o216 * (drho + rho * (3.0 * (vx1 + vx2 + vx3) + UbMath::c9o2 * (vx1 + vx2 + vx3) * (vx1 + vx2 + vx3) - cu_sq));
- feq[BSW] = UbMath::c1o216 * (drho + rho * (3.0 * (-vx1 - vx2 - vx3) + UbMath::c9o2 * (-vx1 - vx2 - vx3) * (-vx1 - vx2 - vx3) - cu_sq));
- feq[BNE] = UbMath::c1o216 * (drho + rho * (3.0 * (vx1 + vx2 - vx3) + UbMath::c9o2 * (vx1 + vx2 - vx3) * (vx1 + vx2 - vx3) - cu_sq));
- feq[TSW] = UbMath::c1o216 * (drho + rho * (3.0 * (-vx1 - vx2 + vx3) + UbMath::c9o2 * (-vx1 - vx2 + vx3) * (-vx1 - vx2 + vx3) - cu_sq));
- feq[TSE] = UbMath::c1o216 * (drho + rho * (3.0 * (vx1 - vx2 + vx3) + UbMath::c9o2 * (vx1 - vx2 + vx3) * (vx1 - vx2 + vx3) - cu_sq));
- feq[BNW] = UbMath::c1o216 * (drho + rho * (3.0 * (-vx1 + vx2 - vx3) + UbMath::c9o2 * (-vx1 + vx2 - vx3) * (-vx1 + vx2 - vx3) - cu_sq));
- feq[BSE] = UbMath::c1o216 * (drho + rho * (3.0 * (vx1 - vx2 - vx3) + UbMath::c9o2 * (vx1 - vx2 - vx3) * (vx1 - vx2 - vx3) - cu_sq));
- feq[TNW] = UbMath::c1o216 * (drho + rho * (3.0 * (-vx1 + vx2 + vx3) + UbMath::c9o2 * (-vx1 + vx2 + vx3) * (-vx1 + vx2 + vx3) - cu_sq));
- }
- //////////////////////////////////////////////////////////////////////////
- static LBMReal getIncompFeqForDirection(const int& direction, const LBMReal& drho, const LBMReal& vx1, const LBMReal& vx2, const LBMReal& vx3)
- {
- LBMReal cu_sq = 1.5f * (vx1 * vx1 + vx2 * vx2 + vx3 * vx3);
+ feq[ZERO] = UbMath::c8o27 * (drho + rho * (-cu_sq));
+ feq[E] = UbMath::c2o27 * (drho + rho * (3.0 * (vx1)+UbMath::c9o2 * (vx1) * (vx1)-cu_sq));
+ feq[W] = UbMath::c2o27 * (drho + rho * (3.0 * (-vx1) + UbMath::c9o2 * (-vx1) * (-vx1) - cu_sq));
+ feq[N] = UbMath::c2o27 * (drho + rho * (3.0 * (vx2)+UbMath::c9o2 * (vx2) * (vx2)-cu_sq));
+ feq[S] = UbMath::c2o27 * (drho + rho * (3.0 * (-vx2) + UbMath::c9o2 * (-vx2) * (-vx2) - cu_sq));
+ feq[T] = UbMath::c2o27 * (drho + rho * (3.0 * (vx3)+UbMath::c9o2 * (vx3) * (vx3)-cu_sq));
+ feq[B] = UbMath::c2o27 * (drho + rho * (3.0 * (-vx3) + UbMath::c9o2 * (-vx3) * (-vx3) - cu_sq));
+ feq[NE] = UbMath::c1o54 * (drho + rho * (3.0 * (vx1 + vx2) + UbMath::c9o2 * (vx1 + vx2) * (vx1 + vx2) - cu_sq));
+ feq[SW] = UbMath::c1o54 * (drho + rho * (3.0 * (-vx1 - vx2) + UbMath::c9o2 * (-vx1 - vx2) * (-vx1 - vx2) - cu_sq));
+ feq[SE] = UbMath::c1o54 * (drho + rho * (3.0 * (vx1 - vx2) + UbMath::c9o2 * (vx1 - vx2) * (vx1 - vx2) - cu_sq));
+ feq[NW] = UbMath::c1o54 * (drho + rho * (3.0 * (-vx1 + vx2) + UbMath::c9o2 * (-vx1 + vx2) * (-vx1 + vx2) - cu_sq));
+ feq[TE] = UbMath::c1o54 * (drho + rho * (3.0 * (vx1 + vx3) + UbMath::c9o2 * (vx1 + vx3) * (vx1 + vx3) - cu_sq));
+ feq[BW] = UbMath::c1o54 * (drho + rho * (3.0 * (-vx1 - vx3) + UbMath::c9o2 * (-vx1 - vx3) * (-vx1 - vx3) - cu_sq));
+ feq[BE] = UbMath::c1o54 * (drho + rho * (3.0 * (vx1 - vx3) + UbMath::c9o2 * (vx1 - vx3) * (vx1 - vx3) - cu_sq));
+ feq[TW] = UbMath::c1o54 * (drho + rho * (3.0 * (-vx1 + vx3) + UbMath::c9o2 * (-vx1 + vx3) * (-vx1 + vx3) - cu_sq));
+ feq[TN] = UbMath::c1o54 * (drho + rho * (3.0 * (vx2 + vx3) + UbMath::c9o2 * (vx2 + vx3) * (vx2 + vx3) - cu_sq));
+ feq[BS] = UbMath::c1o54 * (drho + rho * (3.0 * (-vx2 - vx3) + UbMath::c9o2 * (-vx2 - vx3) * (-vx2 - vx3) - cu_sq));
+ feq[BN] = UbMath::c1o54 * (drho + rho * (3.0 * (vx2 - vx3) + UbMath::c9o2 * (vx2 - vx3) * (vx2 - vx3) - cu_sq));
+ feq[TS] = UbMath::c1o54 * (drho + rho * (3.0 * (-vx2 + vx3) + UbMath::c9o2 * (-vx2 + vx3) * (-vx2 + vx3) - cu_sq));
+ feq[TNE] = UbMath::c1o216 * (drho + rho * (3.0 * (vx1 + vx2 + vx3) + UbMath::c9o2 * (vx1 + vx2 + vx3) * (vx1 + vx2 + vx3) - cu_sq));
+ feq[BSW] = UbMath::c1o216 * (drho + rho * (3.0 * (-vx1 - vx2 - vx3) + UbMath::c9o2 * (-vx1 - vx2 - vx3) * (-vx1 - vx2 - vx3) - cu_sq));
+ feq[BNE] = UbMath::c1o216 * (drho + rho * (3.0 * (vx1 + vx2 - vx3) + UbMath::c9o2 * (vx1 + vx2 - vx3) * (vx1 + vx2 - vx3) - cu_sq));
+ feq[TSW] = UbMath::c1o216 * (drho + rho * (3.0 * (-vx1 - vx2 + vx3) + UbMath::c9o2 * (-vx1 - vx2 + vx3) * (-vx1 - vx2 + vx3) - cu_sq));
+ feq[TSE] = UbMath::c1o216 * (drho + rho * (3.0 * (vx1 - vx2 + vx3) + UbMath::c9o2 * (vx1 - vx2 + vx3) * (vx1 - vx2 + vx3) - cu_sq));
+ feq[BNW] = UbMath::c1o216 * (drho + rho * (3.0 * (-vx1 + vx2 - vx3) + UbMath::c9o2 * (-vx1 + vx2 - vx3) * (-vx1 + vx2 - vx3) - cu_sq));
+ feq[BSE] = UbMath::c1o216 * (drho + rho * (3.0 * (vx1 - vx2 - vx3) + UbMath::c9o2 * (vx1 - vx2 - vx3) * (vx1 - vx2 - vx3) - cu_sq));
+ feq[TNW] = UbMath::c1o216 * (drho + rho * (3.0 * (-vx1 + vx2 + vx3) + UbMath::c9o2 * (-vx1 + vx2 + vx3) * (-vx1 + vx2 + vx3) - cu_sq));
+ }
+ //////////////////////////////////////////////////////////////////////////
+ static LBMReal getIncompFeqForDirection(const int& direction, const LBMReal& drho, const LBMReal& vx1, const LBMReal& vx2, const LBMReal& vx3)
+ {
+ LBMReal cu_sq = 1.5f * (vx1 * vx1 + vx2 * vx2 + vx3 * vx3);
- switch (direction)
- {
- case ZERO: return REAL_CAST(UbMath::c8o27 * (drho - cu_sq));
- case E: return REAL_CAST(UbMath::c2o27 * (drho + 3.0 * (vx1)+UbMath::c9o2 * (vx1) * (vx1)-cu_sq));
- case W: return REAL_CAST(UbMath::c2o27 * (drho + 3.0 * (-vx1) + UbMath::c9o2 * (-vx1) * (-vx1) - cu_sq));
- case N: return REAL_CAST(UbMath::c2o27 * (drho + 3.0 * (vx2)+UbMath::c9o2 * (vx2) * (vx2)-cu_sq));
- case S: return REAL_CAST(UbMath::c2o27 * (drho + 3.0 * (-vx2) + UbMath::c9o2 * (-vx2) * (-vx2) - cu_sq));
- case T: return REAL_CAST(UbMath::c2o27 * (drho + 3.0 * (vx3)+UbMath::c9o2 * (vx3) * (vx3)-cu_sq));
- case B: return REAL_CAST(UbMath::c2o27 * (drho + 3.0 * (-vx3) + UbMath::c9o2 * (-vx3) * (-vx3) - cu_sq));
- case NE: return REAL_CAST(UbMath::c1o54 * (drho + 3.0 * (vx1 + vx2) + UbMath::c9o2 * (vx1 + vx2) * (vx1 + vx2) - cu_sq));
- case SW: return REAL_CAST(UbMath::c1o54 * (drho + 3.0 * (-vx1 - vx2) + UbMath::c9o2 * (-vx1 - vx2) * (-vx1 - vx2) - cu_sq));
- case SE: return REAL_CAST(UbMath::c1o54 * (drho + 3.0 * (vx1 - vx2) + UbMath::c9o2 * (vx1 - vx2) * (vx1 - vx2) - cu_sq));
- case NW: return REAL_CAST(UbMath::c1o54 * (drho + 3.0 * (-vx1 + vx2) + UbMath::c9o2 * (-vx1 + vx2) * (-vx1 + vx2) - cu_sq));
- case TE: return REAL_CAST(UbMath::c1o54 * (drho + 3.0 * (vx1 + vx3) + UbMath::c9o2 * (vx1 + vx3) * (vx1 + vx3) - cu_sq));
- case BW: return REAL_CAST(UbMath::c1o54 * (drho + 3.0 * (-vx1 - vx3) + UbMath::c9o2 * (-vx1 - vx3) * (-vx1 - vx3) - cu_sq));
- case BE: return REAL_CAST(UbMath::c1o54 * (drho + 3.0 * (vx1 - vx3) + UbMath::c9o2 * (vx1 - vx3) * (vx1 - vx3) - cu_sq));
- case TW: return REAL_CAST(UbMath::c1o54 * (drho + 3.0 * (-vx1 + vx3) + UbMath::c9o2 * (-vx1 + vx3) * (-vx1 + vx3) - cu_sq));
- case TN: return REAL_CAST(UbMath::c1o54 * (drho + 3.0 * (vx2 + vx3) + UbMath::c9o2 * (vx2 + vx3) * (vx2 + vx3) - cu_sq));
- case BS: return REAL_CAST(UbMath::c1o54 * (drho + 3.0 * (-vx2 - vx3) + UbMath::c9o2 * (-vx2 - vx3) * (-vx2 - vx3) - cu_sq));
- case BN: return REAL_CAST(UbMath::c1o54 * (drho + 3.0 * (vx2 - vx3) + UbMath::c9o2 * (vx2 - vx3) * (vx2 - vx3) - cu_sq));
- case TS: return REAL_CAST(UbMath::c1o54 * (drho + 3.0 * (-vx2 + vx3) + UbMath::c9o2 * (-vx2 + vx3) * (-vx2 + vx3) - cu_sq));
- case TNE: return REAL_CAST(UbMath::c1o216 * (drho + 3.0 * (vx1 + vx2 + vx3) + UbMath::c9o2 * (vx1 + vx2 + vx3) * (vx1 + vx2 + vx3) - cu_sq));
- case BSW: return REAL_CAST(UbMath::c1o216 * (drho + 3.0 * (-vx1 - vx2 - vx3) + UbMath::c9o2 * (-vx1 - vx2 - vx3) * (-vx1 - vx2 - vx3) - cu_sq));
- case BNE: return REAL_CAST(UbMath::c1o216 * (drho + 3.0 * (vx1 + vx2 - vx3) + UbMath::c9o2 * (vx1 + vx2 - vx3) * (vx1 + vx2 - vx3) - cu_sq));
- case TSW: return REAL_CAST(UbMath::c1o216 * (drho + 3.0 * (-vx1 - vx2 + vx3) + UbMath::c9o2 * (-vx1 - vx2 + vx3) * (-vx1 - vx2 + vx3) - cu_sq));
- case TSE: return REAL_CAST(UbMath::c1o216 * (drho + 3.0 * (vx1 - vx2 + vx3) + UbMath::c9o2 * (vx1 - vx2 + vx3) * (vx1 - vx2 + vx3) - cu_sq));
- case BNW: return REAL_CAST(UbMath::c1o216 * (drho + 3.0 * (-vx1 + vx2 - vx3) + UbMath::c9o2 * (-vx1 + vx2 - vx3) * (-vx1 + vx2 - vx3) - cu_sq));
- case BSE: return REAL_CAST(UbMath::c1o216 * (drho + 3.0 * (vx1 - vx2 - vx3) + UbMath::c9o2 * (vx1 - vx2 - vx3) * (vx1 - vx2 - vx3) - cu_sq));
- case TNW: return REAL_CAST(UbMath::c1o216 * (drho + 3.0 * (-vx1 + vx2 + vx3) + UbMath::c9o2 * (-vx1 + vx2 + vx3) * (-vx1 + vx2 + vx3) - cu_sq));
- default: throw UbException(UB_EXARGS, "unknown dir");
- }
- }
- //////////////////////////////////////////////////////////////////////////
- static void calcIncompFeq(LBMReal* const& feq/*[27]*/, const LBMReal& drho, const LBMReal& vx1, const LBMReal& vx2, const LBMReal& vx3)
- {
- LBMReal cu_sq = 1.5 * (vx1 * vx1 + vx2 * vx2 + vx3 * vx3);
+ switch (direction)
+ {
+ case ZERO: return REAL_CAST(UbMath::c8o27 * (drho - cu_sq));
+ case E: return REAL_CAST(UbMath::c2o27 * (drho + 3.0 * (vx1)+UbMath::c9o2 * (vx1) * (vx1)-cu_sq));
+ case W: return REAL_CAST(UbMath::c2o27 * (drho + 3.0 * (-vx1) + UbMath::c9o2 * (-vx1) * (-vx1) - cu_sq));
+ case N: return REAL_CAST(UbMath::c2o27 * (drho + 3.0 * (vx2)+UbMath::c9o2 * (vx2) * (vx2)-cu_sq));
+ case S: return REAL_CAST(UbMath::c2o27 * (drho + 3.0 * (-vx2) + UbMath::c9o2 * (-vx2) * (-vx2) - cu_sq));
+ case T: return REAL_CAST(UbMath::c2o27 * (drho + 3.0 * (vx3)+UbMath::c9o2 * (vx3) * (vx3)-cu_sq));
+ case B: return REAL_CAST(UbMath::c2o27 * (drho + 3.0 * (-vx3) + UbMath::c9o2 * (-vx3) * (-vx3) - cu_sq));
+ case NE: return REAL_CAST(UbMath::c1o54 * (drho + 3.0 * (vx1 + vx2) + UbMath::c9o2 * (vx1 + vx2) * (vx1 + vx2) - cu_sq));
+ case SW: return REAL_CAST(UbMath::c1o54 * (drho + 3.0 * (-vx1 - vx2) + UbMath::c9o2 * (-vx1 - vx2) * (-vx1 - vx2) - cu_sq));
+ case SE: return REAL_CAST(UbMath::c1o54 * (drho + 3.0 * (vx1 - vx2) + UbMath::c9o2 * (vx1 - vx2) * (vx1 - vx2) - cu_sq));
+ case NW: return REAL_CAST(UbMath::c1o54 * (drho + 3.0 * (-vx1 + vx2) + UbMath::c9o2 * (-vx1 + vx2) * (-vx1 + vx2) - cu_sq));
+ case TE: return REAL_CAST(UbMath::c1o54 * (drho + 3.0 * (vx1 + vx3) + UbMath::c9o2 * (vx1 + vx3) * (vx1 + vx3) - cu_sq));
+ case BW: return REAL_CAST(UbMath::c1o54 * (drho + 3.0 * (-vx1 - vx3) + UbMath::c9o2 * (-vx1 - vx3) * (-vx1 - vx3) - cu_sq));
+ case BE: return REAL_CAST(UbMath::c1o54 * (drho + 3.0 * (vx1 - vx3) + UbMath::c9o2 * (vx1 - vx3) * (vx1 - vx3) - cu_sq));
+ case TW: return REAL_CAST(UbMath::c1o54 * (drho + 3.0 * (-vx1 + vx3) + UbMath::c9o2 * (-vx1 + vx3) * (-vx1 + vx3) - cu_sq));
+ case TN: return REAL_CAST(UbMath::c1o54 * (drho + 3.0 * (vx2 + vx3) + UbMath::c9o2 * (vx2 + vx3) * (vx2 + vx3) - cu_sq));
+ case BS: return REAL_CAST(UbMath::c1o54 * (drho + 3.0 * (-vx2 - vx3) + UbMath::c9o2 * (-vx2 - vx3) * (-vx2 - vx3) - cu_sq));
+ case BN: return REAL_CAST(UbMath::c1o54 * (drho + 3.0 * (vx2 - vx3) + UbMath::c9o2 * (vx2 - vx3) * (vx2 - vx3) - cu_sq));
+ case TS: return REAL_CAST(UbMath::c1o54 * (drho + 3.0 * (-vx2 + vx3) + UbMath::c9o2 * (-vx2 + vx3) * (-vx2 + vx3) - cu_sq));
+ case TNE: return REAL_CAST(UbMath::c1o216 * (drho + 3.0 * (vx1 + vx2 + vx3) + UbMath::c9o2 * (vx1 + vx2 + vx3) * (vx1 + vx2 + vx3) - cu_sq));
+ case BSW: return REAL_CAST(UbMath::c1o216 * (drho + 3.0 * (-vx1 - vx2 - vx3) + UbMath::c9o2 * (-vx1 - vx2 - vx3) * (-vx1 - vx2 - vx3) - cu_sq));
+ case BNE: return REAL_CAST(UbMath::c1o216 * (drho + 3.0 * (vx1 + vx2 - vx3) + UbMath::c9o2 * (vx1 + vx2 - vx3) * (vx1 + vx2 - vx3) - cu_sq));
+ case TSW: return REAL_CAST(UbMath::c1o216 * (drho + 3.0 * (-vx1 - vx2 + vx3) + UbMath::c9o2 * (-vx1 - vx2 + vx3) * (-vx1 - vx2 + vx3) - cu_sq));
+ case TSE: return REAL_CAST(UbMath::c1o216 * (drho + 3.0 * (vx1 - vx2 + vx3) + UbMath::c9o2 * (vx1 - vx2 + vx3) * (vx1 - vx2 + vx3) - cu_sq));
+ case BNW: return REAL_CAST(UbMath::c1o216 * (drho + 3.0 * (-vx1 + vx2 - vx3) + UbMath::c9o2 * (-vx1 + vx2 - vx3) * (-vx1 + vx2 - vx3) - cu_sq));
+ case BSE: return REAL_CAST(UbMath::c1o216 * (drho + 3.0 * (vx1 - vx2 - vx3) + UbMath::c9o2 * (vx1 - vx2 - vx3) * (vx1 - vx2 - vx3) - cu_sq));
+ case TNW: return REAL_CAST(UbMath::c1o216 * (drho + 3.0 * (-vx1 + vx2 + vx3) + UbMath::c9o2 * (-vx1 + vx2 + vx3) * (-vx1 + vx2 + vx3) - cu_sq));
+ default: throw UbException(UB_EXARGS, "unknown dir");
+ }
+ }
+ //////////////////////////////////////////////////////////////////////////
+ static void calcIncompFeq(LBMReal* const& feq/*[27]*/, const LBMReal& drho, const LBMReal& vx1, const LBMReal& vx2, const LBMReal& vx3)
+ {
+ LBMReal cu_sq = 1.5 * (vx1 * vx1 + vx2 * vx2 + vx3 * vx3);
- feq[ZERO] = UbMath::c8o27 * (drho - cu_sq);
- feq[E] = UbMath::c2o27 * (drho + 3.0 * (vx1)+UbMath::c9o2 * (vx1) * (vx1)-cu_sq);
- feq[W] = UbMath::c2o27 * (drho + 3.0 * (-vx1) + UbMath::c9o2 * (-vx1) * (-vx1) - cu_sq);
- feq[N] = UbMath::c2o27 * (drho + 3.0 * (vx2)+UbMath::c9o2 * (vx2) * (vx2)-cu_sq);
- feq[S] = UbMath::c2o27 * (drho + 3.0 * (-vx2) + UbMath::c9o2 * (-vx2) * (-vx2) - cu_sq);
- feq[T] = UbMath::c2o27 * (drho + 3.0 * (vx3)+UbMath::c9o2 * (vx3) * (vx3)-cu_sq);
- feq[B] = UbMath::c2o27 * (drho + 3.0 * (-vx3) + UbMath::c9o2 * (-vx3) * (-vx3) - cu_sq);
- feq[NE] = UbMath::c1o54 * (drho + 3.0 * (vx1 + vx2) + UbMath::c9o2 * (vx1 + vx2) * (vx1 + vx2) - cu_sq);
- feq[SW] = UbMath::c1o54 * (drho + 3.0 * (-vx1 - vx2) + UbMath::c9o2 * (-vx1 - vx2) * (-vx1 - vx2) - cu_sq);
- feq[SE] = UbMath::c1o54 * (drho + 3.0 * (vx1 - vx2) + UbMath::c9o2 * (vx1 - vx2) * (vx1 - vx2) - cu_sq);
- feq[NW] = UbMath::c1o54 * (drho + 3.0 * (-vx1 + vx2) + UbMath::c9o2 * (-vx1 + vx2) * (-vx1 + vx2) - cu_sq);
- feq[TE] = UbMath::c1o54 * (drho + 3.0 * (vx1 + vx3) + UbMath::c9o2 * (vx1 + vx3) * (vx1 + vx3) - cu_sq);
- feq[BW] = UbMath::c1o54 * (drho + 3.0 * (-vx1 - vx3) + UbMath::c9o2 * (-vx1 - vx3) * (-vx1 - vx3) - cu_sq);
- feq[BE] = UbMath::c1o54 * (drho + 3.0 * (vx1 - vx3) + UbMath::c9o2 * (vx1 - vx3) * (vx1 - vx3) - cu_sq);
- feq[TW] = UbMath::c1o54 * (drho + 3.0 * (-vx1 + vx3) + UbMath::c9o2 * (-vx1 + vx3) * (-vx1 + vx3) - cu_sq);
- feq[TN] = UbMath::c1o54 * (drho + 3.0 * (vx2 + vx3) + UbMath::c9o2 * (vx2 + vx3) * (vx2 + vx3) - cu_sq);
- feq[BS] = UbMath::c1o54 * (drho + 3.0 * (-vx2 - vx3) + UbMath::c9o2 * (-vx2 - vx3) * (-vx2 - vx3) - cu_sq);
- feq[BN] = UbMath::c1o54 * (drho + 3.0 * (vx2 - vx3) + UbMath::c9o2 * (vx2 - vx3) * (vx2 - vx3) - cu_sq);
- feq[TS] = UbMath::c1o54 * (drho + 3.0 * (-vx2 + vx3) + UbMath::c9o2 * (-vx2 + vx3) * (-vx2 + vx3) - cu_sq);
- feq[TNE] = UbMath::c1o216 * (drho + 3.0 * (vx1 + vx2 + vx3) + UbMath::c9o2 * (vx1 + vx2 + vx3) * (vx1 + vx2 + vx3) - cu_sq);
- feq[BSW] = UbMath::c1o216 * (drho + 3.0 * (-vx1 - vx2 - vx3) + UbMath::c9o2 * (-vx1 - vx2 - vx3) * (-vx1 - vx2 - vx3) - cu_sq);
- feq[BNE] = UbMath::c1o216 * (drho + 3.0 * (vx1 + vx2 - vx3) + UbMath::c9o2 * (vx1 + vx2 - vx3) * (vx1 + vx2 - vx3) - cu_sq);
- feq[TSW] = UbMath::c1o216 * (drho + 3.0 * (-vx1 - vx2 + vx3) + UbMath::c9o2 * (-vx1 - vx2 + vx3) * (-vx1 - vx2 + vx3) - cu_sq);
- feq[TSE] = UbMath::c1o216 * (drho + 3.0 * (vx1 - vx2 + vx3) + UbMath::c9o2 * (vx1 - vx2 + vx3) * (vx1 - vx2 + vx3) - cu_sq);
- feq[BNW] = UbMath::c1o216 * (drho + 3.0 * (-vx1 + vx2 - vx3) + UbMath::c9o2 * (-vx1 + vx2 - vx3) * (-vx1 + vx2 - vx3) - cu_sq);
- feq[BSE] = UbMath::c1o216 * (drho + 3.0 * (vx1 - vx2 - vx3) + UbMath::c9o2 * (vx1 - vx2 - vx3) * (vx1 - vx2 - vx3) - cu_sq);
- feq[TNW] = UbMath::c1o216 * (drho + 3.0 * (-vx1 + vx2 + vx3) + UbMath::c9o2 * (-vx1 + vx2 + vx3) * (-vx1 + vx2 + vx3) - cu_sq);
- }
- //////////////////////////////////////////////////////////////////////////
- static inline float getBoundaryVelocityForDirection(const int& direction, const float& bcVelocityX1, const float& bcVelocityX2, const float& bcVelocityX3)
- {
- switch (direction)
- {
- case E: return (float)(UbMath::c4o9 * (+bcVelocityX1));
- case W: return (float)(UbMath::c4o9 * (-bcVelocityX1));
- case N: return (float)(UbMath::c4o9 * (+bcVelocityX2));
- case S: return (float)(UbMath::c4o9 * (-bcVelocityX2));
- case T: return (float)(UbMath::c4o9 * (+bcVelocityX3));
- case B: return (float)(UbMath::c4o9 * (-bcVelocityX3));
- case NE: return (float)(UbMath::c1o9 * (+bcVelocityX1 + bcVelocityX2));
- case SW: return (float)(UbMath::c1o9 * (-bcVelocityX1 - bcVelocityX2));
- case SE: return (float)(UbMath::c1o9 * (+bcVelocityX1 - bcVelocityX2));
- case NW: return (float)(UbMath::c1o9 * (-bcVelocityX1 + bcVelocityX2));
- case TE: return (float)(UbMath::c1o9 * (+bcVelocityX1 + bcVelocityX3));
- case BW: return (float)(UbMath::c1o9 * (-bcVelocityX1 - bcVelocityX3));
- case BE: return (float)(UbMath::c1o9 * (+bcVelocityX1 - bcVelocityX3));
- case TW: return (float)(UbMath::c1o9 * (-bcVelocityX1 + bcVelocityX3));
- case TN: return (float)(UbMath::c1o9 * (+bcVelocityX2 + bcVelocityX3));
- case BS: return (float)(UbMath::c1o9 * (-bcVelocityX2 - bcVelocityX3));
- case BN: return (float)(UbMath::c1o9 * (+bcVelocityX2 - bcVelocityX3));
- case TS: return (float)(UbMath::c1o9 * (-bcVelocityX2 + bcVelocityX3));
- case TNE: return (float)(UbMath::c1o36 * (+bcVelocityX1 + bcVelocityX2 + bcVelocityX3));
- case BSW: return (float)(UbMath::c1o36 * (-bcVelocityX1 - bcVelocityX2 - bcVelocityX3));
- case BNE: return (float)(UbMath::c1o36 * (+bcVelocityX1 + bcVelocityX2 - bcVelocityX3));
- case TSW: return (float)(UbMath::c1o36 * (-bcVelocityX1 - bcVelocityX2 + bcVelocityX3));
- case TSE: return (float)(UbMath::c1o36 * (+bcVelocityX1 - bcVelocityX2 + bcVelocityX3));
- case BNW: return (float)(UbMath::c1o36 * (-bcVelocityX1 + bcVelocityX2 - bcVelocityX3));
- case BSE: return (float)(UbMath::c1o36 * (+bcVelocityX1 - bcVelocityX2 - bcVelocityX3));
- case TNW: return (float)(UbMath::c1o36 * (-bcVelocityX1 + bcVelocityX2 + bcVelocityX3));
- default: throw UbException(UB_EXARGS, "unknown direction");
- }
- }
- /*=====================================================================*/
- static const int& getInvertDirection(const int& direction)
- {
+ feq[ZERO] = UbMath::c8o27 * (drho - cu_sq);
+ feq[E] = UbMath::c2o27 * (drho + 3.0 * (vx1)+UbMath::c9o2 * (vx1) * (vx1)-cu_sq);
+ feq[W] = UbMath::c2o27 * (drho + 3.0 * (-vx1) + UbMath::c9o2 * (-vx1) * (-vx1) - cu_sq);
+ feq[N] = UbMath::c2o27 * (drho + 3.0 * (vx2)+UbMath::c9o2 * (vx2) * (vx2)-cu_sq);
+ feq[S] = UbMath::c2o27 * (drho + 3.0 * (-vx2) + UbMath::c9o2 * (-vx2) * (-vx2) - cu_sq);
+ feq[T] = UbMath::c2o27 * (drho + 3.0 * (vx3)+UbMath::c9o2 * (vx3) * (vx3)-cu_sq);
+ feq[B] = UbMath::c2o27 * (drho + 3.0 * (-vx3) + UbMath::c9o2 * (-vx3) * (-vx3) - cu_sq);
+ feq[NE] = UbMath::c1o54 * (drho + 3.0 * (vx1 + vx2) + UbMath::c9o2 * (vx1 + vx2) * (vx1 + vx2) - cu_sq);
+ feq[SW] = UbMath::c1o54 * (drho + 3.0 * (-vx1 - vx2) + UbMath::c9o2 * (-vx1 - vx2) * (-vx1 - vx2) - cu_sq);
+ feq[SE] = UbMath::c1o54 * (drho + 3.0 * (vx1 - vx2) + UbMath::c9o2 * (vx1 - vx2) * (vx1 - vx2) - cu_sq);
+ feq[NW] = UbMath::c1o54 * (drho + 3.0 * (-vx1 + vx2) + UbMath::c9o2 * (-vx1 + vx2) * (-vx1 + vx2) - cu_sq);
+ feq[TE] = UbMath::c1o54 * (drho + 3.0 * (vx1 + vx3) + UbMath::c9o2 * (vx1 + vx3) * (vx1 + vx3) - cu_sq);
+ feq[BW] = UbMath::c1o54 * (drho + 3.0 * (-vx1 - vx3) + UbMath::c9o2 * (-vx1 - vx3) * (-vx1 - vx3) - cu_sq);
+ feq[BE] = UbMath::c1o54 * (drho + 3.0 * (vx1 - vx3) + UbMath::c9o2 * (vx1 - vx3) * (vx1 - vx3) - cu_sq);
+ feq[TW] = UbMath::c1o54 * (drho + 3.0 * (-vx1 + vx3) + UbMath::c9o2 * (-vx1 + vx3) * (-vx1 + vx3) - cu_sq);
+ feq[TN] = UbMath::c1o54 * (drho + 3.0 * (vx2 + vx3) + UbMath::c9o2 * (vx2 + vx3) * (vx2 + vx3) - cu_sq);
+ feq[BS] = UbMath::c1o54 * (drho + 3.0 * (-vx2 - vx3) + UbMath::c9o2 * (-vx2 - vx3) * (-vx2 - vx3) - cu_sq);
+ feq[BN] = UbMath::c1o54 * (drho + 3.0 * (vx2 - vx3) + UbMath::c9o2 * (vx2 - vx3) * (vx2 - vx3) - cu_sq);
+ feq[TS] = UbMath::c1o54 * (drho + 3.0 * (-vx2 + vx3) + UbMath::c9o2 * (-vx2 + vx3) * (-vx2 + vx3) - cu_sq);
+ feq[TNE] = UbMath::c1o216 * (drho + 3.0 * (vx1 + vx2 + vx3) + UbMath::c9o2 * (vx1 + vx2 + vx3) * (vx1 + vx2 + vx3) - cu_sq);
+ feq[BSW] = UbMath::c1o216 * (drho + 3.0 * (-vx1 - vx2 - vx3) + UbMath::c9o2 * (-vx1 - vx2 - vx3) * (-vx1 - vx2 - vx3) - cu_sq);
+ feq[BNE] = UbMath::c1o216 * (drho + 3.0 * (vx1 + vx2 - vx3) + UbMath::c9o2 * (vx1 + vx2 - vx3) * (vx1 + vx2 - vx3) - cu_sq);
+ feq[TSW] = UbMath::c1o216 * (drho + 3.0 * (-vx1 - vx2 + vx3) + UbMath::c9o2 * (-vx1 - vx2 + vx3) * (-vx1 - vx2 + vx3) - cu_sq);
+ feq[TSE] = UbMath::c1o216 * (drho + 3.0 * (vx1 - vx2 + vx3) + UbMath::c9o2 * (vx1 - vx2 + vx3) * (vx1 - vx2 + vx3) - cu_sq);
+ feq[BNW] = UbMath::c1o216 * (drho + 3.0 * (-vx1 + vx2 - vx3) + UbMath::c9o2 * (-vx1 + vx2 - vx3) * (-vx1 + vx2 - vx3) - cu_sq);
+ feq[BSE] = UbMath::c1o216 * (drho + 3.0 * (vx1 - vx2 - vx3) + UbMath::c9o2 * (vx1 - vx2 - vx3) * (vx1 - vx2 - vx3) - cu_sq);
+ feq[TNW] = UbMath::c1o216 * (drho + 3.0 * (-vx1 + vx2 + vx3) + UbMath::c9o2 * (-vx1 + vx2 + vx3) * (-vx1 + vx2 + vx3) - cu_sq);
+ }
+ //////////////////////////////////////////////////////////////////////////
+ static inline float getBoundaryVelocityForDirection(const int& direction, const float& bcVelocityX1, const float& bcVelocityX2, const float& bcVelocityX3)
+ {
+ switch (direction)
+ {
+ case E: return (float)(UbMath::c4o9 * (+bcVelocityX1));
+ case W: return (float)(UbMath::c4o9 * (-bcVelocityX1));
+ case N: return (float)(UbMath::c4o9 * (+bcVelocityX2));
+ case S: return (float)(UbMath::c4o9 * (-bcVelocityX2));
+ case T: return (float)(UbMath::c4o9 * (+bcVelocityX3));
+ case B: return (float)(UbMath::c4o9 * (-bcVelocityX3));
+ case NE: return (float)(UbMath::c1o9 * (+bcVelocityX1 + bcVelocityX2));
+ case SW: return (float)(UbMath::c1o9 * (-bcVelocityX1 - bcVelocityX2));
+ case SE: return (float)(UbMath::c1o9 * (+bcVelocityX1 - bcVelocityX2));
+ case NW: return (float)(UbMath::c1o9 * (-bcVelocityX1 + bcVelocityX2));
+ case TE: return (float)(UbMath::c1o9 * (+bcVelocityX1 + bcVelocityX3));
+ case BW: return (float)(UbMath::c1o9 * (-bcVelocityX1 - bcVelocityX3));
+ case BE: return (float)(UbMath::c1o9 * (+bcVelocityX1 - bcVelocityX3));
+ case TW: return (float)(UbMath::c1o9 * (-bcVelocityX1 + bcVelocityX3));
+ case TN: return (float)(UbMath::c1o9 * (+bcVelocityX2 + bcVelocityX3));
+ case BS: return (float)(UbMath::c1o9 * (-bcVelocityX2 - bcVelocityX3));
+ case BN: return (float)(UbMath::c1o9 * (+bcVelocityX2 - bcVelocityX3));
+ case TS: return (float)(UbMath::c1o9 * (-bcVelocityX2 + bcVelocityX3));
+ case TNE: return (float)(UbMath::c1o36 * (+bcVelocityX1 + bcVelocityX2 + bcVelocityX3));
+ case BSW: return (float)(UbMath::c1o36 * (-bcVelocityX1 - bcVelocityX2 - bcVelocityX3));
+ case BNE: return (float)(UbMath::c1o36 * (+bcVelocityX1 + bcVelocityX2 - bcVelocityX3));
+ case TSW: return (float)(UbMath::c1o36 * (-bcVelocityX1 - bcVelocityX2 + bcVelocityX3));
+ case TSE: return (float)(UbMath::c1o36 * (+bcVelocityX1 - bcVelocityX2 + bcVelocityX3));
+ case BNW: return (float)(UbMath::c1o36 * (-bcVelocityX1 + bcVelocityX2 - bcVelocityX3));
+ case BSE: return (float)(UbMath::c1o36 * (+bcVelocityX1 - bcVelocityX2 - bcVelocityX3));
+ case TNW: return (float)(UbMath::c1o36 * (-bcVelocityX1 + bcVelocityX2 + bcVelocityX3));
+ default: throw UbException(UB_EXARGS, "unknown direction");
+ }
+ }
+ /*=====================================================================*/
+ static const int& getInvertDirection(const int& direction)
+ {
#ifdef _DEBUG
- if (direction<STARTDIR || direction>ENDDIR)
- throw UbException(UB_EXARGS, "unknown direction");
+ if (direction<STARTDIR || direction>ENDDIR)
+ throw UbException(UB_EXARGS, "unknown direction");
#endif
- return INVDIR[direction];
- }
- /*=====================================================================*/
- static void getLBMDirections(std::vector<int>& dirs, bool onlyLBdirs = false)
- {
- std::vector<int> D3Q27Dirs;
- if (onlyLBdirs) /*FSTARTDIR->FENDDIR*/
- {
- dirs.resize(FENDDIR + 1);
- for (int dir = FSTARTDIR; dir <= FENDDIR; ++dir)
- dirs[dir] = dir;
- }
- else /*STARTDIR->ENDDIR*/
- {
- dirs.resize(ENDDIR + 1);
- for (int dir = STARTDIR; dir <= ENDDIR; ++dir)
- dirs[dir] = dir;
- }
- }
- //////////////////////////////////////////////////////////////////////////
- static std::vector<int> getEX(const int& exn)
- {
- std::vector<int> ex;
- ex.resize(ENDDIR + 1);
- switch (exn)
- {
- case 1:
- for (int dir = STARTDIR; dir < ENDDIR; ++dir)
- ex[dir] = DX1[dir];
- break;
- case 2:
- for (int dir = STARTDIR; dir < ENDDIR; ++dir)
- ex[dir] = DX2[dir];
- break;
- case 3:
- for (int dir = STARTDIR; dir < ENDDIR; ++dir)
- ex[dir] = DX3[dir];
- break;
- }
- return ex;
- }
- //////////////////////////////////////////////////////////////////////////
- static inline void calcDistanceToNeighbors(std::vector<double>& distNeigh, const double& deltaX1)
- {
- //distNeigh.resize(FENDDIR+1, UbMath::sqrt2*deltaX1);
+ return INVDIR[direction];
+ }
+ /*=====================================================================*/
+ static void getLBMDirections(std::vector<int>& dirs, bool onlyLBdirs = false)
+ {
+ std::vector<int> D3Q27Dirs;
+ if (onlyLBdirs) /*FSTARTDIR->FENDDIR*/
+ {
+ dirs.resize(FENDDIR + 1);
+ for (int dir = FSTARTDIR; dir <= FENDDIR; ++dir)
+ dirs[dir] = dir;
+ }
+ else /*STARTDIR->ENDDIR*/
+ {
+ dirs.resize(ENDDIR + 1);
+ for (int dir = STARTDIR; dir <= ENDDIR; ++dir)
+ dirs[dir] = dir;
+ }
+ }
+ //////////////////////////////////////////////////////////////////////////
+ static std::vector<int> getEX(const int& exn)
+ {
+ std::vector<int> ex;
+ ex.resize(ENDDIR + 1);
+ switch (exn)
+ {
+ case 1:
+ for (int dir = STARTDIR; dir < ENDDIR; ++dir)
+ ex[dir] = DX1[dir];
+ break;
+ case 2:
+ for (int dir = STARTDIR; dir < ENDDIR; ++dir)
+ ex[dir] = DX2[dir];
+ break;
+ case 3:
+ for (int dir = STARTDIR; dir < ENDDIR; ++dir)
+ ex[dir] = DX3[dir];
+ break;
+ }
+ return ex;
+ }
+ //////////////////////////////////////////////////////////////////////////
+ static inline void calcDistanceToNeighbors(std::vector<double>& distNeigh, const double& deltaX1)
+ {
+ //distNeigh.resize(FENDDIR+1, UbMath::sqrt2*deltaX1);
- distNeigh[E] = distNeigh[W] = distNeigh[N] = deltaX1;
- distNeigh[S] = distNeigh[T] = distNeigh[B] = deltaX1;
- distNeigh[NE] = distNeigh[NW] = distNeigh[SW] = distNeigh[SE] = UbMath::sqrt2 * deltaX1;
- distNeigh[TE] = distNeigh[TN] = distNeigh[TW] = distNeigh[TS] = UbMath::sqrt2 * deltaX1;
- distNeigh[BE] = distNeigh[BN] = distNeigh[BW] = distNeigh[BS] = UbMath::sqrt2 * deltaX1;
- distNeigh[TNE] = distNeigh[TNW] = distNeigh[TSE] = distNeigh[TSW] = UbMath::sqrt3 * deltaX1;
- distNeigh[BNE] = distNeigh[BNW] = distNeigh[BSE] = distNeigh[BSW] = UbMath::sqrt3 * deltaX1;
- }
- //////////////////////////////////////////////////////////////////////////
- static inline void calcDistanceToNeighbors(std::vector<double>& distNeigh, const double& deltaX1, const double& deltaX2, const double& deltaX3)
- {
- //distNeigh.resize(FENDDIR+1, UbMath::sqrt2*deltaX1);
- distNeigh[E] = distNeigh[W] = deltaX1;
- distNeigh[N] = distNeigh[S] = deltaX2;
- distNeigh[T] = distNeigh[B] = deltaX3;
- distNeigh[NE] = distNeigh[NW] = distNeigh[SW] = distNeigh[SE] = sqrt(deltaX1 * deltaX1 + deltaX2 * deltaX2);
- distNeigh[TE] = distNeigh[TN] = distNeigh[TW] = distNeigh[TS] = sqrt(deltaX1 * deltaX1 + deltaX3 * deltaX3);
- distNeigh[BE] = distNeigh[BN] = distNeigh[BW] = distNeigh[BS] = sqrt(deltaX2 * deltaX2 + deltaX3 * deltaX3);
- distNeigh[TNE] = distNeigh[TNW] = distNeigh[TSE] = distNeigh[TSW] = sqrt(deltaX1 * deltaX1 + deltaX2 * deltaX2 + deltaX3 * deltaX3);
- distNeigh[BNE] = distNeigh[BNW] = distNeigh[BSE] = distNeigh[BSW] = sqrt(deltaX1 * deltaX1 + deltaX2 * deltaX2 + deltaX3 * deltaX3);
- }
- //////////////////////////////////////////////////////////////////////////
- static inline void initRayVectors(double* const& rayX1, double* const& rayX2, double* const& rayX3)
- {
- int fdir;
- double c1oS2 = UbMath::one_over_sqrt2;
- double c1oS3 = UbMath::one_over_sqrt3;
- fdir = E; rayX1[fdir] = 1.0; rayX2[fdir] = 0.0; rayX3[fdir] = 0.0;
- fdir = W; rayX1[fdir] = -1.0; rayX2[fdir] = 0.0; rayX3[fdir] = 0.0;
- fdir = N; rayX1[fdir] = 0.0; rayX2[fdir] = 1.0; rayX3[fdir] = 0.0;
- fdir = S; rayX1[fdir] = 0.0; rayX2[fdir] = -1.0; rayX3[fdir] = 0.0;
- fdir = T; rayX1[fdir] = 0.0; rayX2[fdir] = 0.0; rayX3[fdir] = 1.0;
- fdir = B; rayX1[fdir] = 0.0; rayX2[fdir] = 0.0; rayX3[fdir] = -1.0;
- fdir = NE; rayX1[fdir] = c1oS2; rayX2[fdir] = c1oS2; rayX3[fdir] = 0.0;
- fdir = SW; rayX1[fdir] = -c1oS2; rayX2[fdir] = -c1oS2; rayX3[fdir] = 0.0;
- fdir = SE; rayX1[fdir] = c1oS2; rayX2[fdir] = -c1oS2; rayX3[fdir] = 0.0;
- fdir = NW; rayX1[fdir] = -c1oS2; rayX2[fdir] = c1oS2; rayX3[fdir] = 0.0;
- fdir = TE; rayX1[fdir] = c1oS2; rayX2[fdir] = 0.0; rayX3[fdir] = c1oS2;
- fdir = BW; rayX1[fdir] = -c1oS2; rayX2[fdir] = 0.0; rayX3[fdir] = -c1oS2;
- fdir = BE; rayX1[fdir] = c1oS2; rayX2[fdir] = 0.0; rayX3[fdir] = -c1oS2;
- fdir = TW; rayX1[fdir] = -c1oS2; rayX2[fdir] = 0.0; rayX3[fdir] = c1oS2;
- fdir = TN; rayX1[fdir] = 0.0; rayX2[fdir] = c1oS2; rayX3[fdir] = c1oS2;
- fdir = BS; rayX1[fdir] = 0.0; rayX2[fdir] = -c1oS2; rayX3[fdir] = -c1oS2;
- fdir = BN; rayX1[fdir] = 0.0; rayX2[fdir] = c1oS2; rayX3[fdir] = -c1oS2;
- fdir = TS; rayX1[fdir] = 0.0; rayX2[fdir] = -c1oS2; rayX3[fdir] = c1oS2;
- fdir = TNE; rayX1[fdir] = c1oS3; rayX2[fdir] = c1oS3; rayX3[fdir] = c1oS3;
- fdir = TNW; rayX1[fdir] = -c1oS3; rayX2[fdir] = c1oS3; rayX3[fdir] = c1oS3;
- fdir = TSE; rayX1[fdir] = c1oS3; rayX2[fdir] = -c1oS3; rayX3[fdir] = c1oS3;
- fdir = TSW; rayX1[fdir] = -c1oS3; rayX2[fdir] = -c1oS3; rayX3[fdir] = c1oS3;
- fdir = BNE; rayX1[fdir] = c1oS3; rayX2[fdir] = c1oS3; rayX3[fdir] = -c1oS3;
- fdir = BNW; rayX1[fdir] = -c1oS3; rayX2[fdir] = c1oS3; rayX3[fdir] = -c1oS3;
- fdir = BSE; rayX1[fdir] = c1oS3; rayX2[fdir] = -c1oS3; rayX3[fdir] = -c1oS3;
- fdir = BSW; rayX1[fdir] = -c1oS3; rayX2[fdir] = -c1oS3; rayX3[fdir] = -c1oS3;
- }
- //////////////////////////////////////////////////////////////////////////
- static inline LBMReal calcPress(const LBMReal* const f, LBMReal rho, LBMReal vx1, LBMReal vx2, LBMReal vx3)
- {
- LBMReal op = 1.0;
- return ((f[E] + f[W] + f[N] + f[S] + f[T] + f[B] + 2. * (f[NE] + f[SW] + f[SE] + f[NW] + f[TE] + f[BW] + f[BE] + f[TW] + f[TN] + f[BS] + f[BN] + f[TS]) +
- 3. * (f[TNE] + f[TSW] + f[TSE] + f[TNW] + f[BNE] + f[BSW] + f[BSE] + f[BNW]) - (vx1 * vx1 + vx2 * vx2 + vx3 * vx3)) * (1 - 0.5 * op) + op * 0.5 * (rho)) * UbMath::c1o3;
+ distNeigh[E] = distNeigh[W] = distNeigh[N] = deltaX1;
+ distNeigh[S] = distNeigh[T] = distNeigh[B] = deltaX1;
+ distNeigh[NE] = distNeigh[NW] = distNeigh[SW] = distNeigh[SE] = UbMath::sqrt2 * deltaX1;
+ distNeigh[TE] = distNeigh[TN] = distNeigh[TW] = distNeigh[TS] = UbMath::sqrt2 * deltaX1;
+ distNeigh[BE] = distNeigh[BN] = distNeigh[BW] = distNeigh[BS] = UbMath::sqrt2 * deltaX1;
+ distNeigh[TNE] = distNeigh[TNW] = distNeigh[TSE] = distNeigh[TSW] = UbMath::sqrt3 * deltaX1;
+ distNeigh[BNE] = distNeigh[BNW] = distNeigh[BSE] = distNeigh[BSW] = UbMath::sqrt3 * deltaX1;
+ }
+ //////////////////////////////////////////////////////////////////////////
+ static inline void calcDistanceToNeighbors(std::vector<double>& distNeigh, const double& deltaX1, const double& deltaX2, const double& deltaX3)
+ {
+ //distNeigh.resize(FENDDIR+1, UbMath::sqrt2*deltaX1);
+ distNeigh[E] = distNeigh[W] = deltaX1;
+ distNeigh[N] = distNeigh[S] = deltaX2;
+ distNeigh[T] = distNeigh[B] = deltaX3;
+ distNeigh[NE] = distNeigh[NW] = distNeigh[SW] = distNeigh[SE] = sqrt(deltaX1 * deltaX1 + deltaX2 * deltaX2);
+ distNeigh[TE] = distNeigh[TN] = distNeigh[TW] = distNeigh[TS] = sqrt(deltaX1 * deltaX1 + deltaX3 * deltaX3);
+ distNeigh[BE] = distNeigh[BN] = distNeigh[BW] = distNeigh[BS] = sqrt(deltaX2 * deltaX2 + deltaX3 * deltaX3);
+ distNeigh[TNE] = distNeigh[TNW] = distNeigh[TSE] = distNeigh[TSW] = sqrt(deltaX1 * deltaX1 + deltaX2 * deltaX2 + deltaX3 * deltaX3);
+ distNeigh[BNE] = distNeigh[BNW] = distNeigh[BSE] = distNeigh[BSW] = sqrt(deltaX1 * deltaX1 + deltaX2 * deltaX2 + deltaX3 * deltaX3);
+ }
+ //////////////////////////////////////////////////////////////////////////
+ static inline void initRayVectors(double* const& rayX1, double* const& rayX2, double* const& rayX3)
+ {
+ int fdir;
+ double c1oS2 = UbMath::one_over_sqrt2;
+ double c1oS3 = UbMath::one_over_sqrt3;
+ fdir = E; rayX1[fdir] = 1.0; rayX2[fdir] = 0.0; rayX3[fdir] = 0.0;
+ fdir = W; rayX1[fdir] = -1.0; rayX2[fdir] = 0.0; rayX3[fdir] = 0.0;
+ fdir = N; rayX1[fdir] = 0.0; rayX2[fdir] = 1.0; rayX3[fdir] = 0.0;
+ fdir = S; rayX1[fdir] = 0.0; rayX2[fdir] = -1.0; rayX3[fdir] = 0.0;
+ fdir = T; rayX1[fdir] = 0.0; rayX2[fdir] = 0.0; rayX3[fdir] = 1.0;
+ fdir = B; rayX1[fdir] = 0.0; rayX2[fdir] = 0.0; rayX3[fdir] = -1.0;
+ fdir = NE; rayX1[fdir] = c1oS2; rayX2[fdir] = c1oS2; rayX3[fdir] = 0.0;
+ fdir = SW; rayX1[fdir] = -c1oS2; rayX2[fdir] = -c1oS2; rayX3[fdir] = 0.0;
+ fdir = SE; rayX1[fdir] = c1oS2; rayX2[fdir] = -c1oS2; rayX3[fdir] = 0.0;
+ fdir = NW; rayX1[fdir] = -c1oS2; rayX2[fdir] = c1oS2; rayX3[fdir] = 0.0;
+ fdir = TE; rayX1[fdir] = c1oS2; rayX2[fdir] = 0.0; rayX3[fdir] = c1oS2;
+ fdir = BW; rayX1[fdir] = -c1oS2; rayX2[fdir] = 0.0; rayX3[fdir] = -c1oS2;
+ fdir = BE; rayX1[fdir] = c1oS2; rayX2[fdir] = 0.0; rayX3[fdir] = -c1oS2;
+ fdir = TW; rayX1[fdir] = -c1oS2; rayX2[fdir] = 0.0; rayX3[fdir] = c1oS2;
+ fdir = TN; rayX1[fdir] = 0.0; rayX2[fdir] = c1oS2; rayX3[fdir] = c1oS2;
+ fdir = BS; rayX1[fdir] = 0.0; rayX2[fdir] = -c1oS2; rayX3[fdir] = -c1oS2;
+ fdir = BN; rayX1[fdir] = 0.0; rayX2[fdir] = c1oS2; rayX3[fdir] = -c1oS2;
+ fdir = TS; rayX1[fdir] = 0.0; rayX2[fdir] = -c1oS2; rayX3[fdir] = c1oS2;
+ fdir = TNE; rayX1[fdir] = c1oS3; rayX2[fdir] = c1oS3; rayX3[fdir] = c1oS3;
+ fdir = TNW; rayX1[fdir] = -c1oS3; rayX2[fdir] = c1oS3; rayX3[fdir] = c1oS3;
+ fdir = TSE; rayX1[fdir] = c1oS3; rayX2[fdir] = -c1oS3; rayX3[fdir] = c1oS3;
+ fdir = TSW; rayX1[fdir] = -c1oS3; rayX2[fdir] = -c1oS3; rayX3[fdir] = c1oS3;
+ fdir = BNE; rayX1[fdir] = c1oS3; rayX2[fdir] = c1oS3; rayX3[fdir] = -c1oS3;
+ fdir = BNW; rayX1[fdir] = -c1oS3; rayX2[fdir] = c1oS3; rayX3[fdir] = -c1oS3;
+ fdir = BSE; rayX1[fdir] = c1oS3; rayX2[fdir] = -c1oS3; rayX3[fdir] = -c1oS3;
+ fdir = BSW; rayX1[fdir] = -c1oS3; rayX2[fdir] = -c1oS3; rayX3[fdir] = -c1oS3;
+ }
+ //////////////////////////////////////////////////////////////////////////
+ static inline LBMReal calcPress(const LBMReal* const f, LBMReal rho, LBMReal vx1, LBMReal vx2, LBMReal vx3)
+ {
+ LBMReal op = 1.0;
+ return ((f[E] + f[W] + f[N] + f[S] + f[T] + f[B] + 2. * (f[NE] + f[SW] + f[SE] + f[NW] + f[TE] + f[BW] + f[BE] + f[TW] + f[TN] + f[BS] + f[BN] + f[TS]) +
+ 3. * (f[TNE] + f[TSW] + f[TSE] + f[TNW] + f[BNE] + f[BSW] + f[BSE] + f[BNW]) - (vx1 * vx1 + vx2 * vx2 + vx3 * vx3)) * (1 - 0.5 * op) + op * 0.5 * (rho)) * UbMath::c1o3;
- }
- //////////////////////////////////////////////////////////////////////////
- static inline LBMReal getShearRate(const LBMReal* const f, LBMReal collFactorF)
- {
- LBMReal mfcbb = f[E];
- LBMReal mfbcb = f[N];
- LBMReal mfbbc = f[T];
- LBMReal mfccb = f[NE];
- LBMReal mfacb = f[NW];
- LBMReal mfcbc = f[TE];
- LBMReal mfabc = f[TW];
- LBMReal mfbcc = f[TN];
- LBMReal mfbac = f[TS];
- LBMReal mfccc = f[TNE];
- LBMReal mfacc = f[TNW];
- LBMReal mfcac = f[TSE];
- LBMReal mfaac = f[TSW];
+ }
+ //////////////////////////////////////////////////////////////////////////
+ static inline LBMReal getShearRate(const LBMReal* const f, LBMReal collFactorF)
+ {
+ LBMReal mfcbb = f[E];
+ LBMReal mfbcb = f[N];
+ LBMReal mfbbc = f[T];
+ LBMReal mfccb = f[NE];
+ LBMReal mfacb = f[NW];
+ LBMReal mfcbc = f[TE];
+ LBMReal mfabc = f[TW];
+ LBMReal mfbcc = f[TN];
+ LBMReal mfbac = f[TS];
+ LBMReal mfccc = f[TNE];
+ LBMReal mfacc = f[TNW];
+ LBMReal mfcac = f[TSE];
+ LBMReal mfaac = f[TSW];
- LBMReal mfabb = f[W];
- LBMReal mfbab = f[S];
- LBMReal mfbba = f[B];
- LBMReal mfaab = f[SW];
- LBMReal mfcab = f[SE];
- LBMReal mfaba = f[BW];
- LBMReal mfcba = f[BE];
- LBMReal mfbaa = f[BS];
- LBMReal mfbca = f[BN];
- LBMReal mfaaa = f[BSW];
- LBMReal mfcaa = f[BSE];
- LBMReal mfaca = f[BNW];
- LBMReal mfcca = f[BNE];
+ LBMReal mfabb = f[W];
+ LBMReal mfbab = f[S];
+ LBMReal mfbba = f[B];
+ LBMReal mfaab = f[SW];
+ LBMReal mfcab = f[SE];
+ LBMReal mfaba = f[BW];
+ LBMReal mfcba = f[BE];
+ LBMReal mfbaa = f[BS];
+ LBMReal mfbca = f[BN];
+ LBMReal mfaaa = f[BSW];
+ LBMReal mfcaa = f[BSE];
+ LBMReal mfaca = f[BNW];
+ LBMReal mfcca = f[BNE];
- LBMReal mfbbb = f[ZERO];
+ LBMReal mfbbb = f[ZERO];
- LBMReal m0, m1, m2;
+ LBMReal m0, m1, m2;
- LBMReal rho = (mfaaa + mfaac + mfaca + mfcaa + mfacc + mfcac + mfccc + mfcca)
- + (mfaab + mfacb + mfcab + mfccb) + (mfaba + mfabc + mfcba + mfcbc) + (mfbaa + mfbac + mfbca + mfbcc)
- + (mfabb + mfcbb) + (mfbab + mfbcb) + (mfbba + mfbbc) + mfbbb;
+ LBMReal rho = (mfaaa + mfaac + mfaca + mfcaa + mfacc + mfcac + mfccc + mfcca)
+ + (mfaab + mfacb + mfcab + mfccb) + (mfaba + mfabc + mfcba + mfcbc) + (mfbaa + mfbac + mfbca + mfbcc)
+ + (mfabb + mfcbb) + (mfbab + mfbcb) + (mfbba + mfbbc) + mfbbb;
- LBMReal vvx = ((((mfccc - mfaaa) + (mfcac - mfaca)) + ((mfcaa - mfacc) + (mfcca - mfaac))) +
- (((mfcba - mfabc) + (mfcbc - mfaba)) + ((mfcab - mfacb) + (mfccb - mfaab))) +
- (mfcbb - mfabb));
- LBMReal vvy = ((((mfccc - mfaaa) + (mfaca - mfcac)) + ((mfacc - mfcaa) + (mfcca - mfaac))) +
- (((mfbca - mfbac) + (mfbcc - mfbaa)) + ((mfacb - mfcab) + (mfccb - mfaab))) +
- (mfbcb - mfbab));
- LBMReal vvz = ((((mfccc - mfaaa) + (mfcac - mfaca)) + ((mfacc - mfcaa) + (mfaac - mfcca))) +
- (((mfbac - mfbca) + (mfbcc - mfbaa)) + ((mfabc - mfcba) + (mfcbc - mfaba))) +
- (mfbbc - mfbba));
+ LBMReal vvx = ((((mfccc - mfaaa) + (mfcac - mfaca)) + ((mfcaa - mfacc) + (mfcca - mfaac))) +
+ (((mfcba - mfabc) + (mfcbc - mfaba)) + ((mfcab - mfacb) + (mfccb - mfaab))) +
+ (mfcbb - mfabb));
+ LBMReal vvy = ((((mfccc - mfaaa) + (mfaca - mfcac)) + ((mfacc - mfcaa) + (mfcca - mfaac))) +
+ (((mfbca - mfbac) + (mfbcc - mfbaa)) + ((mfacb - mfcab) + (mfccb - mfaab))) +
+ (mfbcb - mfbab));
+ LBMReal vvz = ((((mfccc - mfaaa) + (mfcac - mfaca)) + ((mfacc - mfcaa) + (mfaac - mfcca))) +
+ (((mfbac - mfbca) + (mfbcc - mfbaa)) + ((mfabc - mfcba) + (mfcbc - mfaba))) +
+ (mfbbc - mfbba));
- //LBMReal OxxPyyPzz = 1.;
+ //LBMReal OxxPyyPzz = 1.;
- LBMReal oMdrho;
+ LBMReal oMdrho;
- oMdrho = mfccc + mfaaa;
- m0 = mfaca + mfcac;
- m1 = mfacc + mfcaa;
- m2 = mfaac + mfcca;
- oMdrho += m0;
- m1 += m2;
- oMdrho += m1;
- m0 = mfbac + mfbca;
- m1 = mfbaa + mfbcc;
- m0 += m1;
- m1 = mfabc + mfcba;
- m2 = mfaba + mfcbc;
- m1 += m2;
- m0 += m1;
- m1 = mfacb + mfcab;
- m2 = mfaab + mfccb;
- m1 += m2;
- m0 += m1;
- oMdrho += m0;
- m0 = mfabb + mfcbb;
- m1 = mfbab + mfbcb;
- m2 = mfbba + mfbbc;
- m0 += m1 + m2;
- m0 += mfbbb; //hat gefehlt
- oMdrho = 1. - (oMdrho + m0);
+ oMdrho = mfccc + mfaaa;
+ m0 = mfaca + mfcac;
+ m1 = mfacc + mfcaa;
+ m2 = mfaac + mfcca;
+ oMdrho += m0;
+ m1 += m2;
+ oMdrho += m1;
+ m0 = mfbac + mfbca;
+ m1 = mfbaa + mfbcc;
+ m0 += m1;
+ m1 = mfabc + mfcba;
+ m2 = mfaba + mfcbc;
+ m1 += m2;
+ m0 += m1;
+ m1 = mfacb + mfcab;
+ m2 = mfaab + mfccb;
+ m1 += m2;
+ m0 += m1;
+ oMdrho += m0;
+ m0 = mfabb + mfcbb;
+ m1 = mfbab + mfbcb;
+ m2 = mfbba + mfbbc;
+ m0 += m1 + m2;
+ m0 += mfbbb; //hat gefehlt
+ oMdrho = 1. - (oMdrho + m0);
- LBMReal vx2;
- LBMReal vy2;
- LBMReal vz2;
- vx2 = vvx * vvx;
- vy2 = vvy * vvy;
- vz2 = vvz * vvz;
- ////////////////////////////////////////////////////////////////////////////////////
- //Hin
- ////////////////////////////////////////////////////////////////////////////////////
- // mit 1/36, 1/9, 1/36, 1/9, 4/9, 1/9, 1/36, 1/9, 1/36 Konditionieren
- ////////////////////////////////////////////////////////////////////////////////////
- // Z - Dir
- m2 = mfaaa + mfaac;
- m1 = mfaac - mfaaa;
- m0 = m2 + mfaab;
- mfaaa = m0;
- m0 += UbMath::c1o36 * oMdrho;
- mfaab = m1 - m0 * vvz;
- mfaac = m2 - 2. * m1 * vvz + vz2 * m0;
- ////////////////////////////////////////////////////////////////////////////////////
- m2 = mfaba + mfabc;
- m1 = mfabc - mfaba;
- m0 = m2 + mfabb;
- mfaba = m0;
- m0 += UbMath::c1o9 * oMdrho;
- mfabb = m1 - m0 * vvz;
- mfabc = m2 - 2. * m1 * vvz + vz2 * m0;
- ////////////////////////////////////////////////////////////////////////////////////
- m2 = mfaca + mfacc;
- m1 = mfacc - mfaca;
- m0 = m2 + mfacb;
- mfaca = m0;
- m0 += UbMath::c1o36 * oMdrho;
- mfacb = m1 - m0 * vvz;
- mfacc = m2 - 2. * m1 * vvz + vz2 * m0;
- ////////////////////////////////////////////////////////////////////////////////////
- ////////////////////////////////////////////////////////////////////////////////////
- m2 = mfbaa + mfbac;
- m1 = mfbac - mfbaa;
- m0 = m2 + mfbab;
- mfbaa = m0;
- m0 += UbMath::c1o9 * oMdrho;
- mfbab = m1 - m0 * vvz;
- mfbac = m2 - 2. * m1 * vvz + vz2 * m0;
- ////////////////////////////////////////////////////////////////////////////////////
- m2 = mfbba + mfbbc;
- m1 = mfbbc - mfbba;
- m0 = m2 + mfbbb;
- mfbba = m0;
- m0 += UbMath::c4o9 * oMdrho;
- mfbbb = m1 - m0 * vvz;
- mfbbc = m2 - 2. * m1 * vvz + vz2 * m0;
- ////////////////////////////////////////////////////////////////////////////////////
- m2 = mfbca + mfbcc;
- m1 = mfbcc - mfbca;
- m0 = m2 + mfbcb;
- mfbca = m0;
- m0 += UbMath::c1o9 * oMdrho;
- mfbcb = m1 - m0 * vvz;
- mfbcc = m2 - 2. * m1 * vvz + vz2 * m0;
- ////////////////////////////////////////////////////////////////////////////////////
- ////////////////////////////////////////////////////////////////////////////////////
- m2 = mfcaa + mfcac;
- m1 = mfcac - mfcaa;
- m0 = m2 + mfcab;
- mfcaa = m0;
- m0 += UbMath::c1o36 * oMdrho;
- mfcab = m1 - m0 * vvz;
- mfcac = m2 - 2. * m1 * vvz + vz2 * m0;
- ////////////////////////////////////////////////////////////////////////////////////
- m2 = mfcba + mfcbc;
- m1 = mfcbc - mfcba;
- m0 = m2 + mfcbb;
- mfcba = m0;
- m0 += UbMath::c1o9 * oMdrho;
- mfcbb = m1 - m0 * vvz;
- mfcbc = m2 - 2. * m1 * vvz + vz2 * m0;
- ////////////////////////////////////////////////////////////////////////////////////
- m2 = mfcca + mfccc;
- m1 = mfccc - mfcca;
- m0 = m2 + mfccb;
- mfcca = m0;
- m0 += UbMath::c1o36 * oMdrho;
- mfccb = m1 - m0 * vvz;
- mfccc = m2 - 2. * m1 * vvz + vz2 * m0;
- ////////////////////////////////////////////////////////////////////////////////////
- ////////////////////////////////////////////////////////////////////////////////////
- // mit 1/6, 0, 1/18, 2/3, 0, 2/9, 1/6, 0, 1/18 Konditionieren
- ////////////////////////////////////////////////////////////////////////////////////
- // Y - Dir
- m2 = mfaaa + mfaca;
- m1 = mfaca - mfaaa;
- m0 = m2 + mfaba;
- mfaaa = m0;
- m0 += UbMath::c1o6 * oMdrho;
- mfaba = m1 - m0 * vvy;
- mfaca = m2 - 2. * m1 * vvy + vy2 * m0;
- ////////////////////////////////////////////////////////////////////////////////////
- m2 = mfaab + mfacb;
- m1 = mfacb - mfaab;
- m0 = m2 + mfabb;
- mfaab = m0;
- mfabb = m1 - m0 * vvy;
- mfacb = m2 - 2. * m1 * vvy + vy2 * m0;
- ////////////////////////////////////////////////////////////////////////////////////
- m2 = mfaac + mfacc;
- m1 = mfacc - mfaac;
- m0 = m2 + mfabc;
- mfaac = m0;
- m0 += UbMath::c1o18 * oMdrho;
- mfabc = m1 - m0 * vvy;
- mfacc = m2 - 2. * m1 * vvy + vy2 * m0;
- ////////////////////////////////////////////////////////////////////////////////////
- ////////////////////////////////////////////////////////////////////////////////////
- m2 = mfbaa + mfbca;
- m1 = mfbca - mfbaa;
- m0 = m2 + mfbba;
- mfbaa = m0;
- m0 += UbMath::c2o3 * oMdrho;
- mfbba = m1 - m0 * vvy;
- mfbca = m2 - 2. * m1 * vvy + vy2 * m0;
- ////////////////////////////////////////////////////////////////////////////////////
- m2 = mfbab + mfbcb;
- m1 = mfbcb - mfbab;
- m0 = m2 + mfbbb;
- mfbab = m0;
- mfbbb = m1 - m0 * vvy;
- mfbcb = m2 - 2. * m1 * vvy + vy2 * m0;
- ////////////////////////////////////////////////////////////////////////////////////
- m2 = mfbac + mfbcc;
- m1 = mfbcc - mfbac;
- m0 = m2 + mfbbc;
- mfbac = m0;
- m0 += UbMath::c2o9 * oMdrho;
- mfbbc = m1 - m0 * vvy;
- mfbcc = m2 - 2. * m1 * vvy + vy2 * m0;
- ////////////////////////////////////////////////////////////////////////////////////
- ////////////////////////////////////////////////////////////////////////////////////
- m2 = mfcaa + mfcca;
- m1 = mfcca - mfcaa;
- m0 = m2 + mfcba;
- mfcaa = m0;
- m0 += UbMath::c1o6 * oMdrho;
- mfcba = m1 - m0 * vvy;
- mfcca = m2 - 2. * m1 * vvy + vy2 * m0;
- ////////////////////////////////////////////////////////////////////////////////////
- m2 = mfcab + mfccb;
- m1 = mfccb - mfcab;
- m0 = m2 + mfcbb;
- mfcab = m0;
- mfcbb = m1 - m0 * vvy;
- mfccb = m2 - 2. * m1 * vvy + vy2 * m0;
- ////////////////////////////////////////////////////////////////////////////////////
- m2 = mfcac + mfccc;
- m1 = mfccc - mfcac;
- m0 = m2 + mfcbc;
- mfcac = m0;
- m0 += UbMath::c1o18 * oMdrho;
- mfcbc = m1 - m0 * vvy;
- mfccc = m2 - 2. * m1 * vvy + vy2 * m0;
- ////////////////////////////////////////////////////////////////////////////////////
- ////////////////////////////////////////////////////////////////////////////////////
- // mit 1, 0, 1/3, 0, 0, 0, 1/3, 0, 1/9 Konditionieren
- ////////////////////////////////////////////////////////////////////////////////////
- // X - Dir
- m2 = mfaaa + mfcaa;
- m1 = mfcaa - mfaaa;
- m0 = m2 + mfbaa;
- mfaaa = m0;
- m0 += 1. * oMdrho;
- mfbaa = m1 - m0 * vvx;
- mfcaa = m2 - 2. * m1 * vvx + vx2 * m0;
- ////////////////////////////////////////////////////////////////////////////////////
- m2 = mfaba + mfcba;
- m1 = mfcba - mfaba;
- m0 = m2 + mfbba;
- mfaba = m0;
- mfbba = m1 - m0 * vvx;
- mfcba = m2 - 2. * m1 * vvx + vx2 * m0;
- ////////////////////////////////////////////////////////////////////////////////////
- m2 = mfaca + mfcca;
- m1 = mfcca - mfaca;
- m0 = m2 + mfbca;
- mfaca = m0;
- m0 += UbMath::c1o3 * oMdrho;
- mfbca = m1 - m0 * vvx;
- mfcca = m2 - 2. * m1 * vvx + vx2 * m0;
- ////////////////////////////////////////////////////////////////////////////////////
- ////////////////////////////////////////////////////////////////////////////////////
- m2 = mfaab + mfcab;
- m1 = mfcab - mfaab;
- m0 = m2 + mfbab;
- mfaab = m0;
- mfbab = m1 - m0 * vvx;
- mfcab = m2 - 2. * m1 * vvx + vx2 * m0;
- ////////////////////////////////////////////////////////////////////////////////////
- m2 = mfabb + mfcbb;
- m1 = mfcbb - mfabb;
- m0 = m2 + mfbbb;
- mfabb = m0;
- mfbbb = m1 - m0 * vvx;
- mfcbb = m2 - 2. * m1 * vvx + vx2 * m0;
- ////////////////////////////////////////////////////////////////////////////////////
- m2 = mfacb + mfccb;
- m1 = mfccb - mfacb;
- m0 = m2 + mfbcb;
- mfacb = m0;
- mfbcb = m1 - m0 * vvx;
- mfccb = m2 - 2. * m1 * vvx + vx2 * m0;
- ////////////////////////////////////////////////////////////////////////////////////
- ////////////////////////////////////////////////////////////////////////////////////
- m2 = mfaac + mfcac;
- m1 = mfcac - mfaac;
- m0 = m2 + mfbac;
- mfaac = m0;
- m0 += UbMath::c1o3 * oMdrho;
- mfbac = m1 - m0 * vvx;
- mfcac = m2 - 2. * m1 * vvx + vx2 * m0;
- ////////////////////////////////////////////////////////////////////////////////////
- m2 = mfabc + mfcbc;
- m1 = mfcbc - mfabc;
- m0 = m2 + mfbbc;
- mfabc = m0;
- mfbbc = m1 - m0 * vvx;
- mfcbc = m2 - 2. * m1 * vvx + vx2 * m0;
- ////////////////////////////////////////////////////////////////////////////////////
- m2 = mfacc + mfccc;
- m1 = mfccc - mfacc;
- m0 = m2 + mfbcc;
- mfacc = m0;
- m0 += UbMath::c1o9 * oMdrho;
- mfbcc = m1 - m0 * vvx;
- mfccc = m2 - 2. * m1 * vvx + vx2 * m0;
- ////////////////////////////////////////////////////////////////////////////////////
- // Cumulants
- ////////////////////////////////////////////////////////////////////////////////////
- LBMReal OxxPyyPzz = 1.; //omega2 or bulk viscosity
- // LBMReal OxyyPxzz = 1.;//-s9;//2+s9;//
- // LBMReal OxyyMxzz = 1.;//2+s9;//
+ LBMReal vx2;
+ LBMReal vy2;
+ LBMReal vz2;
+ vx2 = vvx * vvx;
+ vy2 = vvy * vvy;
+ vz2 = vvz * vvz;
+ ////////////////////////////////////////////////////////////////////////////////////
+ //Hin
+ ////////////////////////////////////////////////////////////////////////////////////
+ // mit 1/36, 1/9, 1/36, 1/9, 4/9, 1/9, 1/36, 1/9, 1/36 Konditionieren
+ ////////////////////////////////////////////////////////////////////////////////////
+ // Z - Dir
+ m2 = mfaaa + mfaac;
+ m1 = mfaac - mfaaa;
+ m0 = m2 + mfaab;
+ mfaaa = m0;
+ m0 += UbMath::c1o36 * oMdrho;
+ mfaab = m1 - m0 * vvz;
+ mfaac = m2 - 2. * m1 * vvz + vz2 * m0;
+ ////////////////////////////////////////////////////////////////////////////////////
+ m2 = mfaba + mfabc;
+ m1 = mfabc - mfaba;
+ m0 = m2 + mfabb;
+ mfaba = m0;
+ m0 += UbMath::c1o9 * oMdrho;
+ mfabb = m1 - m0 * vvz;
+ mfabc = m2 - 2. * m1 * vvz + vz2 * m0;
+ ////////////////////////////////////////////////////////////////////////////////////
+ m2 = mfaca + mfacc;
+ m1 = mfacc - mfaca;
+ m0 = m2 + mfacb;
+ mfaca = m0;
+ m0 += UbMath::c1o36 * oMdrho;
+ mfacb = m1 - m0 * vvz;
+ mfacc = m2 - 2. * m1 * vvz + vz2 * m0;
+ ////////////////////////////////////////////////////////////////////////////////////
+ ////////////////////////////////////////////////////////////////////////////////////
+ m2 = mfbaa + mfbac;
+ m1 = mfbac - mfbaa;
+ m0 = m2 + mfbab;
+ mfbaa = m0;
+ m0 += UbMath::c1o9 * oMdrho;
+ mfbab = m1 - m0 * vvz;
+ mfbac = m2 - 2. * m1 * vvz + vz2 * m0;
+ ////////////////////////////////////////////////////////////////////////////////////
+ m2 = mfbba + mfbbc;
+ m1 = mfbbc - mfbba;
+ m0 = m2 + mfbbb;
+ mfbba = m0;
+ m0 += UbMath::c4o9 * oMdrho;
+ mfbbb = m1 - m0 * vvz;
+ mfbbc = m2 - 2. * m1 * vvz + vz2 * m0;
+ ////////////////////////////////////////////////////////////////////////////////////
+ m2 = mfbca + mfbcc;
+ m1 = mfbcc - mfbca;
+ m0 = m2 + mfbcb;
+ mfbca = m0;
+ m0 += UbMath::c1o9 * oMdrho;
+ mfbcb = m1 - m0 * vvz;
+ mfbcc = m2 - 2. * m1 * vvz + vz2 * m0;
+ ////////////////////////////////////////////////////////////////////////////////////
+ ////////////////////////////////////////////////////////////////////////////////////
+ m2 = mfcaa + mfcac;
+ m1 = mfcac - mfcaa;
+ m0 = m2 + mfcab;
+ mfcaa = m0;
+ m0 += UbMath::c1o36 * oMdrho;
+ mfcab = m1 - m0 * vvz;
+ mfcac = m2 - 2. * m1 * vvz + vz2 * m0;
+ ////////////////////////////////////////////////////////////////////////////////////
+ m2 = mfcba + mfcbc;
+ m1 = mfcbc - mfcba;
+ m0 = m2 + mfcbb;
+ mfcba = m0;
+ m0 += UbMath::c1o9 * oMdrho;
+ mfcbb = m1 - m0 * vvz;
+ mfcbc = m2 - 2. * m1 * vvz + vz2 * m0;
+ ////////////////////////////////////////////////////////////////////////////////////
+ m2 = mfcca + mfccc;
+ m1 = mfccc - mfcca;
+ m0 = m2 + mfccb;
+ mfcca = m0;
+ m0 += UbMath::c1o36 * oMdrho;
+ mfccb = m1 - m0 * vvz;
+ mfccc = m2 - 2. * m1 * vvz + vz2 * m0;
+ ////////////////////////////////////////////////////////////////////////////////////
+ ////////////////////////////////////////////////////////////////////////////////////
+ // mit 1/6, 0, 1/18, 2/3, 0, 2/9, 1/6, 0, 1/18 Konditionieren
+ ////////////////////////////////////////////////////////////////////////////////////
+ // Y - Dir
+ m2 = mfaaa + mfaca;
+ m1 = mfaca - mfaaa;
+ m0 = m2 + mfaba;
+ mfaaa = m0;
+ m0 += UbMath::c1o6 * oMdrho;
+ mfaba = m1 - m0 * vvy;
+ mfaca = m2 - 2. * m1 * vvy + vy2 * m0;
+ ////////////////////////////////////////////////////////////////////////////////////
+ m2 = mfaab + mfacb;
+ m1 = mfacb - mfaab;
+ m0 = m2 + mfabb;
+ mfaab = m0;
+ mfabb = m1 - m0 * vvy;
+ mfacb = m2 - 2. * m1 * vvy + vy2 * m0;
+ ////////////////////////////////////////////////////////////////////////////////////
+ m2 = mfaac + mfacc;
+ m1 = mfacc - mfaac;
+ m0 = m2 + mfabc;
+ mfaac = m0;
+ m0 += UbMath::c1o18 * oMdrho;
+ mfabc = m1 - m0 * vvy;
+ mfacc = m2 - 2. * m1 * vvy + vy2 * m0;
+ ////////////////////////////////////////////////////////////////////////////////////
+ ////////////////////////////////////////////////////////////////////////////////////
+ m2 = mfbaa + mfbca;
+ m1 = mfbca - mfbaa;
+ m0 = m2 + mfbba;
+ mfbaa = m0;
+ m0 += UbMath::c2o3 * oMdrho;
+ mfbba = m1 - m0 * vvy;
+ mfbca = m2 - 2. * m1 * vvy + vy2 * m0;
+ ////////////////////////////////////////////////////////////////////////////////////
+ m2 = mfbab + mfbcb;
+ m1 = mfbcb - mfbab;
+ m0 = m2 + mfbbb;
+ mfbab = m0;
+ mfbbb = m1 - m0 * vvy;
+ mfbcb = m2 - 2. * m1 * vvy + vy2 * m0;
+ ////////////////////////////////////////////////////////////////////////////////////
+ m2 = mfbac + mfbcc;
+ m1 = mfbcc - mfbac;
+ m0 = m2 + mfbbc;
+ mfbac = m0;
+ m0 += UbMath::c2o9 * oMdrho;
+ mfbbc = m1 - m0 * vvy;
+ mfbcc = m2 - 2. * m1 * vvy + vy2 * m0;
+ ////////////////////////////////////////////////////////////////////////////////////
+ ////////////////////////////////////////////////////////////////////////////////////
+ m2 = mfcaa + mfcca;
+ m1 = mfcca - mfcaa;
+ m0 = m2 + mfcba;
+ mfcaa = m0;
+ m0 += UbMath::c1o6 * oMdrho;
+ mfcba = m1 - m0 * vvy;
+ mfcca = m2 - 2. * m1 * vvy + vy2 * m0;
+ ////////////////////////////////////////////////////////////////////////////////////
+ m2 = mfcab + mfccb;
+ m1 = mfccb - mfcab;
+ m0 = m2 + mfcbb;
+ mfcab = m0;
+ mfcbb = m1 - m0 * vvy;
+ mfccb = m2 - 2. * m1 * vvy + vy2 * m0;
+ ////////////////////////////////////////////////////////////////////////////////////
+ m2 = mfcac + mfccc;
+ m1 = mfccc - mfcac;
+ m0 = m2 + mfcbc;
+ mfcac = m0;
+ m0 += UbMath::c1o18 * oMdrho;
+ mfcbc = m1 - m0 * vvy;
+ mfccc = m2 - 2. * m1 * vvy + vy2 * m0;
+ ////////////////////////////////////////////////////////////////////////////////////
+ ////////////////////////////////////////////////////////////////////////////////////
+ // mit 1, 0, 1/3, 0, 0, 0, 1/3, 0, 1/9 Konditionieren
+ ////////////////////////////////////////////////////////////////////////////////////
+ // X - Dir
+ m2 = mfaaa + mfcaa;
+ m1 = mfcaa - mfaaa;
+ m0 = m2 + mfbaa;
+ mfaaa = m0;
+ m0 += 1. * oMdrho;
+ mfbaa = m1 - m0 * vvx;
+ mfcaa = m2 - 2. * m1 * vvx + vx2 * m0;
+ ////////////////////////////////////////////////////////////////////////////////////
+ m2 = mfaba + mfcba;
+ m1 = mfcba - mfaba;
+ m0 = m2 + mfbba;
+ mfaba = m0;
+ mfbba = m1 - m0 * vvx;
+ mfcba = m2 - 2. * m1 * vvx + vx2 * m0;
+ ////////////////////////////////////////////////////////////////////////////////////
+ m2 = mfaca + mfcca;
+ m1 = mfcca - mfaca;
+ m0 = m2 + mfbca;
+ mfaca = m0;
+ m0 += UbMath::c1o3 * oMdrho;
+ mfbca = m1 - m0 * vvx;
+ mfcca = m2 - 2. * m1 * vvx + vx2 * m0;
+ ////////////////////////////////////////////////////////////////////////////////////
+ ////////////////////////////////////////////////////////////////////////////////////
+ m2 = mfaab + mfcab;
+ m1 = mfcab - mfaab;
+ m0 = m2 + mfbab;
+ mfaab = m0;
+ mfbab = m1 - m0 * vvx;
+ mfcab = m2 - 2. * m1 * vvx + vx2 * m0;
+ ////////////////////////////////////////////////////////////////////////////////////
+ m2 = mfabb + mfcbb;
+ m1 = mfcbb - mfabb;
+ m0 = m2 + mfbbb;
+ mfabb = m0;
+ mfbbb = m1 - m0 * vvx;
+ mfcbb = m2 - 2. * m1 * vvx + vx2 * m0;
+ ////////////////////////////////////////////////////////////////////////////////////
+ m2 = mfacb + mfccb;
+ m1 = mfccb - mfacb;
+ m0 = m2 + mfbcb;
+ mfacb = m0;
+ mfbcb = m1 - m0 * vvx;
+ mfccb = m2 - 2. * m1 * vvx + vx2 * m0;
+ ////////////////////////////////////////////////////////////////////////////////////
+ ////////////////////////////////////////////////////////////////////////////////////
+ m2 = mfaac + mfcac;
+ m1 = mfcac - mfaac;
+ m0 = m2 + mfbac;
+ mfaac = m0;
+ m0 += UbMath::c1o3 * oMdrho;
+ mfbac = m1 - m0 * vvx;
+ mfcac = m2 - 2. * m1 * vvx + vx2 * m0;
+ ////////////////////////////////////////////////////////////////////////////////////
+ m2 = mfabc + mfcbc;
+ m1 = mfcbc - mfabc;
+ m0 = m2 + mfbbc;
+ mfabc = m0;
+ mfbbc = m1 - m0 * vvx;
+ mfcbc = m2 - 2. * m1 * vvx + vx2 * m0;
+ ////////////////////////////////////////////////////////////////////////////////////
+ m2 = mfacc + mfccc;
+ m1 = mfccc - mfacc;
+ m0 = m2 + mfbcc;
+ mfacc = m0;
+ m0 += UbMath::c1o9 * oMdrho;
+ mfbcc = m1 - m0 * vvx;
+ mfccc = m2 - 2. * m1 * vvx + vx2 * m0;
+ ////////////////////////////////////////////////////////////////////////////////////
+ // Cumulants
+ ////////////////////////////////////////////////////////////////////////////////////
+ LBMReal OxxPyyPzz = 1.; //omega2 or bulk viscosity
+ // LBMReal OxyyPxzz = 1.;//-s9;//2+s9;//
+ // LBMReal OxyyMxzz = 1.;//2+s9;//
- //Cum 4.
- //LBMReal CUMcbb = mfcbb - ((mfcaa + UbMath::c1o3 * oMdrho) * mfabb + 2. * mfbba * mfbab); // till 18.05.2015
- //LBMReal CUMbcb = mfbcb - ((mfaca + UbMath::c1o3 * oMdrho) * mfbab + 2. * mfbba * mfabb); // till 18.05.2015
- //LBMReal CUMbbc = mfbbc - ((mfaac + UbMath::c1o3 * oMdrho) * mfbba + 2. * mfbab * mfabb); // till 18.05.2015
+ //Cum 4.
+ //LBMReal CUMcbb = mfcbb - ((mfcaa + UbMath::c1o3 * oMdrho) * mfabb + 2. * mfbba * mfbab); // till 18.05.2015
+ //LBMReal CUMbcb = mfbcb - ((mfaca + UbMath::c1o3 * oMdrho) * mfbab + 2. * mfbba * mfabb); // till 18.05.2015
+ //LBMReal CUMbbc = mfbbc - ((mfaac + UbMath::c1o3 * oMdrho) * mfbba + 2. * mfbab * mfabb); // till 18.05.2015
- // LBMReal CUMcbb = mfcbb - ((mfcaa + UbMath::c1o3) * mfabb + 2. * mfbba * mfbab);
- // LBMReal CUMbcb = mfbcb - ((mfaca + UbMath::c1o3) * mfbab + 2. * mfbba * mfabb);
- // LBMReal CUMbbc = mfbbc - ((mfaac + UbMath::c1o3) * mfbba + 2. * mfbab * mfabb);
+ // LBMReal CUMcbb = mfcbb - ((mfcaa + UbMath::c1o3) * mfabb + 2. * mfbba * mfbab);
+ // LBMReal CUMbcb = mfbcb - ((mfaca + UbMath::c1o3) * mfbab + 2. * mfbba * mfabb);
+ // LBMReal CUMbbc = mfbbc - ((mfaac + UbMath::c1o3) * mfbba + 2. * mfbab * mfabb);
- // LBMReal CUMcca = mfcca - ((mfcaa * mfaca + 2. * mfbba * mfbba) + UbMath::c1o3 * (mfcaa + mfaca) * oMdrho + UbMath::c1o9 * (oMdrho - 1) * oMdrho);
- // LBMReal CUMcac = mfcac - ((mfcaa * mfaac + 2. * mfbab * mfbab) + UbMath::c1o3 * (mfcaa + mfaac) * oMdrho + UbMath::c1o9 * (oMdrho - 1) * oMdrho);
- // LBMReal CUMacc = mfacc - ((mfaac * mfaca + 2. * mfabb * mfabb) + UbMath::c1o3 * (mfaac + mfaca) * oMdrho + UbMath::c1o9 * (oMdrho - 1) * oMdrho);
+ // LBMReal CUMcca = mfcca - ((mfcaa * mfaca + 2. * mfbba * mfbba) + UbMath::c1o3 * (mfcaa + mfaca) * oMdrho + UbMath::c1o9 * (oMdrho - 1) * oMdrho);
+ // LBMReal CUMcac = mfcac - ((mfcaa * mfaac + 2. * mfbab * mfbab) + UbMath::c1o3 * (mfcaa + mfaac) * oMdrho + UbMath::c1o9 * (oMdrho - 1) * oMdrho);
+ // LBMReal CUMacc = mfacc - ((mfaac * mfaca + 2. * mfabb * mfabb) + UbMath::c1o3 * (mfaac + mfaca) * oMdrho + UbMath::c1o9 * (oMdrho - 1) * oMdrho);
- //Cum 5.
- // LBMReal CUMbcc = mfbcc - (mfaac * mfbca + mfaca * mfbac + 4. * mfabb * mfbbb + 2. * (mfbab * mfacb + mfbba * mfabc)) - UbMath::c1o3 * (mfbca + mfbac) * oMdrho;
- // LBMReal CUMcbc = mfcbc - (mfaac * mfcba + mfcaa * mfabc + 4. * mfbab * mfbbb + 2. * (mfabb * mfcab + mfbba * mfbac)) - UbMath::c1o3 * (mfcba + mfabc) * oMdrho;
- // LBMReal CUMccb = mfccb - (mfcaa * mfacb + mfaca * mfcab + 4. * mfbba * mfbbb + 2. * (mfbab * mfbca + mfabb * mfcba)) - UbMath::c1o3 * (mfacb + mfcab) * oMdrho;
+ //Cum 5.
+ // LBMReal CUMbcc = mfbcc - (mfaac * mfbca + mfaca * mfbac + 4. * mfabb * mfbbb + 2. * (mfbab * mfacb + mfbba * mfabc)) - UbMath::c1o3 * (mfbca + mfbac) * oMdrho;
+ // LBMReal CUMcbc = mfcbc - (mfaac * mfcba + mfcaa * mfabc + 4. * mfbab * mfbbb + 2. * (mfabb * mfcab + mfbba * mfbac)) - UbMath::c1o3 * (mfcba + mfabc) * oMdrho;
+ // LBMReal CUMccb = mfccb - (mfcaa * mfacb + mfaca * mfcab + 4. * mfbba * mfbbb + 2. * (mfbab * mfbca + mfabb * mfcba)) - UbMath::c1o3 * (mfacb + mfcab) * oMdrho;
- //Cum 6.
+ //Cum 6.
// LBMReal CUMccc = mfccc + ((-4. * mfbbb * mfbbb
// - (mfcaa * mfacc + mfaca * mfcac + mfaac * mfcca)
// - 4. * (mfabb * mfcbb + mfbab * mfbcb + mfbba * mfbbc)
@@ -1120,23 +1112,23 @@ usage: ...
// + (mfaac * mfaca + mfaac * mfcaa + mfaca * mfcaa)) * c2o3 * oMdrho) + c1o27 * oMdrho;
- LBMReal mxxPyyPzz = mfcaa + mfaca + mfaac;
- LBMReal mxxMyy = mfcaa - mfaca;
- LBMReal mxxMzz = mfcaa - mfaac;
+ LBMReal mxxPyyPzz = mfcaa + mfaca + mfaac;
+ LBMReal mxxMyy = mfcaa - mfaca;
+ LBMReal mxxMzz = mfcaa - mfaac;
+
+ LBMReal dxux = -UbMath::c1o2 * collFactorF * (mxxMyy + mxxMzz) + UbMath::c1o2 * OxxPyyPzz * (mfaaa - mxxPyyPzz);
+ LBMReal dyuy = dxux + collFactorF * UbMath::c3o2 * mxxMyy;
+ LBMReal dzuz = dxux + collFactorF * UbMath::c3o2 * mxxMzz;
- LBMReal dxux = -UbMath::c1o2 * collFactorF * (mxxMyy + mxxMzz) + UbMath::c1o2 * OxxPyyPzz * (mfaaa - mxxPyyPzz);
- LBMReal dyuy = dxux + collFactorF * UbMath::c3o2 * mxxMyy;
- LBMReal dzuz = dxux + collFactorF * UbMath::c3o2 * mxxMzz;
+ LBMReal Dxy = -UbMath::three * collFactorF * mfbba;
+ LBMReal Dxz = -UbMath::three * collFactorF * mfbab;
+ LBMReal Dyz = -UbMath::three * collFactorF * mfabb;
- LBMReal Dxy = -UbMath::three * collFactorF * mfbba;
- LBMReal Dxz = -UbMath::three * collFactorF * mfbab;
- LBMReal Dyz = -UbMath::three * collFactorF * mfabb;
-
- //TODO: may be factor 2
- return sqrt(UbMath::c2 * (dxux * dxux + dyuy * dyuy + dzuz * dzuz) + Dxy * Dxy + Dxz * Dxz + Dyz * Dyz) / (rho + UbMath::one);
- }
- }
+ //TODO: may be factor 2
+ return sqrt(UbMath::c2 * (dxux * dxux + dyuy * dyuy + dzuz * dzuz) + Dxy * Dxy + Dxz * Dxz + Dyz * Dyz) / (rho + UbMath::one);
+ }
+}
#endif
diff --git a/src/cpu/VirtualFluidsCore/LBM/LBMUnitConverter.h b/src/cpu/VirtualFluidsCore/LBM/LBMUnitConverter.h
index 3059fd3831d3daf1bc05254c67b3d671a0d81cb7..40570cc3847f71a1942791afa7e95145daafb53b 100644
--- a/src/cpu/VirtualFluidsCore/LBM/LBMUnitConverter.h
+++ b/src/cpu/VirtualFluidsCore/LBM/LBMUnitConverter.h
@@ -1,3 +1,36 @@
+//=======================================================================================
+// ____ ____ __ ______ __________ __ __ __ __
+// \ \ | | | | | _ \ |___ ___| | | | | / \ | |
+// \ \ | | | | | |_) | | | | | | | / \ | |
+// \ \ | | | | | _ / | | | | | | / /\ \ | |
+// \ \ | | | | | | \ \ | | | \__/ | / ____ \ | |____
+// \ \ | | |__| |__| \__\ |__| \________/ /__/ \__\ |_______|
+// \ \ | | ________________________________________________________________
+// \ \ | | | ______________________________________________________________|
+// \ \| | | | __ __ __ __ ______ _______
+// \ | | |_____ | | | | | | | | | _ \ / _____)
+// \ | | _____| | | | | | | | | | | \ \ \_______
+// \ | | | | |_____ | \_/ | | | | |_/ / _____ |
+// \ _____| |__| |________| \_______/ |__| |______/ (_______/
+//
+// 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 LBMUnitConverter.h
+//! \ingroup LBM
+//! \author Soeren Freudiger
+//=======================================================================================
+
#ifndef LBMUNITCONVERTER_H
#define LBMUNITCONVERTER_H
@@ -7,24 +40,25 @@
#include <sstream>
#include <string>
-//#include "LBMUnitConverter.h"
-
#include <basics/utilities/UbException.h>
-#include <basics/utilities/UbFileInput.h>
-#include <basics/utilities/UbFileOutput.h>
-// LBMUnitConverter conv( 100 /*L_World*/, 1484/*cs_water*/ , 1000/*rho_water*/
-// , 1000/*L_LB*/ , 1./srqt(3.)/*cs_Lb*/, 1/*rho_Lb*/ );
-// cout<<conv.toString()<<endl;
-//
-// cout<<"100m = "<< 100 * conv.getFactorLentghWToLb() << "dx " << std::endl;
-// cout<<"1000dx = "<< 1000 * conv.getFactorLentghLbToW() << "m " << std::endl;
-//
-// cout<<"25m/s = "<< 25 * conv.getFactorVelocityWToLb() << "dx/dt " << std::endl;
-// cout<<"0.04 dx/dt = "<< 0.04 * conv.getFactorVelocityLbToW() << "m/s " << std::endl;
-//
-// alternativ
-// LBMUnitConverter conv(, 100 /*L_World*/, LBMUnitConverter::WATER, 1000/*L_LB*/ );
+//! \brief A class provides converter for LB units <-> SI units
+//! \details
+//! \code
+//! LBMUnitConverter conv( 100 /*L_World*/, 1484/*cs_water*/ , 1000/*rho_water*/
+//! , 1000/*L_LB*/ , 1./srqt(3.)/*cs_Lb*/, 1/*rho_Lb*/ );
+//! cout<<conv.toString()<<endl;
+//!
+//! cout<<"100m = "<< 100 * conv.getFactorLentghWToLb() << "dx " << std::endl;
+//! cout<<"1000dx = "<< 1000 * conv.getFactorLentghLbToW() << "m " << std::endl;
+//!
+//! cout<<"25m/s = "<< 25 * conv.getFactorVelocityWToLb() << "dx/dt " << std::endl;
+//! cout<<"0.04 dx/dt = "<< 0.04 * conv.getFactorVelocityLbToW() << "m/s " << std::endl;
+//! \endcode
+//! alternative
+//! \code
+//! LBMUnitConverter conv(, 100 /*L_World*/, LBMUnitConverter::WATER, 1000/*L_LB*/ );
+//! \endcode
class LBMUnitConverter
{
@@ -161,20 +195,6 @@ public:
return out.str();
}
- /*==========================================================*/
- virtual void write(UbFileOutput *out)
- {
- out->writeDouble(factorLengthLbToW);
- out->writeDouble(factorTimeLbToW);
- out->writeDouble(factorMassLbToW);
- }
- /*==========================================================*/
- virtual void read(UbFileInput *in)
- {
- factorLengthLbToW = in->readDouble();
- factorTimeLbToW = in->readDouble();
- factorMassLbToW = in->readDouble();
- }
void init(const double &refLengthWorld, const double & /*csWorld*/, const double &rhoWorld, const double &vWorld,
const double &refLengthLb, const double &rhoLb, const double &vLb)
diff --git a/src/cpu/VirtualFluidsCore/Visitors/InitDistributionsBlockVisitor.cpp b/src/cpu/VirtualFluidsCore/Visitors/InitDistributionsBlockVisitor.cpp
index 7ebdfa85e85200a6bd8adf760f13d6742b7e2b2d..bc1e7d11defc33ade7a1aeb33377dff213efe3a0 100644
--- a/src/cpu/VirtualFluidsCore/Visitors/InitDistributionsBlockVisitor.cpp
+++ b/src/cpu/VirtualFluidsCore/Visitors/InitDistributionsBlockVisitor.cpp
@@ -136,11 +136,11 @@ void InitDistributionsBlockVisitor::visit(const SPtr<Grid3D> grid, SPtr<Block3D>
this->muVx3.DefineVar("x1",&x1); this->muVx3.DefineVar("x2",&x2); this->muVx3.DefineVar("x3",&x3);
this->muRho.DefineVar("x1",&x1); this->muRho.DefineVar("x2",&x2); this->muRho.DefineVar("x3",&x3);
- //Funktionszeiger
- typedef void (*CalcFeqsFct)(LBMReal* const& /*feq[27]*/,const LBMReal& /*(d)rho*/,const LBMReal& /*vx1*/,const LBMReal& /*vx2*/,const LBMReal& /*vx3*/);
- CalcFeqsFct calcFeqsFct = NULL;
+ using CalcFeqsFct = void (*)(LBMReal *const & /*feq[27]*/, const LBMReal & /*(d)rho*/, const LBMReal & /*vx1*/,
+ const LBMReal & /*vx2*/, const LBMReal & /*vx3*/);
+ CalcFeqsFct calcFeqsFct = NULL;
- LBMReal vx1,vx2,vx3,rho;
+ LBMReal vx1, vx2, vx3, rho;
int gridRank = grid->getRank();
int blockRank = block->getRank();
diff --git a/src/cpu/VirtualFluidsCore/Visitors/SetKernelBlockVisitor.h b/src/cpu/VirtualFluidsCore/Visitors/SetKernelBlockVisitor.h
index 6eb8f6577e0c467df469667900d43e1a38ea15b1..51cbc256cfeac03b2d51acf8ebe8fca12a3f33ed 100644
--- a/src/cpu/VirtualFluidsCore/Visitors/SetKernelBlockVisitor.h
+++ b/src/cpu/VirtualFluidsCore/Visitors/SetKernelBlockVisitor.h
@@ -49,10 +49,6 @@ class SetKernelBlockVisitor : public Block3DVisitor
public:
enum Action { NewKernel, ChangeKernel, ChangeKernelWithData };
- // SetKernelBlockVisitor(LBMKernel3DPtr kernel, LBMReal nue);
-
- // SetKernelBlockVisitor(LBMKernel3DPtr kernel, LBMReal nue, double availMem, double needMem);
-
SetKernelBlockVisitor(SPtr<LBMKernel> kernel, LBMReal nue, double availMem, double needMem,
SetKernelBlockVisitor::Action action = SetKernelBlockVisitor::NewKernel);
diff --git a/src/gpu/GksGpu/CMakeLists.txt b/src/gpu/GksGpu/CMakeLists.txt
index b6e91a2cb6dbfabd61adf4fc20dd8dab5aa82e0c..da404e0209ed2c9f36ae323d2e6bd234fb6dfb96 100644
--- a/src/gpu/GksGpu/CMakeLists.txt
+++ b/src/gpu/GksGpu/CMakeLists.txt
@@ -1,3 +1,3 @@
project(GksGpu LANGUAGES CUDA CXX)
-vf_add_library(BUILDTYPE shared PRIVATE_LINK basics GksMeshAdapter OpenMP::OpenMP_CXX MPI::MPI_CXX)
+vf_add_library(PRIVATE_LINK basics GksMeshAdapter OpenMP::OpenMP_CXX MPI::MPI_CXX)
diff --git a/src/gpu/GksMeshAdapter/CMakeLists.txt b/src/gpu/GksMeshAdapter/CMakeLists.txt
index 3e47fe4abb10c9b9165d9e795bfcf034f607fd22..cb00b3c016786c41ef5640eb362322bb0a3768f8 100644
--- a/src/gpu/GksMeshAdapter/CMakeLists.txt
+++ b/src/gpu/GksMeshAdapter/CMakeLists.txt
@@ -1,3 +1,3 @@
+project(GksMeshAdapter LANGUAGES CUDA CXX)
-
-vf_add_library(BUILDTYPE shared PRIVATE_LINK basics GridGenerator)
+vf_add_library(PRIVATE_LINK basics GridGenerator)