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/***************************************************************************
NavierStokesEnergyOperatorRightHandSide.h - description
-------------------
begin : Feb 17, 2017
copyright : (C) 2017 by Tomas Oberhuber
email : tomas.oberhuber@fjfi.cvut.cz
***************************************************************************/
/* See Copyright Notice in tnl/Copyright */
#pragma once
#include <TNL/Containers/Vector.h>
#include <TNL/Meshes/Grid.h>
namespace TNL {
template< typename Mesh,
typename Real = typename Mesh::RealType,
typename Index = typename Mesh::IndexType >
class NavierStokesEnergyRightHandSideBase
{
public:
typedef Real RealType;
typedef Index IndexType;
typedef Mesh MeshType;
typedef typename MeshType::DeviceType DeviceType;
typedef typename MeshType::CoordinatesType CoordinatesType;
typedef Functions::MeshFunction< MeshType > MeshFunctionType;
static const int Dimensions = MeshType::getMeshDimension();
typedef Functions::VectorField< Dimensions, MeshFunctionType > VelocityFieldType;
typedef Pointers::SharedPointer< MeshFunctionType > MeshFunctionPointer;
typedef Pointers::SharedPointer< VelocityFieldType > VelocityFieldPointer;
NavierStokesEnergyRightHandSideBase()
: dynamicalViscosity( 1.0 ){};
static String getType()
{
return String( "LaxFridrichsEnergy< " ) +
MeshType::getType() + ", " +
TNL::getType< Real >() + ", " +
TNL::getType< Index >() + " >";
}
void setVelocity( const VelocityFieldPointer& velocity )
{
this->velocity = velocity;
}
void setDynamicalViscosity( const RealType& dynamicalViscosity )
{
this->dynamicalViscosity = dynamicalViscosity;
}
protected:
VelocityFieldPointer velocity;
RealType dynamicalViscosity;
};
template< typename Mesh,
typename Real = typename Mesh::RealType,
typename Index = typename Mesh::IndexType >
class NavierStokesEnergyRightHandSide
{
};
template< typename MeshReal,
typename Device,
typename MeshIndex,
typename Real,
typename Index >
class NavierStokesEnergyRightHandSide< Meshes::Grid< 1, MeshReal, Device, MeshIndex >, Real, Index >
: public NavierStokesEnergyRightHandSideBase< Meshes::Grid< 1, MeshReal, Device, MeshIndex >, Real, Index >
{
public:
typedef Meshes::Grid< 1, MeshReal, Device, MeshIndex > MeshType;
typedef NavierStokesEnergyRightHandSideBase< MeshType, Real, Index > BaseType;
using typename BaseType::RealType;
using typename BaseType::IndexType;
using typename BaseType::DeviceType;
using typename BaseType::CoordinatesType;
using typename BaseType::MeshFunctionType;
using typename BaseType::MeshFunctionPointer;
using typename BaseType::VelocityFieldType;
using typename BaseType::VelocityFieldPointer;
using BaseType::Dimensions;
template< typename MeshFunction, typename MeshEntity >
__cuda_callable__
Real operator()( const MeshFunction& e,
const MeshEntity& entity,
const RealType& time = 0.0 ) const
{
static_assert( MeshEntity::getEntityDimension() == 1, "Wrong mesh entity dimensions." );
static_assert( MeshFunction::getEntitiesDimension() == 1, "Wrong preimage function" );
const typename MeshEntity::template NeighborEntities< 1 >& neighborEntities = entity.getNeighborEntities();
const RealType& hxInverse = entity.getMesh().template getSpaceStepsProducts< -1 >();
const RealType& hxSquareInverse = entity.getMesh().template getSpaceStepsProducts< -2 >();
const IndexType& center = entity.getIndex();
const IndexType& east = neighborEntities.template getEntityIndex< 1 >();
const IndexType& west = neighborEntities.template getEntityIndex< -1 >();
const RealType& velocity_x_east = this->velocity.template getData< TNL::Devices::Host >()[ 0 ].template getData< DeviceType >()[ east ];
const RealType& velocity_x_west = this->velocity.template getData< TNL::Devices::Host >()[ 0 ].template getData< DeviceType >()[ west ];
const RealType& velocity_x_center = this->velocity.template getData< TNL::Devices::Host >()[ 0 ].template getData< DeviceType >()[ center ];
return
// 1D uT_11_x
4.0 / 3.0 * ( velocity_x_east * velocity_x_center - velocity_x_center * velocity_x_west
- velocity_x_center * velocity_x_center + velocity_x_west * velocity_x_west
) * hxSquareInverse / 4
* this->dynamicalViscosity;
}
/*template< typename MeshEntity >
__cuda_callable__
Index getLinearSystemRowLength( const MeshType& mesh,
const IndexType& index,
const MeshEntity& entity ) const;
template< typename MeshEntity, typename Vector, typename MatrixRow >
__cuda_callable__
void updateLinearSystem( const RealType& time,
const RealType& tau,
const MeshType& mesh,
const IndexType& index,
const MeshEntity& entity,
const MeshFunctionType& u,
Vector& b,
MatrixRow& matrixRow ) const;*/
};
template< typename MeshReal,
typename Device,
typename MeshIndex,
typename Real,
typename Index >
class NavierStokesEnergyRightHandSide< Meshes::Grid< 2, MeshReal, Device, MeshIndex >, Real, Index >
: public NavierStokesEnergyRightHandSideBase< Meshes::Grid< 2, MeshReal, Device, MeshIndex >, Real, Index >
{
public:
typedef Meshes::Grid< 2, MeshReal, Device, MeshIndex > MeshType;
typedef NavierStokesEnergyRightHandSideBase< MeshType, Real, Index > BaseType;
using typename BaseType::RealType;
using typename BaseType::IndexType;
using typename BaseType::DeviceType;
using typename BaseType::CoordinatesType;
using typename BaseType::MeshFunctionType;
using typename BaseType::MeshFunctionPointer;
using typename BaseType::VelocityFieldType;
using typename BaseType::VelocityFieldPointer;
using BaseType::Dimensions;
template< typename MeshFunction, typename MeshEntity >
__cuda_callable__
Real operator()( const MeshFunction& e,
const MeshEntity& entity,
const RealType& time = 0.0 ) const
{
static_assert( MeshEntity::getEntityDimension() == 2, "Wrong mesh entity dimensions." );
static_assert( MeshFunction::getEntitiesDimension() == 2, "Wrong preimage function" );
const typename MeshEntity::template NeighborEntities< 2 >& neighborEntities = entity.getNeighborEntities();
const RealType& hxInverse = entity.getMesh().template getSpaceStepsProducts< -1, 0 >();
const RealType& hyInverse = entity.getMesh().template getSpaceStepsProducts< 0, -1 >();
const RealType& hxSquareInverse = entity.getMesh().template getSpaceStepsProducts< -2, 0 >();
const RealType& hySquareInverse = entity.getMesh().template getSpaceStepsProducts< 0, -2 >();
const IndexType& center = entity.getIndex();
const IndexType& east = neighborEntities.template getEntityIndex< 1, 0 >();
const IndexType& west = neighborEntities.template getEntityIndex< -1, 0 >();
const IndexType& north = neighborEntities.template getEntityIndex< 0, 1 >();
const IndexType& south = neighborEntities.template getEntityIndex< 0, -1 >();
const IndexType& southEast = neighborEntities.template getEntityIndex< 1, -1 >();
const IndexType& southWest = neighborEntities.template getEntityIndex< -1, -1 >();
const IndexType& northEast = neighborEntities.template getEntityIndex< 1, 1 >();
const IndexType& northWest = neighborEntities.template getEntityIndex< -1, 1 >();
const RealType& velocity_x_north = this->velocity.template getData< TNL::Devices::Host >()[ 0 ].template getData< DeviceType >()[ north ];
const RealType& velocity_x_south = this->velocity.template getData< TNL::Devices::Host >()[ 0 ].template getData< DeviceType >()[ south ];
const RealType& velocity_x_east = this->velocity.template getData< TNL::Devices::Host >()[ 0 ].template getData< DeviceType >()[ east ];
const RealType& velocity_x_west = this->velocity.template getData< TNL::Devices::Host >()[ 0 ].template getData< DeviceType >()[ west ];
const RealType& velocity_x_center = this->velocity.template getData< TNL::Devices::Host >()[ 0 ].template getData< DeviceType >()[ center ];
const RealType& velocity_x_southEast = this->velocity.template getData< TNL::Devices::Host >()[ 0 ].template getData< DeviceType >()[ southEast ];
const RealType& velocity_x_southWest = this->velocity.template getData< TNL::Devices::Host >()[ 0 ].template getData< DeviceType >()[ southWest ];
const RealType& velocity_x_northEast = this->velocity.template getData< TNL::Devices::Host >()[ 0 ].template getData< DeviceType >()[ northEast ];
const RealType& velocity_x_northWest = this->velocity.template getData< TNL::Devices::Host >()[ 0 ].template getData< DeviceType >()[ northWest ];
const RealType& velocity_y_north = this->velocity.template getData< TNL::Devices::Host >()[ 1 ].template getData< DeviceType >()[ north ];
const RealType& velocity_y_south = this->velocity.template getData< TNL::Devices::Host >()[ 1 ].template getData< DeviceType >()[ south ];
const RealType& velocity_y_east = this->velocity.template getData< TNL::Devices::Host >()[ 1 ].template getData< DeviceType >()[ east ];
const RealType& velocity_y_west = this->velocity.template getData< TNL::Devices::Host >()[ 1 ].template getData< DeviceType >()[ west ];
const RealType& velocity_y_center = this->velocity.template getData< TNL::Devices::Host >()[ 1 ].template getData< DeviceType >()[ center ];
const RealType& velocity_y_southEast = this->velocity.template getData< TNL::Devices::Host >()[ 1 ].template getData< DeviceType >()[ southEast ];
const RealType& velocity_y_southWest = this->velocity.template getData< TNL::Devices::Host >()[ 1 ].template getData< DeviceType >()[ southWest ];
const RealType& velocity_y_northEast = this->velocity.template getData< TNL::Devices::Host >()[ 1 ].template getData< DeviceType >()[ northEast ];
const RealType& velocity_y_northWest = this->velocity.template getData< TNL::Devices::Host >()[ 1 ].template getData< DeviceType >()[ northWest ];
return
// 2D uT_11_x
( 4.0 / 3.0 * ( velocity_x_east * velocity_x_center - velocity_x_center * velocity_x_west
- velocity_x_center * velocity_x_center + velocity_x_west * velocity_x_west
) * hxSquareInverse
- 2.0 / 3.0 * ( velocity_y_northEast * velocity_x_east - velocity_y_southEast * velocity_x_east
- velocity_y_northWest * velocity_x_west + velocity_y_southWest * velocity_x_west
) * hxInverse * hyInverse / 4
) * this->dynamicalViscosity
// vT_12_x
+ ( ( velocity_x_northEast * velocity_y_east - velocity_x_southEast * velocity_y_east
- velocity_x_northWest * velocity_y_west + velocity_x_southWest * velocity_y_west
Jan Schäfer
committed
) * hxInverse * hyInverse / 4
+ ( velocity_y_east * velocity_y_center - velocity_y_center * velocity_y_west
- velocity_y_center * velocity_y_center + velocity_y_west * velocity_y_west
Jan Schäfer
committed
) * hxSquareInverse
) * this->dynamicalViscosity
// uT_21_y
+ ( ( velocity_y_northEast * velocity_x_north - velocity_y_southEast * velocity_x_south
- velocity_y_northWest * velocity_x_north + velocity_y_southWest * velocity_x_south
Jan Schäfer
committed
) * hxInverse * hyInverse / 4
+ ( velocity_x_north * velocity_x_center - velocity_x_center * velocity_x_south
- velocity_x_center * velocity_x_center + velocity_x_south * velocity_x_south
Jan Schäfer
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) * hySquareInverse
) * this->dynamicalViscosity
// 2D vT_22_y
+ ( 4.0 / 3.0 * ( velocity_y_north * velocity_y_center - velocity_y_center * velocity_y_south
- velocity_y_center * velocity_y_center + velocity_y_south * velocity_y_south
) * hySquareInverse
- 2.0 / 3.0 * ( velocity_x_northEast * velocity_y_north - velocity_x_southEast * velocity_y_south
- velocity_x_northWest * velocity_y_north + velocity_x_southWest * velocity_y_south
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) * hxInverse * hyInverse / 4
) * this->dynamicalViscosity;
}
/*template< typename MeshEntity >
__cuda_callable__
Index getLinearSystemRowLength( const MeshType& mesh,
const IndexType& index,
const MeshEntity& entity ) const;
template< typename MeshEntity, typename Vector, typename MatrixRow >
__cuda_callable__
void updateLinearSystem( const RealType& time,
const RealType& tau,
const MeshType& mesh,
const IndexType& index,
const MeshEntity& entity,
const MeshFunctionType& u,
Vector& b,
MatrixRow& matrixRow ) const;*/
};
template< typename MeshReal,
typename Device,
typename MeshIndex,
typename Real,
typename Index >
class NavierStokesEnergyRightHandSide< Meshes::Grid< 3, MeshReal, Device, MeshIndex >, Real, Index >
: public NavierStokesEnergyRightHandSideBase< Meshes::Grid< 3, MeshReal, Device, MeshIndex >, Real, Index >
{
public:
typedef Meshes::Grid< 3, MeshReal, Device, MeshIndex > MeshType;
typedef NavierStokesEnergyRightHandSideBase< MeshType, Real, Index > BaseType;
using typename BaseType::RealType;
using typename BaseType::IndexType;
using typename BaseType::DeviceType;
using typename BaseType::CoordinatesType;
using typename BaseType::MeshFunctionType;
using typename BaseType::MeshFunctionPointer;
using typename BaseType::VelocityFieldType;
using typename BaseType::VelocityFieldPointer;
using BaseType::Dimensions;
template< typename MeshFunction, typename MeshEntity >
__cuda_callable__
Real operator()( const MeshFunction& e,
const MeshEntity& entity,
const RealType& time = 0.0 ) const
{
static_assert( MeshEntity::getEntityDimension() == 3, "Wrong mesh entity dimensions." );
static_assert( MeshFunction::getEntitiesDimension() == 3, "Wrong preimage function" );
const typename MeshEntity::template NeighborEntities< 3 >& neighborEntities = entity.getNeighborEntities();
const RealType& hxInverse = entity.getMesh().template getSpaceStepsProducts< -1, 0, 0 >();
const RealType& hyInverse = entity.getMesh().template getSpaceStepsProducts< 0, -1, 0 >();
const RealType& hzInverse = entity.getMesh().template getSpaceStepsProducts< 0, 0, -1 >();
const RealType& hxSquareInverse = entity.getMesh().template getSpaceStepsProducts< -2, 0, 0 >();
const RealType& hySquareInverse = entity.getMesh().template getSpaceStepsProducts< 0, -2, 0 >();
const RealType& hzSquareInverse = entity.getMesh().template getSpaceStepsProducts< 0, 0, -2 >();
const IndexType& center = entity.getIndex();
const IndexType& east = neighborEntities.template getEntityIndex< 1, 0, 0 >();
const IndexType& west = neighborEntities.template getEntityIndex< -1, 0, 0 >();
const IndexType& north = neighborEntities.template getEntityIndex< 0, 1, 0 >();
const IndexType& south = neighborEntities.template getEntityIndex< 0, -1, 0 >();
const IndexType& up = neighborEntities.template getEntityIndex< 0, 0, 1 >();
const IndexType& down = neighborEntities.template getEntityIndex< 0, 0, -1 >();
const IndexType& northWest = neighborEntities.template getEntityIndex< -1, 1, 0 >();
const IndexType& northEast = neighborEntities.template getEntityIndex< 1, 1, 0 >();
const IndexType& southWest = neighborEntities.template getEntityIndex< -1, -1, 0 >();
const IndexType& southEast = neighborEntities.template getEntityIndex< 1, -1, 0 >();
const IndexType& upWest = neighborEntities.template getEntityIndex< -1, 0, 1 >();
const IndexType& upEast = neighborEntities.template getEntityIndex< 1, 0, 1 >();
const IndexType& upSouth = neighborEntities.template getEntityIndex< 0, -1, 1 >();
const IndexType& upNorth = neighborEntities.template getEntityIndex< 0, 1, 1 >();
const IndexType& downWest = neighborEntities.template getEntityIndex< -1, 0, -1 >();
const IndexType& downEast = neighborEntities.template getEntityIndex< 1, 0, -1 >();
const IndexType& downSouth = neighborEntities.template getEntityIndex< 0, -1, -1 >();
const IndexType& downNorth = neighborEntities.template getEntityIndex< 0, 1, -1 >();
const RealType& velocity_x_north = this->velocity.template getData< TNL::Devices::Host >()[ 0 ].template getData< DeviceType >()[ north ];
const RealType& velocity_x_south = this->velocity.template getData< TNL::Devices::Host >()[ 0 ].template getData< DeviceType >()[ south ];
const RealType& velocity_x_east = this->velocity.template getData< TNL::Devices::Host >()[ 0 ].template getData< DeviceType >()[ east ];
const RealType& velocity_x_west = this->velocity.template getData< TNL::Devices::Host >()[ 0 ].template getData< DeviceType >()[ west ];
const RealType& velocity_x_up = this->velocity.template getData< TNL::Devices::Host >()[ 0 ].template getData< DeviceType >()[ up ];
const RealType& velocity_x_down = this->velocity.template getData< TNL::Devices::Host >()[ 0 ].template getData< DeviceType >()[ down ];
const RealType& velocity_x_center = this->velocity.template getData< TNL::Devices::Host >()[ 0 ].template getData< DeviceType >()[ center ];
const RealType& velocity_x_northWest = this->velocity.template getData< TNL::Devices::Host >()[ 0 ].template getData< DeviceType >()[ northWest ];
const RealType& velocity_x_northEast = this->velocity.template getData< TNL::Devices::Host >()[ 0 ].template getData< DeviceType >()[ northEast ];
const RealType& velocity_x_southWest = this->velocity.template getData< TNL::Devices::Host >()[ 0 ].template getData< DeviceType >()[ southWest ];
const RealType& velocity_x_southEast = this->velocity.template getData< TNL::Devices::Host >()[ 0 ].template getData< DeviceType >()[ southEast ];
const RealType& velocity_x_upWest = this->velocity.template getData< TNL::Devices::Host >()[ 0 ].template getData< DeviceType >()[ upWest ];
const RealType& velocity_x_downWest = this->velocity.template getData< TNL::Devices::Host >()[ 0 ].template getData< DeviceType >()[ downWest ];
const RealType& velocity_x_upEast = this->velocity.template getData< TNL::Devices::Host >()[ 0 ].template getData< DeviceType >()[ upEast ];
const RealType& velocity_x_downEast = this->velocity.template getData< TNL::Devices::Host >()[ 0 ].template getData< DeviceType >()[ downEast ];
const RealType& velocity_y_north = this->velocity.template getData< TNL::Devices::Host >()[ 1 ].template getData< DeviceType >()[ north ];
const RealType& velocity_y_south = this->velocity.template getData< TNL::Devices::Host >()[ 1 ].template getData< DeviceType >()[ south ];
const RealType& velocity_y_east = this->velocity.template getData< TNL::Devices::Host >()[ 1 ].template getData< DeviceType >()[ east ];
const RealType& velocity_y_west = this->velocity.template getData< TNL::Devices::Host >()[ 1 ].template getData< DeviceType >()[ west ];
const RealType& velocity_y_up = this->velocity.template getData< TNL::Devices::Host >()[ 1 ].template getData< DeviceType >()[ up ];
const RealType& velocity_y_down = this->velocity.template getData< TNL::Devices::Host >()[ 1 ].template getData< DeviceType >()[ down ];
const RealType& velocity_y_center = this->velocity.template getData< TNL::Devices::Host >()[ 1 ].template getData< DeviceType >()[ center ];
const RealType& velocity_y_northWest = this->velocity.template getData< TNL::Devices::Host >()[ 1 ].template getData< DeviceType >()[ northWest ];
const RealType& velocity_y_northEast = this->velocity.template getData< TNL::Devices::Host >()[ 1 ].template getData< DeviceType >()[ northEast ];
const RealType& velocity_y_southWest = this->velocity.template getData< TNL::Devices::Host >()[ 1 ].template getData< DeviceType >()[ southWest ];
const RealType& velocity_y_southEast = this->velocity.template getData< TNL::Devices::Host >()[ 1 ].template getData< DeviceType >()[ southEast ];
const RealType& velocity_y_upNorth = this->velocity.template getData< TNL::Devices::Host >()[ 1 ].template getData< DeviceType >()[ upNorth ];
const RealType& velocity_y_upSouth = this->velocity.template getData< TNL::Devices::Host >()[ 1 ].template getData< DeviceType >()[ upSouth ];
const RealType& velocity_y_downNorth = this->velocity.template getData< TNL::Devices::Host >()[ 1 ].template getData< DeviceType >()[ downNorth ];
const RealType& velocity_y_downSouth = this->velocity.template getData< TNL::Devices::Host >()[ 1 ].template getData< DeviceType >()[ downSouth ];
const RealType& velocity_z_north = this->velocity.template getData< TNL::Devices::Host >()[ 2 ].template getData< DeviceType >()[ north ];
const RealType& velocity_z_south = this->velocity.template getData< TNL::Devices::Host >()[ 2 ].template getData< DeviceType >()[ south ];
const RealType& velocity_z_east = this->velocity.template getData< TNL::Devices::Host >()[ 2 ].template getData< DeviceType >()[ east ];
const RealType& velocity_z_west = this->velocity.template getData< TNL::Devices::Host >()[ 2 ].template getData< DeviceType >()[ west ];
const RealType& velocity_z_up = this->velocity.template getData< TNL::Devices::Host >()[ 2 ].template getData< DeviceType >()[ up ];
const RealType& velocity_z_down = this->velocity.template getData< TNL::Devices::Host >()[ 2 ].template getData< DeviceType >()[ down ];
const RealType& velocity_z_center = this->velocity.template getData< TNL::Devices::Host >()[ 2 ].template getData< DeviceType >()[ center ];
const RealType& velocity_z_upWest = this->velocity.template getData< TNL::Devices::Host >()[ 2 ].template getData< DeviceType >()[ upWest ];
const RealType& velocity_z_upEast = this->velocity.template getData< TNL::Devices::Host >()[ 2 ].template getData< DeviceType >()[ upEast ];
const RealType& velocity_z_upNorth = this->velocity.template getData< TNL::Devices::Host >()[ 2 ].template getData< DeviceType >()[ upNorth ];
const RealType& velocity_z_upSouth = this->velocity.template getData< TNL::Devices::Host >()[ 2 ].template getData< DeviceType >()[ upSouth ];
const RealType& velocity_z_downWest = this->velocity.template getData< TNL::Devices::Host >()[ 2 ].template getData< DeviceType >()[ downWest ];
const RealType& velocity_z_downEast = this->velocity.template getData< TNL::Devices::Host >()[ 2 ].template getData< DeviceType >()[ downEast ];
const RealType& velocity_z_downNorth = this->velocity.template getData< TNL::Devices::Host >()[ 2 ].template getData< DeviceType >()[ downNorth ];
const RealType& velocity_z_downSouth = this->velocity.template getData< TNL::Devices::Host >()[ 2 ].template getData< DeviceType >()[ downSouth ];
return
// 3D uT_11_x
( 4.0 / 3.0 * ( velocity_x_east * velocity_x_center - velocity_x_center * velocity_x_west
- velocity_x_center * velocity_x_center + velocity_x_west * velocity_x_west
) * hxSquareInverse
- 2.0 / 3.0 * ( velocity_y_northEast * velocity_x_east - velocity_y_southEast * velocity_x_east
- velocity_y_northWest * velocity_x_west + velocity_y_southWest * velocity_x_west
) * hxInverse * hyInverse / 4
- 2.0 / 3.0 * ( velocity_z_upEast * velocity_x_east - velocity_z_downEast * velocity_x_east
- velocity_z_upWest * velocity_x_west + velocity_z_downWest * velocity_x_west
) * hxInverse * hzInverse / 4
) * this->dynamicalViscosity
// vT_12_x
+ ( ( velocity_x_northEast * velocity_y_east - velocity_x_southEast * velocity_y_east
- velocity_x_northWest * velocity_y_west + velocity_x_southWest * velocity_y_west
Jan Schäfer
committed
) * hxInverse * hyInverse / 4
+ ( velocity_y_east * velocity_y_center - velocity_y_center * velocity_y_west
- velocity_y_center * velocity_y_center + velocity_y_west * velocity_y_west
Jan Schäfer
committed
) * hxSquareInverse
) * this->dynamicalViscosity
// wT_13_x
+ ( ( velocity_x_upEast * velocity_z_east - velocity_x_downEast * velocity_z_east
- velocity_x_upWest * velocity_z_west + velocity_x_downWest * velocity_z_west
Jan Schäfer
committed
) * hxInverse * hzInverse / 4
+ ( velocity_z_east * velocity_z_center - velocity_z_center * velocity_z_west
- velocity_z_center * velocity_z_center + velocity_z_west * velocity_z_west
Jan Schäfer
committed
) * hxSquareInverse
) * this->dynamicalViscosity
// uT_21_y
+ ( ( velocity_y_northEast * velocity_x_north - velocity_y_southEast * velocity_x_south
- velocity_y_northWest * velocity_x_north + velocity_y_southWest * velocity_x_south
Jan Schäfer
committed
) * hxInverse * hyInverse / 4
+ ( velocity_x_north * velocity_x_center - velocity_x_center * velocity_x_south
+ velocity_x_center * velocity_x_center + velocity_x_south * velocity_x_south
Jan Schäfer
committed
) * hySquareInverse
) * this->dynamicalViscosity
// 3D vT_22_y
+ ( 4.0 / 3.0 * ( velocity_y_north * velocity_y_center - velocity_y_center * velocity_y_south
- velocity_y_center * velocity_y_center + velocity_y_south * velocity_y_south
) * hySquareInverse
- 2.0 / 3.0 * ( velocity_x_northEast * velocity_y_north - velocity_x_southEast * velocity_y_south
- velocity_x_northWest * velocity_y_north + velocity_x_southWest * velocity_y_south
) * hxInverse * hyInverse / 4
- 2.0 / 3.0 * ( velocity_z_upNorth * velocity_y_north - velocity_z_downNorth * velocity_y_north
- velocity_z_upSouth * velocity_y_south + velocity_z_downSouth * velocity_y_south
) * hyInverse * hzInverse / 4
) * this->dynamicalViscosity
// wT_23_y
+ ( ( velocity_y_upNorth * velocity_z_north - velocity_y_downNorth * velocity_y_north
- velocity_y_upSouth * velocity_z_south + velocity_y_downSouth * velocity_z_south
Jan Schäfer
committed
) * hyInverse * hzInverse / 4
+ ( velocity_z_north * velocity_z_center - velocity_z_center * velocity_z_south
- velocity_z_center * velocity_z_center + velocity_z_south * velocity_z_south
Jan Schäfer
committed
) * hySquareInverse
) * this->dynamicalViscosity
// uT_31_z
+ ( ( velocity_x_up * velocity_x_center - velocity_x_center * velocity_x_center
- velocity_x_center * velocity_x_down + velocity_x_down * velocity_x_down
Jan Schäfer
committed
) * hzSquareInverse
+ ( velocity_z_upEast * velocity_x_up - velocity_z_downEast * velocity_x_down
- velocity_z_upWest * velocity_x_up + velocity_z_downWest * velocity_x_down
Jan Schäfer
committed
) * hxInverse * hzInverse / 4
) * this->dynamicalViscosity
// T_32_z
+ ( ( velocity_z_upNorth * velocity_y_up - velocity_z_downNorth * velocity_y_down
- velocity_z_upSouth * velocity_y_up + velocity_z_downSouth * velocity_y_down
Jan Schäfer
committed
) * hyInverse * hzInverse / 4
+ ( velocity_x_up * velocity_y_center - velocity_x_center * velocity_y_down
- velocity_x_center * velocity_y_center + velocity_x_down * velocity_y_down
Jan Schäfer
committed
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
) * hzSquareInverse
) * this->dynamicalViscosity
// 3D T_33_z
+ ( 4.0 / 3.0 * ( velocity_z_up * velocity_z_center - velocity_z_center * velocity_z_down
- velocity_z_center * velocity_z_center + velocity_z_down * velocity_z_down
) * hzSquareInverse
- 2.0 / 3.0 * ( velocity_y_upNorth * velocity_z_up - velocity_y_downNorth * velocity_z_down
- velocity_y_upSouth * velocity_z_up + velocity_y_downSouth * velocity_z_down
) * hyInverse * hzInverse / 4
- 2.0 / 3.0 * ( velocity_x_upEast * velocity_z_up - velocity_x_downEast * velocity_z_down
- velocity_x_upWest * velocity_z_up + velocity_x_downWest * velocity_z_down
) * hxInverse * hzInverse / 4
) * this->dynamicalViscosity;
}
/*template< typename MeshEntity >
__cuda_callable__
Index getLinearSystemRowLength( const MeshType& mesh,
const IndexType& index,
const MeshEntity& entity ) const;
template< typename MeshEntity, typename Vector, typename MatrixRow >
__cuda_callable__
void updateLinearSystem( const RealType& time,
const RealType& tau,
const MeshType& mesh,
const IndexType& index,
const MeshEntity& entity,
const MeshFunctionType& u,
Vector& b,
MatrixRow& matrixRow ) const;*/
};
} //namespace TNL