Auxiliary and specialized functions for elements derived from FluidElement. More...

#include <fluid_element_utilities.h>

Collaboration diagram for Kratos::FluidElementUtilities< TNumNodes >:

Public Member Functions
Life Cycle
	FluidElementUtilities ()=delete

	FluidElementUtilities (FluidElementUtilities const &rOther)=delete
	Deleted copy constructor. More...

	~FluidElementUtilities ()
	Destructor. More...

Operators
FluidElementUtilities &	operator= (FluidElementUtilities const &rOther)=delete
	Deleted assignment operator. More...

Static Public Member Functions
Operations
static void	GetStrainMatrix (const ShapeDerivatives2DType &rDNDX, BoundedMatrix< double, VoigtVector2DSize, 3 *TNumNodes > &rStrainMatrix)

static void	GetStrainMatrix (const ShapeDerivatives3DType &rDNDX, BoundedMatrix< double, VoigtVector3DSize, 4 *TNumNodes > &rStrainMatrix)

static void	GetNewtonianConstitutiveMatrix (const double DynamicViscosity, BoundedMatrix< double, VoigtVector2DSize, VoigtVector2DSize > &rConstitutiveMatrix)

static void	GetNewtonianConstitutiveMatrix (const double DynamicViscosity, BoundedMatrix< double, VoigtVector3DSize, VoigtVector3DSize > &rConstitutiveMatrix)

static void	VoigtTransformForProduct (const array_1d< double, 3 > &rVector, BoundedMatrix< double, 2, VoigtVector2DSize > &rVoigtMatrix)

static void	VoigtTransformForProduct (const array_1d< double, 3 > &rVector, BoundedMatrix< double, 3, VoigtVector3DSize > &rVoigtMatrix)

static void	SetNormalProjectionMatrix (const array_1d< double, 3 > &rUnitNormal, BoundedMatrix< double, 2, 2 > &rNormalProjMatrix)

static void	SetNormalProjectionMatrix (const array_1d< double, 3 > &rUnitNormal, BoundedMatrix< double, 3, 3 > &rNormalProjMatrix)

static void	SetTangentialProjectionMatrix (const array_1d< double, 3 > &rUnitNormal, BoundedMatrix< double, 2, 2 > &rTangProjMatrix)

static void	SetTangentialProjectionMatrix (const array_1d< double, 3 > &rUnitNormal, BoundedMatrix< double, 3, 3 > &rTangProjMatrix)

static void	DenseSystemSolve (const BoundedMatrix< double, 2, 2 > &rA, const array_1d< double, 2 > &rB, array_1d< double, 2 > &rX)

static void	DenseSystemSolve (const BoundedMatrix< double, 3, 3 > &rA, const array_1d< double, 3 > &rB, array_1d< double, 3 > &rX)

Type Definitions
using	ShapeDerivatives2DType = typename FluidElementData< 2, TNumNodes, false >::ShapeDerivativesType

using	ShapeDerivatives3DType = typename FluidElementData< 3, TNumNodes, false >::ShapeDerivativesType

constexpr static std::size_t	VoigtVector2DSize = FluidElementData<2,TNumNodes,false>::StrainSize

constexpr static std::size_t	VoigtVector3DSize = FluidElementData<3,TNumNodes,false>::StrainSize

	KRATOS_CLASS_POINTER_DEFINITION (FluidElementUtilities)
	Pointer definition of FluidElementUtilities. More...

Detailed Description

template<std::size_t TNumNodes>
class Kratos::FluidElementUtilities< TNumNodes >

Auxiliary and specialized functions for elements derived from FluidElement.

Member Typedef Documentation

◆ ShapeDerivatives2DType

template<std::size_t TNumNodes>

using Kratos::FluidElementUtilities< TNumNodes >::ShapeDerivatives2DType = typename FluidElementData<2,TNumNodes,false>::ShapeDerivativesType

◆ ShapeDerivatives3DType

template<std::size_t TNumNodes>

using Kratos::FluidElementUtilities< TNumNodes >::ShapeDerivatives3DType = typename FluidElementData<3,TNumNodes,false>::ShapeDerivativesType

Constructor & Destructor Documentation

◆ FluidElementUtilities() [1/2]

template<std::size_t TNumNodes>

Kratos::FluidElementUtilities< TNumNodes >::FluidElementUtilities ( )

delete

◆ FluidElementUtilities() [2/2]

template<std::size_t TNumNodes>

Kratos::FluidElementUtilities< TNumNodes >::FluidElementUtilities ( FluidElementUtilities< TNumNodes > const & rOther )

delete

Deleted copy constructor.

◆ ~FluidElementUtilities()

template<std::size_t TNumNodes>

Kratos::FluidElementUtilities< TNumNodes >::~FluidElementUtilities

Destructor.

Member Function Documentation

◆ DenseSystemSolve() [1/2]

template<std::size_t TNumNodes>

void Kratos::FluidElementUtilities< TNumNodes >::DenseSystemSolve	(	const BoundedMatrix< double, 2, 2 > &	rA,
		const array_1d< double, 2 > &	rB,
		array_1d< double, 2 > &	rX
	)

static

Invert a system with 2 unknowns, defined using bounded matrix types.

Parameters

[in]	rA	the 2x2 system matrix.
[in]	rB	the right hand side vector.
[out]	rX	the solution of the system.

◆ DenseSystemSolve() [2/2]

template<std::size_t TNumNodes>

void Kratos::FluidElementUtilities< TNumNodes >::DenseSystemSolve	(	const BoundedMatrix< double, 3, 3 > &	rA,
		const array_1d< double, 3 > &	rB,
		array_1d< double, 3 > &	rX
	)

static

Invert a system with 3 unknowns, defined using bounded matrix types.

Parameters

[in]	rA	the 3x3 system matrix.
[in]	rB	the right hand side vector.
[out]	rX	the solution of the system.

◆ GetNewtonianConstitutiveMatrix() [1/2]

template<std::size_t TNumNodes>

void Kratos::FluidElementUtilities< TNumNodes >::GetNewtonianConstitutiveMatrix	(	const double	DynamicViscosity,
		BoundedMatrix< double, VoigtVector2DSize, VoigtVector2DSize > &	rConstitutiveMatrix
	)

static

Auxiliary function that writes the constitutive matrix (C) for a Newtonian fluid using the given dynamic viscosity (mu). 2D variant.

Parameters

DynamicViscosity	Dynamic viscosity (mu) for the fluid.
rConstitutiveMatrix	computed constitutive matrix for the fluid (output).

◆ GetNewtonianConstitutiveMatrix() [2/2]

template<std::size_t TNumNodes>

void Kratos::FluidElementUtilities< TNumNodes >::GetNewtonianConstitutiveMatrix	(	const double	DynamicViscosity,
		BoundedMatrix< double, VoigtVector3DSize, VoigtVector3DSize > &	rConstitutiveMatrix
	)

static

Auxiliary function that writes the constitutive matrix (C) for a Newtonian fluid using the given dynamic viscosity (mu). 3D variant.

Parameters

DynamicViscosity	Dynamic viscosity (mu) for the fluid.
rConstitutiveMatrix	computed constitutive matrix for the fluid (output).

◆ GetStrainMatrix() [1/2]

template<std::size_t TNumNodes>

void Kratos::FluidElementUtilities< TNumNodes >::GetStrainMatrix	(	const ShapeDerivatives2DType &	rDNDX,
		BoundedMatrix< double, VoigtVector2DSize, 3 *TNumNodes > &	rStrainMatrix
	)

static

Auxiliary function that writes the strain matrix (B) relating nodal degrees of freedom and the symmetric gradient of velocity. Note that pressure Dofs are considered included in the array of nodal Dofs (and the corresponding rows set to zero). 2D variant.

Parameters

rDNDX	Shape function gradients evaluated at the current integration point.
rStrainMatrix	computed strain matrix for the current integration point (output).

◆ GetStrainMatrix() [2/2]

template<std::size_t TNumNodes>

void Kratos::FluidElementUtilities< TNumNodes >::GetStrainMatrix	(	const ShapeDerivatives3DType &	rDNDX,
		BoundedMatrix< double, VoigtVector3DSize, 4 *TNumNodes > &	rStrainMatrix
	)

static

Auxiliary function that writes the strain matrix (B) relating nodal degrees of freedom and the symmetric gradient of velocity. Note that pressure Dofs are considered included in the array of nodal Dofs (and the corresponding rows set to zero). 2D variant.

Parameters

rDNDX	Shape function gradients evaluated at the current integration point.
rStrainMatrix	computed strain matrix for the current integration point (output).

◆ KRATOS_CLASS_POINTER_DEFINITION()

template<std::size_t TNumNodes>

Kratos::FluidElementUtilities< TNumNodes >::KRATOS_CLASS_POINTER_DEFINITION ( FluidElementUtilities< TNumNodes > )

Pointer definition of FluidElementUtilities.

◆ operator=()

template<std::size_t TNumNodes>

FluidElementUtilities& Kratos::FluidElementUtilities< TNumNodes >::operator= ( FluidElementUtilities< TNumNodes > const & rOther )

delete

Deleted assignment operator.

◆ SetNormalProjectionMatrix() [1/2]

template<std::size_t TNumNodes>

void Kratos::FluidElementUtilities< TNumNodes >::SetNormalProjectionMatrix	(	const array_1d< double, 3 > &	rUnitNormal,
		BoundedMatrix< double, 2, 2 > &	rNormalProjMatrix
	)

static

This function sets the normal projection matrix as the given unit normal outer product.

Parameters

rUnitNormal	reference to the unit normal vector
rNormProjMatrix	reference to the normal projection matrix

◆ SetNormalProjectionMatrix() [2/2]

template<std::size_t TNumNodes>

void Kratos::FluidElementUtilities< TNumNodes >::SetNormalProjectionMatrix	(	const array_1d< double, 3 > &	rUnitNormal,
		BoundedMatrix< double, 3, 3 > &	rNormalProjMatrix
	)

static

This function sets the normal projection matrix as the given unit normal outer product.

Parameters

rUnitNormal	reference to the unit normal vector
rNormalProjMatrix	reference to the normal projection matrix

◆ SetTangentialProjectionMatrix() [1/2]

template<std::size_t TNumNodes>

void Kratos::FluidElementUtilities< TNumNodes >::SetTangentialProjectionMatrix	(	const array_1d< double, 3 > &	rUnitNormal,
		BoundedMatrix< double, 2, 2 > &	rTangProjMatrix
	)

static

This function sets the tangential projection matrix as the identity matrix minus the given unit normal outer product.

Parameters

rUnitNormal	reference to the unit normal vector
rTangProjMatrix	reference to the normal projection matrix

◆ SetTangentialProjectionMatrix() [2/2]

template<std::size_t TNumNodes>

void Kratos::FluidElementUtilities< TNumNodes >::SetTangentialProjectionMatrix	(	const array_1d< double, 3 > &	rUnitNormal,
		BoundedMatrix< double, 3, 3 > &	rTangProjMatrix
	)

static

This function sets the tangential projection matrix as the identity matrix minus the given unit normal outer product.

Parameters

rUnitNormal	reference to the unit normal vector
rTangProjMatrix	reference to the normal projection matrix

◆ VoigtTransformForProduct() [1/2]

template<std::size_t TNumNodes>

void Kratos::FluidElementUtilities< TNumNodes >::VoigtTransformForProduct	(	const array_1d< double, 3 > &	rVector,
		BoundedMatrix< double, 2, VoigtVector2DSize > &	rVoigtMatrix
	)

static

This function transforms a vector n into a matrix P that can be used to compute matrix-vector product A*n for a symmetric matrix A expressed in Voigt notation. If a is the Voigt-notation representation of matrix A, A*n == P*a. This is the 2D variant.

Parameters

rVector	the vector to transform.
rVoigtMatrix	the transformed matrix (output).

◆ VoigtTransformForProduct() [2/2]

template<std::size_t TNumNodes>

void Kratos::FluidElementUtilities< TNumNodes >::VoigtTransformForProduct	(	const array_1d< double, 3 > &	rVector,
		BoundedMatrix< double, 3, VoigtVector3DSize > &	rVoigtMatrix
	)

static

This function transforms a vector n into a matrix P that can be used to compute matrix-vector product A*n for a symmetric matrix A expressed in Voigt notation. If a is the Voigt-notation representation of matrix A, A*n == P*a. This is the 3D variant.

Parameters

rVector	the vector to transform.
rVoigtMatrix	the transformed matrix (output).

Member Data Documentation

◆ VoigtVector2DSize

template<std::size_t TNumNodes>

constexpr static std::size_t Kratos::FluidElementUtilities< TNumNodes >::VoigtVector2DSize = FluidElementData<2,TNumNodes,false>::StrainSize

staticconstexpr

◆ VoigtVector3DSize

template<std::size_t TNumNodes>

constexpr static std::size_t Kratos::FluidElementUtilities< TNumNodes >::VoigtVector3DSize = FluidElementData<3,TNumNodes,false>::StrainSize

staticconstexpr

The documentation for this class was generated from the following files:

/home/runner/work/Documentation/Documentation/master/applications/FluidDynamicsApplication/custom_utilities/fluid_element_utilities.h
/home/runner/work/Documentation/Documentation/master/applications/FluidDynamicsApplication/custom_utilities/fluid_element_utilities.cpp

Public Member Functions

Static Public Member Functions

Type Definitions

Detailed Description

template<std::size_t TNumNodes> class Kratos::FluidElementUtilities< TNumNodes >

Member Typedef Documentation

◆ ShapeDerivatives2DType

◆ ShapeDerivatives3DType

Constructor & Destructor Documentation

◆ FluidElementUtilities() [1/2]

◆ FluidElementUtilities() [2/2]

◆ ~FluidElementUtilities()

Member Function Documentation

◆ DenseSystemSolve() [1/2]

◆ DenseSystemSolve() [2/2]

◆ GetNewtonianConstitutiveMatrix() [1/2]

◆ GetNewtonianConstitutiveMatrix() [2/2]

◆ GetStrainMatrix() [1/2]

◆ GetStrainMatrix() [2/2]

◆ KRATOS_CLASS_POINTER_DEFINITION()

◆ operator=()

◆ SetNormalProjectionMatrix() [1/2]

◆ SetNormalProjectionMatrix() [2/2]

◆ SetTangentialProjectionMatrix() [1/2]

◆ SetTangentialProjectionMatrix() [2/2]

◆ VoigtTransformForProduct() [1/2]

◆ VoigtTransformForProduct() [2/2]

Member Data Documentation

◆ VoigtVector2DSize

◆ VoigtVector3DSize

template<std::size_t TNumNodes>
class Kratos::FluidElementUtilities< TNumNodes >