CFEMStandardBoundaryFace Class Reference

Class to define a FEM standard boundary face. More...

#include <fem_standard_element.hpp>

Inheritance diagram for CFEMStandardBoundaryFace:

Public Member Functions
	CFEMStandardBoundaryFace (unsigned short val_VTK_TypeFace, unsigned short val_VTK_TypeElem, unsigned short val_nPolyElem, bool val_constJac, bool val_swapFaceInElement, CConfig *config, unsigned short val_orderExact=0)
	Alternative constructor.
	CFEMStandardBoundaryFace (const CFEMStandardBoundaryFace &other)
	Copy constructor.
CFEMStandardBoundaryFace &	operator= (const CFEMStandardBoundaryFace &other)
	Assignment operator.
const su2double *	GetDrBasisElemIntegration (void) const
	Function, which makes available the r-derivatives of the element basis functions in the integration points.
const su2double *	GetDsBasisElemIntegration (void) const
	Function, which makes available the s-derivatives of the element basis functions in the integration points.
const su2double *	GetDtBasisElemIntegration (void) const
	Function, which makes available the t-derivatives of the element basis functions in the integration points.
const su2double *	GetMatDerBasisElemIntegration (void) const
	Function, which makes available the matrix with the derivatives of the element basis functions in the integration points.
const su2double *	GetMatDerBasisElemIntegrationTranspose (void) const
	Function, which makes available the transpose of the matrix with the derivatives of the element basis functions in the integration points.
const su2double *	GetBasisFaceIntegration (void) const
	Function, which makes available the face basis functions in the integration points.
const su2double *	GetBasisFaceIntegrationTranspose (void) const
	Function, which makes available transpose matrix of the face basis functions in the integration points.
const su2double *	GetDrBasisFaceIntegration (void) const
	Function, which makes available the r-derivatives of the face basis functions in the integration points.
const su2double *	GetDsBasisFaceIntegration (void) const
	Function, which makes available the s-derivatives of the face basis functions in the integration points.
unsigned short	GetNDOFsElem (void) const
	Function, which makes available the number of DOFs of the adjacent element.
unsigned short	GetNDOFsFace (void) const
	Function, which makes available the number of DOFs of the face.
unsigned short	GetNSubFaces (void) const
	Function, which makes available the number of linear subfaces used for plotting, among others.
unsigned short	GetNDOFsPerSubFace (void) const
	Function, which makes available the number of DOFs of a linear subface, used for plotting, among others, plotting.
su2double	GetPenaltyConstant (void) const
	Function, which makes available the penalty constant for this standard face.
const unsigned short *	GetSubFaceConn (void) const
	Function, which makes available the the connectivity of the linear subfaces as a const pointer.
bool	SameStandardBoundaryFace (unsigned short val_VTK_TypeFace, bool val_constJac, unsigned short val_VTK_TypeElem, unsigned short val_nPolyElem, bool val_swapFaceInElem)
	Function, which checks if the function arguments correspond to this standard face.
passivedouble	WorkEstimateMetis (CConfig *config)
	Function, which estimates the amount of work for an element of this type. This information is used to determine a well balanced partition.
passivedouble	WorkEstimateMetisWallFunctions (CConfig *config, const unsigned short nPointsWF)
	Function, which estimates the additional amount of work for an element of this type when a wall function treatment is used. This information is used to determine a well balanced partition.
Public Member Functions inherited from CFEMStandardElementBase
	CFEMStandardElementBase ()=default
	Constructor. Nothing to be done.
virtual	~CFEMStandardElementBase ()=default
	Destructor. Nothing to be done, because the vectors are deleted automatically.
unsigned short	GetVTK_Type (void) const
	Function, which makes available the type of the element.
const su2double *	GetWeightsIntegration (void) const
	Function, which makes available the weights in the integration points.
unsigned short	GetNIntegration (void) const
	Function, which makes available the number of integration points for this standard element.
unsigned short	GetOrderExact (void) const
	Function, which makes available the polynomial order that must be integrated exactly.
void	GradVandermonde1D (unsigned short nDOFs, const vector< su2double > &r, vector< su2double > &VDr)
	Function, which computes the gradient of the Vandermonde matrix for a standard 1D edge.
void	Vandermonde1D (unsigned short nDOFs, const vector< su2double > &r, vector< su2double > &V)
	Function, which computes the Vandermonde matrix for a standard 1D edge.

Additional Inherited Members
Static Public Member Functions inherited from CFEMStandardElementBase
static unsigned short	GetNDOFsStatic (unsigned short VTK_Type, unsigned short nPoly, unsigned long typeErrorMessage=0)
	Static function, which makes available the number of DOFs for an element corresponding to the arguments.
static void	InverseMatrix (unsigned short n, vector< su2double > &A)
	Static function, which computes the inverse of the given square matrix.
Protected Member Functions inherited from CFEMStandardElementBase
	CFEMStandardElementBase (unsigned short val_VTK_Type, unsigned short val_nPoly, bool val_constJac, CConfig *config, unsigned short val_orderExact)
	Alternative constructor.
void	CheckSumDerivativesLagrangianBasisFunctions (const unsigned short nPoints, const unsigned short nDOFs, const vector< su2double > &dLagBasisPoints)
	Function, which checks if the sum of the given derivatives of the Lagrangian interpolation functions is 0 in the points.
void	CheckSumLagrangianBasisFunctions (const unsigned short nPoints, const unsigned short nDOFs, vector< su2double > &lagBasisPoints)
	Function, which checks if the sum of the given Lagrangian interpolation functions is 1 in the points.
void	Copy (const CFEMStandardElementBase &other)
	Function, which copies the data of the given object into the current object.
void	DerivativesBasisFunctionsAdjacentElement (unsigned short VTK_TypeElem, unsigned short nPolyElem, const bool swapFaceInElement, unsigned short &nDOFsElem, vector< su2double > &drLagBasisIntegration, vector< su2double > &dsLagBasisIntegration, vector< su2double > &dtLagBasisIntegration)
	Function, which computes the values of the derivatives of the basis functions of the adjacent elements in the integration points of the face.
void	GradVandermonde2D_Triangle (unsigned short nPoly, unsigned short nDOFs, const vector< su2double > &r, const vector< su2double > &s, vector< su2double > &VDr, vector< su2double > &VDs)
	Function, which computes the gradients of the Vandermonde matrix for a standard triangle.
void	GradVandermonde2D_Quadrilateral (unsigned short nPoly, unsigned short nDOFs, const vector< su2double > &r, const vector< su2double > &s, vector< su2double > &VDr, vector< su2double > &VDs)
	Function, which computes the gradients of the Vandermonde matrix for a standard quadrilateral.
void	GradVandermonde3D_Tetrahedron (unsigned short nPoly, unsigned short nDOFs, const vector< su2double > &r, const vector< su2double > &s, const vector< su2double > &t, vector< su2double > &VDr, vector< su2double > &VDs, vector< su2double > &VDt)
	Function, which computes the gradients of the Vandermonde matrix for a standard tetrahedron.
void	GradVandermonde3D_Pyramid (unsigned short nPoly, unsigned short nDOFs, const vector< su2double > &r, const vector< su2double > &s, const vector< su2double > &t, vector< su2double > &VDr, vector< su2double > &VDs, vector< su2double > &VDt)
	Function, which computes the gradients of the Vandermonde matrix for a standard pyramid.
void	GradVandermonde3D_Prism (unsigned short nPoly, unsigned short nDOFs, const vector< su2double > &r, const vector< su2double > &s, const vector< su2double > &t, vector< su2double > &VDr, vector< su2double > &VDs, vector< su2double > &VDt)
	Function, which computes the gradients of the Vandermonde matrix for a standard prism.
void	GradVandermonde3D_Hexahedron (unsigned short nPoly, unsigned short nDOFs, const vector< su2double > &r, const vector< su2double > &s, const vector< su2double > &t, vector< su2double > &VDr, vector< su2double > &VDs, vector< su2double > &VDt)
	Function, which computes the gradients of the Vandermonde matrix for a standard hexahedron.
void	LagrangianBasisFunctionAndDerivativesLine (const unsigned short nPoly, const vector< su2double > &rPoints, unsigned short &nDOFs, vector< su2double > &rDOFs, vector< su2double > &matVandermondeInv, vector< su2double > &lagBasisPoints, vector< su2double > &drLagBasisPoints)
	Function, which determines the values of the Lagrangian interpolation functions and its derivatives in the given set of points for a line.
void	LagrangianBasisFunctionAndDerivativesTriangle (const unsigned short nPoly, const vector< su2double > &rPoints, const vector< su2double > &sPoints, unsigned short &nDOFs, vector< su2double > &rDOFs, vector< su2double > &sDOFs, vector< su2double > &matVandermondeInv, vector< su2double > &lagBasisPoints, vector< su2double > &drLagBasisPoints, vector< su2double > &dsLagBasisPoints)
	Function, which determines the values of the Lagrangian interpolation functions and its derivatives in the given set of points for a triangle.
void	LagrangianBasisFunctionAndDerivativesQuadrilateral (const unsigned short nPoly, const vector< su2double > &rPoints, const vector< su2double > &sPoints, unsigned short &nDOFs, vector< su2double > &rDOFs, vector< su2double > &sDOFs, vector< su2double > &matVandermondeInv, vector< su2double > &lagBasisPoints, vector< su2double > &drLagBasisPoints, vector< su2double > &dsLagBasisPoints)
	Function, which determines the values of the Lagrangian interpolation functions and its derivatives in the given set of points for a quadrilateral.
void	LagrangianBasisFunctionAndDerivativesTetrahedron (const unsigned short nPoly, const vector< su2double > &rPoints, const vector< su2double > &sPoints, const vector< su2double > &tPoints, unsigned short &nDOFs, vector< su2double > &rDOFs, vector< su2double > &sDOFs, vector< su2double > &tDOFs, vector< su2double > &matVandermondeInv, vector< su2double > &lagBasisPoints, vector< su2double > &drLagBasisPoints, vector< su2double > &dsLagBasisPoints, vector< su2double > &dtLagBasisPoints)
	Function, which determines the values of the Lagrangian interpolation functions and its derivatives in the given set of points for a tetrahedron.
void	LagrangianBasisFunctionAndDerivativesPyramid (const unsigned short nPoly, const vector< su2double > &rPoints, const vector< su2double > &sPoints, const vector< su2double > &tPoints, unsigned short &nDOFs, vector< su2double > &rDOFs, vector< su2double > &sDOFs, vector< su2double > &tDOFs, vector< su2double > &matVandermondeInv, vector< su2double > &lagBasisPoints, vector< su2double > &drLagBasisPoints, vector< su2double > &dsLagBasisPoints, vector< su2double > &dtLagBasisPoints)
	Function, which determines the values of the Lagrangian interpolation functions and its derivatives in the given set of points for a pyramid.
void	LagrangianBasisFunctionAndDerivativesPrism (const unsigned short nPoly, const vector< su2double > &rPoints, const vector< su2double > &sPoints, const vector< su2double > &tPoints, unsigned short &nDOFs, vector< su2double > &rDOFs, vector< su2double > &sDOFs, vector< su2double > &tDOFs, vector< su2double > &matVandermondeInv, vector< su2double > &lagBasisPoints, vector< su2double > &drLagBasisPoints, vector< su2double > &dsLagBasisPoints, vector< su2double > &dtLagBasisPoints)
	Function, which determines the values of the Lagrangian interpolation functions and its derivatives in the given set of points for a prism.
void	LagrangianBasisFunctionAndDerivativesHexahedron (const unsigned short nPoly, const vector< su2double > &rPoints, const vector< su2double > &sPoints, const vector< su2double > &tPoints, unsigned short &nDOFs, vector< su2double > &rDOFs, vector< su2double > &sDOFs, vector< su2double > &tDOFs, vector< su2double > &matVandermondeInv, vector< su2double > &lagBasisPoints, vector< su2double > &drLagBasisPoints, vector< su2double > &dsLagBasisPoints, vector< su2double > &dtLagBasisPoints)
	Function, which determines the values of the Lagrangian interpolation functions and its derivatives in the given set of points for a hexahedron.
void	MatMulRowMajor (const unsigned short nDOFs, const unsigned short nPoints, const vector< su2double > &A, const vector< su2double > &B, vector< su2double > &C)
	Function, which carries out a matrix matrix multiplication to obtain data in points and stores the result row major order.
void	SubConnForPlottingLine (const unsigned short nPoly, vector< unsigned short > &subConn)
	Function, which computes the local connectivity of linear subelements of a line, which can be used for plotting.
void	SubConnForPlottingQuadrilateral (const unsigned short nPoly, vector< unsigned short > &subConn)
	Function, which computes the local connectivity of linear subelements of a quadrilateral, which can be used for plotting.
void	SubConnForPlottingTriangle (const unsigned short nPoly, vector< unsigned short > &subConn)
	Function, which computes the local connectivity of linear subelements of a triangle, which can be used for plotting.
void	Vandermonde2D_Triangle (unsigned short nPoly, unsigned short nDOFs, const vector< su2double > &r, const vector< su2double > &s, vector< su2double > &V)
	Function, which computes the Vandermonde matrix for a standard triangle.
void	Vandermonde2D_Quadrilateral (unsigned short nPoly, unsigned short nDOFs, const vector< su2double > &r, const vector< su2double > &s, vector< su2double > &V)
	Function, which computes the Vandermonde matrix for a standard quadrilateral.
void	Vandermonde3D_Tetrahedron (unsigned short nPoly, unsigned short nDOFs, const vector< su2double > &r, const vector< su2double > &s, const vector< su2double > &t, vector< su2double > &V)
	Function, which computes the Vandermonde matrix for a standard tetrahedron.
void	Vandermonde3D_Pyramid (unsigned short nPoly, unsigned short nDOFs, const vector< su2double > &r, const vector< su2double > &s, const vector< su2double > &t, vector< su2double > &V)
	Function, which computes the Vandermonde matrix for a standard pyramid.
void	Vandermonde3D_Prism (unsigned short nPoly, unsigned short nDOFs, const vector< su2double > &r, const vector< su2double > &s, const vector< su2double > &t, vector< su2double > &V)
	Function, which computes the Vandermonde matrix for a standard prism.
void	Vandermonde3D_Hexahedron (unsigned short nPoly, unsigned short nDOFs, const vector< su2double > &r, const vector< su2double > &s, const vector< su2double > &t, vector< su2double > &V)
	Function, which computes the Vandermonde matrix for a standard hexahedron.
su2double	ViscousPenaltyParameter (const unsigned short VTK_TypeElem, const unsigned short nPolyElem) const
	Function, which computes the constant in the penalty terms for a a viscous discretization.
Protected Attributes inherited from CFEMStandardElementBase
unsigned short	VTK_Type
	Element type using the VTK convention.
unsigned short	orderExact
	Polynomial order that must be integrated exactly by the integration rule.
unsigned short	nIntegration
	Number of points used in the numerical integration.
bool	constJacobian
	Whether or not the element has a constant Jacobian.
vector< su2double >	rIntegration
	r-location of the integration points for this standard element.
vector< su2double >	sIntegration
	s-location of the integration points for this standard element, if needed.
vector< su2double >	tIntegration
	t-location of the integration points for this standard element, if needed.
vector< su2double >	wIntegration
	The weights of the integration points for this standard element.

Detailed Description

Class to define a FEM standard boundary face.

Author

E. van der Weide

Version

8.5.0 "Harrier"

Constructor & Destructor Documentation

CFEMStandardBoundaryFace() [1/2]

CFEMStandardBoundaryFace::CFEMStandardBoundaryFace	(	unsigned short	val_VTK_TypeFace,
		unsigned short	val_VTK_TypeElem,
		unsigned short	val_nPolyElem,
		bool	val_constJac,
		bool	val_swapFaceInElement,
		CConfig *	config,
		unsigned short	val_orderExact = 0
	)

Alternative constructor.

Parameters

[in]	val_VTK_TypeFace	- The type of the face using the VTK convention.
[in]	val_VTK_TypeElem	- Type of the element adjacent to the face using the VTK convention.
[in]	val_nPolyElem	- Polynomial degree of the element adjacent to the face.
[in]	val_constJac	- Whether or not the Jacobians are constant.
[in]	val_swapFaceInElement	- Whether or not the connectivity of the face must be swapped compared to the face of the corresponding standard element adjacent to the face.
[in]	config	- Object, which contains the input parameters.
[in]	val_orderExact	- Default argument. If specified, it contains the order of the polynomials that must be integrated exactly by the integration rule.

CFEMStandardBoundaryFace() [2/2]

CFEMStandardBoundaryFace::CFEMStandardBoundaryFace ( const CFEMStandardBoundaryFace &  other )

inline

Copy constructor.

Parameters

[in]

other

- Object, whose data must be copied.

Member Function Documentation

GetBasisFaceIntegration()

const su2double * CFEMStandardBoundaryFace::GetBasisFaceIntegration ( void  ) const

inline

Function, which makes available the face basis functions in the integration points.

Returns

The pointer to data, which stores this information.

GetBasisFaceIntegrationTranspose()

const su2double * CFEMStandardBoundaryFace::GetBasisFaceIntegrationTranspose ( void  ) const

inline

Function, which makes available transpose matrix of the face basis functions in the integration points.

Returns

The pointer to data, which stores this information.

GetDrBasisElemIntegration()

const su2double * CFEMStandardBoundaryFace::GetDrBasisElemIntegration ( void  ) const

inline

Function, which makes available the r-derivatives of the element basis functions in the integration points.

Returns

The pointer to data, which stores this information.

GetDrBasisFaceIntegration()

const su2double * CFEMStandardBoundaryFace::GetDrBasisFaceIntegration ( void  ) const

inline

Function, which makes available the r-derivatives of the face basis functions in the integration points.

Returns

The pointer to data, which stores this information.

GetDsBasisElemIntegration()

const su2double * CFEMStandardBoundaryFace::GetDsBasisElemIntegration ( void  ) const

inline

Function, which makes available the s-derivatives of the element basis functions in the integration points.

Returns

The pointer to data, which stores this information.

GetDsBasisFaceIntegration()

const su2double * CFEMStandardBoundaryFace::GetDsBasisFaceIntegration ( void  ) const

inline

Function, which makes available the s-derivatives of the face basis functions in the integration points.

Returns

The pointer to data, which stores this information.

GetDtBasisElemIntegration()

const su2double * CFEMStandardBoundaryFace::GetDtBasisElemIntegration ( void  ) const

inline

Function, which makes available the t-derivatives of the element basis functions in the integration points.

Returns

The pointer to data, which stores this information.

GetMatDerBasisElemIntegration()

const su2double * CFEMStandardBoundaryFace::GetMatDerBasisElemIntegration ( void  ) const

inline

Function, which makes available the matrix with the derivatives of the element basis functions in the integration points.

Returns

The pointer to data, which stores this information.

GetMatDerBasisElemIntegrationTranspose()

const su2double * CFEMStandardBoundaryFace::GetMatDerBasisElemIntegrationTranspose ( void  ) const

inline

Function, which makes available the transpose of the matrix with the derivatives of the element basis functions in the integration points.

Returns

The const pointer to data, which stores this information.

GetNDOFsElem()

unsigned short CFEMStandardBoundaryFace::GetNDOFsElem ( void  ) const

inline

Function, which makes available the number of DOFs of the adjacent element.

Returns

The number of DOFs of the element.

GetNDOFsFace()

unsigned short CFEMStandardBoundaryFace::GetNDOFsFace ( void  ) const

inline

Function, which makes available the number of DOFs of the face.

Returns

The number of DOFs of the face.

GetNDOFsPerSubFace()

unsigned short CFEMStandardBoundaryFace::GetNDOFsPerSubFace

(

void

)

const

Function, which makes available the number of DOFs of a linear subface, used for plotting, among others, plotting.

Returns

The number of DOFs of a linear subfaces of the face.

GetNSubFaces()

unsigned short CFEMStandardBoundaryFace::GetNSubFaces ( void  ) const

inline

Function, which makes available the number of linear subfaces used for plotting, among others.

Returns

The number of linear subfaces of the face.

GetPenaltyConstant()

su2double CFEMStandardBoundaryFace::GetPenaltyConstant ( void  ) const

inline

Function, which makes available the penalty constant for this standard face.

Returns

The penalty constant.

GetSubFaceConn()

const unsigned short * CFEMStandardBoundaryFace::GetSubFaceConn ( void  ) const

inline

Function, which makes available the the connectivity of the linear subfaces as a const pointer.

Returns

The pointer to the local connectivity of the linear subfaces.

operator=()

CFEMStandardBoundaryFace & CFEMStandardBoundaryFace::operator= ( const CFEMStandardBoundaryFace &  other )

inline

Assignment operator.

Parameters

[in]

other

- Object, to which this object must be assigned.

Returns

The current object, after the member variables were assigned the correct value.

SameStandardBoundaryFace()

bool CFEMStandardBoundaryFace::SameStandardBoundaryFace	(	unsigned short	val_VTK_TypeFace,
		bool	val_constJac,
		unsigned short	val_VTK_TypeElem,
		unsigned short	val_nPolyElem,
		bool	val_swapFaceInElem
	)

Function, which checks if the function arguments correspond to this standard face.

Parameters

[in]	val_VTK_TypeFace	- The type of the face using the VTK convention.
[in]	val_constJac	- Whether or not the Jacobians are constant.
[in]	val_VTK_TypeElem	- Type of the element adjacent to the face using the VTK convention.
[in]	val_nPolyElem	- Polynomial degree of the element adjacent to the face.
[in]	val_swapFaceInElem	- Whether or not the connectivity of the face must be swapped w.r.t. the connectivity of face of the adjacent element.

WorkEstimateMetis()

passivedouble CFEMStandardBoundaryFace::WorkEstimateMetis

(

CConfig *

config

)

Function, which estimates the amount of work for an element of this type. This information is used to determine a well balanced partition.

Parameters

[in]

config

- Object, which contains the input parameters.

WorkEstimateMetisWallFunctions()

passivedouble CFEMStandardBoundaryFace::WorkEstimateMetisWallFunctions	(	CConfig *	config,
		const unsigned short	nPointsWF
	)

Function, which estimates the additional amount of work for an element of this type when a wall function treatment is used. This information is used to determine a well balanced partition.

Parameters

[in]	config	- Object, which contains the input parameters.
[in]	nPointsWF	- Number of points to discretize the wall model.

---

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

• Common/include/fem/fem_standard_element.hpp
• Common/src/fem/fem_standard_element.cpp
• Common/src/fem/fem_work_estimate_metis.cpp