Sub-Control Volume Face structure. More...

#include <fvcr_geom.h>

Public Member Functions
number	detJ () const
	Determinant of Jacobian in integration point. More...

size_t	from () const
	index of SubControlVolume on one side of the scvf More...

const MathVector< worldDim > &	global_corner (size_t co) const
	return glbal corner number i More...

const MathVector< worldDim > &	global_grad (size_t sh) const
	value of global gradient of shape function i in integration point More...

const MathVector< worldDim > *	global_grad_vector () const
	vector of gloabl gradients in ip point More...

const MathVector< worldDim > &	global_ip () const
	global integration point of scvf More...

const MathMatrix< worldDim, dim > &	JTInv () const
	Transposed Inverse of Jacobian in integration point. More...

const MathVector< dim > &	local_corner (size_t co) const
	return local corner number i More...

const MathVector< dim > &	local_grad (size_t sh) const
	value of local gradient of shape function i in integration point More...

const MathVector< dim > *	local_grad_vector () const
	vector of local gradients in ip point More...

const MathVector< dim > &	local_ip () const
	local integration point of scvf More...

const MathVector< worldDim > &	normal () const
	normal on scvf (points direction "from"->"to"). Norm is equal to area More...

size_t	num_corners () const
	number of corners, that bound the scvf More...

size_t	num_ip () const
	number of integration points on scvf More...

size_t	num_sh () const
	number of shape functions More...

void	operator= (const SCVF &s)

	SCVF ()

number	shape (size_t sh) const
	value of shape function i in integration point More...

const number *	shape_vector () const
	vector of shape functions in ip point More...

size_t	to () const
	index of SubControlVolume on one side of the scvf More...

Static Public Attributes
static const size_t	numCo = dim
	Number of corners of scvf. More...

Private Attributes
number	detj

size_t	From

MathVector< worldDim >	globalIP

MathMatrix< worldDim, dim >	JtInv

MathVector< dim >	localIP

MathVector< worldDim >	Normal

size_t	numSH

size_t	To

MathVector< worldDim >	vGlobalGrad [maxNSH]

MathVector< worldDim >	vGloPos [numCo]

MathVector< dim >	vLocalGrad [maxNSH]

MathVector< dim >	vLocPos [numCo]

number	vShape [maxNSH]

Friends
class	DimCRFVGeometry< dim, worldDim >

Detailed Description

template<int TDim, int TWorldDim = TDim>
class ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF

Sub-Control Volume Face structure.

Each finite element is cut by several sub-control volume faces. The idea is that the "dual" skeleton formed by the sub control volume faces of all elements again gives rise to a regular mesh with closed (lipschitz-bounded) control volumes. The SCVF are the boundary of the control volume. In computation the flux over each SCVF must be the same in both directions over the face in order to guarantee the conservation property.

Constructor & Destructor Documentation

◆ SCVF()

template<int TDim, int TWorldDim = TDim>

ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::SCVF ( )

inline

Member Function Documentation

◆ detJ()

template<int TDim, int TWorldDim = TDim>

number ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::detJ ( ) const

inline

Determinant of Jacobian in integration point.

References ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::detj.

◆ from()

template<int TDim, int TWorldDim = TDim>

size_t ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::from ( ) const

inline

index of SubControlVolume on one side of the scvf

References ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::From.

◆ global_corner()

template<int TDim, int TWorldDim = TDim>

const MathVector<worldDim>& ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::global_corner ( size_t co ) const

inline

return glbal corner number i

References ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::num_corners(), UG_ASSERT, and ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::vGloPos.

◆ global_grad()

template<int TDim, int TWorldDim = TDim>

const MathVector<worldDim>& ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::global_grad ( size_t sh ) const

inline

value of global gradient of shape function i in integration point

References ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::num_sh(), UG_ASSERT, and ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::vGlobalGrad.

◆ global_grad_vector()

template<int TDim, int TWorldDim = TDim>

const MathVector<worldDim>* ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::global_grad_vector ( ) const

inline

vector of gloabl gradients in ip point

References ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::vGlobalGrad.

◆ global_ip()

template<int TDim, int TWorldDim = TDim>

const MathVector<worldDim>& ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::global_ip ( ) const

inline

global integration point of scvf

References ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::globalIP.

◆ JTInv()

template<int TDim, int TWorldDim = TDim>

const MathMatrix<worldDim,dim>& ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::JTInv ( ) const

inline

Transposed Inverse of Jacobian in integration point.

References ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::JtInv.

◆ local_corner()

template<int TDim, int TWorldDim = TDim>

const MathVector<dim>& ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::local_corner ( size_t co ) const

inline

return local corner number i

References ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::num_corners(), UG_ASSERT, and ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::vLocPos.

◆ local_grad()

template<int TDim, int TWorldDim = TDim>

const MathVector<dim>& ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::local_grad ( size_t sh ) const

inline

value of local gradient of shape function i in integration point

References ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::num_sh(), UG_ASSERT, and ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::vLocalGrad.

◆ local_grad_vector()

template<int TDim, int TWorldDim = TDim>

const MathVector<dim>* ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::local_grad_vector ( ) const

inline

vector of local gradients in ip point

References ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::vLocalGrad.

◆ local_ip()

template<int TDim, int TWorldDim = TDim>

const MathVector<dim>& ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::local_ip ( ) const

inline

local integration point of scvf

References ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::localIP.

◆ normal()

template<int TDim, int TWorldDim = TDim>

const MathVector<worldDim>& ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::normal ( ) const

inline

normal on scvf (points direction "from"->"to"). Norm is equal to area

References ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::Normal.

◆ num_corners()

template<int TDim, int TWorldDim = TDim>

size_t ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::num_corners ( ) const

inline

number of corners, that bound the scvf

References ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::numCo.

Referenced by ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::global_corner(), and ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::local_corner().

◆ num_ip()

template<int TDim, int TWorldDim = TDim>

size_t ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::num_ip ( ) const

inline

number of integration points on scvf

References ug::DimCRFVGeometry< TDim, TWorldDim >::nip.

◆ num_sh()

template<int TDim, int TWorldDim = TDim>

size_t ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::num_sh ( ) const

inline

number of shape functions

References ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::numSH.

Referenced by ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::global_grad(), and ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::local_grad().

◆ operator=()

template<int TDim, int TWorldDim = TDim>

void ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::operator= ( const SCVF & s )

inline

◆ shape()

template<int TDim, int TWorldDim = TDim>

number ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::shape ( size_t sh ) const

inline

value of shape function i in integration point

References ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::vShape.

◆ shape_vector()

template<int TDim, int TWorldDim = TDim>

const number* ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::shape_vector ( ) const

inline

vector of shape functions in ip point

References ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::vShape.

◆ to()

template<int TDim, int TWorldDim = TDim>

size_t ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::to ( ) const

inline

index of SubControlVolume on one side of the scvf

References ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::To.

Friends And Related Function Documentation

◆ DimCRFVGeometry< dim, worldDim >

template<int TDim, int TWorldDim = TDim>

friend class DimCRFVGeometry< dim, worldDim >

friend

Member Data Documentation

◆ detj

template<int TDim, int TWorldDim = TDim>

number ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::detj

private

Referenced by ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::detJ().

◆ From

template<int TDim, int TWorldDim = TDim>

size_t ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::From

private

Referenced by ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::from().

◆ globalIP

template<int TDim, int TWorldDim = TDim>

MathVector<worldDim> ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::globalIP

private

Referenced by ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::global_ip().

◆ JtInv

template<int TDim, int TWorldDim = TDim>

MathMatrix<worldDim,dim> ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::JtInv

private

Referenced by ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::JTInv().

◆ localIP

template<int TDim, int TWorldDim = TDim>

MathVector<dim> ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::localIP

private

Referenced by ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::local_ip().

◆ Normal

template<int TDim, int TWorldDim = TDim>

MathVector<worldDim> ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::Normal

private

Referenced by ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::normal().

◆ numCo

template<int TDim, int TWorldDim = TDim>

const size_t ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::numCo = dim

static

Number of corners of scvf.

Referenced by ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::num_corners().

◆ numSH

template<int TDim, int TWorldDim = TDim>

size_t ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::numSH

private

Referenced by ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::num_sh().

◆ To

template<int TDim, int TWorldDim = TDim>

size_t ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::To

private

Referenced by ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::to().

◆ vGlobalGrad

template<int TDim, int TWorldDim = TDim>

MathVector<worldDim> ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::vGlobalGrad[maxNSH]

private

Referenced by ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::global_grad(), and ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::global_grad_vector().

◆ vGloPos

template<int TDim, int TWorldDim = TDim>

MathVector<worldDim> ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::vGloPos[numCo]

private

Referenced by ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::global_corner().

◆ vLocalGrad

template<int TDim, int TWorldDim = TDim>

MathVector<dim> ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::vLocalGrad[maxNSH]

private

Referenced by ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::local_grad(), and ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::local_grad_vector().

◆ vLocPos

template<int TDim, int TWorldDim = TDim>

MathVector<dim> ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::vLocPos[numCo]

private

Referenced by ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::local_corner().

◆ vShape

template<int TDim, int TWorldDim = TDim>

number ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::vShape[maxNSH]

private

Referenced by ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::shape(), and ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF::shape_vector().

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

ugbase/lib_disc/spatial_disc/disc_util/fvcr_geom.h

Public Member Functions

Static Public Attributes

Private Attributes

Friends

Detailed Description

template<int TDim, int TWorldDim = TDim> class ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF

Constructor & Destructor Documentation

◆ SCVF()

Member Function Documentation

◆ detJ()

◆ from()

◆ global_corner()

◆ global_grad()

◆ global_grad_vector()

◆ global_ip()

◆ JTInv()

◆ local_corner()

◆ local_grad()

◆ local_grad_vector()

◆ local_ip()

◆ normal()

◆ num_corners()

◆ num_ip()

◆ num_sh()

◆ operator=()

◆ shape()

◆ shape_vector()

◆ to()

Friends And Related Function Documentation

◆ DimCRFVGeometry< dim, worldDim >

Member Data Documentation

◆ detj

◆ From

◆ globalIP

◆ JtInv

◆ localIP

◆ Normal

◆ numCo

◆ numSH

◆ To

◆ vGlobalGrad

◆ vGloPos

◆ vLocalGrad

◆ vLocPos

◆ vShape

template<int TDim, int TWorldDim = TDim>
class ug::DimCRFVGeometry< TDim, TWorldDim >::SCVF