Sub-Control Volume Face structure. More...

#include <fv1_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 global 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 global 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...

	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 = traits::NumCornersOfSCVF
	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	To

MathVector< worldDim >	vGlobalGrad [nsh]

MathVector< worldDim >	vGloPos [numCo]

MathVector< dim >	vLocalGrad [nsh]

MathVector< dim >	vLocPos [numCo]

MidID	vMidID [numCo]

number	vShape [nsh]

Friends
class	FV1Geometry_gen< TElem, TWorldDim, TCondensed >

Detailed Description

template<typename TElem, int TWorldDim, bool TCondensed>
class ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::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<typename TElem , int TWorldDim, bool TCondensed>

ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::SCVF ( )

inline

Member Function Documentation

◆ detJ()

template<typename TElem , int TWorldDim, bool TCondensed>

number ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::detJ ( ) const

inline

Determinant of Jacobian in integration point.

References ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::detj.

◆ from()

template<typename TElem , int TWorldDim, bool TCondensed>

size_t ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::from ( ) const

inline

index of SubControlVolume on one side of the scvf

References ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::From.

◆ global_corner()

template<typename TElem , int TWorldDim, bool TCondensed>

const MathVector<worldDim>& ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::global_corner ( size_t co ) const

inline

return global corner number i

◆ global_grad()

template<typename TElem , int TWorldDim, bool TCondensed>

const MathVector<worldDim>& ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::global_grad ( size_t sh ) const

inline

value of global gradient of shape function i in integration point

References ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::num_sh(), UG_ASSERT, and ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::vGlobalGrad.

◆ global_grad_vector()

template<typename TElem , int TWorldDim, bool TCondensed>

const MathVector<worldDim>* ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::global_grad_vector ( ) const

inline

vector of global gradients in ip point

References ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::vGlobalGrad.

◆ global_ip()

template<typename TElem , int TWorldDim, bool TCondensed>

const MathVector<worldDim>& ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::global_ip ( ) const

inline

global integration point of scvf

References ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::globalIP.

◆ JTInv()

template<typename TElem , int TWorldDim, bool TCondensed>

const MathMatrix<worldDim,dim>& ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::JTInv ( ) const

inline

Transposed Inverse of Jacobian in integration point.

References ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::JtInv.

◆ local_corner()

template<typename TElem , int TWorldDim, bool TCondensed>

const MathVector<dim>& ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::local_corner ( size_t co ) const

inline

return local corner number i

References ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::num_corners(), UG_ASSERT, and ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::vLocPos.

◆ local_grad()

template<typename TElem , int TWorldDim, bool TCondensed>

const MathVector<dim>& ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::local_grad ( size_t sh ) const

inline

value of local gradient of shape function i in integration point

References ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::num_sh(), UG_ASSERT, and ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::vLocalGrad.

◆ local_grad_vector()

template<typename TElem , int TWorldDim, bool TCondensed>

const MathVector<dim>* ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::local_grad_vector ( ) const

inline

vector of local gradients in ip point

References ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::vLocalGrad.

◆ local_ip()

template<typename TElem , int TWorldDim, bool TCondensed>

const MathVector<dim>& ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::local_ip ( ) const

inline

local integration point of scvf

References ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::localIP.

◆ normal()

template<typename TElem , int TWorldDim, bool TCondensed>

const MathVector<worldDim>& ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::normal ( ) const

inline

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

References ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::Normal.

◆ num_corners()

template<typename TElem , int TWorldDim, bool TCondensed>

size_t ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::num_corners ( ) const

inline

number of corners, that bound the scvf

References ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::numCo.

Referenced by ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::local_corner().

◆ num_ip()

template<typename TElem , int TWorldDim, bool TCondensed>

size_t ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::num_ip ( ) const

inline

number of integration points on scvf

References ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::nip.

◆ num_sh()

template<typename TElem , int TWorldDim, bool TCondensed>

size_t ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::num_sh ( ) const

inline

number of shape functions

References ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::nsh.

Referenced by ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::global_grad(), and ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::local_grad().

◆ shape()

template<typename TElem , int TWorldDim, bool TCondensed>

number ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::shape ( size_t sh ) const

inline

value of shape function i in integration point

References ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::vShape.

◆ shape_vector()

template<typename TElem , int TWorldDim, bool TCondensed>

const number* ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::shape_vector ( ) const

inline

vector of shape functions in ip point

References ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::vShape.

◆ to()

template<typename TElem , int TWorldDim, bool TCondensed>

size_t ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::to ( ) const

inline

index of SubControlVolume on one side of the scvf

References ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::To.

Friends And Related Function Documentation

◆ FV1Geometry_gen< TElem, TWorldDim, TCondensed >

template<typename TElem , int TWorldDim, bool TCondensed>

friend class FV1Geometry_gen< TElem, TWorldDim, TCondensed >

friend

Member Data Documentation

◆ detj

template<typename TElem , int TWorldDim, bool TCondensed>

number ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::detj

private

Referenced by ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::detJ().

◆ From

template<typename TElem , int TWorldDim, bool TCondensed>

size_t ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::From

private

Referenced by ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::from().

◆ globalIP

template<typename TElem , int TWorldDim, bool TCondensed>

MathVector<worldDim> ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::globalIP

private

Referenced by ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::global_ip().

◆ JtInv

template<typename TElem , int TWorldDim, bool TCondensed>

MathMatrix<worldDim,dim> ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::JtInv

private

Referenced by ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::JTInv().

◆ localIP

template<typename TElem , int TWorldDim, bool TCondensed>

MathVector<dim> ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::localIP

private

Referenced by ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::local_ip().

◆ Normal

template<typename TElem , int TWorldDim, bool TCondensed>

MathVector<worldDim> ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::Normal

private

Referenced by ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::normal().

◆ numCo

template<typename TElem , int TWorldDim, bool TCondensed>

const size_t ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::numCo = traits::NumCornersOfSCVF

static

Number of corners of scvf.

Referenced by ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::num_corners().

◆ To

template<typename TElem , int TWorldDim, bool TCondensed>

size_t ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::To

private

Referenced by ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::to().

◆ vGlobalGrad

template<typename TElem , int TWorldDim, bool TCondensed>

MathVector<worldDim> ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::vGlobalGrad[nsh]

private

Referenced by ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::global_grad(), and ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::global_grad_vector().

◆ vGloPos

template<typename TElem , int TWorldDim, bool TCondensed>

MathVector<worldDim> ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::vGloPos[numCo]

private

◆ vLocalGrad

template<typename TElem , int TWorldDim, bool TCondensed>

MathVector<dim> ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::vLocalGrad[nsh]

private

Referenced by ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::local_grad(), and ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::local_grad_vector().

◆ vLocPos

template<typename TElem , int TWorldDim, bool TCondensed>

MathVector<dim> ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::vLocPos[numCo]

private

Referenced by ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::local_corner().

◆ vMidID

template<typename TElem , int TWorldDim, bool TCondensed>

MidID ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::vMidID[numCo]

private

◆ vShape

template<typename TElem , int TWorldDim, bool TCondensed>

number ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::vShape[nsh]

private

Referenced by ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::shape(), and ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF::shape_vector().

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

ugbase/lib_disc/spatial_disc/disc_util/fv1_geom.h

Public Member Functions

Static Public Attributes

Private Attributes

Friends

Detailed Description

template<typename TElem, int TWorldDim, bool TCondensed> class ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::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()

◆ shape()

◆ shape_vector()

◆ to()

Friends And Related Function Documentation

◆ FV1Geometry_gen< TElem, TWorldDim, TCondensed >

Member Data Documentation

◆ detj

◆ From

◆ globalIP

◆ JtInv

◆ localIP

◆ Normal

◆ numCo

◆ To

◆ vGlobalGrad

◆ vGloPos

◆ vLocalGrad

◆ vLocPos

◆ vMidID

◆ vShape

template<typename TElem, int TWorldDim, bool TCondensed>
class ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::SCVF