Class for the main operations on the faces of a discontinuous Galerkin element. More...

#include <face_handler_DG.hpp>

Inheritance diagram for FaceHandlerDG< dim >:

Collaboration diagram for FaceHandlerDG< dim >:

[legend]

Public Member Functions
	FaceHandlerDG (const unsigned int degree)
	Constructor.

	FaceHandlerDG (FaceHandlerDG< dim > &FaceHandlerDG)=default
	Default copy constructor.

	FaceHandlerDG (const FaceHandlerDG< dim > &FaceHandlerDG)=default
	Default const copy constructor.

	FaceHandlerDG (FaceHandlerDG< dim > &&FaceHandlerDG)=default
	Default move constructor.

void	reinit (const typename dealii::DoFHandler< dim >::active_cell_iterator &new_cell, const unsigned int new_edge)
	Reinit objects on the current new_cell and new_edge.

dealii::Point< dim >	quadrature_real (const unsigned int q) const override
	Return the \(q\)-th spatial quadrature point position on the actual element.

dealii::Point< dim >	quadrature_ref (const unsigned int q) const override
	Return the \(q\)-th spatial quadrature point position on the reference element.

double	quadrature_weight (const unsigned int q) const override
	Return the quadrature weight associated to the \(q\)-th quadrature point.

int	corresponding_neigh_index (const unsigned int q, const FaceHandlerDG< dim > &FaceHandlerDG_neigh) const
	To manually obtain the associated quadrature point index in the neighbor element on the shared face.

dealii::Tensor< 1, dim >	get_normal () const
	Outward normal vector on the current element and face.

double	get_measure () const
	Measure of face.

virtual	~FaceHandlerDG ()=default
	Destructor.

double	get_measure () const
	Specialization to measure the face in two dimensions (i.e., length of a segment).

double	get_measure () const
	Specialization to measure the area of the face for a three dimensional tethraedron (i.e., area of a triangle).

Public Member Functions inherited from VolumeHandlerDG< dim >
	VolumeHandlerDG (const unsigned int degree)
	Constructor.

	VolumeHandlerDG (VolumeHandlerDG< dim > &VolumeHandlerDG)=default
	Default copy constructor.

	VolumeHandlerDG (const VolumeHandlerDG< dim > &VolumeHandlerDG)=default
	Default const copy constructor.

	VolumeHandlerDG (VolumeHandlerDG< dim > &&VolumeHandlerDG)=default
	Default move constructor.

void	reinit (const typename dealii::DoFHandler< dim >::active_cell_iterator &new_cell)
	Reinit objects on the current new_cell.

dealii::Tensor< 2, dim >	get_jacobian_inverse () const
	Inverse of the Jacobian of the reference-to-actual transformation.

unsigned int	get_n_quad_points () const
	Get the number of quadrature points on the current element.

virtual	~VolumeHandlerDG ()=default
	Destructor.

Private Attributes
unsigned int	edge
	Index of the actual face.

const double	tol = 1e-10
	Default tolerance.

const QGaussLegendreSimplex< dim - 1 >	QGLpoints_face
	Quadrature formula for face elements.

std::unique_ptr< dealii::FEFaceValues< dim > >	fe_face_values
	Internal FEM basis class for face elements.

Additional Inherited Members
Protected Attributes inherited from VolumeHandlerDG< dim >
const unsigned int	n_quad_points_1D
	Number of quadrature points in one dimensional elements.

dealii::DoFHandler< dim >::active_cell_iterator	cell
	Actual DG cell.

const std::unique_ptr< dealii::FE_SimplexDGP< dim > >	fe_dg
	Internal Lagrangian basis class.

const std::unique_ptr< dealii::MappingFE< dim > >	mapping
	Mapping of the discretized space, needed for geometrical reference-to-actual operations.

const QGaussLegendreSimplex< dim >	QGLpoints
	Quadrature formula for volume elements.

std::unique_ptr< dealii::FEValues< dim > >	fe_values
	Internal FEM basis class.

bool	initialized = false
	A condition to inform if the class is initialized on an element or not.

Detailed Description

template<unsigned int dim>
class FaceHandlerDG< dim >

Class for the main operations on the faces of a discontinuous Galerkin element.

Definition at line 48 of file face_handler_DG.hpp.

Constructor & Destructor Documentation

◆ FaceHandlerDG() [1/4]

template<unsigned int dim>

FaceHandlerDG< dim >::FaceHandlerDG ( const unsigned int degree )

inline

Constructor.

Definition at line 64 of file face_handler_DG.hpp.

◆ FaceHandlerDG() [2/4]

template<unsigned int dim>

FaceHandlerDG< dim >::FaceHandlerDG ( FaceHandlerDG< dim > & FaceHandlerDG )

default

Default copy constructor.

◆ FaceHandlerDG() [3/4]

template<unsigned int dim>

FaceHandlerDG< dim >::FaceHandlerDG ( const FaceHandlerDG< dim > & FaceHandlerDG )

default

Default const copy constructor.

◆ FaceHandlerDG() [4/4]

template<unsigned int dim>

FaceHandlerDG< dim >::FaceHandlerDG ( FaceHandlerDG< dim > && FaceHandlerDG )

default

Default move constructor.

◆ ~FaceHandlerDG()

template<unsigned int dim>

virtual FaceHandlerDG< dim >::~FaceHandlerDG ( )

virtualdefault

Destructor.

Member Function Documentation

◆ corresponding_neigh_index()

template<unsigned int dim>

int FaceHandlerDG< dim >::corresponding_neigh_index	(	const unsigned int	q,
		const FaceHandlerDG< dim > &	FaceHandlerDG_neigh
	)		const

To manually obtain the associated quadrature point index in the neighbor element on the shared face.

Definition at line 185 of file face_handler_DG.hpp.

◆ get_measure() [1/3]

template<unsigned int dim>

double FaceHandlerDG< dim >::get_measure ( ) const

Measure of face.

◆ get_measure() [2/3]

double FaceHandlerDG< 2 >::get_measure ( ) const

Specialization to measure the face in two dimensions (i.e., length of a segment).

Definition at line 230 of file face_handler_DG.hpp.

◆ get_measure() [3/3]

double FaceHandlerDG< 3 >::get_measure ( ) const

Specialization to measure the area of the face for a three dimensional tethraedron (i.e., area of a triangle).

The method exploits the Erone's formula since deal.II does not have so far a version for triangles.

Definition at line 243 of file face_handler_DG.hpp.

◆ get_normal()

template<unsigned int dim>

dealii::Tensor< 1, dim > FaceHandlerDG< dim >::get_normal ( ) const

Outward normal vector on the current element and face.

Definition at line 218 of file face_handler_DG.hpp.

◆ quadrature_real()

template<unsigned int dim>

dealii::Point< dim > FaceHandlerDG< dim >::quadrature_real ( const unsigned int q ) const

overridevirtual

Return the \(q\)-th spatial quadrature point position on the actual element.

Reimplemented from VolumeHandlerDG< dim >.

Definition at line 142 of file face_handler_DG.hpp.

◆ quadrature_ref()

template<unsigned int dim>

dealii::Point< dim > FaceHandlerDG< dim >::quadrature_ref ( const unsigned int q ) const

overridevirtual

Return the \(q\)-th spatial quadrature point position on the reference element.

Reimplemented from VolumeHandlerDG< dim >.

Definition at line 156 of file face_handler_DG.hpp.

◆ quadrature_weight()

template<unsigned int dim>

double FaceHandlerDG< dim >::quadrature_weight ( const unsigned int q ) const

overridevirtual

Return the quadrature weight associated to the \(q\)-th quadrature point.

Reimplemented from VolumeHandlerDG< dim >.

Definition at line 171 of file face_handler_DG.hpp.

◆ reinit()

template<unsigned int dim>

void FaceHandlerDG< dim >::reinit	(	const typename dealii::DoFHandler< dim >::active_cell_iterator &	new_cell,
		const unsigned int	new_edge
	)

Reinit objects on the current new_cell and new_edge.

Definition at line 129 of file face_handler_DG.hpp.

Member Data Documentation

◆ edge

template<unsigned int dim>

unsigned int FaceHandlerDG< dim >::edge

private

Index of the actual face.

Definition at line 52 of file face_handler_DG.hpp.

◆ fe_face_values

template<unsigned int dim>

std::unique_ptr<dealii::FEFaceValues<dim> > FaceHandlerDG< dim >::fe_face_values

private

Internal FEM basis class for face elements.

This internal member permits to exploit useful already implemented operations. The polynomial order is always 1 because it is only needed for geometric operations not related to the degrees of freedom.

Definition at line 64 of file face_handler_DG.hpp.

◆ QGLpoints_face

template<unsigned int dim>

const QGaussLegendreSimplex<dim - 1> FaceHandlerDG< dim >::QGLpoints_face

private

Quadrature formula for face elements.

Definition at line 58 of file face_handler_DG.hpp.

◆ tol

template<unsigned int dim>

const double FaceHandlerDG< dim >::tol = 1e-10

private

Default tolerance.

Definition at line 55 of file face_handler_DG.hpp.

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

source/face_handler_DG.hpp

Public Member Functions

Private Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ FaceHandlerDG() [1/4]

◆ FaceHandlerDG() [2/4]

◆ FaceHandlerDG() [3/4]

◆ FaceHandlerDG() [4/4]

◆ ~FaceHandlerDG()

Member Function Documentation

◆ corresponding_neigh_index()

◆ get_measure() [1/3]

◆ get_measure() [2/3]

◆ get_measure() [3/3]

◆ get_normal()

◆ quadrature_real()

◆ quadrature_ref()

◆ quadrature_weight()

◆ reinit()

Member Data Documentation

◆ edge

◆ fe_face_values

◆ QGLpoints_face

◆ tol