#include <LagrangeTriangleMapping.h>

Inheritance diagram for chi_math::cell_mapping::LagrangeTriangleMapping:

Public Member Functions
	LagrangeTriangleMapping (const chi_mesh::MeshContinuum &grid, const chi_mesh::Cell &cell, const Quadrature &volume_quadrature, const Quadrature &surface_quadrature)

Public Member Functions inherited from chi_math::cell_mapping::LagrangeBaseMapping
double	ShapeValue (int i, const chi_mesh::Vector3 &xyz) const override

void	ShapeValues (const chi_mesh::Vector3 &xyz, std::vector< double > &shape_values) const override

chi_mesh::Vector3	GradShapeValue (int i, const chi_mesh::Vector3 &xyz) const override

void	GradShapeValues (const chi_mesh::Vector3 &xyz, std::vector< chi_mesh::Vector3 > &gradshape_values) const override

finite_element::VolumetricQuadraturePointData	MakeVolumetricQuadraturePointData () const override

finite_element::SurfaceQuadraturePointData	MakeSurfaceQuadraturePointData (size_t face_index) const override

Public Member Functions inherited from chi_math::CellMapping
const chi_mesh::Cell &	ReferenceCell () const

const chi_mesh::MeshContinuum &	ReferenceGrid () const

size_t	NumNodes () const

size_t	NumFaceNodes (size_t face_index) const

const std::vector< std::vector< int > > &	GetFaceNodeMappings () const

double	CellVolume () const

double	FaceArea (size_t face_index) const

int	MapFaceNode (size_t face_index, size_t face_node_index) const

virtual double	ShapeValue (int i, const chi_mesh::Vector3 &xyz) const =0

virtual void	ShapeValues (const chi_mesh::Vector3 &xyz, std::vector< double > &shape_values) const =0

virtual chi_mesh::Vector3	GradShapeValue (int i, const chi_mesh::Vector3 &xyz) const =0

virtual void	GradShapeValues (const chi_mesh::Vector3 &xyz, std::vector< chi_mesh::Vector3 > &gradshape_values) const =0

const std::vector< chi_mesh::Vector3 > &	GetNodeLocations () const

virtual finite_element::VolumetricQuadraturePointData	MakeVolumetricQuadraturePointData () const =0

virtual finite_element::SurfaceQuadraturePointData	MakeSurfaceQuadraturePointData (size_t face_index) const =0

virtual	~CellMapping ()=default

Protected Member Functions
double	RefShape (uint32_t i, const Vec3 &qpoint) const override

Vec3	RefGradShape (uint32_t i, const Vec3 &qpoint) const override

MatDbl	RefJacobian (const Vec3 &qpoint) const override

std::pair< double, Vec3 >	RefFaceJacobianDeterminantAndNormal (size_t face_index, const Vec3 &qpoint_face) const override

Vec3	FaceToElementQPointConversion (size_t face_index, const Vec3 &qpoint_face) const override

Protected Member Functions inherited from chi_math::cell_mapping::LagrangeBaseMapping
	LagrangeBaseMapping (const chi_mesh::MeshContinuum &grid, const chi_mesh::Cell &cell, size_t num_nodes, std::vector< std::vector< int > > face_node_mappings, const Quadrature &volume_quadrature, const Quadrature &surface_quadrature)

Vec3	MapWorldXYZToNaturalXYZ (const Vec3 &world_xyz) const

virtual double	RefShape (uint32_t i, const Vec3 &qpoint) const =0

virtual Vec3	RefGradShape (uint32_t i, const Vec3 &qpoint) const =0

virtual MatDbl	RefJacobian (const Vec3 &qpoint) const =0

virtual std::pair< double, Vec3 >	RefFaceJacobianDeterminantAndNormal (size_t face_index, const Vec3 &qpoint_face) const

virtual Vec3	FaceToElementQPointConversion (size_t face_index, const Vec3 &qpoint_face) const =0

virtual const Quadrature &	GetSurfaceQuadrature (size_t face_index) const

Protected Member Functions inherited from chi_math::CellMapping
	CellMapping (const chi_mesh::MeshContinuum &grid, const chi_mesh::Cell &cell, size_t num_nodes, std::vector< chi_mesh::Vector3 > node_locations, std::vector< std::vector< int > > face_node_mappings, const VandAFunction &volume_area_function)

Additional Inherited Members
Protected Types inherited from chi_math::cell_mapping::LagrangeBaseMapping
typedef chi_mesh::Vector3	Vec3

typedef std::vector< double >	VecDbl

typedef std::vector< VecDbl >	MatDbl

Protected Types inherited from chi_math::CellMapping
typedef std::function< void(const chi_mesh::MeshContinuum &, const chi_mesh::Cell &, double &, std::vector< double > &)>	VandAFunction

Static Protected Member Functions inherited from chi_math::cell_mapping::LagrangeBaseMapping
static std::vector< chi_mesh::Vector3 >	GetVertexLocations (const chi_mesh::MeshContinuum &grid, const chi_mesh::Cell &cell)

static std::vector< std::vector< int > >	MakeFaceNodeMapping (const chi_mesh::Cell &cell)

Static Protected Member Functions inherited from chi_math::CellMapping
static void	ComputeCellVolumeAndAreas (const chi_mesh::MeshContinuum &grid, const chi_mesh::Cell &cell, double &volume, std::vector< double > &areas)

Protected Attributes inherited from chi_math::cell_mapping::LagrangeBaseMapping
const Quadrature &	volume_quadrature_

const Quadrature &	surface_quadrature_

Protected Attributes inherited from chi_math::CellMapping
const chi_mesh::MeshContinuum &	ref_grid_

const chi_mesh::Cell &	cell_

const size_t	num_nodes_

const std::vector< chi_mesh::Vector3 >	node_locations_

double	volume_ = 0.0

std::vector< double >	areas_

const std::vector< std::vector< int > >	face_node_mappings_

Detailed Description

Lagrange element mapping for a triangle.

Definition at line 11 of file LagrangeTriangleMapping.h.

Constructor & Destructor Documentation

◆ LagrangeTriangleMapping()

chi_math::cell_mapping::LagrangeTriangleMapping::LagrangeTriangleMapping	(	const chi_mesh::MeshContinuum &	grid,
		const chi_mesh::Cell &	cell,
		const Quadrature &	volume_quadrature,
		const Quadrature &	surface_quadrature
	)

Definition at line 10 of file LagrangeTriangleMapping.cc.

Member Function Documentation

◆ FaceToElementQPointConversion()

LagrangeBaseMapping::Vec3 chi_math::cell_mapping::LagrangeTriangleMapping::FaceToElementQPointConversion	(	size_t	face_index,
		const Vec3 &	qpoint_face
	)		const

overrideprotectedvirtual

Converts a face quadrature point to a reference element position allowing the reuse of the reference element shape functions. Meant to be overridden by a specific element mapping.

Implements chi_math::cell_mapping::LagrangeBaseMapping.

Definition at line 91 of file LagrangeTriangleMapping.cc.

◆ RefFaceJacobianDeterminantAndNormal()

std::pair< double, LagrangeBaseMapping::Vec3 > chi_math::cell_mapping::LagrangeTriangleMapping::RefFaceJacobianDeterminantAndNormal	(	size_t	face_index,
		const Vec3 &	qpoint_face
	)		const

overrideprotectedvirtual

Computes the determinant of the surface Jacobian and the surface normal at the face quadrature point.

Reimplemented from chi_math::cell_mapping::LagrangeBaseMapping.

Definition at line 72 of file LagrangeTriangleMapping.cc.

◆ RefGradShape()

chi_mesh::Vector3 chi_math::cell_mapping::LagrangeTriangleMapping::RefGradShape	(	uint32_t	i,
		const Vec3 &	qpoint
	)		const

overrideprotectedvirtual

Reference element shape function gradient evaluation. Meant to be overridden by a specific element mapping.

Implements chi_math::cell_mapping::LagrangeBaseMapping.

Definition at line 36 of file LagrangeTriangleMapping.cc.

◆ RefJacobian()

LagrangeBaseMapping::MatDbl chi_math::cell_mapping::LagrangeTriangleMapping::RefJacobian ( const Vec3 & qpoint ) const

overrideprotectedvirtual

Reference element Jacobian evaluation. Meant to be overridden by a specific element mapping.

Implements chi_math::cell_mapping::LagrangeBaseMapping.

Definition at line 50 of file LagrangeTriangleMapping.cc.

◆ RefShape()

double chi_math::cell_mapping::LagrangeTriangleMapping::RefShape	(	uint32_t	i,
		const Vec3 &	qpoint
	)		const

overrideprotectedvirtual

Reference element shape function evaluation. Meant to be overridden by a specific element mapping.

Implements chi_math::cell_mapping::LagrangeBaseMapping.

Definition at line 24 of file LagrangeTriangleMapping.cc.

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

framework/math/SpatialDiscretization/CellMappings/Lagrange/LagrangeTriangleMapping.h
framework/math/SpatialDiscretization/CellMappings/Lagrange/LagrangeTriangleMapping.cc

Public Member Functions

Protected Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ LagrangeTriangleMapping()

Member Function Documentation

◆ FaceToElementQPointConversion()

◆ RefFaceJacobianDeterminantAndNormal()

◆ RefGradShape()

◆ RefJacobian()

◆ RefShape()