Specialization for 2D quadrilaterals. More...

#include <boundarygrid.hh>

Public Types
enum	{ dimension = 2 }
	The dimension of the grid. More...

enum	{ mydimension = 2 }
	Dimension of the domain space. More...

enum	{ coorddimension = cdim }
	Dimension of the range space. More...

enum	{ dimensionworld = 2 }
	World dimension of underlying grid. More...

typedef double	ctype
	Coordinate element type. More...

typedef Dune::FieldVector< ctype, mydimension >	LocalCoordinate
	Domain type. More...

typedef Dune::FieldVector< ctype, coorddimension >	GlobalCoordinate
	Range type. More...

typedef Dune::FieldMatrix< ctype, coorddimension, mydimension >	Jacobian
	Type of Jacobian matrix. More...

typedef Dune::FieldMatrix< ctype, mydimension, coorddimension >	JacobianTransposed
	Type of transposed Jacobian matrix. More...

Public Member Functions
	HexGeometry (const BoundaryGrid::Quad &q, const GridImp &gv, int dir)
	Construct integration element extracted from a 3D grid. More...

	HexGeometry (const BoundaryGrid::Quad &q)
	Construct integration element. More...

Dune::GeometryType	type () const
	Returns entity type (a 2D cube) More...

int	corners () const
	Returns number of corners. More...

ctype	volume () const
	Returns volume (area) of quadrilateral. More...

GlobalCoordinate	center () const
	Returns center of quadrilateral. More...

GlobalCoordinate	corner (int cor) const
	Returns coordinates to requested corner. More...

GlobalCoordinate	global (const LocalCoordinate &local) const
	Map from local coordinates to global coordinates. More...

LocalCoordinate	local (const GlobalCoordinate &y) const
	Map from global coordinates to local coordinates. More...

const Dune::FieldMatrix< ctype, mydimension, coorddimension >	jacobianTransposed (const LocalCoordinate &local) const
	Return the transposed jacobian. More...

const Dune::FieldMatrix< ctype, coorddimension, mydimension >	jacobianInverseTransposed (const LocalCoordinate &local) const
	Returns the inverse, transposed Jacobian. More...

ctype	integrationElement (const LocalCoordinate &local) const
	Returns the integration element (\|J'*J\|)^(1/2) More...

Detailed Description

template<int cdim, class GridImp>
class Opm::Elasticity::HexGeometry< 2, cdim, GridImp >

Specialization for 2D quadrilaterals.

Member Typedef Documentation

◆ ctype

template<int cdim, class GridImp >

typedef double Opm::Elasticity::HexGeometry< 2, cdim, GridImp >::ctype

Coordinate element type.

◆ GlobalCoordinate

template<int cdim, class GridImp >

typedef Dune::FieldVector<ctype,coorddimension> Opm::Elasticity::HexGeometry< 2, cdim, GridImp >::GlobalCoordinate

Range type.

◆ Jacobian

template<int cdim, class GridImp >

typedef Dune::FieldMatrix<ctype,coorddimension,mydimension> Opm::Elasticity::HexGeometry< 2, cdim, GridImp >::Jacobian

Type of Jacobian matrix.

◆ JacobianTransposed

template<int cdim, class GridImp >

typedef Dune::FieldMatrix<ctype,mydimension,coorddimension> Opm::Elasticity::HexGeometry< 2, cdim, GridImp >::JacobianTransposed

Type of transposed Jacobian matrix.

◆ LocalCoordinate

template<int cdim, class GridImp >

typedef Dune::FieldVector<ctype,mydimension> Opm::Elasticity::HexGeometry< 2, cdim, GridImp >::LocalCoordinate

Domain type.

Member Enumeration Documentation

◆ anonymous enum

template<int cdim, class GridImp >

anonymous enum

The dimension of the grid.

Enumerator
dimension

◆ anonymous enum

template<int cdim, class GridImp >

anonymous enum

Dimension of the domain space.

Enumerator
mydimension

◆ anonymous enum

template<int cdim, class GridImp >

anonymous enum

Dimension of the range space.

Enumerator
coorddimension

◆ anonymous enum

template<int cdim, class GridImp >

anonymous enum

World dimension of underlying grid.

Enumerator
dimensionworld

Constructor & Destructor Documentation

◆ HexGeometry() [1/2]

template<int cdim, class GridImp >

Opm::Elasticity::HexGeometry< 2, cdim, GridImp >::HexGeometry	(	const BoundaryGrid::Quad &	q,
		const GridImp &	gv,
		int	dir
	)

inline

Construct integration element extracted from a 3D grid.

Parameters

[in]	q	Quad describing element
[in]	gv	Underlying 3D grid quads are extracted from
[in]	dir	The direction of the normal vector on the face

References Opm::Elasticity::BoundaryGrid::extract(), Opm::Elasticity::BoundaryGrid::Vertex::i, Opm::Elasticity::itend, Opm::Elasticity::start, and Opm::Elasticity::BoundaryGrid::Quad::v.

◆ HexGeometry() [2/2]

template<int cdim, class GridImp >

Opm::Elasticity::HexGeometry< 2, cdim, GridImp >::HexGeometry ( const BoundaryGrid::Quad & q )

inline

Construct integration element.

Parameters

[in] q Quad describing element

References Opm::Elasticity::BoundaryGrid::Vertex::c, and Opm::Elasticity::BoundaryGrid::Quad::v.

Member Function Documentation

◆ center()

template<int cdim, class GridImp >

GlobalCoordinate Opm::Elasticity::HexGeometry< 2, cdim, GridImp >::center ( ) const

inline

Returns center of quadrilateral.

◆ corner()

template<int cdim, class GridImp >

GlobalCoordinate Opm::Elasticity::HexGeometry< 2, cdim, GridImp >::corner ( int cor ) const

inline

Returns coordinates to requested corner.

Parameters

[in] cor The requested corner (0..3)

◆ corners()

template<int cdim, class GridImp >

int Opm::Elasticity::HexGeometry< 2, cdim, GridImp >::corners ( ) const

inline

Returns number of corners.

◆ global()

template<int cdim, class GridImp >

GlobalCoordinate Opm::Elasticity::HexGeometry< 2, cdim, GridImp >::global ( const LocalCoordinate & local ) const

inline

Map from local coordinates to global coordinates.

Parameters

[in] local The local coordinates

References Opm::Elasticity::j.

◆ integrationElement()

template<int cdim, class GridImp >

ctype Opm::Elasticity::HexGeometry< 2, cdim, GridImp >::integrationElement ( const LocalCoordinate & local ) const

inline

Returns the integration element (|J'*J|)^(1/2)

Parameters

[in] local The local coordinates

◆ jacobianInverseTransposed()

template<int cdim, class GridImp >

const Dune::FieldMatrix< ctype, coorddimension, mydimension > Opm::Elasticity::HexGeometry< 2, cdim, GridImp >::jacobianInverseTransposed ( const LocalCoordinate & local ) const

inline

Returns the inverse, transposed Jacobian.

Parameters

[in] local The local coordinates

◆ jacobianTransposed()

template<int cdim, class GridImp >

const Dune::FieldMatrix< ctype, mydimension, coorddimension > Opm::Elasticity::HexGeometry< 2, cdim, GridImp >::jacobianTransposed ( const LocalCoordinate & local ) const

inline

Return the transposed jacobian.

Parameters

[in] local The local coordinates

References Opm::Elasticity::j.

◆ local()

template<int cdim, class GridImp >

LocalCoordinate Opm::Elasticity::HexGeometry< 2, cdim, GridImp >::local ( const GlobalCoordinate & y ) const

inline

Map from global coordinates to local coordinates.

Parameters

[in] y The global coordinates

◆ type()

template<int cdim, class GridImp >

Dune::GeometryType Opm::Elasticity::HexGeometry< 2, cdim, GridImp >::type ( ) const

inline

Returns entity type (a 2D cube)

◆ volume()

template<int cdim, class GridImp >

ctype Opm::Elasticity::HexGeometry< 2, cdim, GridImp >::volume ( ) const

inline

Returns volume (area) of quadrilateral.

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

boundarygrid.hh

Public Types

Public Member Functions

Detailed Description

Member Typedef Documentation

◆ ctype

◆ GlobalCoordinate

◆ Jacobian

◆ JacobianTransposed

◆ LocalCoordinate

Member Enumeration Documentation

◆ anonymous enum

◆ anonymous enum

◆ anonymous enum

◆ anonymous enum

Constructor & Destructor Documentation

◆ HexGeometry() [1/2]

◆ HexGeometry() [2/2]

Member Function Documentation

◆ center()

◆ corner()

◆ corners()

◆ global()

◆ integrationElement()

◆ jacobianInverseTransposed()

◆ jacobianTransposed()

◆ local()

◆ type()

◆ volume()