2D Lagrange P2 Quadrilateral Element type This class provides the lagrangian shape function describing the representation of the solution and/or the geometry in a P2 (linear) quadrilateral element. More...

#include <Quad2D.hpp>

Inherits ElementTypeBase< Quad2D, Quad2D_traits >.

Static Public Member Functions
Accessor functions
static const ElementTypeFaceConnectivity &	faces ()

static const ElementType &	face_type (const Uint face)

Computation functions
static MappedCoordsT	mapped_coordinate (const CoordsT &coord, const NodesT &nodes)

static void	compute_mapped_coordinate (const CoordsT &coord, const NodesT &nodes, MappedCoordsT &mapped_coord)

static bool	is_coord_in_element (const CoordsT &coord, const NodesT &nodes)

static Real	volume (const NodesT &nodes)

static Real	area (const NodesT &nodes)

static void	compute_centroid (const NodesT &nodes, CoordsT &centroid)

static Real	jacobian_determinant (const MappedCoordsT &mapped_coord, const NodesT &nodes)

static JacobianT	jacobian (const MappedCoordsT &mapped_coord, const NodesT &nodes)

template<typename MatrixType >
static void	compute_jacobian (const MappedCoordsT &mapped_coord, const NodesT &nodes, MatrixType &jacobian)

static CoordsT	plane_jacobian_normal (const MappedCoordsT &mapped_coord, const NodesT &nodes, const CoordRef orientation)

static void	compute_plane_jacobian_normal (const MappedCoordsT &mapped_coord, const NodesT &nodes, const CoordRef orientation, CoordsT &result)

Static Public Member Functions inherited from ElementTypeBase< Quad2D, Quad2D_traits >
static std::string	type_name ()

static void	compute_mapped_coordinate (const CoordsT &coord, const NodesT &nodes, MappedCoordsT &mapped_coord)

static Real	jacobian_determinant (const MappedCoordsT &mapped_coord, const NodesT &nodes)

static void	compute_jacobian (const MappedCoordsT &mapped_coord, const NodesT &nodes, MatrixType &jacobian)

static boost::enable_if< boost::is_same< MatrixType, JacobianT > >::type	compute_jacobian_if_enabled (const MappedCoordsT &mapped_coord, const NodesT &nodes, MatrixType &jacobian)

static boost::enable_if< boost::mpl::not_< boost::is_same< MatrixType, JacobianT > > >::type	compute_jacobian_if_enabled (const MappedCoordsT &mapped_coord, const NodesT &nodes, MatrixType &jacobian)

static void	compute_jacobian_adjoint (const MappedCoordsT &mapped_coord, const NodesT &nodes, JacobianT &result)

static Real	volume (const NodesT &nodes)

static Real	area (const NodesT &nodes)

static void	compute_normal (const NodesT &nodes, CoordsT &normal)

static void	compute_centroid (const NodesT &nodes, CoordsT &centroid)

static bool	is_coord_in_element (const CoordsT &coord, const NodesT &nodes)

static void	compute_plane_jacobian_normal (const MappedCoordsT &mapped_coord, const NodesT &nodes, const CoordRef orientation, CoordsT &result)

static MappedCoordsT	mapped_coordinate (const CoordsT &coord, const NodesT &nodes)

static JacobianT	jacobian (const MappedCoordsT &mapped_coord, const NodesT &nodes)

static CoordsT	plane_jacobian_normal (const MappedCoordsT &mapped_coord, const NodesT &nodes, const CoordRef orientation)

Static Private Attributes
static Eigen::Matrix< Real, nb_nodes, 1 >	m_shapeFunc

static Eigen::Matrix< Real, nb_nodes, dimensionality >	m_shapeFuncDerivs

static RealVector2	m_D

static Real	m_scale

Additional Inherited Members
Public Types inherited from ElementTypeBase< Quad2D, Quad2D_traits >
typedef Quad2D_traits::SF	SF

typedef Quad2D_traits::SF::MappedCoordsT	MappedCoordsT

typedef Eigen::Matrix< Real, Quad2D_traits::dimension, 1 >	CoordsT

typedef Eigen::Matrix< Real, nb_nodes, Quad2D_traits::dimension >	NodesT

typedef Eigen::Matrix< Real, Quad2D_traits::SF::dimensionality, Quad2D_traits::dimension >	JacobianT

Static Public Attributes inherited from ElementTypeBase< Quad2D, Quad2D_traits >
static const GeoShape::Type	shape

static const Uint	order

static const Uint	dimensionality

static const Uint	dimension

static const Uint	nb_faces

static const Uint	nb_edges

static const Uint	nb_nodes

Detailed Description

2D Lagrange P2 Quadrilateral Element type This class provides the lagrangian shape function describing the representation of the solution and/or the geometry in a P2 (linear) quadrilateral element.

See also: ElementType for documentation of undocumented functions

Author: Willem Deconinck; Tiago Quintino; Bart Janssens

Definition at line 36 of file Quad2D.hpp.

Member Function Documentation

Real area ( const NodesT & nodes )

static

Definition at line 95 of file Quad2D.cpp.

void compute_centroid	(	const NodesT &	nodes,
		CoordsT &	centroid
	)

static

Definition at line 60 of file Quad2D.cpp.

static void compute_jacobian	(	const MappedCoordsT &	mapped_coord,
		const NodesT &	nodes,
		MatrixType &	jacobian
	)

static

void compute_mapped_coordinate	(	const CoordsT &	coord,
		const NodesT &	nodes,
		MappedCoordsT &	mapped_coord
	)

static

Definition at line 288 of file Quad2D.cpp.

void compute_plane_jacobian_normal	(	const MappedCoordsT &	mapped_coord,
		const NodesT &	nodes,
		const CoordRef	orientation,
		CoordsT &	result
	)

static

Note: below, the derivatives of shapefunctions are computed, not the shapefunctions themselves; below, the derivatives of shapefunctions are computed, not the shapefunctions themselves

Definition at line 178 of file Quad2D.cpp.

const cf3::mesh::ElementType & face_type ( const Uint face )

static

Definition at line 52 of file Quad2D.cpp.

const cf3::mesh::ElementType::FaceConnectivity & faces ( )

static

Definition at line 35 of file Quad2D.cpp.

bool is_coord_in_element	(	const CoordsT &	coord,
		const NodesT &	nodes
	)

static

Definition at line 246 of file Quad2D.cpp.

Quad2D::JacobianT jacobian	(	const MappedCoordsT &	mapped_coord,
		const NodesT &	nodes
	)

static

Definition at line 158 of file Quad2D.cpp.

Real jacobian_determinant	(	const MappedCoordsT &	mapped_coord,
		const NodesT &	nodes
	)

static

Definition at line 102 of file Quad2D.cpp.

Quad2D::MappedCoordsT mapped_coordinate	(	const CoordsT &	coord,
		const NodesT &	nodes
	)

static

Definition at line 304 of file Quad2D.cpp.

static CoordsT plane_jacobian_normal	(	const MappedCoordsT &	mapped_coord,
		const NodesT &	nodes,
		const CoordRef	orientation
	)

static

Real volume ( const NodesT & nodes )

static

Definition at line 67 of file Quad2D.cpp.

Member Data Documentation

RealVector2 m_D

staticprivate

Definition at line 72 of file Quad2D.hpp.

Real m_scale

staticprivate

Definition at line 73 of file Quad2D.hpp.

Eigen::Matrix< Real, Quad2D::nb_nodes, 1 > m_shapeFunc

staticprivate

Definition at line 69 of file Quad2D.hpp.

Eigen::Matrix< Real, Quad2D::nb_nodes, Quad2D::dimensionality > m_shapeFuncDerivs

staticprivate

Definition at line 70 of file Quad2D.hpp.

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

cf3/mesh/LagrangeP2/Quad2D.hpp
cf3/mesh/LagrangeP2/Quad2D.cpp

Static Public Member Functions

Static Private Attributes

Additional Inherited Members

Detailed Description

Member Function Documentation

Member Data Documentation