2D Lagrange P1 Quadrilateral Element type This class provides the lagrangian shape function describing the representation of the solution and/or the geometry in a P1 (linear) quadrilateral element. More...

#include <Quad3D.hpp>

Inherits ElementTypeBase< Quad3D, Quad3D_traits >.

Classes
struct	JacobianCoefficients
	Convenience struct to easily access the elements that make up the jacobian. More...

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

static const ElementType &	face_type (const Uint face)

Computation functions
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 Real	volume (const NodesT &nodes)

static Real	area (const NodesT &nodes)

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

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

Non-API static functions
static void	normal (const MappedCoordsT &mapped_coord, const NodesT &nodes, CoordsT &result)

Static Public Member Functions inherited from ElementTypeBase< Quad3D, Quad3D_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)

Additional Inherited Members
Public Types inherited from ElementTypeBase< Quad3D, Quad3D_traits >
typedef Quad3D_traits::SF	SF

typedef Quad3D_traits::SF::MappedCoordsT	MappedCoordsT

typedef Eigen::Matrix< Real, Quad3D_traits::dimension, 1 >	CoordsT

typedef Eigen::Matrix< Real, nb_nodes, Quad3D_traits::dimension >	NodesT

typedef Eigen::Matrix< Real, Quad3D_traits::SF::dimensionality, Quad3D_traits::dimension >	JacobianT

Static Public Attributes inherited from ElementTypeBase< Quad3D, Quad3D_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 P1 Quadrilateral Element type This class provides the lagrangian shape function describing the representation of the solution and/or the geometry in a P1 (linear) quadrilateral element.

See also: ElementType for documentation of undocumented functions

Author: Willem Deconinck; Tiago Quintino; Bart Janssens

Definition at line 36 of file Quad3D.hpp.

Member Function Documentation

Real area ( const NodesT & nodes )

static

Definition at line 106 of file Quad3D.cpp.

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

static

Definition at line 49 of file Quad3D.cpp.

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

static

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

static

Definition at line 58 of file Quad3D.cpp.

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

static

Definition at line 41 of file Quad3D.cpp.

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

static

Definition at line 27 of file Quad3D.cpp.

Quad3D::JacobianT jacobian	(	const MappedCoordsT &	mapped_coord,
		const NodesT &	nodes
	)

static

Definition at line 90 of file Quad3D.cpp.

void normal	(	const MappedCoordsT &	mapped_coord,
		const NodesT &	nodes,
		CoordsT &	result
	)

static

Normal vector to the surface.

Parameters

mappedCoord	The mapped coordinates where the Jacobian should be calculated
result	Storage for the resulting Jacobian matrix

Note: this is not the unit normal, but scaled by 1/4*area

Definition at line 118 of file Quad3D.cpp.

Real volume ( const NodesT & nodes )

static

Definition at line 99 of file Quad3D.cpp.

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

cf3/mesh/LagrangeP1/Quad3D.hpp
cf3/mesh/LagrangeP1/Quad3D.cpp

Classes

Static Public Member Functions

Additional Inherited Members

Detailed Description

Member Function Documentation