The Quad4 implementation. More...

#include <gmQuadCellGeometryInfo.h>

Inheritance diagram for GmQuad4CellGeometryInfo:

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Collaboration diagram for GmQuad4CellGeometryInfo:

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Public Member Functions
virtual GmShape *	shapeInstance (int P, int Q) const
	Shape function factory. Should return a NEW instance of the shape function object for this type. Should return NULL if the type has no associated shape function. P and Q are needed only when working with hierarchical element types and will have a value of 0 for "normal" types.

virtual double	dimension (const GmMatrix &X) const
	Returns the Quad4 area.

virtual void	centroidCartesian (const GmMatrix &X, GmVector &coord) const
	Returns the Quad4 centroid by decomposing it into two triangles and weighting each coordinate by the triangle area.

virtual bool	localAxis (const GmMatrix &X, GmMatrix &R) const
	Local axis for Quad == Identity.

virtual int	isValid (const GmMatrix &X, double tol) const
	Virtual method that should be implemented if this geometry info supports the GM_CELL_GEOMETRY_VALID capability. It should implement geometry checks, like orientation, convexity or self intersection checks to check a cell validity. If the capability is not implemented, this function should simply return true. The X matrix holds the cell node coordinates organized by column. The tol is the relative tolerance used for planar/collinear tests.

virtual bool	contains (const GmMatrix &X, const GmVector &coord) const
	Virtual method that should be implemented if this geometry info supports the GM_CELL_GEOMETRY_CONTAINS capability. It should returns true if the cell contains the point specified by the given cartesian coordinates 'coord'. If the capability is not implemented, this function should simply return false. The X matrix holds the cell node coordinates organized by column.

Public Member Functions inherited from GmCellGeometryInfoSurfaceElement< GmQuadIntegrationRuleSet, GmLinearQuadIntegrationRuleSetDefaults, GmQuadEdgeIntegrationRuleSet, GmLinearQuadEdgeIntegrationRuleSetDefaults >
	GmCellGeometryInfoSurfaceElement (GmCellGeometryMetadata &&metadata)
	Constructor receiving as parameter a metadata object that will be MOVED to the new object.

virtual GmIntegrationRule *	integrationRule (GmIntegrationRuleType irType, int rule1, int rule2, int rule3, int P, int Q) const
	A factory function that returns a new integration rule object suited for this kind of element.

virtual GmBorderIntegrationRule *	edgeIntegrationRule (GmIntegrationRuleType irType, int rule1, int P, int Q) const
	A factory function that returns a new border integration rule object suited for this kind of element. Edge rules are used to integrate functions over an element edge. This function is undefined for line elements and should return NULL in those cases.

virtual GmBorderIntegrationRule *	faceIntegrationRule (int faceType, GmIntegrationRuleType irType, int rule1, int rule2, int P, int Q) const
	A factory function that returns a new border integration rule object suited for this kind of element. Face rules are used to integrate functions over an element face. This function is undefined for line or 2D elements and should return NULL in those cases.

Public Member Functions inherited from GmCellGeometryInfo
	GmCellGeometryInfo (const GmCellGeometryInfo &other)
	Standard copy constructor receiving the type metadata.

	GmCellGeometryInfo (GmCellGeometryMetadata &&metadata)
	Standard move constructor receiving the type metadata.

virtual double	quality (const GmMatrix &J, double tol) const
	Virtual method that should be implemented if this geometry info supports the GM_CELL_GEOMETRY_QUALITY capability. It should return a normalized quality measure of the cell geometry, from 0 to 1, where 0.0 means very bad and 1.0 very good. If the capability is not implemented, this function should simply return 0.0. The J matrix is the Jacobian.

const GmIntegrationRule *	cellIntegrationRule () const
	Returns the default integration rule for the current geometry type.

double	dimensionByIntegration (const GmMatrix &X, const GmIntegrationRule *ir=NULL) const
	Given a cell geometry defined by matrix X (with node coordinates organized by column) performs a numerical integration using the given integration rule to calculate either the cell length, area or volume, depending on the cell type. If ir is NULL, the default integration rule for the type is used.

void	centroidByIntegration (const GmMatrix &X, GmVector &coord, const GmIntegrationRule *ir=NULL) const
	Given a cell geometry defined by matrix X (with node coordinates organized by column) performs a numerical integration using the given integration rule to calculate the cell centroid, filling coord. If ir is NULL, the default integration rule for the type is used.

Public Member Functions inherited from GmCellGeometryMetadata
	GmCellGeometryMetadata (const GmCellGeometryMetadata &other)=default
	Copy constructor.

	GmCellGeometryMetadata (GmCellGeometryMetadata &&other)=default
	Move constructor.

Static Public Member Functions
static const GmQuad4CellGeometryInfo *	instance ()
	Instance function for the Quad4 single geometry object.

Protected Member Functions
	GmQuad4CellGeometryInfo (GmCellGeometryMetadata &&metadata)
	Protected constructor. Only a single Quad4 geometry info object is ever necessary, created by GmQuadCellGeometryInfoInit()

Additional Inherited Members
Public Attributes inherited from GmCellGeometryMetadata
GmCellType	_type
	The cell type.

const char *	_name
	The cell type name.

GmCellFamilyType	_family
	The family that this cell type belongs to.

bool	_interface
	Is this cell an interface element?

bool	_hierarchical
	Is this cell an hierarchical element (needing P & Q order parameters?)

int	_order
	The cell order (1: linear, 2: quadratic, 3: cubic, ...)

GmCellType	_eqLinearType
	The equivalent linear element.

int	_nnodes
	Number of cell nodes.

int	_nvertices
	Number of cell vertices. Excludes "quadratic" nodes and extra dof nodes. See comments for GmCellGeometry::numVertices().

int	_nextraDofNodes
	Number of extra dof nodes. Usually 0. See comments for GmCellGeometry::numVertices().

int	_ncoord
	The number of cartesian coordinates for nodes of this cell type.

int	_nedges
	Number of cell edges.

int	_nfaces
	Number of cell faces.

int	_nfaceTypes
	Number of face types for a 3D element. 1 For surface elements.

bool	_capabilities [GM_CELL_GEOMETRY_CAPABILITY_COUNT]

QVector< EdgeNodeData >	_edgeNodeInfo
	Node information for each cell's edge. Size equal to "nedges".

QVector< QVector< int > >	_faceEdgeInfo
	Edge information for each cell's face, ordered according to the cell's face description. Empty for 1D elements.

QVector< QVector< int > >	_edgeFaceInfo
	Face information for each cell's edge.

QVector< FaceNodeData >	_faceNodeInfo
	Node information for each cell's face. Size equal to "nfaces". Empty for 1D elements.

InterfaceData	_interfaceInfo
	Additional face / edge descriptions for interface elements.

QVector< QVector< int > >	_nodeIncidenceInfo
	Node incidence information for each cell's node. Size equal to "nnodes".

QVector< int >	_volumeNodeInfo
	Mid volume node list.

Detailed Description

The Quad4 implementation.

Member Function Documentation

◆ centroidCartesian()

virtual void GmQuad4CellGeometryInfo::centroidCartesian	(	const GmMatrix &	X,
		GmVector &	coord ) const

inlinevirtual

Returns the Quad4 centroid by decomposing it into two triangles and weighting each coordinate by the triangle area.

Implements GmCellGeometryInfo.

◆ contains()

virtual bool GmQuad4CellGeometryInfo::contains	(	const GmMatrix &	X,
		const GmVector &	coord ) const

inlinevirtual

Virtual method that should be implemented if this geometry info supports the GM_CELL_GEOMETRY_CONTAINS capability. It should returns true if the cell contains the point specified by the given cartesian coordinates 'coord'. If the capability is not implemented, this function should simply return false. The X matrix holds the cell node coordinates organized by column.

Reimplemented from GmCellGeometryInfo.

Reimplemented in GmQuad3D4CellGeometryInfo.

◆ dimension()

virtual double GmQuad4CellGeometryInfo::dimension ( const GmMatrix & X ) const

inlinevirtual

Returns the Quad4 area.

Implements GmCellGeometryInfo.

◆ isValid()

virtual int GmQuad4CellGeometryInfo::isValid	(	const GmMatrix &	X,
		double	tol ) const

inlinevirtual

Virtual method that should be implemented if this geometry info supports the GM_CELL_GEOMETRY_VALID capability. It should implement geometry checks, like orientation, convexity or self intersection checks to check a cell validity. If the capability is not implemented, this function should simply return true. The X matrix holds the cell node coordinates organized by column. The tol is the relative tolerance used for planar/collinear tests.

Reimplemented from GmCellGeometryInfo.

Reimplemented in GmQuad3D4CellGeometryInfo.

◆ localAxis()

virtual bool GmQuad4CellGeometryInfo::localAxis	(	const GmMatrix &	X,
		GmMatrix &	R ) const

inlinevirtual

Local axis for Quad == Identity.

Implements GmCellGeometryInfo.

Reimplemented in GmQuad3D4CellGeometryInfo.

◆ shapeInstance()

virtual GmShape * GmQuad4CellGeometryInfo::shapeInstance	(	int	P,
		int	Q ) const

inlinevirtual

Shape function factory. Should return a NEW instance of the shape function object for this type. Should return NULL if the type has no associated shape function. P and Q are needed only when working with hierarchical element types and will have a value of 0 for "normal" types.

Implements GmCellGeometryInfo.

Reimplemented in GmQuad3D4CellGeometryInfo.

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

inc/elements/geometry/gmQuadCellGeometryInfo.h
src/elements/geometry/gmQuadCellGeometryInfo.cpp

Public Member Functions

Static Public Member Functions

Protected Member Functions

Additional Inherited Members

Detailed Description

Member Function Documentation

◆ centroidCartesian()

◆ contains()

◆ dimension()

◆ isValid()

◆ localAxis()

◆ shapeInstance()