MxHexahedron27CellExtract Class Reference
[Cell]

Utility class for quadratic hexahedron cells with 27 nodes. More...

#include <MeshVizXLM/extractors/MxHexahedron27CellExtract.h>

List of all members.

Static Public Member Functions
static MbVec3d	getIsoParametricCoord (const MiGeometryI &meshGeometry, const MiVolumeCell *hexahedronCell, const MbVec3d &point)
static MbVec3d	getIsoParametricCoord (size_t nodeIndex)
static void	getWeight (const MiGeometryI &meshGeometry, const MiVolumeCell *hexahedronCell, const MbVec3d &point, std::vector< double > &weights)
static void	getWeight (const MbVec3d &ipcoord, std::vector< double > &weights)
static void	getDerivs (const MbVec3d &ipcoord, std::vector< double > &derivs)
static bool	isPointInsideCell (const MiGeometryI &meshGeometry, const MiVolumeCell *hexahedronCell, const MbVec3d &point, std::vector< double > &weights)
static size_t	getNodesIndexOfFacet (size_t facet, std::vector< size_t > &facetNodes)
static size_t	getSubTriangleNodesIndex (size_t face, std::vector< size_t > &triangleNodeIds)
static size_t	getSubTetrahedronNodesIndex (std::vector< size_t > &tetrahedronNodeIds)
Friends
std::ostream &	operator<< (std::ostream &s, const MxHexahedron27CellExtract &cell)

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Detailed Description

Utility class for quadratic hexahedron cells with 27 nodes.

Utility class that provides a static implementation of MiVolumeCell's methods for a quadratic hexahedron of 27 nodes. This class is provided to make it easier to create a class that implements the MiVolumeCell interface for a quadratic hexahedron of 27 nodes.

• value of iso parametric coordinates in an hexahedron of 27 nodes (see getIsoParametricCoord())
• value of the weights (aka shape functions) in a hexahedron of 27 nodes (see getWeight())
• decomposition of each face in sub triangles. (see getSubTriangleNodesIndex())
• decomposition in sub tetrahedrons. (see getSubTetrahedronNodesIndex())
• localization test (see isPointInsideCell())

The following image shows the node numbering and the face numbering used by this class. The weight (see getWeight()), parametric coordinates (see getIsoParametricCoord()), and the decomposition in sub tetrahedrons (see getSubTetrahedronNodesIndex()) are defined according to this node numbering. The face decomposition (see getSubTriangleNodesIndex()) is defined according to this node and face numbering.

Nodes and faces numbering

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Member Function Documentation

static void MxHexahedron27CellExtract::getDerivs	(	const MbVec3d &	ipcoord,
		std::vector< double > &	derivs
	)			[static]

Gets the value of the derivatives of the shape functions (aka weights) at the point given by its iso parametric coordinates.

Parameters:

[in]	ipcoord	The iso parametric coordinates of the input point. The reference space for the iso parametric coordinates is assumed to be [0-1]. Thus any point inside the cell has iso parametric coordinates in the interval [0-1].
[out]	derivs	This method computes the 81 values derivs[0-80]. It assumes the derivs vector array has been already allocated. Its size must be set to 81 (at least) before calling this method, using for instance the derivs.resize(81)

static MbVec3d MxHexahedron27CellExtract::getIsoParametricCoord

(

size_t

nodeIndex

)

[static]

Returns the iso parametric coordinates of one of the 27 nodes of a quadratic hexahedron.

This static method helps to implement the method MiCell::getIsoParametricCoord().

Parameters:

[in]

nodeIndex

Must be defined in the range [0-26]

static MbVec3d MxHexahedron27CellExtract::getIsoParametricCoord	(	const MiGeometryI &	meshGeometry,
		const MiVolumeCell *	hexahedronCell,
		const MbVec3d &	point
	)			[static]

Computes the iso parametric coordinates of the given point in the given cell with the given geometry.

As computing the iso parametric coordinates of a point needs the coordinates of the cell's nodes, the given hexahedronCell is assumed to contain 27 nodes.

Note:

Each node coordinate of the given cell is retrieved in the following way:

     meshGeometry.getCoord(hexahedronCell->getNodeIndex(i)) 
    

for each i in the range [0-26].

Parameters:

[in]	meshGeometry	The geometry of the mesh.
[in]	hexahedronCell	The input cell.
[in]	point	The input point given in the same space coordinate as meshGeometry.

static size_t MxHexahedron27CellExtract::getNodesIndexOfFacet	(	size_t	facet,
		std::vector< size_t > &	facetNodes
	)			[inline, static]

Gets the array of "linear" node indices belonging to a given facet.

Parameters:

[in]	facet	The index of the facet (where 0 <= facet < 6).
[out]	facetNodes	The array of "linear" local node indices of the facet. ( 0 <= facetNodes[i] < 27 for each i ).

Returns:

The number of nodes added.

static size_t MxHexahedron27CellExtract::getSubTetrahedronNodesIndex

(

std::vector< size_t > &

tetrahedronNodeIds

)

[inline, static]

Gets a decomposition in sub-tetrahedra of a quadratic hexahedron of 27 nodes.

This static method helps to implement the method MiVolumeCell::getSubTetrahedronNodesIndex() for a quadratic hexahedron of 27 nodes.

Parameters:

[out]

tetrahedronNodeIds

Sub tetrahedra node ids (where: 0 <= tetrahedronNodeIds[i] < 27 for each i). this method assign the 192 node ids tetrahedronNodeIds[0-191]

Returns:

48 (number of sub-tetrahedra in a quadratic hexahedron of 27 nodes)

static size_t MxHexahedron27CellExtract::getSubTriangleNodesIndex	(	size_t	face,
		std::vector< size_t > &	triangleNodeIds
	)			[inline, static]

Gets a triangulation of the given facet of a quadratic hexahedron of 27 nodes.

This static method helps to implement the method MiVolumeCell::getSubTriangleNodesIndex() for a quadratic hexahedron of 27 nodes.

Parameters:

[in]	face	Number of the face. (where: 0 <= face < 6 ).
[out]	triangleNodeIds	Sub triangle node ids (where: 0 <= triangleNodeIds[i] < 27 for each i).

Returns:

The number of sub triangles in the facet of the cell.

static void MxHexahedron27CellExtract::getWeight	(	const MbVec3d &	ipcoord,
		std::vector< double > &	weights
	)			[static]

Gets the weights of a point defined by its iso parametric coordinates.

This static method helps to implement the method MiCell::getWeight(ipcoord,weights) for a quadratic hexahedron of 27 nodes.

Parameters:

[in]	ipcoord	The iso parametric coordinates of the input point. The reference space for the iso parametric coordinates is assumed to be [0-1]. Thus any point inside the cell has iso parametric coordinates in the interval [0-1].
[out]	weights	This method computes the 27 values weights[0-26]. It assumes the weights vector array has been already allocated. Its size must be set to 27 (at least) before calling this method, using for instance the weights.resize(27)

static void MxHexahedron27CellExtract::getWeight	(	const MiGeometryI &	meshGeometry,
		const MiVolumeCell *	hexahedronCell,
		const MbVec3d &	point,
		std::vector< double > &	weights
	)			[inline, static]

Gets the weights in the given cell of the given point.

This static method helps to implement the method MiCell::getWeight(meshGeometry,point,weights) for a quadratic hexahedron of 27 nodes. As computing the weights of a point needs the coordinates of the cell's nodes, the given hexahedronCell is assumed to contain 27 nodes.

Note:

Each node coordinate of the given cell is retrieved in the following way:

     meshGeometry.getCoord(hexahedronCell->getNodeIndex(i)) 
    

for each i in the range [0-26].

Parameters:

[in]	meshGeometry	The geometry of the mesh.
[in]	hexahedronCell	The input cell.
[in]	point	The input point given in the same space coordinate as meshGeometry.
[out]	weights	This method computes the 27 values weights[0-26]. It assumes the weights vector array has been already allocated. Its size must be set to 27 (at least) before calling this method, using for instance the weights.resize(27)

static bool MxHexahedron27CellExtract::isPointInsideCell	(	const MiGeometryI &	meshGeometry,
		const MiVolumeCell *	hexahedronCell,
		const MbVec3d &	point,
		std::vector< double > &	weights
	)			[inline, static]

Checks if a point is inside or outside a quadratic hexahedron cell of 27 nodes.

This static method helps to implement the method MiCell::isPointInsideCell(meshGeometry,point,weights) for a quadratic hexahedron of 27 nodes.

Parameters:

[in]	meshGeometry	The geometry of the mesh.
[in]	hexahedronCell	The input cell.
[in]	point	The input point given in the same space coordinate as meshGeometry.
[out]	weights	This method computes the 27 values weights[0-26] if the point is inside the cell. It assumes the weights vector array has been already allocated. Its size must be set to 27 (at least) before calling this method, using for instance the weights.resize(27)

Returns:

true if the point is inside the cell.

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Friends And Related Function Documentation

std::ostream& operator<<	(	std::ostream &	s,
		const MxHexahedron27CellExtract &	cell
	)			[friend]

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

• MeshVizXLM/extractors/MxHexahedron27CellExtract.h