Utility class for quadratic tetrahedron cells with 10 nodes. More...

#include <MeshVizXLM/extractors/MxTetrahedron10CellExtract.h>

Static Public Member Functions
static MbVec3d	getIsoParametricCoord (const MiGeometryI &meshGeometry, const MiVolumeCell *tetrahedronCell, const MbVec3d &point)
	Computes the iso parametric coordinates of the given point in the given cell with the given geometry.

static MbVec3d	getIsoParametricCoord (size_t nodeIndex)
	Returns the iso parametric coordinates of one of the 10 nodes of a quadratic tetrahedron.

static void	getWeight (const MiGeometryI &meshGeometry, const MiVolumeCell *tetrahedronCell, const MbVec3d &point, std::vector< double > &weights)
	Gets the weights in the given cell of the given point.

static void	getWeight (const MbVec3d &ipcoord, std::vector< double > &weights)
	Gets the weights of a point defined by its iso parametric coordinates.

static void	getDerivs (const MbVec3d &ipcoord, std::vector< double > &derivs)
	Gets the value of the derivatives of the shape functions (aka weights) at the point given by its iso parametric coordinates.

static bool	isPointInsideCell (const MiGeometryI &meshGeometry, const MiVolumeCell *tetrahedronCell, const MbVec3d &point, std::vector< double > &weights)
	Checks if a point is inside or outside a quadratic tetrahedron cell of 10 nodes.

static size_t	getNodesIndexOfFacet (size_t facet, std::vector< size_t > &facetNodes)
	Gets the array of "linear" node indices belonging to a given facet.

static size_t	getSubTriangleNodesIndex (size_t face, std::vector< size_t > &triangleNodeIds)
	Gets a triangulation of the given facet of a quadratic tetrahedron of 10 nodes.

static size_t	getSubTetrahedronNodesIndex (std::vector< size_t > &tetrahedronNodeIds)
	Gets a decomposition in sub-tetrahedra of a quadratic tetrahedron of 10 nodes.

Friends
std::ostream &	operator<< (std::ostream &s, const MxTetrahedron10CellExtract &cell)

Detailed Description

Utility class for quadratic tetrahedron cells with 10 nodes.

Utility class that provides a static implementation of MiVolumeCell's methods for a quadratic tetrahedron of 10 nodes. This class is provided to make it easier to create a class that implements the MiVolumeCell interface for a quadratic tetrahedron of 10 nodes.

value of iso parametric coordinates in an tetrahedron of 10 nodes (see getIsoParametricCoord())
value of the weights (aka shape functions) in a tetrahedron of 10 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

Definition at line 62 of file MxTetrahedron10CellExtract.h.

Member Function Documentation

◆ getDerivs()

static void MxTetrahedron10CellExtract::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 30 values derivs[0-29]. It assumes the derivs vector array has been already allocated. Its size must be set to 30 (at least) before calling this method, using for instance the derivs.resize(30)

◆ getIsoParametricCoord() [1/2]

static MbVec3d MxTetrahedron10CellExtract::getIsoParametricCoord	(	const MiGeometryI &	meshGeometry,
		const MiVolumeCell *	tetrahedronCell,
		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 tetrahedronCell is assumed to contain 10 nodes.

Note

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

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

for each i in the range [0-9].

Parameters

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

◆ getIsoParametricCoord() [2/2]

static MbVec3d MxTetrahedron10CellExtract::getIsoParametricCoord ( size_t nodeIndex )

static

Returns the iso parametric coordinates of one of the 10 nodes of a quadratic tetrahedron.

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

Parameters

[in] nodeIndex Must be defined in the range [0-9]

◆ getNodesIndexOfFacet()

static size_t MxTetrahedron10CellExtract::getNodesIndexOfFacet	(	size_t	facet,
		std::vector< size_t > &	facetNodes
	)

inlinestatic

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

Parameters

[in]	facet	The index of the facet (where 0 <= facet < 4).
[out]	facetNodes	The array of "linear" local node indices of the facet. ( 0 <= facetNodes[i] < 10 for each i ).

Returns: The number of nodes added.

Definition at line 172 of file MxTetrahedron10CellExtract.h.

◆ getSubTetrahedronNodesIndex()

static size_t MxTetrahedron10CellExtract::getSubTetrahedronNodesIndex ( std::vector< size_t > & tetrahedronNodeIds )

inlinestatic

Gets a decomposition in sub-tetrahedra of a quadratic tetrahedron of 10 nodes.

This static method helps to implement the method MiVolumeCell::getSubTetrahedronNodesIndex() for a quadratic tetrahedron of 10 nodes.

Parameters

[out] tetrahedronNodeIds Sub tetrahedra node ids (where: 0 <= tetrahedronNodeIds[i] < 10 for each i). this method assign the 32 node ids tetrahedronNodeIds[0-31]

Returns: 8 (number of sub-tetrahedra in a quadratic tetrahedron of 10 nodes)

Definition at line 200 of file MxTetrahedron10CellExtract.h.

◆ getSubTriangleNodesIndex()

static size_t MxTetrahedron10CellExtract::getSubTriangleNodesIndex	(	size_t	face,
		std::vector< size_t > &	triangleNodeIds
	)

inlinestatic

Gets a triangulation of the given facet of a quadratic tetrahedron of 10 nodes.

This static method helps to implement the method MiVolumeCell::getSubTriangleNodesIndex() for a quadratic tetrahedron of 10 nodes.

Parameters

[in]	face	Number of the face. (where: 0 <= face < 4 ).
[out]	triangleNodeIds	Sub triangle node ids (where: 0 <= triangleNodeIds[i] < 10 for each i).

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

Definition at line 186 of file MxTetrahedron10CellExtract.h.

◆ getWeight() [1/2]

static void MxTetrahedron10CellExtract::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 tetrahedron of 10 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 10 values weights[0-9]. It assumes the weights vector array has been already allocated. Its size must be set to 10 (at least) before calling this method, using for instance the weights.resize(10)

◆ getWeight() [2/2]

static void MxTetrahedron10CellExtract::getWeight	(	const MiGeometryI &	meshGeometry,
		const MiVolumeCell *	tetrahedronCell,
		const MbVec3d &	point,
		std::vector< double > &	weights
	)

inlinestatic

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 tetrahedron of 10 nodes. As computing the weights of a point needs the coordinates of the cell's nodes, the given tetrahedronCell is assumed to contain 10 nodes.

Note

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

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

for each i in the range [0-9].

Parameters

[in]	meshGeometry	The geometry of the mesh.
[in]	tetrahedronCell	The input cell.
[in]	point	The input point given in the same space coordinate as meshGeometry.
[out]	weights	This method computes the 10 values weights[0-9]. It assumes the weights vector array has been already allocated. Its size must be set to 10 (at least) before calling this method, using for instance the weights.resize(10)

Definition at line 107 of file MxTetrahedron10CellExtract.h.

◆ isPointInsideCell()

static bool MxTetrahedron10CellExtract::isPointInsideCell	(	const MiGeometryI &	meshGeometry,
		const MiVolumeCell *	tetrahedronCell,
		const MbVec3d &	point,
		std::vector< double > &	weights
	)

inlinestatic

Checks if a point is inside or outside a quadratic tetrahedron cell of 10 nodes.

This static method helps to implement the method MiCell::isPointInsideCell(meshGeometry,point,weights) for a quadratic tetrahedron of 10 nodes.

Parameters

[in]	meshGeometry	The geometry of the mesh.
[in]	tetrahedronCell	The input cell.
[in]	point	The input point given in the same space coordinate as meshGeometry.
[out]	weights	This method computes the 10 values weights[0-9] if the point is inside the cell. It assumes the weights vector array has been already allocated. Its size must be set to 10 (at least) before calling this method, using for instance the weights.resize(10)

Returns: true if the point is inside the cell.

Definition at line 153 of file MxTetrahedron10CellExtract.h.

Friends And Related Symbol Documentation

◆ operator<<

std::ostream & operator<<	(	std::ostream &	s,
		const MxTetrahedron10CellExtract &	cell
	)

friend

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

MeshVizXLM/extractors/MxTetrahedron10CellExtract.h

Open Inventor Release 2023.2.3

Static Public Member Functions

Friends

Detailed Description

Member Function Documentation

◆ getDerivs()

◆ getIsoParametricCoord() [1/2]

◆ getIsoParametricCoord() [2/2]

◆ getNodesIndexOfFacet()

◆ getSubTetrahedronNodesIndex()

◆ getSubTriangleNodesIndex()

◆ getWeight() [1/2]

◆ getWeight() [2/2]

◆ isPointInsideCell()

Friends And Related Symbol Documentation

◆ operator<<