MxQuadrangle9CellExtract Class Reference
[Cell]

Utility class for quadratic quadrangle cells with 9 nodes. More...

#include <MeshVizXLM/extractors/MxQuadrangle9CellExtract.h>

List of all members.

Static Public Member Functions
static MbVec3d	getIsoParametricCoord (const MiGeometryI &meshGeometry, const MiSurfaceCell *quadrangleCell, const MbVec3d &point)
static MbVec3d	getIsoParametricCoord (size_t nodeIndex)
static void	getWeight (const MiGeometryI &meshGeometry, const MiSurfaceCell *quadrangleCell, 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 MiSurfaceCell *quadrangleCell, const MbVec3d &point, std::vector< double > &weights)
static size_t	getSubTriangleNodesIndex (std::vector< size_t > &triangleNodeIds)
Friends
std::ostream &	operator<< (std::ostream &s, const MxQuadrangle9CellExtract &cell)

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Detailed Description

Utility class for quadratic quadrangle cells with 9 nodes.

Utility class that provides a static implementation of the MiSurfaceCell interface methods for a quadratic quadrangle cell of 9 nodes. This class is provided to make it easier to create a class that implements the MiSurfaceCell interface for a quadratic quadrangle of 9 nodes.

• Value of iso parametric coordinates in a quadratic quadrangle of 9 nodes (see getIsoParametricCoord())
• Value of the 9 weights (aka shape functions) in a quadratic quadrangle of 9 nodes (see getWeight())
• Localization test (see isPointInsideCell())

The following image shows the node numbering used by this class. The weights (see getWeight()), and parametric coordinates (see getIsoParametricCoord()) are defined according to this node numbering.

Nodes numbering

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Member Function Documentation

static void MxQuadrangle9CellExtract::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 27 values derivs[0-26]. It assumes the derivs vector array has been already allocated. Its size must be set to 27 (at least) before calling this method, using for instance the derivs::resize(27)

static MbVec3d MxQuadrangle9CellExtract::getIsoParametricCoord

(

size_t

nodeIndex

)

[inline, static]

Returns the iso parametric coordinates of one of the 9 nodes of a quadrangle cell.

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

Parameters:

[in]

nodeIndex

Must be defined in the range [0-8]

static MbVec3d MxQuadrangle9CellExtract::getIsoParametricCoord	(	const MiGeometryI &	meshGeometry,
		const MiSurfaceCell *	quadrangleCell,
		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 quadrangleCell is assumed to contain 9 nodes.

Note:

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

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

for each i in the range [0-8].

Parameters:

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

static size_t MxQuadrangle9CellExtract::getSubTriangleNodesIndex

(

std::vector< size_t > &

triangleNodeIds

)

[inline, static]

Gets a triangulation of a quadratic quadrangle of 9 nodes.

This static method helps to implement the method MiSurfaceCell::getSubTriangleNodesIndex() for a quadratic quadrangle of 9 nodes.

Parameters:

[out]

triangleNodeIds

Sub triangle node ids (where: 0 <= triangleNodeIds[i] < 9 for each i).

Returns:

The number of sub triangles in the cell.

static void MxQuadrangle9CellExtract::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 quadrangle cell.

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 9 values weights[0-8]. It assumes the weights vector array has been already allocated. Its size must be set to 9 (at least) before calling this method, using for instance the weights::resize(9)

static void MxQuadrangle9CellExtract::getWeight	(	const MiGeometryI &	meshGeometry,
		const MiSurfaceCell *	quadrangleCell,
		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 quadrangle cell. As computing the weights of a point needs the coordinates of the cell's nodes, the given quadrangleCell is assumed to contain 9 nodes.

Note:

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

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

for each i in the range [0-8].

Parameters:

[in]	meshGeometry	The geometry of the mesh.
[in]	quadrangleCell	The input cell.
[in]	point	The input point given in the same space coordinate as meshGeometry.
[out]	weights	This method computes the 9 values weights[0-8]. It assumes the weights vector array has been already allocated. Its size must be set to 9 (at least) before calling this method, using for instance the weights.resize(9)

static bool MxQuadrangle9CellExtract::isPointInsideCell	(	const MiGeometryI &	meshGeometry,
		const MiSurfaceCell *	quadrangleCell,
		const MbVec3d &	point,
		std::vector< double > &	weights
	)			[inline, static]

Checks if a point is inside or outside a quadrangle cell.

This static method helps to implement the method MiCell::isPointInsideCell(meshGeometry,point,weights) for a quadrangle cell.

Parameters:

[in]	meshGeometry	The geometry of the mesh.
[in]	quadrangleCell	The input cell.
[in]	point	The input point given in the same space coordinate as meshGeometry.
[out]	weights	This method computes the 9 values weights[0-8] if the point is inside the cell. It assumes the weights vector array has been already allocated. Its size must be set to 9 (at least) before calling this method, using for instance the weights::resize(9)

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 MxQuadrangle9CellExtract &	cell
	)			[friend]

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

• MeshVizXLM/extractors/MxQuadrangle9CellExtract.h