WmUnstructuredGeometry Class Reference

Class used for generating mesh geometry concerns. More...

#include <wmunstructuredgeometry.h>

Detailed Description

Class used for generating mesh geometry concerns.

Public Types
typedef std::pair< std::string, std::vector< int > >	nodeGroupPair_t
typedef std::map< std::string, std::vector< int > >	nodeGroupMap_t

Public Member Functions
	WmUnstructuredGeometry (const WmUnstructuredPatch &patch)
	Create unstructured geometry for a given patch.
	~WmUnstructuredGeometry ()
	Destroy geometry.
void	generateGeometry (real *coordinates, int *connectivity, int *neighborhood, int *orientations)
	Generates geometry concerns.
void	addNodeGroup (const std::string name, const std::vector< int > &nodeIndexes)
	Add node group to geometry.
const real *	getCoordinates () const
	Access coordinates.
const int *	getConnectivity () const
	Access connectivity.
const int *	getNeighborhood () const
	Access neighborhood.
const int *	getOrientations () const
	Access orientations.
std::string	getNodeGroupOfNodes (const std::vector< int > &nodes) const
	Identify which node group a set of nodes belong to.
int	getFaceOrientation (const int elementIndex, const int faceIndex) const
	Get the orientation of a specific face with respect to neighbor.
real	getVolume (const int elementIndex) const
	Get the volume of an element.
real	getArea (const int elementIndex, const int faceIndex) const
	Get area of element face.
real	getElementWidth (const int elementIndex) const
	Get rough estimate of element's characteristic width.
const int *	getLocalNeighborhood (const int elementIndex) const
	Get list of element neighbors.
const std::type_info &	getType () const
	Get typeid of floats used to store coordinates/geometry stuff.
int	getPrimitiveID () const
	Get primitive ID for geometry.
int	getFacePrimitiveID () const
	Get primitive's face primitive ID.
const real *	getCentroid (const int elementIndex) const
	Get centroid of element.
const real *	getNorm (const int elementIndex, const int faceIndex, const int normType) const
	Get norm of element.
int	getNumElements () const
	Number of total elements in geometry.
int	getNumNodes () const
	Number of total nodes in geometry.
int	getNumDimsPerNode () const
	Number of dimensions used to store coordinates.
int	getNumDimsPerPrimitive () const
	Number of dimensions used to express primtive.
int	getNumNodesPerFace () const
	Number of nodes/vertexes on an element's face.
int	getNumNodesPerElement () const
	Number of nodes/vertexes on an element.
int	getNumFacesPerElement () const
	Number of faces on an element.
void	getFaceNodes (const int elementIndex, const int faceIndex, int *faceNodes) const
	Get the nodes for a given element's face.
void	getNodePositions (const int elementIndex, real *nodePositions) const
	Get the node/vertex positions for an element.
int	getNumTransformCoordinates () const
	Get number of coordinate transform coordinates for this primitive.
void	getTransformCoordinates (const int elementIndex, real tC[][3]) const
	Get the transform coordinates for an element.
void	getPositionInElement (const int elementIndex, const real normalizedPosition[3], real position[3]) const
	Generate real/mesh space position from normalized position for given element.
void	getNormalizedPositionInElement (const int elementIndex, const real position[3], real normalizedPosition[3]) const
	Generate normalized position from real/mesh space position for given element.
int	getJumpedElementIndex (const int elementIndex, const int neighborElementIndex, const int numJumps) const
	Get element index on other side of neighbor.
int	getOppositeFace (const int faceIndex) const
	Get face index opposite of a given face index.
int	getFaceIndex (const int elementIndex, const int neighborElementIndex) const
	Get the face index through which an neighbor element is found.
real	generateVolumeJacobian (const int elementIndex, const real normalizedPosition[3]) const
	Generate the volume Jacobian (ie Jacobian or determinant of the Jacobian matrix given appropriate dimensions, I think) at a given point within an element.
void	generateInverseJacobian (const int elementIndex, const real *normalizedPosition, real *inverseJacobian) const
	Generate the inverse Jacobian matrix for a given point within an element.
void	getCentralPositionInElement (const int elementIndex, const real normalizedPosition[3], real position[3]) const
	Get the real/mesh position within an element w.r.t the element centroid.
void	getFaceDistanceBetweenNeighborCentroids (const int fromElementIndex, const int toElementIndex, real dx[3]) const
	Get the distance between two elements through a face.
void	get_face_centroid (const int element_index, const int face_index, real x[3]) const
	Get the centroid of element's face.
bool	isEnclosedByElement (const int elementIndex, const real *x) const
	Check if the element encloses the given location.
int	getEnclosingElementIndex (const real *x) const
	Find the element enclosing the given location.
void	printElement (const int elementIndex) const
	Print element info to std::cout - used for DEBUG.
int	num_boundary_faces () const
	Returns the number of boundary faces associated with the edge of a domain (i.e.
void	reflect_centroid (const int element_index, const int face_index, real reflected_centroid[3]) const

Static Public Member Functions
static int	getNumTransformCoordinates (const int primitiveID)
	Number of coordinate transform coordinates.
static void	getTransformCoordinates (const int primitiveID, const real *nodePositions, real tC[])
	Convert node/vertex positions into coordinate transform coordinates.

Protected Attributes
const WmUnstructuredPatch &	_patch
	Patch associated with geometry.
std::string	_primitive
	Name of element primitive.
int	_primitiveID
	PrimitiveID.
int	_numElements
	Number of total elements in patch.
int	_numNodes
	Number of total nodes in patch.
int *	_connectivity
	Connectivity of elements [_numElements X _numNodesPerElement].
int *	_neighborhood
	Neighborhood of elements [_numElements X _numFacesPerElement].
int *	_orientations
	Orientations of faces [_numElements X _numFacesPerElement].
real *	_coordinates
	Node/vertex positions [_numNodes X _numDimsPerNode].
real *	_transformCoordinates
	Coordinate transform coordinates [_numElements X _numTransformCoordinates X 3].
real *	_centroids
	Centroids of elements [_numElements X 3].
real *	_norms
	Face normals for elements [_numElements X 3 X 3].
real *	_volumes
	Volumes of elements [_numElements].
real *	_areas
	Areas of element faces [_numElements X _numFacesPerElement].
nodeGroupMap_t	_nodeGroups
	Node groups associated with geometry/patch.
int	_num_boundary_faces
	Number of boundary faces between patch and unknown where neighbor = -1.
int	_numDimsPerNode
	Number of dimensions used to store nodes/vertexes.
int	_numDimsPerPrimitive
	Number of dimensions for a given primitive.
int	_numTransformCoordinates
	Number of coordinate transform coordinates, usually the same as _numNodesPerElement.
int	_numNodesPerElement
	Number of nodes/vertexes for a given primitive.
int	_numFacesPerElement
	Number of faces on an element.
int	_numNodesPerFace
	Number of element nodes/vertexes that make up each face.

Member Typedef Documentation

nodeGroupMap_t

typedef std::map<std::string, std::vector<int> > WmUnstructuredGeometry::nodeGroupMap_t

nodeGroupPair_t

typedef std::pair<std::string, std::vector<int> > WmUnstructuredGeometry::nodeGroupPair_t

Constructor & Destructor Documentation

WmUnstructuredGeometry()

WmUnstructuredGeometry::WmUnstructuredGeometry

(

const WmUnstructuredPatch &

patch

)

Create unstructured geometry for a given patch.

~WmUnstructuredGeometry()

WmUnstructuredGeometry::~WmUnstructuredGeometry

(

)

Destroy geometry.

Member Function Documentation

addNodeGroup()

void WmUnstructuredGeometry::addNodeGroup	(	const std::string	name,
		const std::vector< int > &	nodeIndexes
	)

Add node group to geometry.

Node groups are used to identify faces (e.g. for use with boundary conditions)

Note: node group will be sorted in geometry class

Parameters

name	Node group name
nodeIndexes	List of nodes that make up node group

generateGeometry()

void WmUnstructuredGeometry::generateGeometry	(	real *	coordinates,
		int *	connectivity,
		int *	neighborhood,
		int *	orientations
	)

Generates geometry concerns.

Includes: coordinate transforms, face normals, volumes, face areas and element centroids

Parameters

coordinates	Coordinates for mesh nodes/vertexes
connecitivity	Connectivity array for mesh elements
neighborhood	Neighborhood array interlinking elements
orientations	Orienatation array describing inter-element orientations

generateInverseJacobian()

void WmUnstructuredGeometry::generateInverseJacobian	(	const int	elementIndex,
		const real *	normalizedPosition,
		real *	inverseJacobian
	)		const

Generate the inverse Jacobian matrix for a given point within an element.

Parameters

elementIndex	Element of interest
normalizedPosition	Array [3] containing normalized position within element
inverseJacobian	Array [9] to store inverse Jacobian matrix

generateVolumeJacobian()

real WmUnstructuredGeometry::generateVolumeJacobian	(	const int	elementIndex,
		const real	normalizedPosition[3]
	)		const

Generate the volume Jacobian (ie Jacobian or determinant of the Jacobian matrix given appropriate dimensions, I think) at a given point within an element.

Parameters

elementIndex	Element of interest
normalizedPosition	Array [3] containing normalized position within element

Returns

Volume Jacobian at point within element

get_face_centroid()

void WmUnstructuredGeometry::get_face_centroid	(	const int	element_index,
		const int	face_index,
		real	x[3]
	)		const

Get the centroid of element's face.

Parameters

element_index
face_index
x	Array [3] to store position of face centroid

getArea()

real WmUnstructuredGeometry::getArea ( const int  elementIndex, const int  faceIndex  ) const

inline

Get area of element face.

Parameters

elementIndex	Element of interest
faceIndex	Element face of interest

Returns

Area of element face

getCentralPositionInElement()

void WmUnstructuredGeometry::getCentralPositionInElement	(	const int	elementIndex,
		const real	normalizedPosition[3],
		real	position[3]
	)		const

Get the real/mesh position within an element w.r.t the element centroid.

Parameters

elementIndex	Element of interest
normalizedPosition	Array [3] containing normalized position within element
position	Array [3] to store central position

getCentroid()

const real * WmUnstructuredGeometry::getCentroid ( const int  elementIndex ) const

inline

Get centroid of element.

Warning: no range checking!

Parameters

elementIndex

Element of interest

Returns

Array [3] containing element centroid

getConnectivity()

const int * WmUnstructuredGeometry::getConnectivity ( ) const

inline

Access connectivity.

Returns

Connectivity of elements [numElements X numNodesPerElement]

getCoordinates()

const real * WmUnstructuredGeometry::getCoordinates ( ) const

inline

Access coordinates.

Returns

Coordinates of mesh nodes/vertexes [numNodes X numDimsPerNode]

getElementWidth()

real WmUnstructuredGeometry::getElementWidth

(

const int

elementIndex

)

const

Get rough estimate of element's characteristic width.

Parameters

elementIndex

Element of interest

Returns

'Width' of element

getEnclosingElementIndex()

int WmUnstructuredGeometry::getEnclosingElementIndex

(

const real *

x

)

const

Find the element enclosing the given location.

Note that this call is going to run through all of the elements and compare each one Therefore this is a very slow function and should be called only a few times at most per sim

Note that this function only works if 1D) Line is along x 2D) Triangle is in xy plane 3D) Not yet setup

Parameters

x	Array[3] of location

Returns

Element Index of element enclosing x (-1 if no element was found)

getFaceDistanceBetweenNeighborCentroids()

void WmUnstructuredGeometry::getFaceDistanceBetweenNeighborCentroids	(	const int	fromElementIndex,
		const int	toElementIndex,
		real	dx[3]
	)		const

Get the distance between two elements through a face.

Note: This call is required for periodic boundary conditions where two elements are on opposite sides of a mesh but require 'dx' for reconstruction purposes Note: This is a slow call compared to subracting one centroid from another, be sure you need it before using it

dx = x_toIndex - x_fromIndex

Parameters

fromElementIndex	Element to start from
toElementIndex	Element to end at
dx	Array [3] to store dx between elements through face

getFaceIndex()

int WmUnstructuredGeometry::getFaceIndex	(	const int	elementIndex,
		const int	neighborElementIndex
	)		const

Get the face index through which an neighbor element is found.

Parameters

elementIndex	Element of interest
neighborElementIndex	Neighbor element on other side of face

Returns

Face index separating elements

getFaceNodes()

void WmUnstructuredGeometry::getFaceNodes	(	const int	elementIndex,
		const int	faceIndex,
		int *	faceNodes
	)		const

Get the nodes for a given element's face.

Parameters

elementIndex	Element of interest
faceIndex	Element face of interest
faceNodes	Array [_numNodesPerFace] to store node/vertex indexes

getFaceOrientation()

int WmUnstructuredGeometry::getFaceOrientation ( const int  elementIndex, const int  faceIndex  ) const

inline

Get the orientation of a specific face with respect to neighbor.

Parameters

elementIndex	Element of interest
faceIndex	Face index through which neighbor is oriented

Returns

Orientation of neighbor element

getFacePrimitiveID()

int WmUnstructuredGeometry::getFacePrimitiveID

(

)

const

Get primitive's face primitive ID.

Will return one of WMPRIMITIVE_LINE, WMPRIMITIVE_TRIANGLE, WMPRIMITIVE_QUADRILATERAL, WMPRIMITIVE_TETRAHEDRON, WMPRIMITIVE_HEXAHEDRON, or WMPRIMITIVE_POINT

Returns

Primitive ID

getJumpedElementIndex()

int WmUnstructuredGeometry::getJumpedElementIndex	(	const int	elementIndex,
		const int	neighborElementIndex,
		const int	numJumps
	)		const

Get element index on other side of neighbor.

I think this is used for moving through ghost cells in boundary conditions, but is... idiotic...

Note: Recursive call Note: Only works for lines/quad/hexahedrons

TODO: This function needs to be removed/phased out

Parameters

elementIndex	Element of interest
neighborElementIndex	Neighbor element to jump over
numJumps	Number of times to jump across neighbor

Returns

Element index numJumps beyond neighborElementIndex

getLocalNeighborhood()

const int * WmUnstructuredGeometry::getLocalNeighborhood ( const int  elementIndex ) const

inline

Get list of element neighbors.

Warning: no range checking!

Parameters

elementIndex

Element of interest

Returns

Array of neighbor elements

getNeighborhood()

const int * WmUnstructuredGeometry::getNeighborhood ( ) const

inline

Access neighborhood.

Returns

Neighborhood of elements [numElements X numFacesPerElement]

getNodeGroupOfNodes()

std::string WmUnstructuredGeometry::getNodeGroupOfNodes

(

const std::vector< int > &

nodes

)

const

Identify which node group a set of nodes belong to.

Used for identifying faces contained by node group

Parameters

nodes

List of nodes

Returns

Name of node group containing nodes, returns "" if nodes do not belong to node group

getNodePositions()

void WmUnstructuredGeometry::getNodePositions	(	const int	elementIndex,
		real *	nodePositions
	)		const

Get the node/vertex positions for an element.

Parameters

elementIndex	Element of interest
nodePositions	Array [3 X numNodesPerElement] to store node/vertex positions

getNorm()

const real * WmUnstructuredGeometry::getNorm ( const int  elementIndex, const int  faceIndex, const int  normType  ) const

inline

Get norm of element.

Warning: no range checking!

norm type 0: face normal norm type 1: first transverse vector norm type 2: second transverse vector

Parameters

elementIndex	Element of interest
faceIndex	Element of interest
normType	Norm type of interese (see above)

Returns

Array [3] containing face norm of given type

getNormalizedPositionInElement()

void WmUnstructuredGeometry::getNormalizedPositionInElement	(	const int	elementIndex,
		const real	position[3],
		real	normalizedPosition[3]
	)		const

Generate normalized position from real/mesh space position for given element.

Parameters

elementIndex	Element of interest
position	Array [3] of position in real/mesh space
normalizedPosition	Array [3] of position in isoparametric space (normalized space)

getNumDimsPerNode()

int WmUnstructuredGeometry::getNumDimsPerNode ( ) const

inline

Number of dimensions used to store coordinates.

Returns

Number of dims used to store coordinates

getNumDimsPerPrimitive()

int WmUnstructuredGeometry::getNumDimsPerPrimitive ( ) const

inline

Number of dimensions used to express primtive.

1D: Line = 1 2D: Triangle, Quad = 2 3D: Tetrahedron, Hexahedron = 3

Returns

Number of dims of primitive

getNumElements()

int WmUnstructuredGeometry::getNumElements ( ) const

inline

Number of total elements in geometry.

Returns

Number of total elements

getNumFacesPerElement()

int WmUnstructuredGeometry::getNumFacesPerElement ( ) const

inline

Number of faces on an element.

Returns

Number of faces on an element

getNumNodes()

int WmUnstructuredGeometry::getNumNodes ( ) const

inline

Number of total nodes in geometry.

Returns

Number of total nodes

getNumNodesPerElement()

int WmUnstructuredGeometry::getNumNodesPerElement ( ) const

inline

Number of nodes/vertexes on an element.

Returns

Number of nodes/vertexes on an element

getNumNodesPerFace()

int WmUnstructuredGeometry::getNumNodesPerFace ( ) const

inline

Number of nodes/vertexes on an element's face.

Returns

Number of nodes/vertexes on an element's face

getNumTransformCoordinates() [1/2]

int WmUnstructuredGeometry::getNumTransformCoordinates ( ) const

inline

Get number of coordinate transform coordinates for this primitive.

Note: Coordinate transform converts isoparametric primitive (normalized space) to geometric primitive (real/mesh space)

Returns

Number of coordinate transform coordinates

getNumTransformCoordinates() [2/2]

static int WmUnstructuredGeometry::getNumTransformCoordinates ( const int  primitiveID )

static

Number of coordinate transform coordinates.

Note: Coordinate transform converts isoparametric primitive (normalized space) to geometric primitive (real/mesh space)

Note: Static call

Parameters

primitiveID

Primitive of interest

Returns

Number of coordinate transform coordinates

getOppositeFace()

int WmUnstructuredGeometry::getOppositeFace

(

const int

faceIndex

)

const

Get face index opposite of a given face index.

Another ghost cell function that shouldn't exist

Note: Static call Note: Only works for lines/quad/hexahedrons

TODO: This function needs to be removed/phased out

Parameters

faceIndex	Face index
neighborElementIndex	Neighbor element to jump over
numJumps	Number of times to jump across neighbor

Returns

Opposite face index

getOrientations()

const int * WmUnstructuredGeometry::getOrientations ( ) const

inline

Access orientations.

Returns

Orientation of elements [numElements X numFacesPerElement]

getPositionInElement()

void WmUnstructuredGeometry::getPositionInElement	(	const int	elementIndex,
		const real	normalizedPosition[3],
		real	position[3]
	)		const

Generate real/mesh space position from normalized position for given element.

Parameters

elementIndex	Element of interest
normalizedPosition	Array [3] of position in isoparametric space (normalized space)
position	Array [3] of position in real/mesh space

getPrimitiveID()

int WmUnstructuredGeometry::getPrimitiveID ( ) const

inline

Get primitive ID for geometry.

Will return one of WMPRIMITIVE_LINE, WMPRIMITIVE_TRIANGLE, WMPRIMITIVE_QUADRILATERAL, WMPRIMITIVE_TETRAHEDRON, WMPRIMITIVE_HEXAHEDRON, or WMPRIMITIVE_POINT

Returns

Primitive ID

getTransformCoordinates() [1/2]

void WmUnstructuredGeometry::getTransformCoordinates	(	const int	elementIndex,
		real	tC[][3]
	)		const

Get the transform coordinates for an element.

Parameters

elementIndex	Element of interest
tC	Array [numTransformCoordinates][3] to store transformCoordinates

getTransformCoordinates() [2/2]

static void WmUnstructuredGeometry::getTransformCoordinates ( const int  primitiveID, const real *  nodePositions, real  tC[]  )

static

Convert node/vertex positions into coordinate transform coordinates.

Note: Coordinate transform converts isoparametric primitive (normalized space) to geometric primitive (real/mesh space)

Note: Static call

Parameters

primitiveID	Primitive of interest
nodePositions	Node positions making up element
tC	Array [_numTransformCoordinates][3] containing coordinate transform coordinates for element

getType()

const std::type_info & WmUnstructuredGeometry::getType ( ) const

inline

Get typeid of floats used to store coordinates/geometry stuff.

Returns

Typeid of floats

getVolume()

real WmUnstructuredGeometry::getVolume ( const int  elementIndex ) const

inline

Get the volume of an element.

Parameters

elementIndex

Element of interest

Returns

Volume of element

isEnclosedByElement()

bool WmUnstructuredGeometry::isEnclosedByElement	(	const int	elementIndex,
		const real *	x
	)		const

Check if the element encloses the given location.

Parameters

elementIndex	Element to test
x	Array[3] of location

Returns

Does the element enclose the given point?

num_boundary_faces()

int WmUnstructuredGeometry::num_boundary_faces ( ) const

inline

Returns the number of boundary faces associated with the edge of a domain (i.e.

neighbor = -1)

Returns

Number of boundary faces for patch with all attached node groups

printElement()

void WmUnstructuredGeometry::printElement

(

const int

elementIndex

)

const

Print element info to std::cout - used for DEBUG.

Parameters

elementIndex

Element of interest

reflect_centroid()

void WmUnstructuredGeometry::reflect_centroid	(	const int	element_index,
		const int	face_index,
		real	reflected_centroid[3]
	)		const

Member Data Documentation

_areas

real* WmUnstructuredGeometry::_areas

protected

Areas of element faces [_numElements X _numFacesPerElement].

_centroids

real* WmUnstructuredGeometry::_centroids

protected

Centroids of elements [_numElements X 3].

_connectivity

int* WmUnstructuredGeometry::_connectivity

protected

Connectivity of elements [_numElements X _numNodesPerElement].

_coordinates

real* WmUnstructuredGeometry::_coordinates

protected

Node/vertex positions [_numNodes X _numDimsPerNode].

_neighborhood

int* WmUnstructuredGeometry::_neighborhood

protected

Neighborhood of elements [_numElements X _numFacesPerElement].

_nodeGroups

nodeGroupMap_t WmUnstructuredGeometry::_nodeGroups

protected

Node groups associated with geometry/patch.

_norms

real* WmUnstructuredGeometry::_norms

protected

Face normals for elements [_numElements X 3 X 3].

_num_boundary_faces

int WmUnstructuredGeometry::_num_boundary_faces

protected

Number of boundary faces between patch and unknown where neighbor = -1.

_numDimsPerNode

int WmUnstructuredGeometry::_numDimsPerNode

protected

Number of dimensions used to store nodes/vertexes.

_numDimsPerPrimitive

int WmUnstructuredGeometry::_numDimsPerPrimitive

protected

Number of dimensions for a given primitive.

_numElements

int WmUnstructuredGeometry::_numElements

protected

Number of total elements in patch.

_numFacesPerElement

int WmUnstructuredGeometry::_numFacesPerElement

protected

Number of faces on an element.

_numNodes

int WmUnstructuredGeometry::_numNodes

protected

Number of total nodes in patch.

_numNodesPerElement

int WmUnstructuredGeometry::_numNodesPerElement

protected

Number of nodes/vertexes for a given primitive.

_numNodesPerFace

int WmUnstructuredGeometry::_numNodesPerFace

protected

Number of element nodes/vertexes that make up each face.

_numTransformCoordinates

int WmUnstructuredGeometry::_numTransformCoordinates

protected

Number of coordinate transform coordinates, usually the same as _numNodesPerElement.

_orientations

int* WmUnstructuredGeometry::_orientations

protected

Orientations of faces [_numElements X _numFacesPerElement].

_patch

const WmUnstructuredPatch& WmUnstructuredGeometry::_patch

protected

Patch associated with geometry.

_primitive

std::string WmUnstructuredGeometry::_primitive

protected

Name of element primitive.

_primitiveID

int WmUnstructuredGeometry::_primitiveID

protected

PrimitiveID.

Is either: WMPRIMITIVE_LINE, WMPRIMITIVE_TRIANGLE, WMPRIMITIVE_QUADRILATERAL, WMPRIMITIVE_TETRAHEDRON, WMPRIMITIVE_HEXAHEDRON, or WMPRIMITIVE_POINT

_transformCoordinates

real* WmUnstructuredGeometry::_transformCoordinates

protected

Coordinate transform coordinates [_numElements X _numTransformCoordinates X 3].

_volumes

real* WmUnstructuredGeometry::_volumes

protected

Volumes of elements [_numElements].

---

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

• src/lib/geometry/unstructured_geometry/wmunstructuredgeometry.h