QuadraticMesh< DIM > Class Template Reference

#include <QuadraticMesh.hpp>

Collaboration diagram for QuadraticMesh< DIM >:

Public Member Functions
	QuadraticMesh ()
	QuadraticMesh (double spaceStep, double width, double height=0, double depth=0)
void	ConstructFromMeshReader (AbstractMeshReader< DIM, DIM > &rMeshReader)
void	ConstructFromLinearMeshReader (AbstractMeshReader< DIM, DIM > &rMeshReader)
unsigned	GetNumVertices () const
Protected Member Functions
void	CountVertices ()
template<class Archive >
void	serialize (Archive &archive, const unsigned int version)
void	ConstructLinearMesh (unsigned numElemX)
void	ConstructRectangularMesh (unsigned numElemX, unsigned numElemY, bool stagger=true)
void	ConstructCuboid (unsigned numElemX, unsigned numElemY, unsigned numElemZ)
Node< DIM > *	MakeNewInternalNode (unsigned &rIndex, c_vector< double, DIM > &rLocation, c_vector< double, DIM > &rTop)
unsigned	LookupInternalNode (unsigned globalIndex1, unsigned globalIndex2, std::map< std::pair< unsigned, unsigned >, unsigned > &rEdgeMap)
Protected Attributes
unsigned	mNumVertices
Friends
class	TestQuadraticMesh
class	boost::serialization::access

Detailed Description

template<unsigned DIM>
class QuadraticMesh< DIM >

A concrete quadratic mesh class that inherits from TetrahedralMesh.

Definition at line 51 of file QuadraticMesh.hpp.

Constructor & Destructor Documentation

template<unsigned DIM>

QuadraticMesh< DIM >::QuadraticMesh ( ) [inline]

Constructor

Definition at line 152 of file QuadraticMesh.hpp.

References AbstractTetrahedralMesh< ELEMENT_DIM, SPACE_DIM >::mMeshIsLinear.

template<unsigned DIM>

QuadraticMesh< DIM >::QuadraticMesh	(	double	spaceStep,
		double	width,
		double	height = `0`,
		double	depth = `0`
	)			`[inline]`

Create a quadratic mesh on a slab (on a line in 1D, rectangle in 2d, cuboid in 3D), with the given widths and given space step. In 1D height and depth need to be passed in as 0 (the default value); in 2D depth must be zero

Parameters:

	spaceStep	The spatial stepsize
	width	the width of the cuboid
	height	the height of the cuboid
	depth	the depth of the cuboid

Definition at line 65 of file QuadraticMesh.cpp.

References AbstractTetrahedralMesh< ELEMENT_DIM, SPACE_DIM >::ConstructRegularSlabMesh().

Member Function Documentation

template<unsigned DIM>

void QuadraticMesh< DIM >::ConstructCuboid	(	unsigned	numElemX,
		unsigned	numElemY,
		unsigned	numElemZ
	)			`[inline, protected, virtual]`

Create a quadratic mesh on a cuobid from (0,0,0) to (numElemX,numElemY,numElemZ) with that number of elements in each direction. The method overloads the equivalent method in AbstractTetrahedralMesh. This is private, users should call ConstructRegularSlabMesh();

Parameters:

	numElemX	Number of elements in x-direction (also, the width of the final mesh)
	numElemY	Number of elements in y-direction (also, the height of the final mesh)
	numElemZ	Number of elements in y-direction (also, the depth of the final mesh)

Reimplemented from AbstractTetrahedralMesh< ELEMENT_DIM, SPACE_DIM >.

Definition at line 247 of file QuadraticMesh.cpp.

References QuadraticMesh< DIM >::CountVertices(), AbstractTetrahedralMesh< ELEMENT_DIM, SPACE_DIM >::GetBoundaryElementIteratorBegin(), AbstractTetrahedralMesh< ELEMENT_DIM, SPACE_DIM >::GetBoundaryElementIteratorEnd(), AbstractTetrahedralMesh< ELEMENT_DIM, SPACE_DIM >::GetElementIteratorBegin(), AbstractTetrahedralMesh< ELEMENT_DIM, SPACE_DIM >::GetElementIteratorEnd(), AbstractMesh< ELEMENT_DIM, SPACE_DIM >::GetNumNodes(), QuadraticMesh< DIM >::LookupInternalNode(), QuadraticMesh< DIM >::MakeNewInternalNode(), AbstractTetrahedralMesh< ELEMENT_DIM, SPACE_DIM >::mMeshIsLinear, AbstractMesh< ELEMENT_DIM, SPACE_DIM >::mNodes, and TetrahedralMesh< DIM, DIM >::RefreshMesh().

template<unsigned DIM>

void QuadraticMesh< DIM >::ConstructFromLinearMeshReader ( AbstractMeshReader< DIM, DIM > & rMeshReader ) [inline]

Load a quadratic mesh from a linear mesh file.

Constructs as linear mesh, then exports to triangle/tetgen

Parameters:

rMeshReader

the mesh reader

Definition at line 419 of file QuadraticMesh.cpp.

References QuadraticMesh< DIM >::ConstructFromMeshReader(), QuadraticMesh< DIM >::CountVertices(), TetrahedralMesh< DIM, DIM >::ExportToMesher(), TetrahedralMesh< DIM, DIM >::FreeTriangulateIo(), AbstractTetrahedralMesh< ELEMENT_DIM, SPACE_DIM >::GetNumElements(), AbstractMesh< ELEMENT_DIM, SPACE_DIM >::GetNumNodes(), TetrahedralMesh< DIM, DIM >::ImportFromMesher(), and TetrahedralMesh< DIM, DIM >::InitialiseTriangulateIo().

Referenced by QuadraticMesh< DIM >::ConstructFromMeshReader().

template<unsigned DIM>

void QuadraticMesh< DIM >::ConstructFromMeshReader ( AbstractMeshReader< DIM, DIM > & rMeshReader ) [inline]

Load a quadratic mesh from a file.

Parameters:

rMeshReader

the mesh reader

Definition at line 469 of file QuadraticMesh.cpp.

References QuadraticMesh< DIM >::ConstructFromLinearMeshReader(), QuadraticMesh< DIM >::CountVertices(), AbstractTetrahedralMesh< ELEMENT_DIM, SPACE_DIM >::GetNumBoundaryElements(), and AbstractMeshReader< ELEMENT_DIM, SPACE_DIM >::GetOrderOfElements().

Referenced by QuadraticMesh< DIM >::ConstructFromLinearMeshReader().

template<unsigned DIM>

void QuadraticMesh< DIM >::ConstructLinearMesh ( unsigned numElemX ) [inline, protected, virtual]

Create a quadratic mesh on the interval [0,numElemX] with numElemX elements in each direction. This is private, users should call ConstructRegularSlabMesh();

Very badly named. This creates a QUADRATIC mesh, the linear just refers to the fact the mesh is a line in 1D. The name is inherited from the parent class.

Parameters:

numElemX

Number of elements in x-direction (also, the width of the final mesh)

Reimplemented from AbstractTetrahedralMesh< ELEMENT_DIM, SPACE_DIM >.

Definition at line 76 of file QuadraticMesh.cpp.

References Node< SPACE_DIM >::AddElement(), QuadraticMesh< DIM >::MakeNewInternalNode(), AbstractTetrahedralMesh< ELEMENT_DIM, SPACE_DIM >::mElements, AbstractMesh< ELEMENT_DIM, SPACE_DIM >::mNodes, QuadraticMesh< DIM >::mNumVertices, and TetrahedralMesh< DIM, DIM >::RefreshMesh().

template<unsigned DIM>

void QuadraticMesh< DIM >::ConstructRectangularMesh	(	unsigned	numElemX,
		unsigned	numElemY,
		bool	stagger = `true`
	)			`[inline, protected, virtual]`

Create a quadratic mesh on a rectangle from (0,0) to (numElemX,numElemY) with that number of elements in each direction.

The method overloads the equivalent method in AbstractTetrahedralMesh. This is private, users should call ConstructRegularSlabMesh();

Parameters:

	numElemX	Number of elements in x-direction (also, the width of the final mesh)
	numElemY	Number of elements in y-direction (also, the height of the final mesh)
	stagger	is the same as the over-ridden method with same name in AbstractTetrahedralMesh. stagger = false gives all back-slash diagonals stagger = true check-boards the diagonals as forward and back slashes

Reimplemented from AbstractTetrahedralMesh< ELEMENT_DIM, SPACE_DIM >.

Definition at line 107 of file QuadraticMesh.cpp.

References QuadraticMesh< DIM >::CountVertices(), AbstractTetrahedralMesh< ELEMENT_DIM, SPACE_DIM >::GetBoundaryElementIteratorBegin(), AbstractTetrahedralMesh< ELEMENT_DIM, SPACE_DIM >::GetBoundaryElementIteratorEnd(), AbstractTetrahedralMesh< ELEMENT_DIM, SPACE_DIM >::GetElementIteratorBegin(), AbstractTetrahedralMesh< ELEMENT_DIM, SPACE_DIM >::GetElementIteratorEnd(), AbstractMesh< ELEMENT_DIM, SPACE_DIM >::GetNumNodes(), QuadraticMesh< DIM >::LookupInternalNode(), QuadraticMesh< DIM >::MakeNewInternalNode(), AbstractTetrahedralMesh< ELEMENT_DIM, SPACE_DIM >::mMeshIsLinear, AbstractMesh< ELEMENT_DIM, SPACE_DIM >::mNodes, and TetrahedralMesh< DIM, DIM >::RefreshMesh().

template<unsigned DIM>

void QuadraticMesh< DIM >::CountVertices ( ) [inline, protected]

Count nodes which are vertices (not marked as internal)

Definition at line 51 of file QuadraticMesh.cpp.

References AbstractMesh< ELEMENT_DIM, SPACE_DIM >::GetNode(), AbstractMesh< ELEMENT_DIM, SPACE_DIM >::GetNumNodes(), and QuadraticMesh< DIM >::mNumVertices.

Referenced by QuadraticMesh< DIM >::ConstructCuboid(), QuadraticMesh< DIM >::ConstructFromLinearMeshReader(), QuadraticMesh< DIM >::ConstructFromMeshReader(), and QuadraticMesh< DIM >::ConstructRectangularMesh().

template<unsigned DIM>

unsigned QuadraticMesh< DIM >::GetNumVertices ( ) const [inline, virtual]

Returns:: the number of vertices, ie non-internal (non-quadratic), nodes.

Reimplemented from AbstractTetrahedralMesh< ELEMENT_DIM, SPACE_DIM >.

Definition at line 412 of file QuadraticMesh.cpp.

References QuadraticMesh< DIM >::mNumVertices.

template<unsigned DIM>

unsigned QuadraticMesh< DIM >::LookupInternalNode	(	unsigned	globalIndex1,
		unsigned	globalIndex2,
		std::map< std::pair< unsigned, unsigned >, unsigned > &	rEdgeMap
	)			`[inline, protected]`

A helper method used in the private structured mesh constructors (ConstructRectangularMesh etc).

Gets the internal node index between two vertex node indices assuming ordered pairs have been used as keys in the map

Parameters:

	globalIndex1	is the index of one of the vertex nodes
	globalIndex2	is the index of the other vertex node (ordering is unimportant)
	rEdgeMap	the map from ordered pairs of vertex indices to internal node index

Returns:: global node index of the internal node between globalIndex1 and globalIndex2

Definition at line 229 of file QuadraticMesh.cpp.

Referenced by QuadraticMesh< DIM >::ConstructCuboid(), and QuadraticMesh< DIM >::ConstructRectangularMesh().

template<unsigned DIM>

Node< DIM > * QuadraticMesh< DIM >::MakeNewInternalNode	(	unsigned &	rIndex,
		c_vector< double, DIM > &	rLocation,
		c_vector< double, DIM > &	rTop
	)			`[inline, protected]`

A helper method used in the private structured mesh constructors (ConstructRectangularMesh etc).

Method uses top (and the zero vector) to calculate if the node should be designated as a boundary node. Method uses top to determine if the node is outside the cuboid -- this allows for simpler loops in the caller Method creates node, pushes node onto mNodes and marks it as an internal node.

Returns:: pointer to new node

Parameters:

	rIndex	is the index in the mesh which this node should take. Note: this method increments rIndex
	rLocation	the position of the node in space (coordinates should be integers or multiples of 1/2)
	rTop	the position of top-most node in the line/slab/cuboid

Definition at line 200 of file QuadraticMesh.cpp.

References AbstractMesh< ELEMENT_DIM, SPACE_DIM >::mBoundaryNodes, and AbstractMesh< ELEMENT_DIM, SPACE_DIM >::mNodes.

Referenced by QuadraticMesh< DIM >::ConstructCuboid(), QuadraticMesh< DIM >::ConstructLinearMesh(), and QuadraticMesh< DIM >::ConstructRectangularMesh().

template<unsigned DIM>

template<class Archive >