#include <ImmersedBoundaryMesh.hpp>

Inheritance diagram for ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >:

Collaboration diagram for ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >:

Classes
class	ImmersedBoundaryElementIterator

class	ImmersedBoundaryLaminaIterator

Public Member Functions
const std::vector< Node< SPACE_DIM > * > &	rGetNodes () const

ImmersedBoundaryElementIterator	GetElementIteratorBegin (bool skipDeletedElements=true)

ImmersedBoundaryElementIterator	GetElementIteratorEnd ()

ImmersedBoundaryLaminaIterator	GetLaminaIteratorBegin (bool skipDeletedLaminas=true)

ImmersedBoundaryLaminaIterator	GetLaminaIteratorEnd ()

	ImmersedBoundaryMesh (std::vector< Node< SPACE_DIM > * > nodes, std::vector< ImmersedBoundaryElement< ELEMENT_DIM, SPACE_DIM > * > elements, std::vector< ImmersedBoundaryElement< ELEMENT_DIM - 1, SPACE_DIM > * > laminas={}, unsigned numGridPtsX=128u, unsigned numGridPtsY=128u)

	ImmersedBoundaryMesh ()

virtual	~ImmersedBoundaryMesh ()

virtual unsigned	GetNumNodes () const

virtual unsigned	GetNumElements () const

unsigned	GetNumAllElements () const

unsigned	GetNumLaminas () const

unsigned	GetNumGridPtsX () const

unsigned	GetNumGridPtsY () const

double	GetCharacteristicNodeSpacing () const

double	GetSpacingRatio () const

unsigned	GetMaxNodeIndex () const

unsigned	GetMaxElementIndex () const

unsigned	GetMaxLaminaIndex () const

c_vector< double, SPACE_DIM >	GetVectorFromAtoB (const c_vector< double, SPACE_DIM > &rLocation1, const c_vector< double, SPACE_DIM > &rLocation2)

void	SetNode (unsigned nodeIndex, ChastePoint< SPACE_DIM > point)

void	ConformToGeometry (c_vector< double, SPACE_DIM > &rLocation)

const multi_array< double, 3 > &	rGet2dVelocityGrids () const

multi_array< double, 3 > &	rGetModifiable2dVelocityGrids ()

void	SetNumGridPtsX (unsigned meshPointsX)

void	SetNumGridPtsY (unsigned meshPointsY)

void	SetNumGridPtsXAndY (unsigned numGridPts)

void	SetCharacteristicNodeSpacing (double nodeSpacing)

unsigned	AddNode (Node< SPACE_DIM > *pNewNode)

std::vector< std::shared_ptr< FluidSource< SPACE_DIM > > > &	rGetElementFluidSources ()

std::vector< std::shared_ptr< FluidSource< SPACE_DIM > > > &	rGetBalancingFluidSources ()

std::set< unsigned >	GetNeighbouringNodeIndices (unsigned nodeIndex)

ImmersedBoundaryElement< ELEMENT_DIM, SPACE_DIM > *	GetElement (unsigned index) const

ImmersedBoundaryElement< ELEMENT_DIM - 1, SPACE_DIM > *	GetLamina (unsigned index) const

virtual c_vector< double, SPACE_DIM >	GetCentroidOfElement (unsigned index)

void	ConstructFromMeshReader (AbstractMeshReader< ELEMENT_DIM, SPACE_DIM > &rMeshReader)

virtual void	Clear ()

virtual double	GetVolumeOfElement (unsigned index)

virtual double	GetSurfaceAreaOfElement (unsigned index)

double	GetVoronoiSurfaceAreaOfElement (unsigned elemIdx)

double	GetAverageNodeSpacingOfElement (unsigned index, bool recalculate=true)

double	GetAverageNodeSpacingOfLamina (unsigned index, bool recalculate=true)

virtual c_vector< double, 3 >	CalculateMomentsOfElement (unsigned index)

double	GetElongationShapeFactorOfElement (unsigned elementIndex)

double	GetTortuosityOfMesh ()

double	GetSkewnessOfElementMassDistributionAboutAxis (unsigned elemIndex, c_vector< double, SPACE_DIM > axis)

ChasteCuboid< SPACE_DIM >	CalculateBoundingBoxOfElement (unsigned index)

c_vector< double, SPACE_DIM >	GetShortAxisOfElement (unsigned index)

unsigned	DivideElementAlongGivenAxis (ImmersedBoundaryElement< ELEMENT_DIM, SPACE_DIM > *pElement, c_vector< double, SPACE_DIM > axisOfDivision, bool placeOriginalElementBelow=false)

unsigned	DivideElementAlongShortAxis (ImmersedBoundaryElement< ELEMENT_DIM, SPACE_DIM > *pElement, bool placeOriginalElementBelow=false)

double	GetElementDivisionSpacing ()

void	SetElementDivisionSpacing (double elementDivisionSpacing)

double	GetNeighbourDist () const

void	SetCellRearrangementThreshold (double cellRearrangementThreshold)

double	GetCellRearrangementThreshold ()

void	SetNeighbourDist (double neighbourDist)

void	UpdateNodeLocationsVoronoiDiagramIfOutOfDate ()

void	ReMesh (bool randomOrder=false)

void	ReMeshElement (ImmersedBoundaryElement< ELEMENT_DIM, SPACE_DIM > *pElement, bool randomOrder)

void	ReMeshLamina (ImmersedBoundaryElement< ELEMENT_DIM - 1, SPACE_DIM > *pLamina, bool randomOrder)

bool	NodesInDifferentElementOrLamina (Node< SPACE_DIM > pNodeA, Node< SPACE_DIM > pNodeB)

std::set< unsigned >	GetNeighbouringElementIndices (unsigned elemIdx)

double	CalculateLengthOfVoronoiEdge (const boost::polygon::voronoi_diagram< double >::edge_type &rEdge)

std::array< unsigned, 13 >	GetPolygonDistribution ()

const boost::polygon::voronoi_diagram< double > &	rGetNodeLocationsVoronoiDiagram (bool update=true)

const std::vector< unsigned int > &	GetVoronoiCellIdsIndexedByNodeIndex () const

int	ScaleUpToVoronoiCoordinate (double location) const

double	ScaleDistanceDownFromVoronoi (const double distance) const

double	GetVoronoiSurfaceAreaOfElement (const unsigned elemIdx)

Public Member Functions inherited from AbstractMesh< ELEMENT_DIM, SPACE_DIM >
NodeIterator	GetNodeIteratorBegin (bool skipDeletedNodes=true)

NodeIterator	GetNodeIteratorEnd ()

	AbstractMesh ()

virtual	~AbstractMesh ()

unsigned	GetNumBoundaryNodes () const

virtual unsigned	GetNumAllNodes () const

unsigned	GetNumNodeAttributes () const

Node< SPACE_DIM > *	GetNode (unsigned index) const

virtual Node< SPACE_DIM > *	GetNodeOrHaloNode (unsigned index) const

Node< SPACE_DIM > *	GetNodeFromPrePermutationIndex (unsigned index) const

virtual void	ReadNodesPerProcessorFile (const std::string &rNodesPerProcessorFile)

virtual DistributedVectorFactory *	GetDistributedVectorFactory ()

virtual void	SetDistributedVectorFactory (DistributedVectorFactory *pFactory)

virtual void	PermuteNodes ()

BoundaryNodeIterator	GetBoundaryNodeIteratorBegin () const

BoundaryNodeIterator	GetBoundaryNodeIteratorEnd () const

std::string	GetMeshFileBaseName () const

bool	IsMeshOnDisk () const

const std::vector< unsigned > &	rGetNodePermutation () const

double	GetDistanceBetweenNodes (unsigned indexA, unsigned indexB)

virtual double	GetWidth (const unsigned &rDimension) const

virtual ChasteCuboid< SPACE_DIM >	CalculateBoundingBox () const

virtual unsigned	GetNearestNodeIndex (const ChastePoint< SPACE_DIM > &rTestPoint)

virtual void	Scale (const double xFactor=1.0, const double yFactor=1.0, const double zFactor=1.0)

virtual void	Translate (const c_vector< double, SPACE_DIM > &rDisplacement)

void	Translate (const double xMovement=0.0, const double yMovement=0.0, const double zMovement=0.0)

virtual void	Rotate (c_matrix< double, SPACE_DIM, SPACE_DIM > rotationMatrix)

void	Rotate (c_vector< double, 3 > axis, double angle)

void	RotateX (const double theta)

void	RotateY (const double theta)

void	RotateZ (const double theta)

void	Rotate (double theta)

virtual void	RefreshMesh ()

bool	IsMeshChanging () const

unsigned	CalculateMaximumContainingElementsPerProcess () const

void	SetMeshHasChangedSinceLoading ()

Protected Member Functions
unsigned	SolveNodeMapping (unsigned index) const

unsigned	SolveElementMapping (unsigned index) const

unsigned	SolveBoundaryElementMapping (unsigned index) const

void	TagBoundaryElements ()

unsigned	DivideElement (ImmersedBoundaryElement< ELEMENT_DIM, SPACE_DIM > *pElement, unsigned nodeAIndex, unsigned nodeBIndex, c_vector< double, SPACE_DIM > centroid, c_vector< double, SPACE_DIM > axisOfDivision)

template<class Archive >
void	save (Archive &archive, const unsigned int version) const

template<class Archive >
void	load (Archive &archive, const unsigned int version)

Protected Member Functions inherited from AbstractMesh< ELEMENT_DIM, SPACE_DIM >
virtual void	SetElementOwnerships ()

ChasteCuboid< SPACE_DIM >	CalculateBoundingBox (const std::vector< Node< SPACE_DIM > * > &rNodes) const

Protected Attributes
unsigned	mNumGridPtsX

unsigned	mNumGridPtsY

double	mCharacteristicNodeSpacing

double	mElementDivisionSpacing

double	mNeighbourDist

double	mSummaryOfNodeLocations

double	mCellRearrangementThreshold

std::vector< unsigned >	mDeletedNodeIndices

std::vector< unsigned >	mDeletedElementIndices

multi_array< double, 3 >	m2dVelocityGrids

multi_array< double, 4 >	m3dVelocityGrids

std::vector< ImmersedBoundaryElement< ELEMENT_DIM, SPACE_DIM > * >	mElements

std::vector< ImmersedBoundaryElement< ELEMENT_DIM - 1, SPACE_DIM > * >	mLaminas

std::vector< std::shared_ptr< FluidSource< SPACE_DIM > > >	mElementFluidSources

std::vector< std::shared_ptr< FluidSource< SPACE_DIM > > >	mBalancingFluidSources

boost::polygon::voronoi_diagram< double >	mNodeLocationsVoronoiDiagram

std::vector< unsigned >	mVoronoiCellIdsIndexedByNodeIndex

Protected Attributes inherited from AbstractMesh< ELEMENT_DIM, SPACE_DIM >
std::vector< Node< SPACE_DIM > * >	mNodes

std::vector< Node< SPACE_DIM > * >	mBoundaryNodes

DistributedVectorFactory *	mpDistributedVectorFactory

std::vector< unsigned >	mNodePermutation

std::string	mMeshFileBaseName

bool	mMeshChangesDuringSimulation

Static Protected Attributes
static constexpr double	mVoronoiHalo = 0.1

Friends
class	TestImmersedBoundaryMesh

class	boost::serialization::access

Additional Inherited Members
Public Types inherited from AbstractMesh< ELEMENT_DIM, SPACE_DIM >
typedef std::vector< Node< SPACE_DIM > * >::const_iterator	BoundaryNodeIterator

Detailed Description

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
class ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >

An immersed boundary mesh class, in which elements may contain different numbers of nodes. This is facilitated by the ImmersedBoundaryElement class.

This class allows immersed boundary simulations.

Definition at line 69 of file ImmersedBoundaryMesh.hpp.

Constructor & Destructor Documentation

◆ ImmersedBoundaryMesh() [1/2]

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::ImmersedBoundaryMesh	(	std::vector< Node< SPACE_DIM > * >	nodes,
		std::vector< ImmersedBoundaryElement< ELEMENT_DIM, SPACE_DIM > * >	elements,
		std::vector< ImmersedBoundaryElement< ELEMENT_DIM - 1, SPACE_DIM > * >	laminas = `{}`,
		unsigned	numGridPtsX = `128u`,
		unsigned	numGridPtsY = `128u`
	)

Default constructor.

Parameters

nodes	vector of pointers to nodes
elements	vector of pointers to ImmersedBoundaryElements
laminas	vector of pointers to lamina ImmersedBoundaryElements
numGridPtsX	the number of grid points in the x direction
numGridPtsY	the number of grid points in the y direction

Definition at line 49 of file ImmersedBoundaryMesh.cpp.

◆ ImmersedBoundaryMesh() [2/2]

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::ImmersedBoundaryMesh ( )

Default constructor for use by serializer.

Definition at line 515 of file ImmersedBoundaryMesh.cpp.

◆ ~ImmersedBoundaryMesh()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::~ImmersedBoundaryMesh ( )

virtual

Destructor.

Definition at line 522 of file ImmersedBoundaryMesh.cpp.

Member Function Documentation

◆ AddNode()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

unsigned ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::AddNode ( Node< SPACE_DIM > * pNewNode )

Add a node to the mesh

Parameters

pNewNode a pointer to the node to be added to the mesh.

Returns: the index of the new node

Definition at line 694 of file ImmersedBoundaryMesh.cpp.

◆ CalculateBoundingBoxOfElement()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

ChasteCuboid< SPACE_DIM > ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::CalculateBoundingBoxOfElement ( unsigned index )

Calculate the bounding box of an element specified by its index.

Parameters

index the index of the element

Returns: a Chaste cuboid representing the element bounding box

Definition at line 476 of file ImmersedBoundaryMesh.cpp.

◆ CalculateLengthOfVoronoiEdge()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

double ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::CalculateLengthOfVoronoiEdge ( const boost::polygon::voronoi_diagram< double >::edge_type & rEdge )

Get the length of an edge in the voronoi diagram mNodeLocationsVoronoiDiagram. This gives the "real" length after undoing the scaling required when calculating the diagram.

Parameters

rEdge the edge to calculate the length of

Returns: the length of rEdge

Definition at line 1933 of file ImmersedBoundaryMesh.cpp.

◆ CalculateMomentsOfElement()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

c_vector< double, 3 > ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::CalculateMomentsOfElement ( unsigned index )

virtual

Compute the second moments and product moment of area for a given 2D element about its centroid. These are:

I_xx, the second moment of area about an axis through the centroid of the element parallel to the x-axis;

I_yy, the second moment of area about an axis through the centroid of the element parallel to the y-axis;

and I_xy, product moment of area through the centroid of the element.

Formulae for these quantities may be found e.g. in the following reference:

Mechanics of Materials James M. Gere (Author), Barry J. Goodno. Cengage Learning; 8th edition (January 1, 2012)

This method is used within GetShortAxisOfElement() to compute the direction of the shortest principal axis passing through the centroid, or 'short axis', of the element.

Note that by definition, the second moments of area must be non-negative, while the product moment of area may not be.

Parameters

index the global index of a specified immersed boundary element

Returns: (Ixx,Iyy,Ixy).

Definition at line 1180 of file ImmersedBoundaryMesh.cpp.

References AbstractElement< ELEMENT_DIM, SPACE_DIM >::GetNodeLocation(), AbstractElement< ELEMENT_DIM, SPACE_DIM >::GetNumNodes(), and NEVER_REACHED.

◆ Clear()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

void ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::Clear ( )

virtual

Delete mNodes, mFaces and mElements.

Definition at line 578 of file ImmersedBoundaryMesh.cpp.

Referenced by ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::ImmersedBoundaryMesh().

◆ ConformToGeometry()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

void ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::ConformToGeometry ( c_vector< double, SPACE_DIM > & rLocation )

Transform a location so that it lies within the domain [0,1)x[0,1). This method assumes the location is already 'close' to the domain, for instance because a location has previously been 'straightened out' for geometric calculations that require no looping due to periodicity.

Parameters

rLocation the location to transform

Definition at line 1819 of file ImmersedBoundaryMesh.cpp.

◆ ConstructFromMeshReader()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

void ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::ConstructFromMeshReader ( AbstractMeshReader< ELEMENT_DIM, SPACE_DIM > & rMeshReader )

Construct the mesh using a MeshReader.

Parameters

rMeshReader the mesh reader

Referenced by ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::load().

◆ DivideElement()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

unsigned ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::DivideElement	(	ImmersedBoundaryElement< ELEMENT_DIM, SPACE_DIM > *	pElement,
		unsigned	nodeAIndex,
		unsigned	nodeBIndex,
		c_vector< double, SPACE_DIM >	centroid,
		c_vector< double, SPACE_DIM >	axisOfDivision
	)

protected

Divide an element along the axis passing through two of its nodes.

Parameters

pElement	the element to divide
nodeAIndex	the local index of one node within this element
nodeBIndex	the local index of another node within this element
centroid	the centroid of the element being divided
axisOfDivision	the specified division axis

Returns: the index of the new element

Definition at line 1369 of file ImmersedBoundaryMesh.cpp.

References DOUBLE_UNSET, EXCEPTION, ImmersedBoundaryElement< ELEMENT_DIM, SPACE_DIM >::GetFluidSource(), AbstractElement< ELEMENT_DIM, SPACE_DIM >::GetIndex(), AbstractElement< ELEMENT_DIM, SPACE_DIM >::GetNode(), AbstractElement< ELEMENT_DIM, SPACE_DIM >::GetNumElementAttributes(), AbstractElement< ELEMENT_DIM, SPACE_DIM >::GetNumNodes(), NEVER_REACHED, ImmersedBoundaryElement< ELEMENT_DIM, SPACE_DIM >::rGetCornerNodes(), and AbstractElement< ELEMENT_DIM, SPACE_DIM >::rGetElementAttributes().

◆ DivideElementAlongGivenAxis()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

unsigned ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::DivideElementAlongGivenAxis	(	ImmersedBoundaryElement< ELEMENT_DIM, SPACE_DIM > *	pElement,
		c_vector< double, SPACE_DIM >	axisOfDivision,
		bool	placeOriginalElementBelow = `false`
	)

Divide an element along a specified axis.

If the new nodes (intersections of axis with element) are within mCellRearrangementThreshold of existing nodes then they are moved 2*mCellRearrangementThreshold away.

Parameters

pElement	the element to divide
axisOfDivision	axis to divide the element by
placeOriginalElementBelow	whether to place the original element below (in the y direction) the new element (defaults to false)

Returns: the index of the new element

Definition at line 1297 of file ImmersedBoundaryMesh.cpp.

References EXCEPTION, AbstractElement< ELEMENT_DIM, SPACE_DIM >::GetIndex(), AbstractElement< ELEMENT_DIM, SPACE_DIM >::GetNodeLocation(), AbstractElement< ELEMENT_DIM, SPACE_DIM >::GetNumNodes(), and NEVER_REACHED.

◆ DivideElementAlongShortAxis()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

unsigned ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::DivideElementAlongShortAxis	(	ImmersedBoundaryElement< ELEMENT_DIM, SPACE_DIM > *	pElement,
		bool	placeOriginalElementBelow = `false`
	)

Divide an element along its short axis.

Parameters

pElement	the element to divide
placeOriginalElementBelow	whether to place the original element below (in the y direction) the new element (defaults to false)

Returns: the index of the new element

Definition at line 1353 of file ImmersedBoundaryMesh.cpp.

References AbstractElement< ELEMENT_DIM, SPACE_DIM >::GetIndex(), and NEVER_REACHED.

◆ GetAverageNodeSpacingOfElement()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

double ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::GetAverageNodeSpacingOfElement	(	unsigned	index,
		bool	recalculate = `true`
	)

Compute the average node spacing of an element.

Parameters

index	the global index of a specified immersed boundary element
recalculate	whether or not to recalculate the value

Returns: the average node spacing of the element

Definition at line 1121 of file ImmersedBoundaryMesh.cpp.

References DOUBLE_UNSET.

Referenced by ImmersedBoundaryKinematicFeedbackForce< DIM >::AddImmersedBoundaryForceContribution(), ImmersedBoundaryLinearDifferentialAdhesionForce< DIM >::AddImmersedBoundaryForceContribution(), ImmersedBoundaryLinearInteractionForce< DIM >::AddImmersedBoundaryForceContribution(), ImmersedBoundaryMorseInteractionForce< DIM >::AddImmersedBoundaryForceContribution(), ImmersedBoundaryLinearMembraneForce< DIM >::CalculateForcesOnElement(), ImmersedBoundaryMorseMembraneForce< DIM >::CalculateForcesOnElement(), and ImmersedBoundarySvgWriter< DIM >::UpdateAtEndOfTimeStep().

◆ GetAverageNodeSpacingOfLamina()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

double ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::GetAverageNodeSpacingOfLamina	(	unsigned	index,
		bool	recalculate = `true`
	)

Compute the average node spacing of a lamina.

Parameters

index	the global index of a specified immersed boundary lamina
recalculate	whether or not to recalculate the value

Returns: the average node spacing of the lamina

Definition at line 1137 of file ImmersedBoundaryMesh.cpp.

References DOUBLE_UNSET.

Referenced by ImmersedBoundaryLinearInteractionForce< DIM >::AddImmersedBoundaryForceContribution(), ImmersedBoundaryMorseInteractionForce< DIM >::AddImmersedBoundaryForceContribution(), ImmersedBoundaryLinearMembraneForce< DIM >::CalculateForcesOnElement(), and ImmersedBoundaryMorseMembraneForce< DIM >::CalculateForcesOnElement().

◆ GetCellRearrangementThreshold()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

double ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::GetCellRearrangementThreshold ( )

Returns: the maximum distance a cell vertex can move without triggering a step size exception

Definition at line 709 of file ImmersedBoundaryMesh.cpp.

◆ GetCentroidOfElement()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

c_vector< double, SPACE_DIM > ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::GetCentroidOfElement ( unsigned index )

virtual

Compute the centroid of an element.

A formula for the centroid of a plane polygon may be found e.g. in the following reference:

Mechanics of Materials James M. Gere (Author), Barry J. Goodno. Cengage Learning; 8th edition (January 1, 2012)

This needs to be overridden in daughter classes for non-Euclidean metrics.

Parameters

index the global index of a specified immersed boundary element

Returns: (centroid_x, centroid_y).

Definition at line 792 of file ImmersedBoundaryMesh.cpp.

References AbstractElement< ELEMENT_DIM, SPACE_DIM >::GetNodeLocation(), AbstractElement< ELEMENT_DIM, SPACE_DIM >::GetNumNodes(), and NEVER_REACHED.

Referenced by ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::ImmersedBoundaryMesh().

◆ GetCharacteristicNodeSpacing()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

double ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::GetCharacteristicNodeSpacing ( ) const

Returns: the characteristic node spacing.

Definition at line 606 of file ImmersedBoundaryMesh.cpp.

◆ GetElement()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

ImmersedBoundaryElement< ELEMENT_DIM, SPACE_DIM > * ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::GetElement ( unsigned index ) const

Parameters

index the global index of a specified immersed boundary element.

Returns: a pointer to the immersed boundary element

Definition at line 766 of file ImmersedBoundaryMesh.cpp.

Referenced by CellPopulationElementWriter< ELEMENT_DIM, SPACE_DIM >::Visit().

◆ GetElementDivisionSpacing()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

double ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::GetElementDivisionSpacing ( )

Returns: mElementDivisionSpacing

Definition at line 1164 of file ImmersedBoundaryMesh.cpp.

◆ GetElementIteratorBegin()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::ImmersedBoundaryElementIterator ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::GetElementIteratorBegin ( bool skipDeletedElements = true )

inline

Returns: an iterator to the first element in the mesh.

Parameters

skipDeletedElements whether to include deleted elements

Definition at line 923 of file ImmersedBoundaryMesh.hpp.

Referenced by ImmersedBoundaryLinearMembraneForce< DIM >::AddImmersedBoundaryForceContribution(), ImmersedBoundaryMorseMembraneForce< DIM >::AddImmersedBoundaryForceContribution(), ImmersedBoundaryMeshWriter< ELEMENT_DIM, SPACE_DIM >::FindElementOverlaps(), and ImmersedBoundaryMeshWriter< ELEMENT_DIM, SPACE_DIM >::MakeVtkMesh().

◆ GetElementIteratorEnd()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::ImmersedBoundaryElementIterator ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::GetElementIteratorEnd ( )

inline

Returns: an iterator to one past the last element in the mesh.

Definition at line 930 of file ImmersedBoundaryMesh.hpp.

Referenced by ImmersedBoundaryLinearMembraneForce< DIM >::AddImmersedBoundaryForceContribution(), ImmersedBoundaryMorseMembraneForce< DIM >::AddImmersedBoundaryForceContribution(), ImmersedBoundaryMeshWriter< ELEMENT_DIM, SPACE_DIM >::FindElementOverlaps(), and ImmersedBoundaryMeshWriter< ELEMENT_DIM, SPACE_DIM >::MakeVtkMesh().

◆ GetElongationShapeFactorOfElement()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

double ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::GetElongationShapeFactorOfElement ( unsigned elementIndex )

Get the elongation shape factor of a given element. This is defined as the square root of the ratio of the two second moments of the element around its principal axes.

Parameters

elementIndex index of an element in the mesh

Returns: the elongation shape factor of the element.

Definition at line 175 of file ImmersedBoundaryMesh.cpp.

◆ GetLamina()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

ImmersedBoundaryElement< ELEMENT_DIM - 1, SPACE_DIM > * ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::GetLamina ( unsigned index ) const

Parameters

index the global index of a specified immersed boundary lamina.

Returns: a pointer to the immersed boundary lamina

Definition at line 773 of file ImmersedBoundaryMesh.cpp.

◆ GetLaminaIteratorBegin()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::ImmersedBoundaryLaminaIterator ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::GetLaminaIteratorBegin ( bool skipDeletedLaminas = true )

inline

Returns: an iterator to the first lamina in the mesh.

Parameters

skipDeletedLaminas whether to include deleted laminas

Definition at line 1007 of file ImmersedBoundaryMesh.hpp.

References ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::mLaminas.

Referenced by ImmersedBoundaryLinearMembraneForce< DIM >::AddImmersedBoundaryForceContribution(), ImmersedBoundaryMorseMembraneForce< DIM >::AddImmersedBoundaryForceContribution(), and ImmersedBoundaryMeshWriter< ELEMENT_DIM, SPACE_DIM >::MakeVtkMesh().

◆ GetLaminaIteratorEnd()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::ImmersedBoundaryLaminaIterator ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::GetLaminaIteratorEnd ( )

inline

Returns: an iterator to one past the last element in the mesh.

Definition at line 1014 of file ImmersedBoundaryMesh.hpp.

References ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::mLaminas.

Referenced by ImmersedBoundaryLinearMembraneForce< DIM >::AddImmersedBoundaryForceContribution(), ImmersedBoundaryMorseMembraneForce< DIM >::AddImmersedBoundaryForceContribution(), and ImmersedBoundaryMeshWriter< ELEMENT_DIM, SPACE_DIM >::MakeVtkMesh().

◆ GetMaxElementIndex()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

unsigned ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::GetMaxElementIndex ( ) const

Returns: the maximum element index (elements may not be indexed consecutively), or UINT_MAX if there are none

Definition at line 1963 of file ImmersedBoundaryMesh.cpp.

◆ GetMaxLaminaIndex()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

unsigned ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::GetMaxLaminaIndex ( ) const

Returns: the maximum lamina index (laminas may not be indexed consecutively), or UINT_MAX if there are none

Definition at line 1984 of file ImmersedBoundaryMesh.cpp.

◆ GetMaxNodeIndex()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

unsigned ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::GetMaxNodeIndex ( ) const

Returns: the maximum node index (nodes may not be indexed consecutively), or UINT_MAX if there are none

Definition at line 1944 of file ImmersedBoundaryMesh.cpp.

◆ GetNeighbourDist()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

double ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::GetNeighbourDist ( ) const

Returns: mNeighbourDist

Definition at line 780 of file ImmersedBoundaryMesh.cpp.

◆ GetNeighbouringElementIndices()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

std::set< unsigned > ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::GetNeighbouringElementIndices ( unsigned elemIdx )

Given an element index, find a set containing the indices of its neighbouring elements.

Parameters

elemIdx global index of the element

Returns: a set of its neighbouring element indices

Definition at line 1854 of file ImmersedBoundaryMesh.cpp.

References EXCEPTION.

◆ GetNeighbouringNodeIndices()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

std::set< unsigned > ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::GetNeighbouringNodeIndices ( unsigned nodeIndex )

Given a node, find a set containing the indices of its neighbouring nodes.

Parameters

nodeIndex global index of the node

Returns: its neighbouring node indices

Definition at line 528 of file ImmersedBoundaryMesh.cpp.

◆ GetNumAllElements()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

unsigned ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::GetNumAllElements ( ) const

Returns: the number of ImmersedBoundaryElements in the mesh, including those marked as deleted.

Definition at line 754 of file ImmersedBoundaryMesh.cpp.

Referenced by ImmersedBoundaryMeshWriter< ELEMENT_DIM, SPACE_DIM >::FindElementOverlaps().

◆ GetNumElements()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

unsigned ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::GetNumElements ( ) const

virtual

Returns: the number of ImmersedBoundaryElements in the mesh.

Definition at line 748 of file ImmersedBoundaryMesh.cpp.

◆ GetNumGridPtsX()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

unsigned ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::GetNumGridPtsX ( ) const

Returns: the number of fluid mesh points in the x direction.

Definition at line 624 of file ImmersedBoundaryMesh.cpp.

Referenced by ImmersedBoundary2dArrays< DIM >::ImmersedBoundary2dArrays(), and ImmersedBoundaryFftInterface< DIM >::ImmersedBoundaryFftInterface().

◆ GetNumGridPtsY()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

unsigned ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::GetNumGridPtsY ( ) const

Returns: the number of fluid mesh points in the y direction.

Definition at line 630 of file ImmersedBoundaryMesh.cpp.

Referenced by ImmersedBoundary2dArrays< DIM >::ImmersedBoundary2dArrays(), and ImmersedBoundaryFftInterface< DIM >::ImmersedBoundaryFftInterface().

◆ GetNumLaminas()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

unsigned ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::GetNumLaminas ( ) const

Returns: the number of laminas in the mesh.

Definition at line 760 of file ImmersedBoundaryMesh.cpp.

Referenced by ImmersedBoundaryLinearDifferentialAdhesionForce< DIM >::AddImmersedBoundaryForceContribution().

◆ GetNumNodes()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

unsigned ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::GetNumNodes ( ) const

virtual

Returns: the number of Nodes in the mesh.

Reimplemented from AbstractMesh< ELEMENT_DIM, SPACE_DIM >.

Definition at line 742 of file ImmersedBoundaryMesh.cpp.

Referenced by ImmersedBoundaryMeshWriter< ELEMENT_DIM, SPACE_DIM >::MakeVtkMesh(), and ImmersedBoundaryMeshWriter< ELEMENT_DIM, SPACE_DIM >::WriteFilesUsingMesh().

◆ GetPolygonDistribution()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

std::array< unsigned, 13 > ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::GetPolygonDistribution ( )

Calculate the polygon distribution for the mesh: number of {0, 1, 2, 3, 4, 5,..., 12+}-gons. Note that the vector will always begin {0, 0, 0, ...} as there can be no 0, 1, or 2-gons, but this choice means that accessing the nth element of the vector gives you the number of n-gons which seems to be most natural. All 12-sided and higher order polygons are accumulated in the array[12] position.

Returns: an array of length 13 representing the polygon distribution.

Definition at line 1908 of file ImmersedBoundaryMesh.cpp.

References NEVER_REACHED.

◆ GetShortAxisOfElement()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

c_vector< double, SPACE_DIM > ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::GetShortAxisOfElement ( unsigned index )

Compute the direction of the shortest principal axis passing through the centroid, or 'short axis', of a given element. This is the eigenvector associated with the eigenvalue of largest magnitude of the inertia matrix

J = ( I_xx -I_xy ) ( -I_xy I_yy )

whose entries are computed by calling the method CalculateMomentsOfElement().

Note that if the nodes owned by the element are supplied in clockwise rather than anticlockwise manner, or if this arises when any periodicity is enforced, then the sign of each moment may be incorrect change. This means that we need to consider the eigenvalue of largest magnitude rather than largest value when computing the short axis of the element.

If the element is a regular polygon then the eigenvalues of the inertia tensor are equal: in this case we return a random unit vector.

This method is only implemented in 2D at present.

Parameters

index the global index of a specified immersed boundary element

Returns: a unit vector giving the direction of the short axis

Definition at line 1239 of file ImmersedBoundaryMesh.cpp.

References RandomNumberGenerator::Instance(), NEVER_REACHED, and RandomNumberGenerator::ranf().

Referenced by ShortAxisImmersedBoundaryDivisionRule< SPACE_DIM >::CalculateCellDivisionVector().

◆ GetSkewnessOfElementMassDistributionAboutAxis()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

double ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::GetSkewnessOfElementMassDistributionAboutAxis	(	unsigned	elemIndex,
		c_vector< double, SPACE_DIM >	axis
	)

Calculate the skewness of the mass-distribution of a given element along a line perpendicular to a given axis, as a measure of element asymmetry.

This method is only valid in 2D.

Parameters

elemIndex	the index of the element in this mesh
axis	the axis perpendicular to which the distribution is found

Returns: the skewness of the mass distribution for the given element about the given axis

Definition at line 247 of file ImmersedBoundaryMesh.cpp.

◆ GetSpacingRatio()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

double ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::GetSpacingRatio ( ) const

Returns: the spacing ratio: Characteristic Node Spacing / Fluid Grid Spacing

Definition at line 612 of file ImmersedBoundaryMesh.cpp.

◆ GetSurfaceAreaOfElement()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

double ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::GetSurfaceAreaOfElement ( unsigned index )

virtual

Compute the surface area (or perimeter in 2D) of an element.

This needs to be overridden in daughter classes for non-Euclidean metrics.

Parameters

index the global index of a specified immersed boundary element

Returns: the surface area of the element

Definition at line 1037 of file ImmersedBoundaryMesh.cpp.

References AbstractElement< ELEMENT_DIM, SPACE_DIM >::GetNodeGlobalIndex(), AbstractElement< ELEMENT_DIM, SPACE_DIM >::GetNumNodes(), and NEVER_REACHED.

Referenced by ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::ImmersedBoundaryMesh().

◆ GetTortuosityOfMesh()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

double ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::GetTortuosityOfMesh ( )

Compute tortuosity, defined as the ratio of total length to straight-line length, of piecewise linear curve through centroids of successive elements.

Returns: the tortuosity of the mesh

Definition at line 203 of file ImmersedBoundaryMesh.cpp.

References NEVER_REACHED.

◆ GetVectorFromAtoB()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

c_vector< double, SPACE_DIM > ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::GetVectorFromAtoB	(	const c_vector< double, SPACE_DIM > &	rLocation1,
		const c_vector< double, SPACE_DIM > &	rLocation2
	)

virtual

Overridden GetVectorFromAtoB() method.

Evaluates the (surface) distance between two points in a periodic geometry.

Parameters

rLocation1	the x and y co-ordinates of point 1
rLocation2	the x and y co-ordinates of point 2

Returns: the vector from location1 to location2

Reimplemented from AbstractMesh< ELEMENT_DIM, SPACE_DIM >.

Definition at line 715 of file ImmersedBoundaryMesh.cpp.

Referenced by ImmersedBoundaryKinematicFeedbackForce< DIM >::AddImmersedBoundaryForceContribution(), ImmersedBoundaryLinearDifferentialAdhesionForce< DIM >::AddImmersedBoundaryForceContribution(), ImmersedBoundaryLinearInteractionForce< DIM >::AddImmersedBoundaryForceContribution(), ImmersedBoundaryMorseInteractionForce< DIM >::AddImmersedBoundaryForceContribution(), ImmersedBoundaryLinearMembraneForce< DIM >::CalculateForcesOnElement(), ImmersedBoundaryMorseMembraneForce< DIM >::CalculateForcesOnElement(), and ImmersedBoundaryMeshWriter< ELEMENT_DIM, SPACE_DIM >::MakeVtkMesh().

◆ GetVolumeOfElement()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

double ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::GetVolumeOfElement ( unsigned index )

virtual

Get the volume (or area in 2D, or length in 1D) of an element.

This needs to be overridden in daughter classes for non-Euclidean metrics.

Parameters

index the global index of a specified immersed boundary element

Returns: the volume of the element

Definition at line 998 of file ImmersedBoundaryMesh.cpp.

References AbstractElement< ELEMENT_DIM, SPACE_DIM >::GetNodeLocation(), AbstractElement< ELEMENT_DIM, SPACE_DIM >::GetNumNodes(), and NEVER_REACHED.

◆ GetVoronoiCellIdsIndexedByNodeIndex()

template<unsigned int ELEMENT_DIM, unsigned int SPACE_DIM>

const std::vector< unsigned int > & ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::GetVoronoiCellIdsIndexedByNodeIndex ( ) const

Returns: mVoronoiCellIdsIndexedByNodeIndex

Definition at line 2312 of file ImmersedBoundaryMesh.cpp.

◆ GetVoronoiSurfaceAreaOfElement() [1/2]

double ImmersedBoundaryMesh< 1, 1 >::GetVoronoiSurfaceAreaOfElement ( const unsigned elemIdx )

Template specialisation for impossible to reach code path

Parameters

elemIdx the element index

Returns: 0.0

Definition at line 1114 of file ImmersedBoundaryMesh.cpp.

◆ GetVoronoiSurfaceAreaOfElement() [2/2]

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

double ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::GetVoronoiSurfaceAreaOfElement ( unsigned elemIdx )

Compute the surface area (or perimeter in 2D) of the Voronoi cell of an element. The voronoi cell of an element is the union of the voronoi cells of all nodes in the element.

Parameters

elemIdx the global index of a specified immersed boundary element

Returns: the voronoi surface area of the element

Definition at line 1063 of file ImmersedBoundaryMesh.cpp.

References AbstractElement< ELEMENT_DIM, SPACE_DIM >::GetNodeGlobalIndex(), AbstractElement< ELEMENT_DIM, SPACE_DIM >::GetNumNodes(), and NEVER_REACHED.

◆ load()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

template<class Archive >

void ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::load	(	Archive &	archive,
		const unsigned int	version
	)

inlineprotected

Load a mesh by using ImmersedBoundaryMeshReader and the location in ArchiveLocationInfo.

Parameters

archive	the archive
version	the current version of this class

Definition at line 222 of file ImmersedBoundaryMesh.hpp.

References ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::ConstructFromMeshReader(), ArchiveLocationInfo::GetArchiveDirectory(), and ArchiveLocationInfo::GetMeshFilename().

◆ NodesInDifferentElementOrLamina()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

bool ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::NodesInDifferentElementOrLamina	(	Node< SPACE_DIM > *	pNodeA,
		Node< SPACE_DIM > *	pNodeB
	)

Determine whether two nodes belong to the same element, or the same lamina

Parameters

pNodeA	a pointer to a node
pNodeB	a pointer to a different node

Returns: whether the two nodes belong to the same element or lamina

Definition at line 1839 of file ImmersedBoundaryMesh.cpp.

References Node< SPACE_DIM >::ContainingElementsBegin(), and Node< SPACE_DIM >::GetRegion().

Referenced by ImmersedBoundaryLinearDifferentialAdhesionForce< DIM >::AddImmersedBoundaryForceContribution(), ImmersedBoundaryLinearInteractionForce< DIM >::AddImmersedBoundaryForceContribution(), and ImmersedBoundaryMorseInteractionForce< DIM >::AddImmersedBoundaryForceContribution().

◆ ReMesh()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

void ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::ReMesh ( bool randomOrder = false )

ReMesh method that evenly redistributes nodes around each element and lamina.

Parameters

randomOrder whether to remesh elements and laminas starting from a random location. Defaults to false.

Definition at line 1666 of file ImmersedBoundaryMesh.cpp.

◆ ReMeshElement()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

void ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::ReMeshElement	(	ImmersedBoundaryElement< ELEMENT_DIM, SPACE_DIM > *	pElement,
		bool	randomOrder
	)

ReMesh method that evenly redistributes nodes around a specific element.

Parameters

pElement	the element to remesh
randomOrder	whether to remesh elements and laminas starting from a random location

Definition at line 1688 of file ImmersedBoundaryMesh.cpp.

References AbstractElement< ELEMENT_DIM, SPACE_DIM >::GetNode(), AbstractElement< ELEMENT_DIM, SPACE_DIM >::GetNodeLocation(), AbstractElement< ELEMENT_DIM, SPACE_DIM >::GetNumNodes(), RandomNumberGenerator::Instance(), NEVER_REACHED, and RandomNumberGenerator::randMod().

◆ ReMeshLamina()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

void ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::ReMeshLamina	(	ImmersedBoundaryElement< ELEMENT_DIM - 1, SPACE_DIM > *	pLamina,
		bool	randomOrder
	)

ReMesh method that evenly redistributes nodes along a specific lamina.

Parameters

pLamina	the lamina to remesh
randomOrder	whether to remesh elements and laminas starting from a random location

Definition at line 1753 of file ImmersedBoundaryMesh.cpp.

References AbstractElement< ELEMENT_DIM, SPACE_DIM >::GetNode(), AbstractElement< ELEMENT_DIM, SPACE_DIM >::GetNodeLocation(), AbstractElement< ELEMENT_DIM, SPACE_DIM >::GetNumNodes(), RandomNumberGenerator::Instance(), NEVER_REACHED, and RandomNumberGenerator::randMod().

◆ rGet2dVelocityGrids()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

const multi_array< double, 3 > & ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::rGet2dVelocityGrids ( ) const

Returns: reference to non-modifiable 2d fluid velocity grids.

Definition at line 682 of file ImmersedBoundaryMesh.cpp.

◆ rGetBalancingFluidSources()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

std::vector< std::shared_ptr< FluidSource< SPACE_DIM > > > & ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::rGetBalancingFluidSources ( )

Returns: reference to vector of balancing fluid sources

Definition at line 676 of file ImmersedBoundaryMesh.cpp.

◆ rGetElementFluidSources()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

std::vector< std::shared_ptr< FluidSource< SPACE_DIM > > > & ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::rGetElementFluidSources ( )

Returns: reference to vector of element-associated fluid sources

Definition at line 664 of file ImmersedBoundaryMesh.cpp.

◆ rGetModifiable2dVelocityGrids()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

multi_array< double, 3 > & ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::rGetModifiable2dVelocityGrids ( )

Returns: reference to non-modifiable 3d fluid velocity grids.; reference to modifiable 2d fluid velocity grids.

Definition at line 688 of file ImmersedBoundaryMesh.cpp.

◆ rGetNodeLocationsVoronoiDiagram()

template<unsigned int ELEMENT_DIM, unsigned int SPACE_DIM>

const boost::polygon::voronoi_diagram< double > & ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::rGetNodeLocationsVoronoiDiagram ( bool update = true )

Get the voronoi diagram of node locations. This may be needed for population writers and others.

Parameters

update whether to update the diagram before returning the reference (default true)

Returns: mNodeLocationsVoronoiDiagram

Definition at line 2301 of file ImmersedBoundaryMesh.cpp.

Referenced by HeterotypicBoundaryLengthWriter< ELEMENT_DIM, SPACE_DIM >::Visit().

◆ rGetNodes()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

const std::vector< Node< SPACE_DIM > * > & ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::rGetNodes ( ) const

Returns: a reference to the const collection of nodes

Definition at line 618 of file ImmersedBoundaryMesh.cpp.

Referenced by ImmersedBoundaryKinematicFeedbackForce< DIM >::UpdatePreviousLocations().

◆ save()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

template<class Archive >

void ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::save	(	Archive &	archive,
		const unsigned int	version
	)		const

inlineprotected

Archive the ImmersedBoundaryMesh and its member variables. Note that this will write out an ImmersedBoundaryMeshWriter file to wherever ArchiveLocationInfo has specified.

Parameters

archive	the archive
version	the current version of this class

Definition at line 204 of file ImmersedBoundaryMesh.hpp.

References ArchiveLocationInfo::GetArchiveRelativePath(), ArchiveLocationInfo::GetMeshFilename(), and ImmersedBoundaryMeshWriter< ELEMENT_DIM, SPACE_DIM >::WriteFilesUsingMesh().

◆ ScaleDistanceDownFromVoronoi()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

double ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::ScaleDistanceDownFromVoronoi ( const double distance ) const

Helper method for voronoi functions. Scale a distance down from the voronoi coordinates.

Parameters

distance a distance in the voronoi diagram

Returns: a distance in the immersed boundary domain

Definition at line 2292 of file ImmersedBoundaryMesh.cpp.

◆ ScaleUpToVoronoiCoordinate()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

int ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::ScaleUpToVoronoiCoordinate ( double location ) const

Helper method for voronoi functions. Scale a location up to the integer grid needed by boost voronoi.

Parameters

location a location in [-mVoronoiHalo, 1.0 + mVoronoiHalo]

Returns: a corresponding integer location scaled to [INT_MIN, INT_MAX]

Definition at line 2276 of file ImmersedBoundaryMesh.cpp.

◆ SetCellRearrangementThreshold()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

void ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::SetCellRearrangementThreshold ( double cellRearrangementThreshold )

Parameters

cellRearrangementThreshold the new value of mCellRearrangementThreshold

Definition at line 703 of file ImmersedBoundaryMesh.cpp.

◆ SetCharacteristicNodeSpacing()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

void ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::SetCharacteristicNodeSpacing ( double nodeSpacing )

Parameters

nodeSpacing the new characteristic node spacing.

Definition at line 658 of file ImmersedBoundaryMesh.cpp.

◆ SetElementDivisionSpacing()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

void ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::SetElementDivisionSpacing ( double elementDivisionSpacing )

Parameters

elementDivisionSpacing the new value of mElementDivisionSpacing

Definition at line 1170 of file ImmersedBoundaryMesh.cpp.

Referenced by ImmersedBoundaryCellPopulation< DIM >::ImmersedBoundaryCellPopulation().

◆ SetNeighbourDist()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

void ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::SetNeighbourDist ( double neighbourDist )

Parameters

neighbourDist the new value of mNeighbourDist

Definition at line 786 of file ImmersedBoundaryMesh.cpp.

Referenced by ImmersedBoundaryCellPopulation< DIM >::ImmersedBoundaryCellPopulation().

◆ SetNode()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

void ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::SetNode	(	unsigned	nodeIndex,
		ChastePoint< SPACE_DIM >	point
	)

Move the node with a particular index to a new point in space.

Parameters

nodeIndex	the index of the node to be moved
point	the new target location of the node

Definition at line 736 of file ImmersedBoundaryMesh.cpp.

◆ SetNumGridPtsX()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

void ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::SetNumGridPtsX ( unsigned meshPointsX )

Parameters

meshPointsX the new number of fluid mesh points in the x direction.

Definition at line 636 of file ImmersedBoundaryMesh.cpp.

◆ SetNumGridPtsXAndY()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

void ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::SetNumGridPtsXAndY ( unsigned numGridPts )

Parameters

numGridPts the new number of fluid mesh points in both directions.

Definition at line 650 of file ImmersedBoundaryMesh.cpp.

◆ SetNumGridPtsY()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

void ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::SetNumGridPtsY ( unsigned meshPointsY )

Parameters

meshPointsY the new number of fluid mesh points in the x direction.

Definition at line 643 of file ImmersedBoundaryMesh.cpp.

◆ SolveBoundaryElementMapping()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

unsigned ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::SolveBoundaryElementMapping ( unsigned index ) const

protected

Solve boundary element mapping method. This overridden method is required as it is pure virtual in the base class.

Parameters

index the global index of the boundary element

Returns: local index

Definition at line 572 of file ImmersedBoundaryMesh.cpp.

◆ SolveElementMapping()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

unsigned ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::SolveElementMapping ( unsigned index ) const

protected

Solve element mapping method. This overridden method is required as it is pure virtual in the base class.

Parameters

index the global index of the element

Returns: local index

Definition at line 565 of file ImmersedBoundaryMesh.cpp.

◆ SolveNodeMapping()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

unsigned ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::SolveNodeMapping ( unsigned index ) const

protectedvirtual

Solve node mapping method. This overridden method is required as it is pure virtual in the base class.

Parameters

index the global index of the node

Returns: local index

Implements AbstractMesh< ELEMENT_DIM, SPACE_DIM >.

Definition at line 558 of file ImmersedBoundaryMesh.cpp.

◆ TagBoundaryElements()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

void ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::TagBoundaryElements ( )

protected

Determine whether each element is on the boundary or not, and call the element's SetIsBoundaryElement() method.

It is not possible to define in precise terms whether an element is on the boundary (as there is no commonality of nodes as in a vertex population). Instead we use information from the node locations voronoi diagram. Any nodes with infinite voronoi edges are certainly in boundary elements, as well as nodes in elements whose voronoi cells are "too big".

Definition at line 2005 of file ImmersedBoundaryMesh.cpp.

References EXCEPTION, AbstractElement< ELEMENT_DIM, SPACE_DIM >::GetIndex(), and ImmersedBoundaryElement< ELEMENT_DIM, SPACE_DIM >::SetIsBoundaryElement().

◆ UpdateNodeLocationsVoronoiDiagramIfOutOfDate()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

void ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::UpdateNodeLocationsVoronoiDiagramIfOutOfDate ( )

Update mNodeLocationsVoronoiDiagram if it is out of date, which is the case when mSummaryOfNodeLocations is out-of-date, i.e. nodes have moved location. This ensures the update is performed at most once per time step.

Definition at line 2122 of file ImmersedBoundaryMesh.cpp.

References NEVER_REACHED.

Friends And Related Symbol Documentation

◆ boost::serialization::access

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

friend class boost::serialization::access

friend

Needed for serialization.

Definition at line 194 of file ImmersedBoundaryMesh.hpp.

◆ TestImmersedBoundaryMesh

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

friend class TestImmersedBoundaryMesh

friend

Definition at line 71 of file ImmersedBoundaryMesh.hpp.

Member Data Documentation

◆ m2dVelocityGrids

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

multi_array<double, 3> ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::m2dVelocityGrids

protected

2D grid for fluid x velocity

Definition at line 110 of file ImmersedBoundaryMesh.hpp.

Referenced by ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::ImmersedBoundaryMesh().

◆ m3dVelocityGrids

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

multi_array<double, 4> ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::m3dVelocityGrids

protected

3D grid for fluid x velocity

Definition at line 113 of file ImmersedBoundaryMesh.hpp.

◆ mBalancingFluidSources

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

std::vector<std::shared_ptr<FluidSource<SPACE_DIM> > > ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::mBalancingFluidSources

protected

Vector of fluid sources used to balance those of the elements.

Definition at line 125 of file ImmersedBoundaryMesh.hpp.

Referenced by ImmersedBoundaryMesh< DIM, DIM >::SolveNodeMapping().

◆ mCellRearrangementThreshold

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

double ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::mCellRearrangementThreshold

protected

The distance above which a cell vertex moving will trigger a step size exception

Definition at line 96 of file ImmersedBoundaryMesh.hpp.

◆ mCharacteristicNodeSpacing

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

double ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::mCharacteristicNodeSpacing

protected

Characteristic node spacing

Definition at line 81 of file ImmersedBoundaryMesh.hpp.

Referenced by ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::ImmersedBoundaryMesh().

◆ mDeletedElementIndices

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

std::vector<unsigned> ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::mDeletedElementIndices

protected

Indices of elements that have been deleted. These indices can be reused when adding new elements.

Definition at line 107 of file ImmersedBoundaryMesh.hpp.

◆ mDeletedNodeIndices

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

std::vector<unsigned> ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::mDeletedNodeIndices

protected

Indices of nodes that have been deleted. These indices can be reused when adding new elements/nodes.

Definition at line 104 of file ImmersedBoundaryMesh.hpp.

◆ mElementDivisionSpacing

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

double ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::mElementDivisionSpacing

protected

The required spacing when an element divides

Definition at line 84 of file ImmersedBoundaryMesh.hpp.

◆ mElementFluidSources

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

std::vector<std::shared_ptr<FluidSource<SPACE_DIM> > > ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::mElementFluidSources

protected

Vector of fluid sources related to elements.

Definition at line 122 of file ImmersedBoundaryMesh.hpp.

Referenced by ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::ImmersedBoundaryMesh().

◆ mElements

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

std::vector<ImmersedBoundaryElement<ELEMENT_DIM, SPACE_DIM>*> ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::mElements

protected

Vector of pointers to ImmersedBoundaryElements.

Definition at line 116 of file ImmersedBoundaryMesh.hpp.

Referenced by ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::ImmersedBoundaryElementIterator::ImmersedBoundaryElementIterator(), and ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::ImmersedBoundaryMesh().

◆ mLaminas

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

std::vector<ImmersedBoundaryElement<ELEMENT_DIM - 1, SPACE_DIM>*> ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::mLaminas

protected

Vector of pointers to lamina ImmersedBoundaryElements.

Definition at line 119 of file ImmersedBoundaryMesh.hpp.

Referenced by ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::ImmersedBoundaryLaminaIterator::ImmersedBoundaryLaminaIterator(), ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::ImmersedBoundaryMesh(), ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::GetLaminaIteratorBegin(), and ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::GetLaminaIteratorEnd().

◆ mNeighbourDist

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

double ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::mNeighbourDist

protected

The distance at which two elements are neighbouring

Definition at line 87 of file ImmersedBoundaryMesh.hpp.

◆ mNodeLocationsVoronoiDiagram

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

boost::polygon::voronoi_diagram<double> ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::mNodeLocationsVoronoiDiagram

protected

A voronoi diagram of the node locations, used to determine the element neighbours

Definition at line 128 of file ImmersedBoundaryMesh.hpp.

◆ mNumGridPtsX

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

unsigned ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::mNumGridPtsX

protected

Number of grid points in x direction

Definition at line 75 of file ImmersedBoundaryMesh.hpp.

Referenced by ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::ImmersedBoundaryMesh().

◆ mNumGridPtsY

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

unsigned ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::mNumGridPtsY

protected

Number of grid points in y direction

Definition at line 78 of file ImmersedBoundaryMesh.hpp.

Referenced by ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::ImmersedBoundaryMesh().

◆ mSummaryOfNodeLocations

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

double ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::mSummaryOfNodeLocations

protected

A summary statistic used by UpdateNodeLocationsVoronoiDiagramIfOutOfDate() to determine if mNodeLocationsVoronoiDiagram is out of date

Definition at line 93 of file ImmersedBoundaryMesh.hpp.

◆ mVoronoiCellIdsIndexedByNodeIndex

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

std::vector<unsigned> ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::mVoronoiCellIdsIndexedByNodeIndex

protected

A vector keeping track voronoi cell IDs indexed by node index. This vector is the length of the largest node index, and is updated by UpdateNodeLocationsVoronoiDiagramIfOutOfDate().

The value mVoronoiCellIdsIndexedByNodeIndex[node_idx] gives the ID of the voronoi cell corresponding to the node with index node_idx.

Definition at line 137 of file ImmersedBoundaryMesh.hpp.

◆ mVoronoiHalo

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

constexpr double ImmersedBoundaryMesh< ELEMENT_DIM, SPACE_DIM >::mVoronoiHalo = 0.1

staticconstexprprotected

A halo distance around the unit square, used when calculating the node voronoi diagram

Definition at line 101 of file ImmersedBoundaryMesh.hpp.

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

mesh/src/immersed_boundary/ImmersedBoundaryMesh.hpp
mesh/src/immersed_boundary/ImmersedBoundaryMesh.cpp

Classes

Public Member Functions

Protected Member Functions

Protected Attributes

Static Protected Attributes

Friends

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ ImmersedBoundaryMesh() [1/2]

◆ ImmersedBoundaryMesh() [2/2]

◆ ~ImmersedBoundaryMesh()

Member Function Documentation

◆ AddNode()

◆ CalculateBoundingBoxOfElement()

◆ CalculateLengthOfVoronoiEdge()

◆ CalculateMomentsOfElement()

◆ Clear()

◆ ConformToGeometry()

◆ ConstructFromMeshReader()

◆ DivideElement()

◆ DivideElementAlongGivenAxis()

◆ DivideElementAlongShortAxis()

◆ GetAverageNodeSpacingOfElement()

◆ GetAverageNodeSpacingOfLamina()

◆ GetCellRearrangementThreshold()

◆ GetCentroidOfElement()

◆ GetCharacteristicNodeSpacing()

◆ GetElement()

◆ GetElementDivisionSpacing()

◆ GetElementIteratorBegin()

◆ GetElementIteratorEnd()

◆ GetElongationShapeFactorOfElement()

◆ GetLamina()

◆ GetLaminaIteratorBegin()

◆ GetLaminaIteratorEnd()

◆ GetMaxElementIndex()

◆ GetMaxLaminaIndex()

◆ GetMaxNodeIndex()

◆ GetNeighbourDist()

◆ GetNeighbouringElementIndices()

◆ GetNeighbouringNodeIndices()

◆ GetNumAllElements()

◆ GetNumElements()

◆ GetNumGridPtsX()

◆ GetNumGridPtsY()

◆ GetNumLaminas()

◆ GetNumNodes()

◆ GetPolygonDistribution()

◆ GetShortAxisOfElement()

◆ GetSkewnessOfElementMassDistributionAboutAxis()

◆ GetSpacingRatio()

◆ GetSurfaceAreaOfElement()

◆ GetTortuosityOfMesh()

◆ GetVectorFromAtoB()

◆ GetVolumeOfElement()

◆ GetVoronoiCellIdsIndexedByNodeIndex()

◆ GetVoronoiSurfaceAreaOfElement() [1/2]

◆ GetVoronoiSurfaceAreaOfElement() [2/2]

◆ load()

◆ NodesInDifferentElementOrLamina()

◆ ReMesh()

◆ ReMeshElement()

◆ ReMeshLamina()

◆ rGet2dVelocityGrids()

◆ rGetBalancingFluidSources()

◆ rGetElementFluidSources()

◆ rGetModifiable2dVelocityGrids()

◆ rGetNodeLocationsVoronoiDiagram()

◆ rGetNodes()

◆ save()

◆ ScaleDistanceDownFromVoronoi()

◆ ScaleUpToVoronoiCoordinate()

◆ SetCellRearrangementThreshold()

◆ SetCharacteristicNodeSpacing()

◆ SetElementDivisionSpacing()

◆ SetNeighbourDist()

◆ SetNode()

◆ SetNumGridPtsX()

◆ SetNumGridPtsXAndY()