Chaste  Release::3.4
VertexMesh< ELEMENT_DIM, SPACE_DIM > Class Template Reference

#include <VertexMesh.hpp>

+ Inheritance diagram for VertexMesh< ELEMENT_DIM, SPACE_DIM >:
+ Collaboration diagram for VertexMesh< ELEMENT_DIM, SPACE_DIM >:

Classes

class  VertexElementIterator
 

Public Member Functions

VertexElementIterator GetElementIteratorBegin (bool skipDeletedElements=true)
 
VertexElementIterator GetElementIteratorEnd ()
 
 VertexMesh (std::vector< Node< SPACE_DIM > * > nodes, std::vector< VertexElement< ELEMENT_DIM, SPACE_DIM > * > vertexElements)
 
 VertexMesh (std::vector< Node< SPACE_DIM > * > nodes, std::vector< VertexElement< ELEMENT_DIM-1, SPACE_DIM > * > faces, std::vector< VertexElement< ELEMENT_DIM, SPACE_DIM > * > vertexElements)
 
 VertexMesh (TetrahedralMesh< 2, 2 > &rMesh, bool isPeriodic=false)
 
 VertexMesh (TetrahedralMesh< 3, 3 > &rMesh)
 
 VertexMesh ()
 
virtual ~VertexMesh ()
 
virtual unsigned GetNumNodes () const
 
virtual unsigned GetNumElements () const
 
unsigned GetNumAllElements () const
 
virtual unsigned GetNumFaces () const
 
VertexElement< ELEMENT_DIM,
SPACE_DIM > * 
GetElement (unsigned index) const
 
VertexElement< ELEMENT_DIM-1,
SPACE_DIM > * 
GetFace (unsigned index) const
 
virtual c_vector< double,
SPACE_DIM > 
GetCentroidOfElement (unsigned index)
 
void ConstructFromMeshReader (AbstractMeshReader< ELEMENT_DIM, SPACE_DIM > &rMeshReader)
 
virtual void Clear ()
 
unsigned GetDelaunayNodeIndexCorrespondingToVoronoiElementIndex (unsigned elementIndex)
 
unsigned GetVoronoiElementIndexCorrespondingToDelaunayNodeIndex (unsigned nodeIndex)
 
unsigned GetRosetteRankOfElement (unsigned index)
 
virtual c_vector< double,
SPACE_DIM > 
GetVectorFromAtoB (const c_vector< double, SPACE_DIM > &rLocationA, const c_vector< double, SPACE_DIM > &rLocationB)
 
virtual double GetVolumeOfElement (unsigned index)
 
virtual double GetSurfaceAreaOfElement (unsigned index)
 
c_vector< double, SPACE_DIM > GetAreaGradientOfElementAtNode (VertexElement< ELEMENT_DIM, SPACE_DIM > *pElement, unsigned localIndex)
 
c_vector< double, SPACE_DIM > GetPreviousEdgeGradientOfElementAtNode (VertexElement< ELEMENT_DIM, SPACE_DIM > *pElement, unsigned localIndex)
 
c_vector< double, SPACE_DIM > GetNextEdgeGradientOfElementAtNode (VertexElement< ELEMENT_DIM, SPACE_DIM > *pElement, unsigned localIndex)
 
c_vector< double, SPACE_DIM > GetPerimeterGradientOfElementAtNode (VertexElement< ELEMENT_DIM, SPACE_DIM > *pElement, unsigned localIndex)
 
virtual c_vector< double, 3 > CalculateMomentsOfElement (unsigned index)
 
double GetEdgeLength (unsigned elementIndex1, unsigned elementIndex2)
 
double GetElongationShapeFactorOfElement (unsigned elementIndex)
 
double CalculateUnitNormalToFaceWithArea (VertexElement< ELEMENT_DIM-1, SPACE_DIM > *pFace, c_vector< double, SPACE_DIM > &rNormal)
 
virtual double CalculateAreaOfFace (VertexElement< ELEMENT_DIM-1, SPACE_DIM > *pFace)
 
c_vector< double, SPACE_DIM > GetShortAxisOfElement (unsigned index)
 
std::set< unsignedGetNeighbouringNodeIndices (unsigned nodeIndex)
 
std::set< unsignedGetNeighbouringNodeNotAlsoInElement (unsigned nodeIndex, unsigned elemIndex)
 
std::set< unsignedGetNeighbouringElementIndices (unsigned elementIndex)
 
template<>
 VertexMesh (TetrahedralMesh< 2, 2 > &rMesh, bool isPeriodic)
 
template<>
 VertexMesh (TetrahedralMesh< 3, 3 > &rMesh)
 
- 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 DistributedVectorFactoryGetDistributedVectorFactory ()
 
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 GenerateVerticesFromElementCircumcentres (TetrahedralMesh< ELEMENT_DIM, SPACE_DIM > &rMesh)
 
bool ElementIncludesPoint (const c_vector< double, SPACE_DIM > &rTestPoint, unsigned elementIndex)
 
unsigned GetLocalIndexForElementEdgeClosestToPoint (const c_vector< double, SPACE_DIM > &rTestPoint, unsigned elementIndex)
 
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

std::vector< VertexElement
< ELEMENT_DIM, SPACE_DIM > * > 
mElements
 
std::vector< VertexElement
< ELEMENT_DIM-1, SPACE_DIM > * > 
mFaces
 
std::map< unsigned, unsignedmVoronoiElementIndexMap
 
TetrahedralMesh< ELEMENT_DIM,
SPACE_DIM > * 
mpDelaunayMesh
 
- Protected Attributes inherited from AbstractMesh< ELEMENT_DIM, SPACE_DIM >
std::vector< Node< SPACE_DIM > * > mNodes
 
std::vector< Node< SPACE_DIM > * > mBoundaryNodes
 
DistributedVectorFactorympDistributedVectorFactory
 
std::vector< unsignedmNodePermutation
 
std::string mMeshFileBaseName
 
bool mMeshChangesDuringSimulation
 

Friends

class TestVertexMesh
 
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 VertexMesh< ELEMENT_DIM, SPACE_DIM >

A vertex-based mesh class, in which elements may contain different numbers of nodes. This is facilitated by the VertexElement class.

This class has two applications in the cell_based code.

First, VertexMesh is used as a member of the MeshBasedCellPopulation class to represent a Voronoi tessellation, the dual to a Delaunay mesh, which allows the shapes of cells to be visualised in simulations of a class of off-lattice cell centre-based models.

Second, VertexMesh serves as a parent class for MutableVertexMesh, which is used as a member of the VertexBasedCellPopulation class to represent the junctional network of cells that forms the basis of simulations of off-lattice vertex-based models.

Definition at line 74 of file VertexMesh.hpp.

Constructor & Destructor Documentation

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
VertexMesh< ELEMENT_DIM, SPACE_DIM >::VertexMesh ( std::vector< Node< SPACE_DIM > * >  nodes,
std::vector< VertexElement< ELEMENT_DIM, SPACE_DIM > * >  vertexElements 
)
template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
VertexMesh< ELEMENT_DIM, SPACE_DIM >::VertexMesh ( std::vector< Node< SPACE_DIM > * >  nodes,
std::vector< VertexElement< ELEMENT_DIM-1, SPACE_DIM > * >  faces,
std::vector< VertexElement< ELEMENT_DIM, SPACE_DIM > * >  vertexElements 
)
template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
VertexMesh< ELEMENT_DIM, SPACE_DIM >::VertexMesh ( TetrahedralMesh< 2, 2 > &  rMesh,
bool  isPeriodic = false 
)

Alternative 2D 'Voronoi' constructor. Creates a Voronoi tessellation of a given tetrahedral mesh, which must be Delaunay (see TetrahedralMesh::CheckIsVoronoi).

Todo:
Merge with 3D Voronoi constructor? (see #1075)
Parameters
rMesha tetrahedral mesh
isPeriodica boolean that indicates whether the mesh is periodic or not
template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
VertexMesh< ELEMENT_DIM, SPACE_DIM >::VertexMesh ( TetrahedralMesh< 3, 3 > &  rMesh)

Alternative 3D 'Voronoi' constructor. Creates a Voronoi tessellation of a given tetrahedral mesh, which must be Delaunay (see TetrahedralMesh::CheckIsVoronoi).

Todo:
Merge with 2D Voronoi constructor? (see #1075)
Parameters
rMesha tetrahedral mesh
template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
VertexMesh< ELEMENT_DIM, SPACE_DIM >::VertexMesh ( )

Default constructor for use by serializer.

Definition at line 465 of file VertexMesh.cpp.

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
VertexMesh< ELEMENT_DIM, SPACE_DIM >::~VertexMesh ( )
virtual

Destructor.

Definition at line 474 of file VertexMesh.cpp.

template<>
VertexMesh< 2, 2 >::VertexMesh ( TetrahedralMesh< 2, 2 > &  rMesh,
bool  isPeriodic 
)

This VertexMesh constructor is currently only defined for 2D meshes.

Parameters
rMesha tetrahedral mesh
isPeriodica boolean that indicates whether the mesh is periodic or not

Create a std::vector of pairs, where each pair comprises the angle between the centre of the Voronoi element and each node with that node's global index in the Voronoi mesh.

Definition at line 154 of file VertexMesh.cpp.

References MutableElement< ELEMENT_DIM, SPACE_DIM >::AddNode(), VertexMesh< ELEMENT_DIM, SPACE_DIM >::Clear(), VertexMesh< ELEMENT_DIM, SPACE_DIM >::GenerateVerticesFromElementCircumcentres(), VertexMesh< ELEMENT_DIM, SPACE_DIM >::mElements, AbstractMesh< ELEMENT_DIM, SPACE_DIM >::mMeshChangesDuringSimulation, AbstractMesh< ELEMENT_DIM, SPACE_DIM >::mNodes, and VertexMesh< ELEMENT_DIM, SPACE_DIM >::mpDelaunayMesh.

Member Function Documentation

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
double VertexMesh< ELEMENT_DIM, SPACE_DIM >::CalculateAreaOfFace ( VertexElement< ELEMENT_DIM-1, SPACE_DIM > *  pFace)
virtual

Get the area of a given face in 3D. Uses CalculateUnitNormalToFaceWithArea

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

Parameters
pFacea face in the mesh
Returns
the area

Definition at line 1554 of file VertexMesh.cpp.

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
c_vector< double, 3 > VertexMesh< 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
indexthe global index of a specified vertex element
Returns
(Ixx,Iyy,Ixy).

Definition at line 1336 of file VertexMesh.cpp.

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

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
double VertexMesh< ELEMENT_DIM, SPACE_DIM >::CalculateUnitNormalToFaceWithArea ( VertexElement< ELEMENT_DIM-1, SPACE_DIM > *  pFace,
c_vector< double, SPACE_DIM > &  rNormal 
)

Compute the unit normal vector to a given face in 3D. This is achieved by calculating scaled normal, which is the effective sum of signed areas of triangle forming the face. Note: this may return the outward or inward normal, depending on the face chirality.

Parameters
pFacea face in the mesh
rNormalvector in which to return the unit normal
Returns
the area

Definition at line 1524 of file VertexMesh.cpp.

References AbstractElement< ELEMENT_DIM, SPACE_DIM >::GetNode(), AbstractElement< ELEMENT_DIM, SPACE_DIM >::GetNumNodes(), and VectorProduct().

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
void VertexMesh< ELEMENT_DIM, SPACE_DIM >::Clear ( )
virtual
template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
void VertexMesh< ELEMENT_DIM, SPACE_DIM >::ConstructFromMeshReader ( AbstractMeshReader< ELEMENT_DIM, SPACE_DIM > &  rMeshReader)

Construct the mesh using a MeshReader.

Parameters
rMeshReaderthe mesh reader

Referenced by VertexMesh< DIM, DIM >::load().

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
bool VertexMesh< ELEMENT_DIM, SPACE_DIM >::ElementIncludesPoint ( const c_vector< double, SPACE_DIM > &  rTestPoint,
unsigned  elementIndex 
)
protected

Test whether a given point lies inside a given element.

We use a winding number test, which counts the number of times the polygon associated with the element winds around the given point. The point is outside only when this "winding number" vanishes; otherwise, the point is inside.

One must decide whether a point on the polygon's boundary is inside or outside: we adopt the standard convention that a point on a left or bottom edge is inside, and a point on a right or top edge is outside. This way, if two distinct polygons share a common boundary segment, then a point on that segment will be in one polygon or the other, but not both at the same time.

Parameters
rTestPointthe point to test
elementIndexglobal index of the element in the mesh
Returns
if the point is included in the element.
Todo:
(see #2387 and #2401) Investigate why the commented implementation causes Test2DVertexBasedCryptRepresentativeSimulation to fail

Definition at line 1151 of file VertexMesh.cpp.

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

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
void VertexMesh< ELEMENT_DIM, SPACE_DIM >::GenerateVerticesFromElementCircumcentres ( TetrahedralMesh< ELEMENT_DIM, SPACE_DIM > &  rMesh)
protected

Populate mNodes with locations corresponding to the element circumcentres of a given TetrahedralMesh. Used by 'Voronoi' constructors.

Parameters
rMesha tetrahedral mesh

Definition at line 386 of file VertexMesh.cpp.

References AbstractTetrahedralMesh< ELEMENT_DIM, SPACE_DIM >::GetElement(), TetrahedralMesh< ELEMENT_DIM, SPACE_DIM >::GetInverseJacobianForElement(), and AbstractTetrahedralMesh< ELEMENT_DIM, SPACE_DIM >::GetNumElements().

Referenced by Cylindrical2dVertexMesh::Cylindrical2dVertexMesh(), and VertexMesh< ELEMENT_DIM, SPACE_DIM >::VertexMesh().

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
c_vector< double, SPACE_DIM > VertexMesh< ELEMENT_DIM, SPACE_DIM >::GetAreaGradientOfElementAtNode ( VertexElement< ELEMENT_DIM, SPACE_DIM > *  pElement,
unsigned  localIndex 
)

Compute the area gradient of a 2D element at one of its nodes.

N.B. This calls GetVectorFromAtoB(), which can be overridden in daughter classes for non-Euclidean metrics.

Parameters
pElementpointer to a specified vertex element
localIndexlocal index of a node in this element
Returns
the gradient of the area of the element, evaluated at this node.

Definition at line 1442 of file VertexMesh.cpp.

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

Referenced by FarhadifarForce< DIM >::AddForceContribution(), and NagaiHondaForce< DIM >::AddForceContribution().

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
c_vector< double, SPACE_DIM > VertexMesh< 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
indexthe global index of a specified vertex element
Returns
(centroid_x, centroid_y).
Todo:
compute centroid rather than centre of mass (see #1422)

Definition at line 655 of file VertexMesh.cpp.

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

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
unsigned VertexMesh< ELEMENT_DIM, SPACE_DIM >::GetDelaunayNodeIndexCorrespondingToVoronoiElementIndex ( unsigned  elementIndex)
Returns
the global index of the corresponding element in the Delaunay mesh, given the global index of an element in the Voronoi mesh.
Parameters
elementIndexglobal index of an element in the Voronoi mesh

Definition at line 506 of file VertexMesh.cpp.

References UNSIGNED_UNSET.

Referenced by VoronoiDataWriter< ELEMENT_DIM, SPACE_DIM >::Visit(), and CellPopulationAreaWriter< ELEMENT_DIM, SPACE_DIM >::Visit().

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
double VertexMesh< ELEMENT_DIM, SPACE_DIM >::GetEdgeLength ( unsigned  elementIndex1,
unsigned  elementIndex2 
)
Returns
the length of the edge separating two given elements in 2D.
Parameters
elementIndex1index of an element in the mesh
elementIndex2index of an element in the mesh

Definition at line 412 of file VertexMesh.cpp.

References EXCEPTION.

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

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
VertexElement< ELEMENT_DIM, SPACE_DIM > * VertexMesh< ELEMENT_DIM, SPACE_DIM >::GetElement ( unsigned  index) const
Parameters
indexthe global index of a specified vertex element.
Returns
a pointer to the vertex element

Definition at line 639 of file VertexMesh.cpp.

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

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
double VertexMesh< 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
elementIndexindex of an element in the mesh
Returns
the elongation shape factor of the element.

Definition at line 447 of file VertexMesh.cpp.

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
VertexElement< ELEMENT_DIM-1, SPACE_DIM > * VertexMesh< ELEMENT_DIM, SPACE_DIM >::GetFace ( unsigned  index) const
Parameters
indexthe global index of a specified face.
Returns
a pointer to the face

Definition at line 647 of file VertexMesh.cpp.

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
unsigned VertexMesh< ELEMENT_DIM, SPACE_DIM >::GetLocalIndexForElementEdgeClosestToPoint ( const c_vector< double, SPACE_DIM > &  rTestPoint,
unsigned  elementIndex 
)
protected

Get the local index of a given element which is the start vertex of the edge of the element that the overlapping point rTestPoint is closest to.

Parameters
rTestPointthe point to test
elementIndexglobal index of the element in the mesh
Returns
the local index

Definition at line 1271 of file VertexMesh.cpp.

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

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
std::set< unsigned > VertexMesh< ELEMENT_DIM, SPACE_DIM >::GetNeighbouringElementIndices ( unsigned  elementIndex)

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

Parameters
elementIndexglobal index of the element
Returns
its neighbouring element indices

Definition at line 799 of file VertexMesh.cpp.

References AbstractElement< ELEMENT_DIM, SPACE_DIM >::GetNode(), AbstractElement< ELEMENT_DIM, SPACE_DIM >::GetNumNodes(), and Node< SPACE_DIM >::rGetContainingElementIndices().

Referenced by IsolatedLabelledCellKiller< DIM >::CheckAndLabelCellsForApoptosisOrDeath(), and HeterotypicBoundaryLengthWriter< ELEMENT_DIM, SPACE_DIM >::Visit().

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

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

Parameters
nodeIndexglobal index of the node
Returns
its neighbouring node indices

Definition at line 727 of file VertexMesh.cpp.

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
std::set< unsigned > VertexMesh< ELEMENT_DIM, SPACE_DIM >::GetNeighbouringNodeNotAlsoInElement ( unsigned  nodeIndex,
unsigned  elemIndex 
)

Given a node and one of its containing elements, find a set containing the indices of those neighbouring node(s) that are NOT also in the element.

Note that we allow for more than one such index, since there is no reason a priori to assume that each node is contained by exactly three elements.

Parameters
nodeIndexglobal index of the node
elemIndexglobal index of the element
Returns
its neighbouring nodes that are not in the element

Definition at line 758 of file VertexMesh.cpp.

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

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
c_vector< double, SPACE_DIM > VertexMesh< ELEMENT_DIM, SPACE_DIM >::GetNextEdgeGradientOfElementAtNode ( VertexElement< ELEMENT_DIM, SPACE_DIM > *  pElement,
unsigned  localIndex 
)

Compute the gradient of the edge of a 2D element starting at its nodes.

N.B. This calls GetVectorFromAtoB(), which can be overridden in daughter classes for non-Euclidean metrics.

Parameters
pElementpointer to a specified vertex element
localIndexlocal index of a node in this element
Returns
the gradient of the edge of the element that starts at this node.

Definition at line 1488 of file VertexMesh.cpp.

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

Referenced by FarhadifarForce< DIM >::AddForceContribution(), and NagaiHondaForce< DIM >::AddForceContribution().

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
unsigned VertexMesh< ELEMENT_DIM, SPACE_DIM >::GetNumAllElements ( ) const
Returns
the number of VertexElements in the mesh, including those marked as deleted.

Definition at line 625 of file VertexMesh.cpp.

Referenced by T2SwapCellKiller< DIM >::CheckAndLabelCellsForApoptosisOrDeath().

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
unsigned VertexMesh< ELEMENT_DIM, SPACE_DIM >::GetNumElements ( ) const
virtual
Returns
the number of VertexElements in the mesh.

Reimplemented in MutableVertexMesh< ELEMENT_DIM, SPACE_DIM >, MutableVertexMesh< 2, 2 >, and MutableVertexMesh< DIM, DIM >.

Definition at line 618 of file VertexMesh.cpp.

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
unsigned VertexMesh< ELEMENT_DIM, SPACE_DIM >::GetNumFaces ( ) const
virtual
Returns
the number of Faces in the mesh.

Definition at line 632 of file VertexMesh.cpp.

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
unsigned VertexMesh< ELEMENT_DIM, SPACE_DIM >::GetNumNodes ( ) const
virtual
template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
c_vector< double, SPACE_DIM > VertexMesh< ELEMENT_DIM, SPACE_DIM >::GetPerimeterGradientOfElementAtNode ( VertexElement< ELEMENT_DIM, SPACE_DIM > *  pElement,
unsigned  localIndex 
)

Compute the gradient of the perimeter of a 2D element at its nodes. This returns the sum of GetPreviousEdgeGradientAtNode() and GetNextEdgeGradientAtNode().

Parameters
pElementpointer to a specified vertex element
localIndexlocal index of a node in this element
Returns
the gradient of the perimeter of the element, evaluated at this node.

Definition at line 1507 of file VertexMesh.cpp.

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
c_vector< double, SPACE_DIM > VertexMesh< ELEMENT_DIM, SPACE_DIM >::GetPreviousEdgeGradientOfElementAtNode ( VertexElement< ELEMENT_DIM, SPACE_DIM > *  pElement,
unsigned  localIndex 
)

Compute the gradient of the edge of a 2D element ending at its nodes.

N.B. This calls GetVectorFromAtoB(), which can be overridden in daughter classes for non-Euclidean metrics.

Parameters
pElementpointer to a specified vertex element
localIndexlocal index of a node in this element
Returns
the gradient of the edge of the element that ends at this node.

Definition at line 1466 of file VertexMesh.cpp.

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

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
unsigned VertexMesh< ELEMENT_DIM, SPACE_DIM >::GetRosetteRankOfElement ( unsigned  index)

Get the "rosette rank" of an element.

This is defined as the maximum number of elements shared by any node in the specified element.

Parameters
indexthe global index of a specified vertex element
Returns
the rosette rank of the element

Definition at line 560 of file VertexMesh.cpp.

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

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
c_vector< double, SPACE_DIM > VertexMesh< 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
indexthe global index of a specified vertex element
Returns
a unit vector giving the direction of the short axis
Todo:
remove magic number? (see #1884 and #2401)

Definition at line 1391 of file VertexMesh.cpp.

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

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

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
double VertexMesh< 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
indexthe global index of a specified vertex element
Returns
the surfacearea of the element

Definition at line 1114 of file VertexMesh.cpp.

References VertexElement< ELEMENT_DIM, SPACE_DIM >::GetFace(), AbstractElement< ELEMENT_DIM, SPACE_DIM >::GetNodeGlobalIndex(), VertexElement< ELEMENT_DIM, SPACE_DIM >::GetNumFaces(), and AbstractElement< ELEMENT_DIM, SPACE_DIM >::GetNumNodes().

Referenced by WelikyOsterForce< DIM >::AddForceContribution(), FarhadifarForce< DIM >::AddForceContribution(), NagaiHondaForce< DIM >::AddForceContribution(), and VoronoiDataWriter< ELEMENT_DIM, SPACE_DIM >::Visit().

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
c_vector< double, SPACE_DIM > VertexMesh< ELEMENT_DIM, SPACE_DIM >::GetVectorFromAtoB ( const c_vector< double, SPACE_DIM > &  rLocationA,
const c_vector< double, SPACE_DIM > &  rLocationB 
)
virtual

Overridden GetVectorFromAtoB() method. Returns a vector between two points in space.

If the mesh is being used to represent a Voronoi tessellation, and mpDelaunayMesh is not NULL, then use that to compute GetVectorFromAtoB.

Parameters
rLocationAa c_vector of coordinates
rLocationBa c_vector of coordinates
Returns
c_vector from location A to location B.

Reimplemented from AbstractMesh< ELEMENT_DIM, SPACE_DIM >.

Definition at line 1037 of file VertexMesh.cpp.

References AbstractMesh< ELEMENT_DIM, SPACE_DIM >::GetVectorFromAtoB().

Referenced by WelikyOsterForce< DIM >::AddForceContribution().

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
double VertexMesh< ELEMENT_DIM, SPACE_DIM >::GetVolumeOfElement ( unsigned  index)
virtual
template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
unsigned VertexMesh< ELEMENT_DIM, SPACE_DIM >::GetVoronoiElementIndexCorrespondingToDelaunayNodeIndex ( unsigned  nodeIndex)
Returns
the global index of the corresponding element in the Voronoi mesh given the global index of a node in the Delaunay mesh, or throws an exception if this does not exist.
Parameters
nodeIndexglobal index of a node in the Delaunay mesh

Definition at line 533 of file VertexMesh.cpp.

References EXCEPTION, and UNSIGNED_UNSET.

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
template<class Archive >
void VertexMesh< ELEMENT_DIM, SPACE_DIM >::load ( Archive &  archive,
const unsigned int  version 
)
inlineprotected

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

Parameters
archivethe archive
versionthe current version of this class

Definition at line 202 of file VertexMesh.hpp.

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
template<class Archive >
void VertexMesh< ELEMENT_DIM, SPACE_DIM >::save ( Archive &  archive,
const unsigned int  version 
) const
inlineprotected

Archive the VertexMesh and its member variables. Note that this will write out a VertexMeshWriter file to wherever ArchiveLocationInfo has specified.

Parameters
archivethe archive
versionthe current version of this class

Definition at line 184 of file VertexMesh.hpp.

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
unsigned VertexMesh< 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
indexthe global index of the boundary element
Returns
local index
Todo:
sort out boundary elements in a vertex mesh (#1263)

Definition at line 497 of file VertexMesh.cpp.

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
unsigned VertexMesh< 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
indexthe global index of the element
Returns
local index

Definition at line 489 of file VertexMesh.cpp.

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
unsigned VertexMesh< 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
indexthe global index of the node
Returns
local index

Implements AbstractMesh< ELEMENT_DIM, SPACE_DIM >.

Definition at line 481 of file VertexMesh.cpp.

Friends And Related Function Documentation

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
friend class boost::serialization::access
friend

Needed for serialization.

Definition at line 174 of file VertexMesh.hpp.

Member Data Documentation

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
std::vector<VertexElement<ELEMENT_DIM, SPACE_DIM>*> VertexMesh< ELEMENT_DIM, SPACE_DIM >::mElements
protected
template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
std::vector<VertexElement<ELEMENT_DIM-1, SPACE_DIM>*> VertexMesh< ELEMENT_DIM, SPACE_DIM >::mFaces
protected

Vector of pointers to VertexElements.

Definition at line 84 of file VertexMesh.hpp.

Referenced by MutableVertexMesh< ELEMENT_DIM, SPACE_DIM >::MutableVertexMesh(), and VertexMesh< ELEMENT_DIM, SPACE_DIM >::VertexMesh().

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
TetrahedralMesh<ELEMENT_DIM, SPACE_DIM>* VertexMesh< ELEMENT_DIM, SPACE_DIM >::mpDelaunayMesh
protected

Delaunay tetrahedral mesh that is used only when the vertex mesh is used to represent a Voronoi tessellation. A pointer to the Delaunay mesh is required in this case because the Delaunay mesh may be a subclass of TetrahedralMesh, which overrides methods such as GetVectorFromAtoB().

Definition at line 102 of file VertexMesh.hpp.

Referenced by Cylindrical2dVertexMesh::Cylindrical2dVertexMesh(), and VertexMesh< ELEMENT_DIM, SPACE_DIM >::VertexMesh().

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
std::map<unsigned, unsigned> VertexMesh< ELEMENT_DIM, SPACE_DIM >::mVoronoiElementIndexMap
protected

Map that is used only when the vertex mesh is used to represent a Voronoi tessellation, the dual to a Delaunay tetrahedral mesh. The map consists of pairs (index1, index2), where index1 denotes the global index of a node in the Delaunay mesh and index2 denotes the global index of the corresponding element in the Voronoi mesh.

Definition at line 93 of file VertexMesh.hpp.

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


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