A 3-dimensional six-faced element. More...

#include <Hexahedron.h>

Inheritance diagram for Nektar::NekMeshUtils::Hexahedron:

Collaboration diagram for Nektar::NekMeshUtils::Hexahedron:

Public Member Functions
NEKMESHUTILS_EXPORT	Hexahedron (ElmtConfig pConf, std::vector< NodeSharedPtr > pNodeList, std::vector< int > pTagList)
	Create a hexahedral element. More...

NEKMESHUTILS_EXPORT	Hexahedron (const Hexahedron &pSrc)

virtual NEKMESHUTILS_EXPORT	~Hexahedron ()

virtual NEKMESHUTILS_EXPORT SpatialDomains::GeometrySharedPtr	GetGeom (int coordDim)
	Generate a Nektar++ geometry object for this element. More...

Public Member Functions inherited from Nektar::NekMeshUtils::Element
NEKMESHUTILS_EXPORT	Element (ElmtConfig pConf, unsigned int pNumNodes, unsigned int pGotNodes)

NEKMESHUTILS_EXPORT unsigned int	GetId () const
	Returns the ID of the element (or associated edge or face for boundary elements). More...

NEKMESHUTILS_EXPORT unsigned int	GetDim () const
	Returns the expansion dimension of the element. More...

NEKMESHUTILS_EXPORT ElmtConfig	GetConf () const
	Returns the configuration of the element. More...

NEKMESHUTILS_EXPORT std::string	GetTag () const
	Returns the tag which defines the element shape. More...

NEKMESHUTILS_EXPORT NodeSharedPtr	GetVertex (unsigned int i) const
	Access a vertex node. More...

NEKMESHUTILS_EXPORT EdgeSharedPtr	GetEdge (unsigned int i) const
	Access an edge. More...

NEKMESHUTILS_EXPORT FaceSharedPtr	GetFace (unsigned int i) const
	Access a face. More...

NEKMESHUTILS_EXPORT std::vector< NodeSharedPtr >	GetVertexList () const
	Access the list of vertex nodes. More...

NEKMESHUTILS_EXPORT std::vector< EdgeSharedPtr >	GetEdgeList () const
	Access the list of edges. More...

NEKMESHUTILS_EXPORT std::vector< FaceSharedPtr >	GetFaceList () const
	Access the list of faces. More...

NEKMESHUTILS_EXPORT std::vector< NodeSharedPtr >	GetVolumeNodes () const
	Access the list of volume nodes. More...

NEKMESHUTILS_EXPORT void	SetVolumeNodes (std::vector< NodeSharedPtr > &nodes)

NEKMESHUTILS_EXPORT LibUtilities::PointsType	GetCurveType () const

NEKMESHUTILS_EXPORT void	SetCurveType (LibUtilities::PointsType cT)

NEKMESHUTILS_EXPORT unsigned int	GetNodeCount () const
	Returns the total number of nodes (vertices, edge nodes and face nodes and volume nodes). More...

NEKMESHUTILS_EXPORT std::vector< int >	GetTagList () const
	Access the list of tags associated with this element. More...

NEKMESHUTILS_EXPORT unsigned int	GetVertexCount () const
	Returns the number of vertices. More...

NEKMESHUTILS_EXPORT unsigned int	GetEdgeCount () const
	Returns the number of edges. More...

NEKMESHUTILS_EXPORT unsigned int	GetFaceCount () const
	Returns the number of faces. More...

NEKMESHUTILS_EXPORT void	SetId (unsigned int p)
	Change the ID of the element. More...

NEKMESHUTILS_EXPORT void	SetVertex (unsigned int p, NodeSharedPtr pNew)
	Replace a vertex with another vertex object. More...

NEKMESHUTILS_EXPORT void	SetEdge (unsigned int p, EdgeSharedPtr pNew)
	Replace an edge with another edge object. More...

NEKMESHUTILS_EXPORT void	SetFace (unsigned int p, FaceSharedPtr pNew)
	Replace a face with another face object. More...

NEKMESHUTILS_EXPORT void	SetEdgeLink (EdgeSharedPtr pLink)
	Set a correspondence between this element and an edge (2D boundary element). More...

NEKMESHUTILS_EXPORT EdgeSharedPtr	GetEdgeLink ()
	Get correspondence between this element and an edge. More...

NEKMESHUTILS_EXPORT void	SetFaceLink (FaceSharedPtr pLink)
	Set a correspondence between this element and a face (3D boundary element). More...

NEKMESHUTILS_EXPORT FaceSharedPtr	GetFaceLink ()
	Get correspondence between this element and a face. More...

NEKMESHUTILS_EXPORT void	SetBoundaryLink (int i, int j)
	Set a correspondence between edge or face i and its representative boundary element m->element[expDim-1][j]. More...

NEKMESHUTILS_EXPORT int	GetBoundaryLink (int i)
	Get the location of the boundary face/edge i for this element. More...

NEKMESHUTILS_EXPORT void	SetTagList (const std::vector< int > &tags)
	Set the list of tags associated with this element. More...

virtual NEKMESHUTILS_EXPORT std::string	GetXmlString () const
	Generate a list of vertices (1D), edges (2D), or faces (3D). More...

NEKMESHUTILS_EXPORT void	GetCurvedNodes (std::vector< NodeSharedPtr > &nodeList) const

NEKMESHUTILS_EXPORT std::string	GetXmlCurveString () const
	Generates a string listing the coordinates of all nodes associated with this element. More...

NEKMESHUTILS_EXPORT int	GetMaxOrder ()
	Obtain the order of an element by looking at edges. More...

virtual NEKMESHUTILS_EXPORT void	Complete (int order)
	Complete this object. More...

NEKMESHUTILS_EXPORT void	Print ()

Static Public Member Functions
static NEKMESHUTILS_EXPORT ElementSharedPtr	create (ElmtConfig pConf, std::vector< NodeSharedPtr > pNodeList, std::vector< int > pTagList)
	Creates an instance of this class. More...

static NEKMESHUTILS_EXPORT unsigned int	GetNumNodes (ElmtConfig pConf)
	Return the number of nodes defining a hexahedron. More...

Static Public Attributes
static LibUtilities::ShapeType	m_type
	Element type. More...

Additional Inherited Members
Protected Attributes inherited from Nektar::NekMeshUtils::Element
unsigned int	m_id
	ID of the element. More...

unsigned int	m_dim
	Dimension of the element. More...

ElmtConfig	m_conf
	Contains configuration of the element. More...

std::string	m_tag
	Tag character describing the element. More...

std::vector< int >	m_taglist
	List of integers specifying properties of the element. More...

std::vector< NodeSharedPtr >	m_vertex
	List of element vertex nodes. More...

std::vector< EdgeSharedPtr >	m_edge
	List of element edges. More...

std::vector< FaceSharedPtr >	m_face
	List of element faces. More...

std::vector< NodeSharedPtr >	m_volumeNodes
	List of element volume nodes. More...

LibUtilities::PointsType	m_curveType
	Volume curve type. More...

EdgeSharedPtr	m_edgeLink
	Pointer to the corresponding edge if element is a 2D boundary. More...

FaceSharedPtr	m_faceLink
	Pointer to the corresponding face if element is a 3D boundary. More...

std::map< int, int >	m_boundaryLinks
	Array mapping faces/edges to the location of the appropriate boundary elements in m->element. More...

SpatialDomains::GeometrySharedPtr	m_geom
	Nektar++ geometry object for this element. More...

Detailed Description

A 3-dimensional six-faced element.

Definition at line 49 of file Hexahedron.h.

Constructor & Destructor Documentation

Nektar::NekMeshUtils::Hexahedron::Hexahedron	(	ElmtConfig	pConf,
		std::vector< NodeSharedPtr >	pNodeList,
		std::vector< int >	pTagList
	)

Create a hexahedral element.

Definition at line 53 of file Hexahedron.cpp.

Referenced by create().

     : Element(pConf, GetNumNodes(pConf), pNodeList.size())
 {
     m_tag     = "H";
     m_dim     = 3;
     m_taglist = pTagList;
     int n     = m_conf.m_order - 1;
 
     // Create a map to relate edge nodes to a pair of vertices defining an edge
     // This is based on the ordering produced by gmsh.
     map<pair<int, int>, int> edgeNodeMap;
     map<pair<int, int>, int>::iterator it;
     edgeNodeMap[pair<int, int>(1, 2)] = 9;
     edgeNodeMap[pair<int, int>(2, 3)] = 9 + n;
     edgeNodeMap[pair<int, int>(3, 4)] = 9 + 2 * n;
     edgeNodeMap[pair<int, int>(4, 1)] = 9 + 3 * n;
     edgeNodeMap[pair<int, int>(1, 5)] = 9 + 4 * n;
     edgeNodeMap[pair<int, int>(2, 6)] = 9 + 5 * n;
     edgeNodeMap[pair<int, int>(3, 7)] = 9 + 6 * n;
     edgeNodeMap[pair<int, int>(4, 8)] = 9 + 7 * n;
     edgeNodeMap[pair<int, int>(5, 6)] = 9 + 8 * n;
     edgeNodeMap[pair<int, int>(6, 7)] = 9 + 9 * n;
     edgeNodeMap[pair<int, int>(7, 8)] = 9 + 10 * n;
     edgeNodeMap[pair<int, int>(8, 5)] = 9 + 11 * n;
 
     // Add vertices
     for (int i = 0; i < 8; ++i)
     {
         m_vertex.push_back(pNodeList[i]);
     }
 
     // Create edges (with corresponding set of edge points)
     for (it = edgeNodeMap.begin(); it != edgeNodeMap.end(); ++it)
     {
         vector<NodeSharedPtr> edgeNodes;
         if (m_conf.m_order > 1)
         {
             for (int j = it->second; j < it->second + n; ++j)
             {
                 edgeNodes.push_back(pNodeList[j - 1]);
             }
         }
         m_edge.push_back(EdgeSharedPtr(new Edge(pNodeList[it->first.first - 1],
                                                 pNodeList[it->first.second - 1],
                                                 edgeNodes,
                                                 m_conf.m_edgeCurveType)));
     }
 
     // Create faces
     int face_edges[6][4];
     int face_ids[6][4] = {{0, 1, 2, 3},
                           {0, 1, 5, 4},
                           {1, 2, 6, 5},
                           {3, 2, 6, 7},
                           {0, 3, 7, 4},
                           {4, 5, 6, 7}};
     for (int j = 0; j < 6; ++j)
     {
         vector<NodeSharedPtr> faceVertices;
         vector<EdgeSharedPtr> faceEdges;
         vector<NodeSharedPtr> faceNodes;
         for (int k = 0; k < 4; ++k)
         {
             faceVertices.push_back(m_vertex[face_ids[j][k]]);
             NodeSharedPtr a = m_vertex[face_ids[j][k]];
             NodeSharedPtr b = m_vertex[face_ids[j][(k + 1) % 4]];
             for (unsigned int i = 0; i < m_edge.size(); ++i)
             {
                 if (((*(m_edge[i]->m_n1) == *a) &&
                      (*(m_edge[i]->m_n2) == *b)) ||
                     ((*(m_edge[i]->m_n1) == *b) && (*(m_edge[i]->m_n2) == *a)))
                 {
                     face_edges[j][k] = i;
                     faceEdges.push_back(m_edge[i]);
                     break;
                 }
             }
         }
 
         if (m_conf.m_faceNodes)
         {
             int N = 8 + 12 * n + j * n * n;
             for (int i = 0; i < n * n; ++i)
             {
                 faceNodes.push_back(pNodeList[N + i]);
             }
         }
         m_face.push_back(FaceSharedPtr(new Face(
             faceVertices, faceNodes, faceEdges, m_conf.m_faceCurveType)));
     }
 
     // Reorder edges to be consistent with Nektar++ ordering.
     vector<EdgeSharedPtr> tmp(12);
     tmp[0]  = m_edge[face_edges[0][0]];
     tmp[1]  = m_edge[face_edges[0][1]];
     tmp[2]  = m_edge[face_edges[0][2]];
     tmp[3]  = m_edge[face_edges[0][3]];
     tmp[4]  = m_edge[face_edges[1][3]];
     tmp[5]  = m_edge[face_edges[1][1]];
     tmp[6]  = m_edge[face_edges[2][1]];
     tmp[7]  = m_edge[face_edges[4][1]];
     tmp[8]  = m_edge[face_edges[5][0]];
     tmp[9]  = m_edge[face_edges[5][1]];
     tmp[10] = m_edge[face_edges[5][2]];
     tmp[11] = m_edge[face_edges[5][3]];
     m_edge  = tmp;
 }

NEKMESHUTILS_EXPORT Nektar::NekMeshUtils::Hexahedron::Hexahedron ( const Hexahedron & pSrc )

virtual NEKMESHUTILS_EXPORT Nektar::NekMeshUtils::Hexahedron::~Hexahedron ( )

inlinevirtual

Definition at line 74 of file Hexahedron.h.

75 {

76 }

Member Function Documentation

static NEKMESHUTILS_EXPORT ElementSharedPtr Nektar::NekMeshUtils::Hexahedron::create	(	ElmtConfig	pConf,
		std::vector< NodeSharedPtr >	pNodeList,
		std::vector< int >	pTagList
	)

inlinestatic

Creates an instance of this class.

Definition at line 53 of file Hexahedron.h.

References Hexahedron().

     {
         ElementSharedPtr e = boost::shared_ptr<Element>(
             new Hexahedron(pConf, pNodeList, pTagList));
         vector<FaceSharedPtr> faces = e->GetFaceList();
         for (int i = 0; i < faces.size(); ++i)
         {
             faces[i]->m_elLink.push_back(pair<ElementSharedPtr, int>(e, i));
         }
         return e;
     }

SpatialDomains::GeometrySharedPtr Nektar::NekMeshUtils::Hexahedron::GetGeom ( int coordDim )

virtual

Generate a Nektar++ geometry object for this element.

Reimplemented from Nektar::NekMeshUtils::Element.

Definition at line 163 of file Hexahedron.cpp.

References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), and Nektar::NekMeshUtils::Element::m_face.

 {
     SpatialDomains::QuadGeomSharedPtr faces[6];
     SpatialDomains::HexGeomSharedPtr ret;
 
     for (int i = 0; i < 6; ++i)
     {
         faces[i] = boost::dynamic_pointer_cast<SpatialDomains::QuadGeom>(
             m_face[i]->GetGeom(coordDim));
     }
 
     ret = MemoryManager<SpatialDomains::HexGeom>::AllocateSharedPtr(faces);
 
     return ret;
 }

unsigned int Nektar::NekMeshUtils::Hexahedron::GetNumNodes ( ElmtConfig pConf )

static

Return the number of nodes defining a hexahedron.

Definition at line 182 of file Hexahedron.cpp.

References Nektar::NekMeshUtils::ElmtConfig::m_faceNodes, Nektar::NekMeshUtils::ElmtConfig::m_order, and Nektar::NekMeshUtils::ElmtConfig::m_volumeNodes.

 {
     int n = pConf.m_order;
     if (pConf.m_faceNodes && pConf.m_volumeNodes)
         return (n + 1) * (n + 1) * (n + 1);
     else if (pConf.m_faceNodes && !pConf.m_volumeNodes)
         return 6 * (n + 1) * (n + 1) - 12 * (n + 1) + 8;
     else
         return 12 * (n + 1) - 16;
 }

Member Data Documentation

LibUtilities::ShapeType Nektar::NekMeshUtils::Hexahedron::m_type

static

Initial value:

=
    GetElementFactory().RegisterCreatorFunction(
        LibUtilities::eHexahedron, Hexahedron::create, "Hexahedron")

Element type.

Definition at line 68 of file Hexahedron.h.

Public Member Functions

Static Public Member Functions

Static Public Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation