Nektar::NekMeshUtils::Hexahedron Class Reference

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

#include <Hexahedron.h>

Inheritance 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)
	copy hex element More...
virtual NEKMESHUTILS_EXPORT	~Hexahedron ()
virtual NEKMESHUTILS_EXPORT SpatialDomains::GeometrySharedPtr	GetGeom (int coordDim)
	Generate a Nektar++ geometry object for this element. More...
virtual NEKMESHUTILS_EXPORT StdRegions::Orientation	GetEdgeOrient (int edgeId, EdgeSharedPtr edge)
	Get the edge orientation of edge with respect to the local element, which lies at edge index edgeId. More...
virtual NEKMESHUTILS_EXPORT void	MakeOrder (int order, SpatialDomains::GeometrySharedPtr geom, LibUtilities::PointsType pType, int coordDim, int &id, bool justConfig=false)
	Insert interior (i.e. volume) points into this element to make the geometry an order order representation. More...
virtual NEKMESHUTILS_EXPORT int	GetFaceVertex (int i, int j)
	Returns the local index of vertex j of face i. 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 LibUtilities::ShapeType	GetShapeType () const
	returns the shapetype 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 ()
	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, bool descend=true)
	Replace a vertex in the element. More...
NEKMESHUTILS_EXPORT void	SetEdge (unsigned int p, EdgeSharedPtr pNew, bool descend=true)
	Replace an edge in the element. More...
NEKMESHUTILS_EXPORT void	SetFace (unsigned int p, FaceSharedPtr pNew)
	Replace a face in the element. 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 bool	HasBoundaryLinks ()
	Is this element connected to a boundary. 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 ()
	Generate a list of vertices (1D), edges (2D), or faces (3D). More...
virtual NEKMESHUTILS_EXPORT void	GetCurvedNodes (std::vector< NodeSharedPtr > &nodeList) const
	get list of volume interior nodes More...
NEKMESHUTILS_EXPORT std::string	GetXmlCurveString ()
	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...
NEKMESHUTILS_EXPORT bool	IsDeformed ()
	Determines whether an element is deformed by inspecting whether there are any edge, face or volume interior nodes. More...
NEKMESHUTILS_EXPORT std::pair< Node, Node >	GetBoundingBox ()
	Returns the approximate bounding box of this element based on the coordinates of all vertices, edges and faces of the element. Note that this does not robustly take into account the curvature of the element. More...
NEKMESHUTILS_EXPORT void	Print ()
virtual NEKMESHUTILS_EXPORT Array< OneD, NekDouble >	Normal (bool inward=false)
	returns the normal to the element More...

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...

Static Private Attributes
static int	m_faceIds [6][4]
	Vertex IDs that make up hexahedron faces. More...

Additional Inherited Members
Public Attributes inherited from Nektar::NekMeshUtils::Element
CADObjectSharedPtr	m_parentCAD
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 48 of file Hexahedron.h.

Constructor & Destructor Documentation

Hexahedron() [1/2]

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

Create a hexahedral element.

Definition at line 57 of file Hexahedron.cpp.

References Nektar::NekMeshUtils::Element::m_conf, Nektar::NekMeshUtils::Element::m_dim, Nektar::NekMeshUtils::Element::m_edge, Nektar::NekMeshUtils::ElmtConfig::m_edgeCurveType, Nektar::NekMeshUtils::Element::m_face, Nektar::NekMeshUtils::ElmtConfig::m_faceCurveType, m_faceIds, Nektar::NekMeshUtils::ElmtConfig::m_faceNodes, Nektar::NekMeshUtils::ElmtConfig::m_order, Nektar::NekMeshUtils::Element::m_tag, Nektar::NekMeshUtils::Element::m_taglist, and Nektar::NekMeshUtils::Element::m_vertex.

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];
    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[m_faceIds[j][k]]);
            NodeSharedPtr a = m_vertex[m_faceIds[j][k]];
            NodeSharedPtr b = m_vertex[m_faceIds[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;
}

Hexahedron() [2/2]

NEKMESHUTILS_EXPORT Nektar::NekMeshUtils::Hexahedron::Hexahedron

(

const Hexahedron &

pSrc

)

copy hex element

~Hexahedron()

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

inlinevirtual

Definition at line 71 of file Hexahedron.h.

References GetEdgeOrient(), GetGeom(), GetNumNodes(), MakeOrder(), and NEKMESHUTILS_EXPORT.

    {
    }

Member Function Documentation

create()

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 52 of file Hexahedron.h.

References Hexahedron().

    {
        return std::shared_ptr<Element>(
            new Hexahedron(pConf, pNodeList, pTagList));
    }

GetEdgeOrient()

StdRegions::Orientation Nektar::NekMeshUtils::Hexahedron::GetEdgeOrient ( int  edgeId, EdgeSharedPtr  edge  )

virtual

Get the edge orientation of edge with respect to the local element, which lies at edge index edgeId.

Reimplemented from Nektar::NekMeshUtils::Element.

Definition at line 179 of file Hexahedron.cpp.

References ASSERTL1, Nektar::StdRegions::eBackwards, Nektar::StdRegions::eForwards, Nektar::StdRegions::eNoOrientation, and Nektar::NekMeshUtils::Element::m_vertex.

Referenced by ~Hexahedron().

{
    static int edgeVerts[12][2] = { {0,1}, {1,2}, {2,3}, {3,0}, {0,4}, {1,5},
                                    {2,6}, {3,7}, {4,5}, {5,6}, {6,7}, {7,4} };

    if (edge->m_n1 == m_vertex[edgeVerts[edgeId][0]])
    {
        return StdRegions::eForwards;
    }
    else if (edge->m_n1 == m_vertex[edgeVerts[edgeId][1]])
    {
        return StdRegions::eBackwards;
    }
    else
    {
        ASSERTL1(false, "Edge is not connected to this hexahedron.");
    }

    return StdRegions::eNoOrientation;
}

GetFaceVertex()

virtual NEKMESHUTILS_EXPORT int Nektar::NekMeshUtils::Hexahedron::GetFaceVertex ( int  i, int  j  )

inlinevirtual

Returns the local index of vertex j of face i.

Reimplemented from Nektar::NekMeshUtils::Element.

Definition at line 88 of file Hexahedron.h.

References m_faceIds.

    {
        return m_faceIds[i][j];
    }

GetGeom()

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 161 of file Hexahedron.cpp.

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

Referenced by ~Hexahedron().

{
    SpatialDomains::QuadGeomSharedPtr faces[6];
    SpatialDomains::HexGeomSharedPtr ret;

    for (int i = 0; i < 6; ++i)
    {
        faces[i] = std::dynamic_pointer_cast<SpatialDomains::QuadGeom>(
            m_face[i]->GetGeom(coordDim));
    }

    ret = MemoryManager<SpatialDomains::HexGeom>::AllocateSharedPtr(
        m_id, faces);

    ret->Setup();
    return ret;
}

GetNumNodes()

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

static

Return the number of nodes defining a hexahedron.

Definition at line 272 of file Hexahedron.cpp.

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

Referenced by Nektar::Utilities::InputGmsh::GetNnodes(), and ~Hexahedron().

{
    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;
}

MakeOrder()

void Nektar::NekMeshUtils::Hexahedron::MakeOrder ( int  order, SpatialDomains::GeometrySharedPtr  geom, LibUtilities::PointsType  edgeType, int  coordDim, int &  id, bool  justConfig = false  )

virtual

Insert interior (i.e. volume) points into this element to make the geometry an order order representation.

Parameters

order	The desired polynomial order.
geom	The geometry object used to describe the curvature mapping.
edgeType	The points distribution to use on the volume.
coordDim	The coordinate (i.e. space) dimension.
id	Counter which should be incremented to supply consistent vertex IDs.
justConfig	If true, then the configuration Element::m_conf will be updated but no nodes will be generated. This is used when considering boundary elements, which just require copying of face or edge interior nodes.

Reimplemented from Nektar::NekMeshUtils::Element.

Definition at line 201 of file Hexahedron.cpp.

References ASSERTL1, Nektar::LibUtilities::PointsKey::GetPointsDim(), Nektar::NekMeshUtils::Element::m_conf, Nektar::NekMeshUtils::Element::m_curveType, Nektar::NekMeshUtils::ElmtConfig::m_faceNodes, Nektar::NekMeshUtils::ElmtConfig::m_order, Nektar::NekMeshUtils::ElmtConfig::m_volumeNodes, Nektar::NekMeshUtils::Element::m_volumeNodes, class_topology::Node, and Nektar::LibUtilities::PointsManager().

Referenced by ~Hexahedron().

{
    m_curveType    = pType;
    m_conf.m_order = order;
    m_volumeNodes.clear();

    if (order == 1)
    {
        m_conf.m_volumeNodes = m_conf.m_faceNodes = false;
        return;
    }

    m_conf.m_faceNodes   = true;
    m_conf.m_volumeNodes = true;

    if (justConfig)
    {
        return;
    }

    int nPoints = order + 1;
    StdRegions::StdExpansionSharedPtr xmap = geom->GetXmap();

    Array<OneD, NekDouble> px;
    LibUtilities::PointsKey pKey(nPoints, pType);
    ASSERTL1(pKey.GetPointsDim() == 1, "Points distribution must be 1D");
    LibUtilities::PointsManager()[pKey]->GetPoints(px);

    Array<OneD, Array<OneD, NekDouble> > phys(coordDim);

    for (int i = 0; i < coordDim; ++i)
    {
        phys[i] = Array<OneD, NekDouble>(xmap->GetTotPoints());
        xmap->BwdTrans(geom->GetCoeffs(i), phys[i]);
    }

    int nHexIntPts = (nPoints - 2) * (nPoints - 2) * (nPoints - 2);
    m_volumeNodes.resize(nHexIntPts);

    for (int i = 1, cnt = 0; i < nPoints-1; ++i)
    {
        for (int j = 1; j < nPoints-1; ++j)
        {
            for (int k = 1; k < nPoints-1; ++k, ++cnt)
            {
                Array<OneD, NekDouble> xp(3);
                xp[0] = px[k];
                xp[1] = px[j];
                xp[2] = px[i];

                Array<OneD, NekDouble> x(3, 0.0);
                for (int k = 0; k < coordDim; ++k)
                {
                    x[k] = xmap->PhysEvaluate(xp, phys[k]);
                }

                m_volumeNodes[cnt] = std::shared_ptr<Node>(
                    new Node(id++, x[0], x[1], x[2]));
            }
        }
    }
}

Member Data Documentation

m_faceIds

int Nektar::NekMeshUtils::Hexahedron::m_faceIds

staticprivate

Initial value:

= {
    {0, 1, 2, 3}, {0, 1, 5, 4}, {1, 2, 6, 5},
    {3, 2, 6, 7}, {0, 3, 7, 4}, {4, 5, 6, 7}
}

Vertex IDs that make up hexahedron faces.

Definition at line 94 of file Hexahedron.h.

Referenced by GetFaceVertex(), and Hexahedron().

m_type

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

static

Initial value:

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

Element type.

Definition at line 61 of file Hexahedron.h.