A 2-dimensional three-sided element. More...

#include <Triangle.h>

Inheritance diagram for Nektar::NekMeshUtils::Triangle:

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

NEKMESHUTILS_EXPORT	Triangle (const Triangle &pSrc)

virtual NEKMESHUTILS_EXPORT	~Triangle ()

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

virtual NEKMESHUTILS_EXPORT void	GetCurvedNodes (std::vector< NodeSharedPtr > &nodeList) const
	get list of volume interior nodes 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...

NEKMESHUTILS_EXPORT Array< OneD, NekDouble >	Normal (bool inward=false)
	returns the normal to the 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 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...

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...

virtual NEKMESHUTILS_EXPORT int	GetFaceVertex (int i, int j)
	Returns the local index of vertex `j` of face `i`. More...

NEKMESHUTILS_EXPORT void	Print ()

Static Public Member Functions
static 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 triangle. More...

Static Public Attributes
static LibUtilities::ShapeType	m_type
	Element type. 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 2-dimensional three-sided element.

Definition at line 50 of file Triangle.h.

Constructor & Destructor Documentation

◆ Triangle() [1/2]

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

Create a triangle element.

Definition at line 55 of file Triangle.cpp.

     : Element(pConf, GetNumNodes(pConf), pNodeList.size())
 {
     m_tag       = "T";
     m_dim       = 2;
     m_taglist   = pTagList;
     m_curveType = LibUtilities::eNodalTriEvenlySpaced;
     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)] = 4;
     edgeNodeMap[pair<int, int>(2, 3)] = 4 + n;
     edgeNodeMap[pair<int, int>(3, 1)] = 4 + 2 * n;
 
     // Add vertices. This logic will determine (in 2D) whether the
     // element is clockwise (sum > 0) or counter-clockwise (sum < 0).
     NekDouble sum = 0.0;
     for (int i = 0; i < 3; ++i)
     {
         int o = (i + 1) % 3;
         m_vertex.push_back(pNodeList[i]);
         sum += (pNodeList[o]->m_x - pNodeList[i]->m_x) *
                (pNodeList[o]->m_y + pNodeList[i]->m_y);
     }
 
     // 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)));
     }
 
     if (pConf.m_reorient)
     {
         if (sum > 0.0)
         {
             swap(m_vertex[1], m_vertex[2]);
             reverse(m_edge.begin(), m_edge.end());
         }
     }
 
     if (m_conf.m_faceNodes)
     {
         m_volumeNodes.insert(m_volumeNodes.begin(),
                              pNodeList.begin() + 3 * m_conf.m_order,
                              pNodeList.end());
     }
 }

◆ Triangle() [2/2]

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

◆ ~Triangle()

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

inlinevirtual

Definition at line 67 of file Triangle.h.

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

68 {

69 }

Member Function Documentation

◆ create()

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

inlinestatic

Creates an instance of this class.

Definition at line 54 of file Triangle.h.

     {
         return std::make_shared<Triangle>(pConf, pNodeList, pTagList);
     }

◆ GetCurvedNodes()

void Nektar::NekMeshUtils::Triangle::GetCurvedNodes ( std::vector< NodeSharedPtr > & nodeList ) const

virtual

get list of volume interior nodes

Reimplemented from Nektar::NekMeshUtils::Element.

Definition at line 168 of file Triangle.cpp.

References CellMLToNektar.pycml::copy(), Nektar::NekMeshUtils::Element::m_edge, Nektar::NekMeshUtils::Element::m_vertex, and Nektar::NekMeshUtils::Element::m_volumeNodes.

Referenced by ~Triangle().

 {
     int n = m_edge[0]->GetNodeCount();
     nodeList.resize(n * (n + 1) / 2);
 
     // Populate nodelist
     std::copy(m_vertex.begin(), m_vertex.end(), nodeList.begin());
     for (int i = 0; i < 3; ++i)
     {
         std::copy(m_edge[i]->m_edgeNodes.begin(),
                   m_edge[i]->m_edgeNodes.end(),
                   nodeList.begin() + 3 + i * (n - 2));
         if (m_edge[i]->m_n1 != m_vertex[i])
         {
             // If edge orientation is reversed relative to node ordering, we
             // need to reverse order of nodes.
             std::reverse(nodeList.begin() + 3 + i * (n - 2),
                          nodeList.begin() + 3 + (i + 1) * (n - 2));
         }
     }
 
     // Copy volume nodes.
     std::copy(m_volumeNodes.begin(),
               m_volumeNodes.end(),
               nodeList.begin() + 3 * (n - 1));
 }

◆ GetEdgeOrient()

StdRegions::Orientation Nektar::NekMeshUtils::Triangle::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 137 of file Triangle.cpp.

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

Referenced by ~Triangle().

 {
     int locVert = edgeId;
     if (edge->m_n1 == m_vertex[locVert])
     {
         return StdRegions::eForwards;
     }
     else if (edge->m_n2 == m_vertex[locVert])
     {
         return StdRegions::eBackwards;
     }
     else
     {
         ASSERTL1(false, "Edge is not connected to this triangle.");
     }
 
     return StdRegions::eNoOrientation;
 }

◆ GetGeom()

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

virtual

Generate a Nektar++ geometry object for this element.

Reimplemented from Nektar::NekMeshUtils::Element.

Definition at line 120 of file Triangle.cpp.

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

Referenced by ~Triangle().

 {
     SpatialDomains::SegGeomSharedPtr edges[3];
     SpatialDomains::TriGeomSharedPtr ret;
 
     for (int i = 0; i < 3; ++i)
     {
         edges[i] = m_edge[i]->GetGeom(coordDim);
     }
 
     ret = MemoryManager<SpatialDomains::TriGeom>::AllocateSharedPtr(
         m_id, edges);
     ret->Setup();
 
     return ret;
 }

◆ GetNumNodes()

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

static

Return the number of nodes defining a triangle.

Definition at line 159 of file Triangle.cpp.

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

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

 {
     int n = pConf.m_order;
     if (!pConf.m_faceNodes)
         return (n + 1) + 2 * (n - 1) + 1;
     else
         return (n + 1) * (n + 2) / 2;
 }

◆ MakeOrder()

void Nektar::NekMeshUtils::Triangle::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 195 of file Triangle.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 ~Triangle().

 {
     m_conf.m_order       = order;
     m_curveType          = pType;
     m_conf.m_volumeNodes = false;
     m_volumeNodes.clear();
 
     // Triangles of order < 3 have no interior volume points.
     if (order == 1 || order == 2)
     {
         m_conf.m_faceNodes = false;
         return;
     }
 
     m_conf.m_faceNodes = true;
 
     if (justConfig)
     {
         return;
     }
 
     int nPoints = order + 1;
     StdRegions::StdExpansionSharedPtr xmap = geom->GetXmap();
 
     Array<OneD, NekDouble> px, py;
     LibUtilities::PointsKey pKey(nPoints, pType);
     ASSERTL1(pKey.GetPointsDim() == 2, "Points distribution must be 2D");
     LibUtilities::PointsManager()[pKey]->GetPoints(px, py);
 
     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]);
     }
 
     const int nTriPts = nPoints * (nPoints + 1) / 2;
     const int nTriIntPts = (nPoints - 3) * (nPoints - 2) / 2;
     m_volumeNodes.resize(nTriIntPts);
 
     for (int i = 3 + 3*(nPoints-2), cnt = 0; i < nTriPts; ++i, ++cnt)
     {
         Array<OneD, NekDouble> xp(2);
         xp[0] = px[i];
         xp[1] = py[i];
 
         Array<OneD, NekDouble> x(3, 0.0);
         for (int j = 0; j < coordDim; ++j)
         {
             x[j] = xmap->PhysEvaluate(xp, phys[j]);
         }
 
         m_volumeNodes[cnt] = std::shared_ptr<Node>(
             new Node(id++, x[0], x[1], x[2]));
     }
 
     m_conf.m_order       = order;
     m_conf.m_faceNodes   = true;
     m_conf.m_volumeNodes = false;
 }

◆ Normal()

Array< OneD, NekDouble > Nektar::NekMeshUtils::Triangle::Normal ( bool inward = false )

virtual

returns the normal to the element

Reimplemented from Nektar::NekMeshUtils::Element.

Definition at line 263 of file Triangle.cpp.

References Nektar::NekMeshUtils::CADOrientation::eBackwards, Nektar::NekMeshUtils::Element::m_parentCAD, and Nektar::NekMeshUtils::Element::m_vertex.

Referenced by ~Triangle().

 {
     Array<OneD, NekDouble> ret(3,0.0);
 
     ret[0] = (m_vertex[1]->m_y - m_vertex[0]->m_y) * (m_vertex[2]->m_z - m_vertex[0]->m_z) -
              (m_vertex[1]->m_z - m_vertex[0]->m_z) * (m_vertex[2]->m_y - m_vertex[0]->m_y);
     ret[1] = (m_vertex[1]->m_z - m_vertex[0]->m_z) * (m_vertex[2]->m_x - m_vertex[0]->m_x) -
              (m_vertex[1]->m_x - m_vertex[0]->m_x) * (m_vertex[2]->m_z - m_vertex[0]->m_z);
     ret[2] = (m_vertex[1]->m_x - m_vertex[0]->m_x) * (m_vertex[2]->m_y - m_vertex[0]->m_y) -
              (m_vertex[1]->m_y - m_vertex[0]->m_y) * (m_vertex[2]->m_x - m_vertex[0]->m_x);
 
     NekDouble mt = ret[0] * ret[0] + ret[1] * ret[1] + ret[2] * ret[2];
     mt           = sqrt(mt);
 
     ret[0] /= mt;
     ret[1] /= mt;
     ret[2] /= mt;
 
     if(m_parentCAD)
     {
         //has cad so can orientate based on that
         if(m_parentCAD->Orientation() == CADOrientation::eBackwards)
         {
             ret[0] *= -1.0;
             ret[1] *= -1.0;
             ret[2] *= -1.0;
         }
 
         //by default normals point outwards so if we want inward for BLs
         if(inward)
         {
             ret[0] *= -1.0;
             ret[1] *= -1.0;
             ret[2] *= -1.0;
         }
     }
     return ret;
 }

Member Data Documentation

◆ m_type

LibUtilities::ShapeType Nektar::NekMeshUtils::Triangle::m_type

static

Initial value:

=
    GetElementFactory().RegisterCreatorFunction(
        LibUtilities::eTriangle, Triangle::create, "Triangle")

Element type.

Definition at line 61 of file Triangle.h.

Public Member Functions

Static Public Member Functions

Static Public Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ Triangle() [1/2]

◆ Triangle() [2/2]

◆ ~Triangle()

Member Function Documentation

◆ create()

◆ GetCurvedNodes()

◆ GetEdgeOrient()

◆ GetGeom()

◆ GetNumNodes()

◆ MakeOrder()

◆ Normal()

Member Data Documentation

◆ m_type