#include <TetGeom.h>

Inheritance diagram for Nektar::SpatialDomains::TetGeom:

Public Member Functions
	TetGeom ()

	TetGeom (int id, const TriGeomSharedPtr faces[])

	~TetGeom () override

Public Member Functions inherited from Nektar::SpatialDomains::Geometry3D
	Geometry3D ()

	Geometry3D (const int coordim)

	~Geometry3D () override

Public Member Functions inherited from Nektar::SpatialDomains::Geometry
	Geometry ()
	Default constructor. More...

	Geometry (int coordim)
	Constructor when supplied a coordinate dimension. More...

virtual	~Geometry ()
	Default destructor. More...

int	GetCoordim () const
	Return the coordinate dimension of this object (i.e. the dimension of the space in which this object is embedded). More...

void	SetCoordim (int coordim)
	Sets the coordinate dimension of this object (i.e. the dimension of the space in which this object is embedded). More...

GeomFactorsSharedPtr	GetGeomFactors ()
	Get the geometric factors for this object, generating them if required. More...

GeomFactorsSharedPtr	GetRefGeomFactors (const Array< OneD, const LibUtilities::BasisSharedPtr > &tbasis)

GeomFactorsSharedPtr	GetMetricInfo ()
	Get the geometric factors for this object. More...

LibUtilities::ShapeType	GetShapeType (void)
	Get the geometric shape type of this object. More...

int	GetGlobalID (void) const
	Get the ID of this object. More...

void	SetGlobalID (int globalid)
	Set the ID of this object. More...

int	GetVid (int i) const
	Get the ID of vertex `i` of this object. More...

int	GetEid (int i) const
	Get the ID of edge `i` of this object. More...

int	GetFid (int i) const
	Get the ID of face `i` of this object. More...

int	GetTid (int i) const
	Get the ID of trace `i` of this object. More...

PointGeomSharedPtr	GetVertex (int i) const
	Returns vertex `i` of this object. More...

Geometry1DSharedPtr	GetEdge (int i) const
	Returns edge `i` of this object. More...

Geometry2DSharedPtr	GetFace (int i) const
	Returns face `i` of this object. More...

StdRegions::Orientation	GetEorient (const int i) const
	Returns the orientation of edge `i` with respect to the ordering of edges in the standard element. More...

StdRegions::Orientation	GetForient (const int i) const
	Returns the orientation of face `i` with respect to the ordering of faces in the standard element. More...

int	GetNumVerts () const
	Get the number of vertices of this object. More...

int	GetNumEdges () const
	Get the number of edges of this object. More...

int	GetNumFaces () const
	Get the number of faces of this object. More...

int	GetShapeDim () const
	Get the object's shape dimension. More...

StdRegions::StdExpansionSharedPtr	GetXmap () const
	Return the mapping object Geometry::m_xmap that represents the coordinate transformation from standard element to physical element. More...

const Array< OneD, const NekDouble > &	GetCoeffs (const int i) const
	Return the coefficients of the transformation Geometry::m_xmap in coordinate direction `i`. More...

void	FillGeom ()
	Populate the coordinate mapping Geometry::m_coeffs information from any children geometry elements. More...

std::array< NekDouble, 6 >	GetBoundingBox ()
	Generates the bounding box for the element. More...

void	ClearBoundingBox ()

bool	ContainsPoint (const Array< OneD, const NekDouble > &gloCoord, NekDouble tol=0.0)
	Determine whether an element contains a particular Cartesian coordinate \((x,y,z)\). More...

bool	ContainsPoint (const Array< OneD, const NekDouble > &gloCoord, Array< OneD, NekDouble > &locCoord, NekDouble tol)
	Determine whether an element contains a particular Cartesian coordinate \((x,y,z)\). More...

bool	ContainsPoint (const Array< OneD, const NekDouble > &gloCoord, Array< OneD, NekDouble > &locCoord, NekDouble tol, NekDouble &dist)
	Determine whether an element contains a particular Cartesian coordinate \(\vec{x} = (x,y,z)\). More...

NekDouble	GetLocCoords (const Array< OneD, const NekDouble > &coords, Array< OneD, NekDouble > &Lcoords)
	Determine the local collapsed coordinates that correspond to a given Cartesian coordinate for this geometry object. More...

NekDouble	GetCoord (const int i, const Array< OneD, const NekDouble > &Lcoord)
	Given local collapsed coordinate `Lcoord`, return the value of physical coordinate in direction `i`. More...

int	PreliminaryCheck (const Array< OneD, const NekDouble > &gloCoord)
	A fast and robust check if a given global coord is outside of a deformed element. For regular elements, this check is unnecessary. More...

bool	MinMaxCheck (const Array< OneD, const NekDouble > &gloCoord)
	Check if given global coord is within the BoundingBox of the element. More...

bool	ClampLocCoords (Array< OneD, NekDouble > &locCoord, NekDouble tol=std::numeric_limits< NekDouble >::epsilon())
	Clamp local coords to be within standard regions [-1, 1]^dim. More...

NekDouble	FindDistance (const Array< OneD, const NekDouble > &xs, Array< OneD, NekDouble > &xi)

int	GetVertexEdgeMap (int i, int j) const
	Returns the standard element edge IDs that are connected to a given vertex. More...

int	GetVertexFaceMap (int i, int j) const
	Returns the standard element face IDs that are connected to a given vertex. More...

int	GetEdgeFaceMap (int i, int j) const
	Returns the standard element edge IDs that are connected to a given face. More...

int	GetEdgeNormalToFaceVert (int i, int j) const
	Returns the standard lement edge IDs that are normal to a given face vertex. More...

int	GetDir (const int i, const int j=0) const
	Returns the element coordinate direction corresponding to a given face coordinate direction. More...

void	Reset (CurveMap &curvedEdges, CurveMap &curvedFaces)
	Reset this geometry object: unset the current state, zero Geometry::m_coeffs and remove allocated GeomFactors. More...

void	ResetNonRecursive (CurveMap &curvedEdges, CurveMap &curvedFaces)
	Reset this geometry object non-recursively: unset the current state, zero Geometry::m_coeffs and remove allocated GeomFactors. More...

void	Setup ()

void	GenGeomFactors ()
	Handles generation of geometry factors. More...

Static Public Attributes
static const int	kNverts = 4

static const int	kNedges = 6

static const int	kNqfaces = 0

static const int	kNtfaces = 4

static const int	kNfaces = kNqfaces + kNtfaces

static const std::string	XMLElementType

Static Public Attributes inherited from Nektar::SpatialDomains::Geometry3D
static const int	kDim = 3

Protected Member Functions
int	v_GetVertexEdgeMap (const int i, const int j) const override
	Returns the standard element edge IDs that are connected to a given vertex. More...

int	v_GetVertexFaceMap (const int i, const int j) const override
	Returns the standard element face IDs that are connected to a given vertex. More...

int	v_GetEdgeFaceMap (const int i, const int j) const override
	Returns the standard element edge IDs that are connected to a given face. More...

int	v_GetEdgeNormalToFaceVert (const int i, const int j) const override
	Returns the standard lement edge IDs that are normal to a given face vertex. More...

int	v_GetDir (const int faceidx, const int facedir) const override
	Returns the element coordinate direction corresponding to a given face coordinate direction. More...

void	v_Reset (CurveMap &curvedEdges, CurveMap &curvedFaces) override
	Reset this geometry object: unset the current state, zero Geometry::m_coeffs and remove allocated GeomFactors. More...

void	v_Setup () override

void	v_GenGeomFactors () override

Protected Member Functions inherited from Nektar::SpatialDomains::Geometry3D
NekDouble	v_GetLocCoords (const Array< OneD, const NekDouble > &coords, Array< OneD, NekDouble > &Lcoords) override
	Determine the local collapsed coordinates that correspond to a given Cartesian coordinate for this geometry object. More...

void	NewtonIterationForLocCoord (const Array< OneD, const NekDouble > &coords, const Array< OneD, const NekDouble > &ptsx, const Array< OneD, const NekDouble > &ptsy, const Array< OneD, const NekDouble > &ptsz, Array< OneD, NekDouble > &Lcoords, NekDouble &dist)

void	NewtonIterationForLocCoord (const Array< OneD, const NekDouble > &coords, Array< OneD, NekDouble > &Lcoords)

void	v_FillGeom () override
	Put all quadrature information into face/edge structure and backward transform. More...

NekDouble	v_GetCoord (const int i, const Array< OneD, const NekDouble > &Lcoord) override
	Given local collapsed coordinate Lcoord return the value of physical coordinate in direction i. More...

void	v_CalculateInverseIsoParam () override

int	v_AllLeftCheck (const Array< OneD, const NekDouble > &gloCoord) override

int	v_GetShapeDim () const override
	Get the object's shape dimension. More...

int	v_GetNumVerts () const override
	Get the number of vertices of this object. More...

int	v_GetNumEdges () const override
	Get the number of edges of this object. More...

int	v_GetNumFaces () const override
	Get the number of faces of this object. More...

PointGeomSharedPtr	v_GetVertex (int i) const override

Geometry1DSharedPtr	v_GetEdge (int i) const override
	Returns edge `i` of this object. More...

Geometry2DSharedPtr	v_GetFace (int i) const override
	Returns face `i` of this object. More...

StdRegions::Orientation	v_GetEorient (const int i) const override
	Returns the orientation of edge `i` with respect to the ordering of edges in the standard element. More...

StdRegions::Orientation	v_GetForient (const int i) const override
	Returns the orientation of face `i` with respect to the ordering of faces in the standard element. More...

Protected Member Functions inherited from Nektar::SpatialDomains::Geometry
virtual PointGeomSharedPtr	v_GetVertex (int i) const =0

virtual Geometry1DSharedPtr	v_GetEdge (int i) const
	Returns edge `i` of this object. More...

virtual Geometry2DSharedPtr	v_GetFace (int i) const
	Returns face `i` of this object. More...

virtual StdRegions::Orientation	v_GetEorient (const int i) const
	Returns the orientation of edge `i` with respect to the ordering of edges in the standard element. More...

virtual StdRegions::Orientation	v_GetForient (const int i) const
	Returns the orientation of face `i` with respect to the ordering of faces in the standard element. More...

virtual int	v_GetNumVerts () const
	Get the number of vertices of this object. More...

virtual int	v_GetNumEdges () const
	Get the number of edges of this object. More...

virtual int	v_GetNumFaces () const
	Get the number of faces of this object. More...

virtual int	v_GetShapeDim () const
	Get the object's shape dimension. More...

virtual StdRegions::StdExpansionSharedPtr	v_GetXmap () const
	Return the mapping object Geometry::m_xmap that represents the coordinate transformation from standard element to physical element. More...

virtual void	v_FillGeom ()
	Populate the coordinate mapping Geometry::m_coeffs information from any children geometry elements. More...

virtual bool	v_ContainsPoint (const Array< OneD, const NekDouble > &gloCoord, Array< OneD, NekDouble > &locCoord, NekDouble tol, NekDouble &dist)
	Determine whether an element contains a particular Cartesian coordinate \(\vec{x} = (x,y,z)\). More...

virtual int	v_AllLeftCheck (const Array< OneD, const NekDouble > &gloCoord)

virtual NekDouble	v_GetCoord (const int i, const Array< OneD, const NekDouble > &Lcoord)
	Given local collapsed coordinate `Lcoord`, return the value of physical coordinate in direction `i`. More...

virtual NekDouble	v_GetLocCoords (const Array< OneD, const NekDouble > &coords, Array< OneD, NekDouble > &Lcoords)
	Determine the local collapsed coordinates that correspond to a given Cartesian coordinate for this geometry object. More...

virtual NekDouble	v_FindDistance (const Array< OneD, const NekDouble > &xs, Array< OneD, NekDouble > &xi)

virtual int	v_GetVertexEdgeMap (int i, int j) const
	Returns the standard element edge IDs that are connected to a given vertex. More...

virtual int	v_GetVertexFaceMap (int i, int j) const
	Returns the standard element face IDs that are connected to a given vertex. More...

virtual int	v_GetEdgeFaceMap (int i, int j) const
	Returns the standard element edge IDs that are connected to a given face. More...

virtual int	v_GetEdgeNormalToFaceVert (const int i, const int j) const
	Returns the standard lement edge IDs that are normal to a given face vertex. More...

virtual int	v_GetDir (const int faceidx, const int facedir) const
	Returns the element coordinate direction corresponding to a given face coordinate direction. More...

virtual void	v_Reset (CurveMap &curvedEdges, CurveMap &curvedFaces)
	Reset this geometry object: unset the current state, zero Geometry::m_coeffs and remove allocated GeomFactors. More...

virtual void	v_Setup ()

virtual void	v_GenGeomFactors ()=0

void	SetUpCoeffs (const int nCoeffs)
	Initialise the Geometry::m_coeffs array. More...

virtual void	v_CalculateInverseIsoParam ()

Private Member Functions
void	SetUpLocalEdges ()

void	SetUpLocalVertices ()

void	SetUpEdgeOrientation ()

void	SetUpFaceOrientation ()

void	SetUpXmap ()
	Set up the m_xmap object by determining the order of each direction from derived faces. More...

Static Private Attributes
static const unsigned int	VertexEdgeConnectivity [4][3]

static const unsigned int	VertexFaceConnectivity [4][3]

static const unsigned int	EdgeFaceConnectivity [6][2]

static const unsigned int	EdgeNormalToFaceVert [4][3]

Additional Inherited Members
Static Protected Member Functions inherited from Nektar::SpatialDomains::Geometry
static GeomFactorsSharedPtr	ValidateRegGeomFactor (GeomFactorsSharedPtr geomFactor)
	Check to see if a geometric factor has already been created that contains the same regular information. More...

Protected Attributes inherited from Nektar::SpatialDomains::Geometry3D
PointGeomVector	m_verts

SegGeomVector	m_edges

Geometry2DVector	m_faces

std::vector< StdRegions::Orientation >	m_eorient

std::vector< StdRegions::Orientation >	m_forient

int	m_eid

bool	m_ownverts

Protected Attributes inherited from Nektar::SpatialDomains::Geometry
int	m_coordim
	Coordinate dimension of this geometry object. More...

GeomFactorsSharedPtr	m_geomFactors
	Geometric factors. More...

GeomState	m_geomFactorsState
	State of the geometric factors. More...

StdRegions::StdExpansionSharedPtr	m_xmap
	\(\chi\) mapping containing isoparametric transformation. More...

GeomState	m_state
	Enumeration to dictate whether coefficients are filled. More...

bool	m_setupState
	Wether or not the setup routines have been run. More...

GeomType	m_geomType
	Type of geometry. More...

LibUtilities::ShapeType	m_shapeType
	Type of shape. More...

int	m_globalID
	Global ID. More...

Array< OneD, Array< OneD, NekDouble > >	m_coeffs
	Array containing expansion coefficients of `m_xmap`. More...

Array< OneD, NekDouble >	m_boundingBox
	Array containing bounding box. More...

Array< OneD, Array< OneD, NekDouble > >	m_isoParameter

Array< OneD, Array< OneD, NekDouble > >	m_invIsoParam

int	m_straightEdge

Static Protected Attributes inherited from Nektar::SpatialDomains::Geometry
static GeomFactorsVector	m_regGeomFactorsManager

Detailed Description

Definition at line 45 of file TetGeom.h.

Constructor & Destructor Documentation

◆ TetGeom() [1/2]

Nektar::SpatialDomains::TetGeom::TetGeom ( )

Definition at line 54 of file TetGeom.cpp.

{
    m_shapeType = LibUtilities::eTetrahedron;
}

References Nektar::LibUtilities::eTetrahedron, and Nektar::SpatialDomains::Geometry::m_shapeType.

◆ TetGeom() [2/2]

Nektar::SpatialDomains::TetGeom::TetGeom	(	int	id,
		const TriGeomSharedPtr	faces[]
	)

Copy the face shared pointers

Set up orientation vectors with correct amount of elements.

Definition at line 59 of file TetGeom.cpp.

    : Geometry3D(faces[0]->GetEdge(0)->GetVertex(0)->GetCoordim())
{
    m_shapeType = LibUtilities::eTetrahedron;
    m_globalID  = id;
 
    /// Copy the face shared pointers
    m_faces.insert(m_faces.begin(), faces, faces + TetGeom::kNfaces);
 
    /// Set up orientation vectors with correct amount of elements.
    m_eorient.resize(kNedges);
    m_forient.resize(kNfaces);
 
    SetUpLocalEdges();
    SetUpLocalVertices();
    SetUpEdgeOrientation();
    SetUpFaceOrientation();
}

References Nektar::LibUtilities::eTetrahedron, kNedges, kNfaces, Nektar::SpatialDomains::Geometry3D::m_eorient, Nektar::SpatialDomains::Geometry3D::m_faces, Nektar::SpatialDomains::Geometry3D::m_forient, Nektar::SpatialDomains::Geometry::m_globalID, Nektar::SpatialDomains::Geometry::m_shapeType, SetUpEdgeOrientation(), SetUpFaceOrientation(), SetUpLocalEdges(), and SetUpLocalVertices().

◆ ~TetGeom()

Nektar::SpatialDomains::TetGeom::~TetGeom ( )

override

Definition at line 78 of file TetGeom.cpp.

79{

80}

Member Function Documentation

◆ SetUpEdgeOrientation()

void Nektar::SpatialDomains::TetGeom::SetUpEdgeOrientation ( )

private

Definition at line 319 of file TetGeom.cpp.

{
 
    // This 2D array holds the local id's of all the vertices
    // for every edge. For every edge, they are ordered to what we
    // define as being Forwards
    const unsigned int edgeVerts[kNedges][2] = {{0, 1}, {1, 2}, {0, 2},
                                                {0, 3}, {1, 3}, {2, 3}};
 
    int i;
    for (i = 0; i < kNedges; i++)
    {
        if (m_edges[i]->GetVid(0) == m_verts[edgeVerts[i][0]]->GetGlobalID())
        {
            m_eorient[i] = StdRegions::eForwards;
        }
        else if (m_edges[i]->GetVid(0) ==
                 m_verts[edgeVerts[i][1]]->GetGlobalID())
        {
            m_eorient[i] = StdRegions::eBackwards;
        }
        else
        {
            ASSERTL0(false, "Could not find matching vertex for the edge");
        }
    }
}

References ASSERTL0, Nektar::StdRegions::eBackwards, Nektar::StdRegions::eForwards, Nektar::SpatialDomains::Geometry::GetGlobalID(), Nektar::SpatialDomains::Geometry::GetVid(), kNedges, Nektar::SpatialDomains::Geometry3D::m_edges, Nektar::SpatialDomains::Geometry3D::m_eorient, and Nektar::SpatialDomains::Geometry3D::m_verts.

Referenced by TetGeom().

◆ SetUpFaceOrientation()

void Nektar::SpatialDomains::TetGeom::SetUpFaceOrientation ( )

private

Definition at line 347 of file TetGeom.cpp.

{
 
    int f, i;
 
    // These arrays represent the vector of the A and B
    // coordinate of the local elemental coordinate system
    // where A corresponds with the coordinate direction xi_i
    // with the lowest index i (for that particular face)
    // Coordinate 'B' then corresponds to the other local
    // coordinate (i.e. with the highest index)
    Array<OneD, NekDouble> elementAaxis(m_coordim);
    Array<OneD, NekDouble> elementBaxis(m_coordim);
 
    // These arrays correspond to the local coordinate
    // system of the face itself (i.e. the Geometry2D)
    // faceAaxis correspond to the xi_0 axis
    // faceBaxis correspond to the xi_1 axis
    Array<OneD, NekDouble> faceAaxis(m_coordim);
    Array<OneD, NekDouble> faceBaxis(m_coordim);
 
    // This is the base vertex of the face (i.e. the Geometry2D)
    // This corresponds to thevertex with local ID 0 of the
    // Geometry2D
    unsigned int baseVertex;
 
    // The lenght of the vectors above
    NekDouble elementAaxis_length;
    NekDouble elementBaxis_length;
    NekDouble faceAaxis_length;
    NekDouble faceBaxis_length;
 
    // This 2D array holds the local id's of all the vertices
    // for every face. For every face, they are ordered in such
    // a way that the implementation below allows a unified approach
    // for all faces.
    const unsigned int faceVerts[kNfaces][TriGeom::kNverts] = {
        {0, 1, 2}, {0, 1, 3}, {1, 2, 3}, {0, 2, 3}};
 
    NekDouble dotproduct1 = 0.0;
    NekDouble dotproduct2 = 0.0;
 
    unsigned int orientation;
 
    // Loop over all the faces to set up the orientation
    for (f = 0; f < kNqfaces + kNtfaces; f++)
    {
        // initialisation
        elementAaxis_length = 0.0;
        elementBaxis_length = 0.0;
        faceAaxis_length    = 0.0;
        faceBaxis_length    = 0.0;
 
        dotproduct1 = 0.0;
        dotproduct2 = 0.0;
 
        baseVertex = m_faces[f]->GetVid(0);
 
        // We are going to construct the vectors representing the A and B axis
        // of every face. These vectors will be constructed as a
        // vector-representation
        // of the edges of the face. However, for both coordinate directions, we
        // can
        // represent the vectors by two different edges. That's why we need to
        // make sure that
        // we pick the edge to which the baseVertex of the
        // Geometry2D-representation of the face
        // belongs...
 
        // Compute the length of edges on a base-face
        if (baseVertex == m_verts[faceVerts[f][0]]->GetGlobalID())
        {
            for (i = 0; i < m_coordim; i++)
            {
                elementAaxis[i] = (*m_verts[faceVerts[f][1]])[i] -
                                  (*m_verts[faceVerts[f][0]])[i];
                elementBaxis[i] = (*m_verts[faceVerts[f][2]])[i] -
                                  (*m_verts[faceVerts[f][0]])[i];
            }
        }
        else if (baseVertex == m_verts[faceVerts[f][1]]->GetGlobalID())
        {
            for (i = 0; i < m_coordim; i++)
            {
                elementAaxis[i] = (*m_verts[faceVerts[f][1]])[i] -
                                  (*m_verts[faceVerts[f][0]])[i];
                elementBaxis[i] = (*m_verts[faceVerts[f][2]])[i] -
                                  (*m_verts[faceVerts[f][1]])[i];
            }
        }
        else if (baseVertex == m_verts[faceVerts[f][2]]->GetGlobalID())
        {
            for (i = 0; i < m_coordim; i++)
            {
                elementAaxis[i] = (*m_verts[faceVerts[f][1]])[i] -
                                  (*m_verts[faceVerts[f][2]])[i];
                elementBaxis[i] = (*m_verts[faceVerts[f][2]])[i] -
                                  (*m_verts[faceVerts[f][0]])[i];
            }
        }
        else
        {
            ASSERTL0(false, "Could not find matching vertex for the face");
        }
 
        // Now, construct the edge-vectors of the local coordinates of
        // the Geometry2D-representation of the face
        for (i = 0; i < m_coordim; i++)
        {
            faceAaxis[i] =
                (*m_faces[f]->GetVertex(1))[i] - (*m_faces[f]->GetVertex(0))[i];
            faceBaxis[i] =
                (*m_faces[f]->GetVertex(2))[i] - (*m_faces[f]->GetVertex(0))[i];
 
            elementAaxis_length += pow(elementAaxis[i], 2);
            elementBaxis_length += pow(elementBaxis[i], 2);
            faceAaxis_length += pow(faceAaxis[i], 2);
            faceBaxis_length += pow(faceBaxis[i], 2);
        }
 
        elementAaxis_length = sqrt(elementAaxis_length);
        elementBaxis_length = sqrt(elementBaxis_length);
        faceAaxis_length    = sqrt(faceAaxis_length);
        faceBaxis_length    = sqrt(faceBaxis_length);
 
        // Calculate the inner product of both the A-axis
        // (i.e. Elemental A axis and face A axis)
        for (i = 0; i < m_coordim; i++)
        {
            dotproduct1 += elementAaxis[i] * faceAaxis[i];
        }
 
        NekDouble norm =
            fabs(dotproduct1) / elementAaxis_length / faceAaxis_length;
        orientation = 0;
 
        // if the innerproduct is equal to the (absolute value of the ) products
        // of the lengths of both vectors, then, the coordinate systems will NOT
        // be transposed
        if (fabs(norm - 1.0) < NekConstants::kNekZeroTol)
        {
            // if the inner product is negative, both A-axis point
            // in reverse direction
            if (dotproduct1 < 0.0)
            {
                orientation += 2;
            }
 
            // calculate the inner product of both B-axis
            for (i = 0; i < m_coordim; i++)
            {
                dotproduct2 += elementBaxis[i] * faceBaxis[i];
            }
 
            norm = fabs(dotproduct2) / elementBaxis_length / faceBaxis_length;
 
            // check that both these axis are indeed parallel
            ASSERTL1(fabs(norm - 1.0) < NekConstants::kNekZeroTol,
                     "These vectors should be parallel");
 
            // if the inner product is negative, both B-axis point
            // in reverse direction
            if (dotproduct2 < 0.0)
            {
                orientation++;
            }
        }
        // The coordinate systems are transposed
        else
        {
            orientation = 4;
 
            // Calculate the inner product between the elemental A-axis
            // and the B-axis of the face (which are now the corresponding axis)
            dotproduct1 = 0.0;
            for (i = 0; i < m_coordim; i++)
            {
                dotproduct1 += elementAaxis[i] * faceBaxis[i];
            }
 
            norm = fabs(dotproduct1) / elementAaxis_length / faceBaxis_length;
 
            // check that both these axis are indeed parallel
            ASSERTL1(fabs(norm - 1.0) < NekConstants::kNekZeroTol,
                     "These vectors should be parallel");
 
            // if the result is negative, both axis point in reverse
            // directions
            if (dotproduct1 < 0.0)
            {
                orientation += 2;
            }
 
            // Do the same for the other two corresponding axis
            dotproduct2 = 0.0;
            for (i = 0; i < m_coordim; i++)
            {
                dotproduct2 += elementBaxis[i] * faceAaxis[i];
            }
 
            norm = fabs(dotproduct2) / elementBaxis_length / faceAaxis_length;
 
            // check that both these axis are indeed parallel
            ASSERTL1(fabs(norm - 1.0) < NekConstants::kNekZeroTol,
                     "These vectors should be parallel");
 
            if (dotproduct2 < 0.0)
            {
                orientation++;
            }
        }
 
        orientation = orientation + 5;
 
        ASSERTL0(orientation < StdRegions::eDir1FwdDir2_Dir2FwdDir1,
                 "Orientation of triangular face (id = " +
                     boost::lexical_cast<string>(m_faces[f]->GetGlobalID()) +
                     ") is inconsistent with face " +
                     boost::lexical_cast<string>(f) + " of tet element (id = " +
                     boost::lexical_cast<string>(m_globalID) +
                     ") since Dir2 is aligned with Dir1. Mesh setup "
                     "needs investigation");
 
        // Fill the m_forient array
        m_forient[f] = (StdRegions::Orientation)orientation;
    }
}

Referenced by TetGeom().

◆ SetUpLocalEdges()

void Nektar::SpatialDomains::TetGeom::SetUpLocalEdges ( )

private

Definition at line 118 of file TetGeom.cpp.

{
 
    // find edge 0
    int i, j;
    unsigned int check;
 
    SegGeomSharedPtr edge;
 
    // First set up the 3 bottom edges
 
    if (m_faces[0]->GetEid(0) != m_faces[1]->GetEid(0))
    {
        std::ostringstream errstrm;
        errstrm << "Local edge 0 (eid=" << m_faces[0]->GetEid(0);
        errstrm << ") on face " << m_faces[0]->GetGlobalID();
        errstrm << " must be the same as local edge 0 (eid="
                << m_faces[1]->GetEid(0);
        errstrm << ") on face " << m_faces[1]->GetGlobalID();
        ASSERTL0(false, errstrm.str());
    }
 
    int faceConnected;
    for (faceConnected = 1; faceConnected < 4; faceConnected++)
    {
        check = 0;
        for (i = 0; i < 3; i++)
        {
            if ((m_faces[0])->GetEid(i) == (m_faces[faceConnected])->GetEid(0))
            {
                edge = dynamic_pointer_cast<SegGeom>((m_faces[0])->GetEdge(i));
                m_edges.push_back(edge);
                check++;
            }
        }
 
        if (check < 1)
        {
            std::ostringstream errstrm;
            errstrm << "Face 0 does not share an edge with first edge of "
                       "adjacent face. Faces ";
            errstrm << (m_faces[0])->GetGlobalID() << ", "
                    << (m_faces[faceConnected])->GetGlobalID();
            ASSERTL0(false, errstrm.str());
        }
        else if (check > 1)
        {
            std::ostringstream errstrm;
            errstrm << "Connected faces share more than one edge. Faces ";
            errstrm << (m_faces[0])->GetGlobalID() << ", "
                    << (m_faces[faceConnected])->GetGlobalID();
            ASSERTL0(false, errstrm.str());
        }
    }
 
    // Then, set up the 3 vertical edges
    check = 0;
    for (i = 0; i < 3; i++) // Set up the vertical edge :face(1) and face(3)
    {
        for (j = 0; j < 3; j++)
        {
            if ((m_faces[1])->GetEid(i) == (m_faces[3])->GetEid(j))
            {
                edge = dynamic_pointer_cast<SegGeom>((m_faces[1])->GetEdge(i));
                m_edges.push_back(edge);
                check++;
            }
        }
    }
    if (check < 1)
    {
        std::ostringstream errstrm;
        errstrm << "Connected faces do not share an edge. Faces ";
        errstrm << (m_faces[1])->GetGlobalID() << ", "
                << (m_faces[3])->GetGlobalID();
        ASSERTL0(false, errstrm.str());
    }
    else if (check > 1)
    {
        std::ostringstream errstrm;
        errstrm << "Connected faces share more than one edge. Faces ";
        errstrm << (m_faces[1])->GetGlobalID() << ", "
                << (m_faces[3])->GetGlobalID();
        ASSERTL0(false, errstrm.str());
    }
    // Set up vertical edges: face(1) through face(3)
    for (faceConnected = 1; faceConnected < 3; faceConnected++)
    {
        check = 0;
        for (i = 0; i < 3; i++)
        {
            for (j = 0; j < 3; j++)
            {
                if ((m_faces[faceConnected])->GetEid(i) ==
                    (m_faces[faceConnected + 1])->GetEid(j))
                {
                    edge = dynamic_pointer_cast<SegGeom>(
                        (m_faces[faceConnected])->GetEdge(i));
                    m_edges.push_back(edge);
                    check++;
                }
            }
        }
 
        if (check < 1)
        {
            std::ostringstream errstrm;
            errstrm << "Connected faces do not share an edge. Faces ";
            errstrm << (m_faces[faceConnected])->GetGlobalID() << ", "
                    << (m_faces[faceConnected + 1])->GetGlobalID();
            ASSERTL0(false, errstrm.str());
        }
        else if (check > 1)
        {
            std::ostringstream errstrm;
            errstrm << "Connected faces share more than one edge. Faces ";
            errstrm << (m_faces[faceConnected])->GetGlobalID() << ", "
                    << (m_faces[faceConnected + 1])->GetGlobalID();
            ASSERTL0(false, errstrm.str());
        }
    }
}

References ASSERTL0, Nektar::SpatialDomains::Geometry::GetEdge(), Nektar::SpatialDomains::Geometry::GetEid(), Nektar::SpatialDomains::Geometry::GetGlobalID(), Nektar::SpatialDomains::Geometry3D::m_edges, and Nektar::SpatialDomains::Geometry3D::m_faces.

Referenced by TetGeom().

◆ SetUpLocalVertices()

void Nektar::SpatialDomains::TetGeom::SetUpLocalVertices ( )

private

Definition at line 241 of file TetGeom.cpp.

{
 
    // Set up the first 2 vertices (i.e. vertex 0,1)
    if ((m_edges[0]->GetVid(0) == m_edges[1]->GetVid(0)) ||
        (m_edges[0]->GetVid(0) == m_edges[1]->GetVid(1)))
    {
        m_verts.push_back(m_edges[0]->GetVertex(1));
        m_verts.push_back(m_edges[0]->GetVertex(0));
    }
    else if ((m_edges[0]->GetVid(1) == m_edges[1]->GetVid(0)) ||
             (m_edges[0]->GetVid(1) == m_edges[1]->GetVid(1)))
    {
        m_verts.push_back(m_edges[0]->GetVertex(0));
        m_verts.push_back(m_edges[0]->GetVertex(1));
    }
    else
    {
        std::ostringstream errstrm;
        errstrm << "Connected edges do not share a vertex. Edges ";
        errstrm << m_edges[0]->GetGlobalID() << ", "
                << m_edges[1]->GetGlobalID();
        ASSERTL0(false, errstrm.str());
    }
 
    // set up the other bottom vertices (i.e. vertex 2)
    for (int i = 1; i < 2; i++)
    {
        if (m_edges[i]->GetVid(0) == m_verts[i]->GetGlobalID())
        {
            m_verts.push_back(m_edges[i]->GetVertex(1));
        }
        else if (m_edges[i]->GetVid(1) == m_verts[i]->GetGlobalID())
        {
            m_verts.push_back(m_edges[i]->GetVertex(0));
        }
        else
        {
            std::ostringstream errstrm;
            errstrm << "Connected edges do not share a vertex. Edges ";
            errstrm << m_edges[i]->GetGlobalID() << ", "
                    << m_edges[i - 1]->GetGlobalID();
            ASSERTL0(false, errstrm.str());
        }
    }
 
    // set up top vertex
    if (m_edges[3]->GetVid(0) == m_verts[0]->GetGlobalID())
    {
        m_verts.push_back(m_edges[3]->GetVertex(1));
    }
    else
    {
        m_verts.push_back(m_edges[3]->GetVertex(0));
    }
 
    // Check the other edges match up.
    int check = 0;
    for (int i = 4; i < 6; ++i)
    {
        if ((m_edges[i]->GetVid(0) == m_verts[i - 3]->GetGlobalID() &&
             m_edges[i]->GetVid(1) == m_verts[3]->GetGlobalID()) ||
            (m_edges[i]->GetVid(1) == m_verts[i - 3]->GetGlobalID() &&
             m_edges[i]->GetVid(0) == m_verts[3]->GetGlobalID()))
        {
            check++;
        }
    }
    if (check != 2)
    {
        std::ostringstream errstrm;
        errstrm << "Connected edges do not share a vertex. Edges ";
        errstrm << m_edges[3]->GetGlobalID() << ", "
                << m_edges[2]->GetGlobalID();
        ASSERTL0(false, errstrm.str());
    }
}

References ASSERTL0, Nektar::SpatialDomains::Geometry::GetGlobalID(), Nektar::SpatialDomains::Geometry::GetVertex(), Nektar::SpatialDomains::Geometry::GetVid(), Nektar::SpatialDomains::Geometry3D::m_edges, and Nektar::SpatialDomains::Geometry3D::m_verts.

Referenced by TetGeom().

◆ SetUpXmap()

void Nektar::SpatialDomains::TetGeom::SetUpXmap ( )

private

Set up the m_xmap object by determining the order of each direction from derived faces.

Definition at line 654 of file TetGeom.cpp.

{
    vector<int> tmp;
    tmp.push_back(m_faces[0]->GetXmap()->GetTraceNcoeffs(0));
    int order0 = *max_element(tmp.begin(), tmp.end());
 
    tmp.clear();
    tmp.push_back(order0);
    tmp.push_back(m_faces[0]->GetXmap()->GetTraceNcoeffs(1));
    tmp.push_back(m_faces[0]->GetXmap()->GetTraceNcoeffs(2));
    int order1 = *max_element(tmp.begin(), tmp.end());
 
    tmp.clear();
    tmp.push_back(order0);
    tmp.push_back(order1);
    tmp.push_back(m_faces[1]->GetXmap()->GetTraceNcoeffs(1));
    tmp.push_back(m_faces[1]->GetXmap()->GetTraceNcoeffs(2));
    tmp.push_back(m_faces[3]->GetXmap()->GetTraceNcoeffs(1));
    int order2 = *max_element(tmp.begin(), tmp.end());
 
    const LibUtilities::BasisKey A(
        LibUtilities::eModified_A, order0,
        LibUtilities::PointsKey(order0 + 1,
                                LibUtilities::eGaussLobattoLegendre));
    const LibUtilities::BasisKey B(
        LibUtilities::eModified_B, order1,
        LibUtilities::PointsKey(order1, LibUtilities::eGaussRadauMAlpha1Beta0));
    const LibUtilities::BasisKey C(
        LibUtilities::eModified_C, order2,
        LibUtilities::PointsKey(order2, LibUtilities::eGaussRadauMAlpha2Beta0));
 
    m_xmap = MemoryManager<StdRegions::StdTetExp>::AllocateSharedPtr(A, B, C);
}

References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), Nektar::LibUtilities::eGaussLobattoLegendre, Nektar::LibUtilities::eModified_A, Nektar::LibUtilities::eModified_B, Nektar::LibUtilities::eModified_C, Nektar::SpatialDomains::Geometry::GetXmap(), Nektar::SpatialDomains::Geometry3D::m_faces, and Nektar::SpatialDomains::Geometry::m_xmap.

Referenced by v_Setup().

◆ v_GenGeomFactors()

void Nektar::SpatialDomains::TetGeom::v_GenGeomFactors ( )

overrideprotectedvirtual

Generate the geometry factors for this element.

Implements Nektar::SpatialDomains::Geometry.

Definition at line 602 of file TetGeom.cpp.

{
    if (!m_setupState)
    {
        TetGeom::v_Setup();
    }
 
    if (m_geomFactorsState != ePtsFilled)
    {
        GeomType Gtype = eRegular;
 
        v_FillGeom();
 
        // check to see if expansions are linear
        m_straightEdge = 1;
        if (m_xmap->GetBasisNumModes(0) != 2 ||
            m_xmap->GetBasisNumModes(1) != 2 ||
            m_xmap->GetBasisNumModes(2) != 2)
        {
            Gtype          = eDeformed;
            m_straightEdge = 0;
        }
 
        if (Gtype == eRegular)
        {
            m_isoParameter = Array<OneD, Array<OneD, NekDouble>>(3);
            for (int i = 0; i < 3; ++i)
            {
                m_isoParameter[i]    = Array<OneD, NekDouble>(4, 0.);
                NekDouble A          = (*m_verts[0])(i);
                NekDouble B          = (*m_verts[1])(i);
                NekDouble C          = (*m_verts[2])(i);
                NekDouble D          = (*m_verts[3])(i);
                m_isoParameter[i][0] = 0.5 * (-A + B + C + D);
 
                m_isoParameter[i][1] = 0.5 * (-A + B); // xi1
                m_isoParameter[i][2] = 0.5 * (-A + C); // xi2
                m_isoParameter[i][3] = 0.5 * (-A + D); // xi3
            }
            v_CalculateInverseIsoParam();
        }
 
        m_geomFactors = MemoryManager<GeomFactors>::AllocateSharedPtr(
            Gtype, m_coordim, m_xmap, m_coeffs);
        m_geomFactorsState = ePtsFilled;
    }
}

◆ v_GetDir()

int Nektar::SpatialDomains::TetGeom::v_GetDir	(	const int	i,
		const int	j
	)		const

overrideprotectedvirtual

Returns the element coordinate direction corresponding to a given face coordinate direction.

Reimplemented from Nektar::SpatialDomains::Geometry.

Definition at line 82 of file TetGeom.cpp.

{
    if (faceidx == 0)
    {
        return facedir;
    }
    else if (faceidx == 1)
    {
        return 2 * facedir;
    }
    else
    {
        return 1 + facedir;
    }
}

◆ v_GetEdgeFaceMap()

int Nektar::SpatialDomains::TetGeom::v_GetEdgeFaceMap	(	const int	i,
		const int	j
	)		const

overrideprotectedvirtual

Returns the standard element edge IDs that are connected to a given face.

For example, on a prism, edge 0 is connnected to faces 0 and 1; GetEdgeFaceMap(0,j) would therefore return the values 0 and 1 respectively. We assume that j runs between 0 and 1 inclusive, since every face is connected to precisely two faces for all 3D elements.

This function is used in the construction of the low-energy preconditioner.

Parameters

i	The edge to query connectivity for.
j	The local face index between 0 and 1 connected to this element.

See also: MultiRegions::PreconditionerLowEnergy

Reimplemented from Nektar::SpatialDomains::Geometry.

Definition at line 108 of file TetGeom.cpp.

{
    return EdgeFaceConnectivity[i][j];
}

References EdgeFaceConnectivity.

◆ v_GetEdgeNormalToFaceVert()

int Nektar::SpatialDomains::TetGeom::v_GetEdgeNormalToFaceVert	(	const int	i,
		const int	j
	)		const

overrideprotectedvirtual

Returns the standard lement edge IDs that are normal to a given face vertex.

For example, on a hexahedron, on face 0 at vertices 0,1,2,3 the edges normal to that face are 4,5,6,7, ; so GetEdgeNormalToFaceVert(0,j) would therefore return the values 4, 5, 6 and 7 respectively. We assume that j runs between 0 and 3 inclusive on a quadrilateral face and between 0 and 2 inclusive on a triangular face.

This is used to help set up a length scale normal to an face

Parameters

i	The face to query for the normal edge
j	The local vertex index between 0 and nverts on this face

Reimplemented from Nektar::SpatialDomains::Geometry.

Definition at line 113 of file TetGeom.cpp.

{
    return EdgeNormalToFaceVert[i][j];
}

References EdgeNormalToFaceVert.

◆ v_GetVertexEdgeMap()

int Nektar::SpatialDomains::TetGeom::v_GetVertexEdgeMap	(	const int	i,
		const int	j
	)		const

overrideprotectedvirtual

Returns the standard element edge IDs that are connected to a given vertex.

For example, on a prism, vertex 0 is connnected to edges 0, 3, and 4; GetVertexEdgeMap(0,j) would therefore return the values 0, 1 and 4 respectively. We assume that j runs between 0 and 2 inclusive, which is true for every 3D element asides from the pyramid.

This function is used in the construction of the low-energy preconditioner.

Parameters

i	The vertex to query connectivity for.
j	The local edge index between 0 and 2 connected to this element.

Todo:: Expand to work with pyramid elements.

See also: MultiRegions::PreconditionerLowEnergy

Reimplemented from Nektar::SpatialDomains::Geometry.

Definition at line 98 of file TetGeom.cpp.

{
    return VertexEdgeConnectivity[i][j];
}

References VertexEdgeConnectivity.

◆ v_GetVertexFaceMap()

int Nektar::SpatialDomains::TetGeom::v_GetVertexFaceMap	(	const int	i,
		const int	j
	)		const

overrideprotectedvirtual

Returns the standard element face IDs that are connected to a given vertex.

For example, on a hexahedron, vertex 0 is connnected to faces 0, 1, and 4; GetVertexFaceMap(0,j) would therefore return the values 0, 1 and 4 respectively. We assume that j runs between 0 and 2 inclusive, which is true for every 3D element asides from the pyramid.

This is used in the construction of the low-energy preconditioner.

Parameters

i	The vertex to query connectivity for.
j	The local face index between 0 and 2 connected to this element.

Todo:: Expand to work with pyramid elements.

See also: MultiRegions::PreconditionerLowEnergy

Reimplemented from Nektar::SpatialDomains::Geometry.

Definition at line 103 of file TetGeom.cpp.

{
    return VertexFaceConnectivity[i][j];
}

References VertexFaceConnectivity.

◆ v_Reset()

void Nektar::SpatialDomains::TetGeom::v_Reset	(	CurveMap &	curvedEdges,
		CurveMap &	curvedFaces
	)

overrideprotectedvirtual

Reset this geometry object: unset the current state, zero Geometry::m_coeffs and remove allocated GeomFactors.

Reimplemented from Nektar::SpatialDomains::Geometry.

Definition at line 575 of file TetGeom.cpp.

{
    Geometry::v_Reset(curvedEdges, curvedFaces);
 
    for (int i = 0; i < 4; ++i)
    {
        m_faces[i]->Reset(curvedEdges, curvedFaces);
    }
}

References Nektar::SpatialDomains::Geometry3D::m_faces, and Nektar::SpatialDomains::Geometry::v_Reset().

◆ v_Setup()

void Nektar::SpatialDomains::TetGeom::v_Setup ( )

overrideprotectedvirtual

Reimplemented from Nektar::SpatialDomains::Geometry.

Definition at line 585 of file TetGeom.cpp.

{
    if (!m_setupState)
    {
        for (int i = 0; i < 4; ++i)
        {
            m_faces[i]->Setup();
        }
        SetUpXmap();
        SetUpCoeffs(m_xmap->GetNcoeffs());
        m_setupState = true;
    }
}

References Nektar::SpatialDomains::Geometry3D::m_faces, Nektar::SpatialDomains::Geometry::m_setupState, Nektar::SpatialDomains::Geometry::m_xmap, Nektar::SpatialDomains::Geometry::SetUpCoeffs(), and SetUpXmap().

Referenced by v_GenGeomFactors().

Member Data Documentation

◆ EdgeFaceConnectivity

const unsigned int Nektar::SpatialDomains::TetGeom::EdgeFaceConnectivity

staticprivate

Initial value:

= {

{0, 1}, {0, 2}, {0, 3}, {1, 3}, {1, 2}, {2, 3}}

Definition at line 78 of file TetGeom.h.

Referenced by v_GetEdgeFaceMap().

◆ EdgeNormalToFaceVert

const unsigned int Nektar::SpatialDomains::TetGeom::EdgeNormalToFaceVert

staticprivate

Initial value:

= {

{3, 4, 5}, {1, 2, 5}, {0, 2, 3}, {0, 1, 4}}

Definition at line 79 of file TetGeom.h.

Referenced by v_GetEdgeNormalToFaceVert().

◆ kNedges

const int Nektar::SpatialDomains::TetGeom::kNedges = 6

static

Definition at line 53 of file TetGeom.h.

Referenced by SetUpEdgeOrientation(), and TetGeom().

◆ kNfaces

const int Nektar::SpatialDomains::TetGeom::kNfaces = kNqfaces + kNtfaces

static

Definition at line 56 of file TetGeom.h.

Referenced by Nektar::SpatialDomains::MeshGraphIOHDF5::ConstructGeomObject(), SetUpFaceOrientation(), TetGeom(), and Nektar::SpatialDomains::MeshGraphIOXml::v_ReadElements3D().

◆ kNqfaces

const int Nektar::SpatialDomains::TetGeom::kNqfaces = 0

static

Definition at line 54 of file TetGeom.h.

Referenced by SetUpFaceOrientation(), and Nektar::SpatialDomains::MeshGraphIOXml::v_ReadElements3D().

◆ kNtfaces

const int Nektar::SpatialDomains::TetGeom::kNtfaces = 4

static

Definition at line 55 of file TetGeom.h.

Referenced by SetUpFaceOrientation(), and Nektar::SpatialDomains::MeshGraphIOXml::v_ReadElements3D().

◆ kNverts

const int Nektar::SpatialDomains::TetGeom::kNverts = 4

static

Definition at line 52 of file TetGeom.h.

◆ VertexEdgeConnectivity

const unsigned int Nektar::SpatialDomains::TetGeom::VertexEdgeConnectivity

staticprivate

Initial value:

= {

{0, 2, 3}, {0, 1, 4}, {1, 2, 5}, {3, 4, 5}}

Definition at line 76 of file TetGeom.h.

Referenced by v_GetVertexEdgeMap().

◆ VertexFaceConnectivity

const unsigned int Nektar::SpatialDomains::TetGeom::VertexFaceConnectivity

staticprivate

Initial value:

= {

{0, 1, 3}, {0, 1, 2}, {0, 2, 3}, {1, 2, 3}}

Definition at line 77 of file TetGeom.h.

Referenced by v_GetVertexFaceMap().

◆ XMLElementType

const std::string Nektar::SpatialDomains::TetGeom::XMLElementType

static

Definition at line 57 of file TetGeom.h.

Public Member Functions

Static Public Attributes

Protected Member Functions

Private Member Functions

Static Private Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ TetGeom() [1/2]

◆ TetGeom() [2/2]

◆ ~TetGeom()

Member Function Documentation

◆ SetUpEdgeOrientation()

◆ SetUpFaceOrientation()

◆ SetUpLocalEdges()

◆ SetUpLocalVertices()

◆ SetUpXmap()

◆ v_GenGeomFactors()

◆ v_GetDir()

◆ v_GetEdgeFaceMap()

◆ v_GetEdgeNormalToFaceVert()

◆ v_GetVertexEdgeMap()

◆ v_GetVertexFaceMap()

◆ v_Reset()

◆ v_Setup()

Member Data Documentation

◆ EdgeFaceConnectivity

◆ EdgeNormalToFaceVert

◆ kNedges

◆ kNfaces

◆ kNqfaces

◆ kNtfaces

◆ kNverts

◆ VertexEdgeConnectivity

◆ VertexFaceConnectivity

◆ XMLElementType