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Nektar::SpatialDomains::HexGeom Class Reference

#include <HexGeom.h>

Inheritance diagram for Nektar::SpatialDomains::HexGeom:
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Public Member Functions

 HexGeom ()
 
 HexGeom (const QuadGeomSharedPtr faces[])
 
 ~HexGeom ()
 
- Public Member Functions inherited from Nektar::SpatialDomains::Geometry3D
 Geometry3D ()
 
 Geometry3D (const int coordim)
 
virtual ~Geometry3D ()
 
int GetEid (int i) const
 Return the ID of edge i in this element. More...
 
const Geometry1DSharedPtr GetEdge (int i) const
 
Geometry2DSharedPtr GetFace (int i)
 Return face i in this element. More...
 
int GetDir (const int faceidx, const int facedir) const
 Returns the element coordinate direction corresponding to a given face coordinate direction. More...
 
- Public Member Functions inherited from Nektar::SpatialDomains::Geometry
 Geometry ()
 
 Geometry (int coordim)
 
virtual ~Geometry ()
 
bool IsElmtConnected (int gvo_id, int locid) const
 
void AddElmtConnected (int gvo_id, int locid)
 
int NumElmtConnected () const
 
int GetCoordim () const
 
void SetCoordim (int coordim)
 
GeomFactorsSharedPtr GetGeomFactors ()
 
GeomFactorsSharedPtr GetRefGeomFactors (const Array< OneD, const LibUtilities::BasisSharedPtr > &tbasis)
 
GeomFactorsSharedPtr GetMetricInfo ()
 
LibUtilities::ShapeType GetShapeType (void)
 
int GetGlobalID (void)
 
void SetGlobalID (int globalid)
 
int GetVid (int i) const
 
int GetEid (int i) const
 
int GetFid (int i) const
 
int GetTid (int i) const
 
int GetNumVerts () const
 
PointGeomSharedPtr GetVertex (int i) const
 
StdRegions::Orientation GetEorient (const int i) const
 
StdRegions::Orientation GetPorient (const int i) const
 
StdRegions::Orientation GetForient (const int i) const
 
int GetNumEdges () const
 
int GetNumFaces () const
 
int GetShapeDim () const
 
StdRegions::StdExpansionSharedPtr GetXmap () const
 
const Array< OneD, const
NekDouble > & 		GetCoeffs (const int i) const
 
bool ContainsPoint (const Array< OneD, const NekDouble > &gloCoord, NekDouble tol=0.0)
 
bool ContainsPoint (const Array< OneD, const NekDouble > &gloCoord, Array< OneD, NekDouble > &locCoord, NekDouble tol)
 
bool ContainsPoint (const Array< OneD, const NekDouble > &gloCoord, Array< OneD, NekDouble > &locCoord, NekDouble tol, NekDouble &resid)
 
int GetVertexEdgeMap (int i, int j) const
 
int GetVertexFaceMap (int i, int j) const
 return the id of the $j^{th}$ face attached to the $ i^{th}$ vertex More...
 
int GetEdgeFaceMap (int i, int j) const
 
void FillGeom ()
 Put all quadrature information into face/edge structure and backward transform. More...
 
NekDouble GetLocCoords (const Array< OneD, const NekDouble > &coords, Array< OneD, NekDouble > &Lcoords)
 
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...
 
void SetOwnData ()
 
const LibUtilities::BasisSharedPtr GetBasis (const int i)
 Return the j-th basis of the i-th co-ordinate dimension. More...
 
const LibUtilities::PointsKeyVector GetPointsKeys ()
 
void Reset (CurveMap &curvedEdges, CurveMap &curvedFaces)
 

Static Public Attributes

static const int kNverts = 8
 
static const int kNedges = 12
 
static const int kNqfaces = 6
 
static const int kNtfaces = 0
 
static const int kNfaces = kNqfaces + kNtfaces
 
static const std::string XMLElementType
 

Protected Member Functions

virtual void v_GenGeomFactors ()
 
virtual NekDouble v_GetLocCoords (const Array< OneD, const NekDouble > &coords, Array< OneD, NekDouble > &Lcoords)
 
virtual bool v_ContainsPoint (const Array< OneD, const NekDouble > &gloCoord, NekDouble tol=0.0)
 Determines if a point specified in global coordinates is located within this tetrahedral geometry. More...
 
virtual bool v_ContainsPoint (const Array< OneD, const NekDouble > &gloCoord, Array< OneD, NekDouble > &locCoord, NekDouble tol)
 
virtual bool v_ContainsPoint (const Array< OneD, const NekDouble > &gloCoord, Array< OneD, NekDouble > &locCoord, NekDouble tol, NekDouble &resid)
 
virtual int v_GetNumVerts () const
 
virtual int v_GetNumEdges () const
 
virtual int v_GetNumFaces () const
 
virtual int v_GetVertexEdgeMap (const int i, const int j) const
 
virtual int v_GetVertexFaceMap (const int i, const int j) const
 
virtual int v_GetEdgeFaceMap (const int i, const int j) const
 
virtual int v_GetDir (const int faceidx, const int facedir) const
 
virtual void v_Reset (CurveMap &curvedEdges, CurveMap &curvedFaces)
 Reset this geometry object: unset the current state and remove allocated GeomFactors. More...
 
- Protected Member Functions inherited from Nektar::SpatialDomains::Geometry3D
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 &resid)
 
virtual void v_FillGeom ()
 Put all quadrature information into face/edge structure and backward transform. More...
 
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 int v_GetShapeDim () const
 Return the dimension of this element. More...
 
virtual int v_GetVid (int i) const
 Return the vertex ID of vertex i. More...
 
virtual PointGeomSharedPtr v_GetVertex (int i) const
 Return vertex i in this element. More...
 
virtual const SegGeomSharedPtr v_GetEdge (int i) const
 Return edge i of this element. More...
 
virtual StdRegions::Orientation v_GetEorient (const int i) const
 Return the orientation of edge i in this element. More...
 
virtual int v_GetEid (int i) const
 Return the ID of edge i in this element. More...
 
virtual const Geometry2DSharedPtr v_GetFace (int i) const
 Return face i in this element. More...
 
virtual StdRegions::Orientation v_GetForient (const int i) const
 Return the orientation of face i in this element. More...
 
virtual int v_GetFid (int i) const
 Return the ID of face i in this element. More...
 
virtual int v_GetEid () const
 Return the ID of this element. More...
 
virtual int v_WhichEdge (SegGeomSharedPtr edge)
 Return the local ID of a given edge. More...
 
virtual int v_WhichFace (Geometry2DSharedPtr face)
 Return the local ID of a given face. More...
 
virtual const
LibUtilities::BasisSharedPtr 		v_GetBasis (const int i)
 Return the j-th basis of the i-th co-ordinate dimension. More...
 
virtual void v_AddElmtConnected (int gvo_id, int locid)
 
virtual bool v_IsElmtConnected (int gvo_id, int locid) const
 
virtual int v_NumElmtConnected () const
 
virtual void v_SetOwnData ()
 
- Protected Member Functions inherited from Nektar::SpatialDomains::Geometry
void GenGeomFactors ()
 
virtual StdRegions::Orientation v_GetPorient (const int i) const
 
virtual
StdRegions::StdExpansionSharedPtr 		v_GetXmap () const
 
virtual int v_GetCoordim () const
 
void SetUpCoeffs (const int nCoeffs)
 Initialise the m_coeffs array. More...
 

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 [8][3]
 
static const unsigned int VertexFaceConnectivity [8][3]
 
static const unsigned int EdgeFaceConnectivity [12][2]
 

Additional Inherited Members

- Static Protected Member Functions inherited from Nektar::SpatialDomains::Geometry
static GeomFactorsSharedPtr ValidateRegGeomFactor (GeomFactorsSharedPtr geomFactor)
 
- 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
 
std::list< CompToElmt > m_elmtmap
 
bool m_owndata
 
int m_eid
 
bool m_ownverts
 
- Protected Attributes inherited from Nektar::SpatialDomains::Geometry
int m_coordim
 coordinate dimension More...
 
GeomFactorsSharedPtr m_geomFactors
 
GeomState m_geomFactorsState
 
StdRegions::StdExpansionSharedPtr m_xmap
 
GeomState m_state
 enum identifier to determine if quad points are filled More...
 
GeomType m_geomType
 
LibUtilities::ShapeType m_shapeType
 
int m_globalID
 
Array< OneD, Array< OneD,
NekDouble > > 		m_coeffs
 
- Static Protected Attributes inherited from Nektar::SpatialDomains::Geometry
static GeomFactorsVector m_regGeomFactorsManager
 

Detailed Description

Definition at line 47 of file HexGeom.h.

Constructor & Destructor Documentation

Nektar::SpatialDomains::HexGeom::HexGeom ( )

Definition at line 58 of file HexGeom.cpp.

References Nektar::LibUtilities::eHexahedron.

59  {
60  m_shapeType = LibUtilities::eHexahedron;
61  }
Nektar::SpatialDomains::Geometry::m_shapeType
LibUtilities::ShapeType m_shapeType
Definition: Geometry.h:177
Nektar::SpatialDomains::HexGeom::HexGeom ( const QuadGeomSharedPtr  faces[])

Copy the face shared pointers

Set up orientation vectors with correct amount of elements.

Definition at line 63 of file HexGeom.cpp.

References Nektar::LibUtilities::eHexahedron, kNedges, kNfaces, Nektar::SpatialDomains::Geometry3D::m_eorient, Nektar::SpatialDomains::Geometry3D::m_faces, Nektar::SpatialDomains::Geometry3D::m_forient, Nektar::SpatialDomains::Geometry::m_shapeType, Nektar::SpatialDomains::Geometry::m_xmap, Nektar::SpatialDomains::Geometry::SetUpCoeffs(), SetUpEdgeOrientation(), SetUpFaceOrientation(), SetUpLocalEdges(), SetUpLocalVertices(), and SetUpXmap().

63  :
64  Geometry3D(faces[0]->GetEdge(0)->GetVertex(0)->GetCoordim())
65  {
66  m_shapeType = LibUtilities::eHexahedron;
67 
68  /// Copy the face shared pointers
69  m_faces.insert(m_faces.begin(), faces, faces+HexGeom::kNfaces);
70 
71  /// Set up orientation vectors with correct amount of elements.
72  m_eorient.resize(kNedges);
73  m_forient.resize(kNfaces);
74 
75  SetUpLocalEdges();
76  SetUpLocalVertices();
77  SetUpEdgeOrientation();
78  SetUpFaceOrientation();
79  SetUpXmap();
80  SetUpCoeffs(m_xmap->GetNcoeffs());
81  }
Nektar::SpatialDomains::Geometry::m_xmap
StdRegions::StdExpansionSharedPtr m_xmap
Definition: Geometry.h:172
Nektar::SpatialDomains::HexGeom::SetUpXmap
void SetUpXmap()
Set up the m_xmap object by determining the order of each direction from derived faces.
Definition: HexGeom.cpp:875
Nektar::SpatialDomains::Geometry3D::m_eorient
std::vector< StdRegions::Orientation > m_eorient
Definition: Geometry3D.h:92
Nektar::SpatialDomains::HexGeom::kNfaces
static const int kNfaces
Definition: HexGeom.h:64
Nektar::SpatialDomains::Geometry3D::m_forient
std::vector< StdRegions::Orientation > m_forient
Definition: Geometry3D.h:93
Nektar::SpatialDomains::Geometry::GetVertex
PointGeomSharedPtr GetVertex(int i) const
Definition: Geometry.h:348
Nektar::SpatialDomains::Geometry3D::GetEdge
const Geometry1DSharedPtr GetEdge(int i) const
Nektar::SpatialDomains::Geometry::m_shapeType
LibUtilities::ShapeType m_shapeType
Definition: Geometry.h:177
Nektar::SpatialDomains::Geometry::SetUpCoeffs
void SetUpCoeffs(const int nCoeffs)
Initialise the m_coeffs array.
Definition: Geometry.h:484
Nektar::SpatialDomains::HexGeom::kNedges
static const int kNedges
Definition: HexGeom.h:61
Nektar::SpatialDomains::HexGeom::~HexGeom ( )

Definition at line 83 of file HexGeom.cpp.

84  {
85 
86  }

Member Function Documentation

void Nektar::SpatialDomains::HexGeom::SetUpEdgeOrientation ( )
private

Definition at line 818 of file HexGeom.cpp.

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

Referenced by HexGeom().

819  {
820 
821  // This 2D array holds the local id's of all the vertices
822  // for every edge. For every edge, they are ordered to what we
823  // define as being Forwards
824  const unsigned int edgeVerts[kNedges][2] =
825  { {0,1} ,
826  {1,2} ,
827  {2,3} ,
828  {3,0} ,
829  {0,4} ,
830  {1,5} ,
831  {2,6} ,
832  {3,7} ,
833  {4,5} ,
834  {5,6} ,
835  {6,7} ,
836  {7,4} };
837 
838  int i;
839  for(i = 0; i < kNedges; i++)
840  {
841  if( m_edges[i]->GetVid(0) == m_verts[ edgeVerts[i][0] ]->GetVid() )
842  {
843  m_eorient[i] = StdRegions::eForwards;
844  }
845  else if( m_edges[i]->GetVid(0) == m_verts[ edgeVerts[i][1] ]->GetVid() )
846  {
847  m_eorient[i] = StdRegions::eBackwards;
848  }
849  else
850  {
851  ASSERTL0(false,"Could not find matching vertex for the edge");
852  }
853  }
854  }
ASSERTL0
#define ASSERTL0(condition, msg)
Definition: ErrorUtil.hpp:188
Nektar::SpatialDomains::Geometry3D::m_eorient
std::vector< StdRegions::Orientation > m_eorient
Definition: Geometry3D.h:92
Nektar::SpatialDomains::Geometry::GetVid
int GetVid(int i) const
Definition: Geometry.h:319
Nektar::SpatialDomains::HexGeom::kNedges
static const int kNedges
Definition: HexGeom.h:61
void Nektar::SpatialDomains::HexGeom::SetUpFaceOrientation ( )
private

Definition at line 609 of file HexGeom.cpp.

References ASSERTL0, ASSERTL1, Nektar::SpatialDomains::Geometry::GetVertex(), Nektar::SpatialDomains::Geometry::GetVid(), Nektar::NekConstants::kNekZeroTol, kNfaces, kNqfaces, kNtfaces, Nektar::SpatialDomains::QuadGeom::kNverts, Nektar::SpatialDomains::Geometry::m_coordim, Nektar::SpatialDomains::Geometry3D::m_faces, Nektar::SpatialDomains::Geometry3D::m_forient, and Nektar::SpatialDomains::Geometry3D::m_verts.

Referenced by HexGeom().

610  {
611  int f,i;
612 
613  // These arrays represent the vector of the A and B
614  // coordinate of the local elemental coordinate system
615  // where A corresponds with the coordinate direction xi_i
616  // with the lowest index i (for that particular face)
617  // Coordinate 'B' then corresponds to the other local
618  // coordinate (i.e. with the highest index)
619  Array<OneD,NekDouble> elementAaxis(m_coordim);
620  Array<OneD,NekDouble> elementBaxis(m_coordim);
621 
622  // These arrays correspond to the local coordinate
623  // system of the face itself (i.e. the Geometry2D)
624  // faceAaxis correspond to the xi_0 axis
625  // faceBaxis correspond to the xi_1 axis
626  Array<OneD,NekDouble> faceAaxis(m_coordim);
627  Array<OneD,NekDouble> faceBaxis(m_coordim);
628 
629  // This is the base vertex of the face (i.e. the Geometry2D)
630  // This corresponds to thevertex with local ID 0 of the
631  // Geometry2D
632  unsigned int baseVertex;
633 
634  // The lenght of the vectors above
635  NekDouble elementAaxis_length;
636  NekDouble elementBaxis_length;
637  NekDouble faceAaxis_length;
638  NekDouble faceBaxis_length;
639 
640  // This 2D array holds the local id's of all the vertices
641  // for every face. For every face, they are ordered in such
642  // a way that the implementation below allows a unified approach
643  // for all faces.
644  const unsigned int faceVerts[kNfaces][QuadGeom::kNverts] =
645  { {0,1,2,3} ,
646  {0,1,5,4} ,
647  {1,2,6,5} ,
648  {3,2,6,7} ,
649  {0,3,7,4} ,
650  {4,5,6,7} };
651 
652  NekDouble dotproduct1 = 0.0;
653  NekDouble dotproduct2 = 0.0;
654 
655  unsigned int orientation;
656 
657  // Loop over all the faces to set up the orientation
658  for(f = 0; f < kNqfaces + kNtfaces; f++)
659  {
660  // initialisation
661  elementAaxis_length = 0.0;
662  elementBaxis_length = 0.0;
663  faceAaxis_length = 0.0;
664  faceBaxis_length = 0.0;
665 
666  dotproduct1 = 0.0;
667  dotproduct2 = 0.0;
668 
669  baseVertex = m_faces[f]->GetVid(0);
670 
671  // We are going to construct the vectors representing the A and B axis
672  // of every face. These vectors will be constructed as a vector-representation
673  // of the edges of the face. However, for both coordinate directions, we can
674  // represent the vectors by two different edges. That's why we need to make sure that
675  // we pick the edge to which the baseVertex of the Geometry2D-representation of the face
676  // belongs...
677  if( baseVertex == m_verts[ faceVerts[f][0] ]->GetVid() )
678  {
679  for(i = 0; i < m_coordim; i++)
680  {
681  elementAaxis[i] = (*m_verts[ faceVerts[f][1] ])[i] - (*m_verts[ faceVerts[f][0] ])[i];
682  elementBaxis[i] = (*m_verts[ faceVerts[f][3] ])[i] - (*m_verts[ faceVerts[f][0] ])[i];
683  }
684  }
685  else if( baseVertex == m_verts[ faceVerts[f][1] ]->GetVid() )
686  {
687  for(i = 0; i < m_coordim; i++)
688  {
689  elementAaxis[i] = (*m_verts[ faceVerts[f][1] ])[i] - (*m_verts[ faceVerts[f][0] ])[i];
690  elementBaxis[i] = (*m_verts[ faceVerts[f][2] ])[i] - (*m_verts[ faceVerts[f][1] ])[i];
691  }
692  }
693  else if( baseVertex == m_verts[ faceVerts[f][2] ]->GetVid() )
694  {
695  for(i = 0; i < m_coordim; i++)
696  {
697  elementAaxis[i] = (*m_verts[ faceVerts[f][2] ])[i] - (*m_verts[ faceVerts[f][3] ])[i];
698  elementBaxis[i] = (*m_verts[ faceVerts[f][2] ])[i] - (*m_verts[ faceVerts[f][1] ])[i];
699  }
700  }
701  else if( baseVertex == m_verts[ faceVerts[f][3] ]->GetVid() )
702  {
703  for(i = 0; i < m_coordim; i++)
704  {
705  elementAaxis[i] = (*m_verts[ faceVerts[f][2] ])[i] - (*m_verts[ faceVerts[f][3] ])[i];
706  elementBaxis[i] = (*m_verts[ faceVerts[f][3] ])[i] - (*m_verts[ faceVerts[f][0] ])[i];
707  }
708  }
709  else
710  {
711  ASSERTL0(false, "Could not find matching vertex for the face");
712  }
713 
714  // Now, construct the edge-vectors of the local coordinates of
715  // the Geometry2D-representation of the face
716  for(i = 0; i < m_coordim; i++)
717  {
718  faceAaxis[i] = (*m_faces[f]->GetVertex(1))[i] - (*m_faces[f]->GetVertex(0))[i];
719  faceBaxis[i] = (*m_faces[f]->GetVertex(3))[i] - (*m_faces[f]->GetVertex(0))[i];
720 
721  elementAaxis_length += pow(elementAaxis[i],2);
722  elementBaxis_length += pow(elementBaxis[i],2);
723  faceAaxis_length += pow(faceAaxis[i],2);
724  faceBaxis_length += pow(faceBaxis[i],2);
725  }
726 
727  elementAaxis_length = sqrt(elementAaxis_length);
728  elementBaxis_length = sqrt(elementBaxis_length);
729  faceAaxis_length = sqrt(faceAaxis_length);
730  faceBaxis_length = sqrt(faceBaxis_length);
731 
732  // Calculate the inner product of both the A-axis
733  // (i.e. Elemental A axis and face A axis)
734  for(i = 0 ; i < m_coordim; i++)
735  {
736  dotproduct1 += elementAaxis[i]*faceAaxis[i];
737  }
738 
739  orientation = 0;
740  // if the innerproduct is equal to the (absolute value of the ) products of the lengths
741  // of both vectors, then, the coordinate systems will NOT be transposed
742  if( fabs(elementAaxis_length*faceAaxis_length - fabs(dotproduct1)) < NekConstants::kNekZeroTol )
743  {
744  // if the inner product is negative, both A-axis point
745  // in reverse direction
746  if(dotproduct1 < 0.0)
747  {
748  orientation += 2;
749  }
750 
751  // calculate the inner product of both B-axis
752  for(i = 0 ; i < m_coordim; i++)
753  {
754  dotproduct2 += elementBaxis[i]*faceBaxis[i];
755  }
756 
757  // check that both these axis are indeed parallel
758  ASSERTL1(fabs(elementBaxis_length*faceBaxis_length - fabs(dotproduct2)) <
759  NekConstants::kNekZeroTol,
760  "These vectors should be parallel");
761 
762  // if the inner product is negative, both B-axis point
763  // in reverse direction
764  if( dotproduct2 < 0.0 )
765  {
766  orientation++;
767  }
768  }
769  // The coordinate systems are transposed
770  else
771  {
772  orientation = 4;
773 
774  // Calculate the inner product between the elemental A-axis
775  // and the B-axis of the face (which are now the corresponding axis)
776  dotproduct1 = 0.0;
777  for(i = 0 ; i < m_coordim; i++)
778  {
779  dotproduct1 += elementAaxis[i]*faceBaxis[i];
780  }
781 
782  // check that both these axis are indeed parallel
783  ASSERTL1(fabs(elementAaxis_length*faceBaxis_length - fabs(dotproduct1)) <
784  NekConstants::kNekZeroTol,
785  "These vectors should be parallel");
786 
787  // if the result is negative, both axis point in reverse
788  // directions
789  if(dotproduct1 < 0.0)
790  {
791  orientation += 2;
792  }
793 
794  // Do the same for the other two corresponding axis
795  dotproduct2 = 0.0;
796  for(i = 0 ; i < m_coordim; i++)
797  {
798  dotproduct2 += elementBaxis[i]*faceAaxis[i];
799  }
800 
801  // check that both these axis are indeed parallel
802  ASSERTL1(fabs(elementBaxis_length*faceAaxis_length - fabs(dotproduct2)) <
803  NekConstants::kNekZeroTol,
804  "These vectors should be parallel");
805 
806  if( dotproduct2 < 0.0 )
807  {
808  orientation++;
809  }
810  }
811 
812  orientation = orientation + 5;
813  // Fill the m_forient array
814  m_forient[f] = (StdRegions::Orientation) orientation;
815  }
816  }
ASSERTL0
#define ASSERTL0(condition, msg)
Definition: ErrorUtil.hpp:188
Nektar::SpatialDomains::HexGeom::kNtfaces
static const int kNtfaces
Definition: HexGeom.h:63
Nektar::SpatialDomains::HexGeom::kNfaces
static const int kNfaces
Definition: HexGeom.h:64
Nektar::SpatialDomains::Geometry3D::m_forient
std::vector< StdRegions::Orientation > m_forient
Definition: Geometry3D.h:93
Nektar::NekConstants::kNekZeroTol
static const NekDouble kNekZeroTol
Definition: NektarUnivConsts.hpp:51
Nektar::NekDouble
double NekDouble
Definition: NektarUnivTypeDefs.hpp:44
Nektar::SpatialDomains::Geometry::GetVertex
PointGeomSharedPtr GetVertex(int i) const
Definition: Geometry.h:348
Nektar::SpatialDomains::Geometry::GetVid
int GetVid(int i) const
Definition: Geometry.h:319
Nektar::SpatialDomains::HexGeom::kNqfaces
static const int kNqfaces
Definition: HexGeom.h:62
ASSERTL1
#define ASSERTL1(condition, msg)
Assert Level 1 – Debugging which is used whether in FULLDEBUG or DEBUG compilation mode...
Definition: ErrorUtil.hpp:218
Nektar::SpatialDomains::Geometry::m_coordim
int m_coordim
coordinate dimension
Definition: Geometry.h:169
void Nektar::SpatialDomains::HexGeom::SetUpLocalEdges ( )
private

Definition at line 386 of file HexGeom.cpp.

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

Referenced by HexGeom().

387  {
388  // find edge 0
389  int i,j;
390  unsigned int check;
391 
392  SegGeomSharedPtr edge;
393 
394  // First set up the 4 bottom edges
395  int f;
396  for(f = 1; f < 5 ; f++)
397  {
398  check = 0;
399  for(i = 0; i < 4; i++)
400  {
401  for(j = 0; j < 4; j++)
402  {
403  if( (m_faces[0])->GetEid(i) == (m_faces[f])->GetEid(j) )
404  {
405  edge = boost::dynamic_pointer_cast<SegGeom>((m_faces[0])->GetEdge(i));
406  m_edges.push_back(edge);
407  check++;
408  }
409  }
410  }
411 
412  if( check < 1 )
413  {
414  std::ostringstream errstrm;
415  errstrm << "Connected faces do not share an edge. Faces ";
416  errstrm << (m_faces[0])->GetFid() << ", " << (m_faces[f])->GetFid();
417  ASSERTL0(false, errstrm.str());
418  }
419  else if( check > 1)
420  {
421  std::ostringstream errstrm;
422  errstrm << "Connected faces share more than one edge. Faces ";
423  errstrm << (m_faces[0])->GetFid() << ", " << (m_faces[f])->GetFid();
424  ASSERTL0(false, errstrm.str());
425  }
426  }
427 
428  // Then, set up the 4 vertical edges
429  check = 0;
430  for(i = 0; i < 4; i++)
431  {
432  for(j = 0; j < 4; j++)
433  {
434  if( (m_faces[1])->GetEid(i) == (m_faces[4])->GetEid(j) )
435  {
436  edge = boost::dynamic_pointer_cast<SegGeom>((m_faces[1])->GetEdge(i));
437  m_edges.push_back(edge);
438  check++;
439  }
440  }
441  }
442  if( check < 1 )
443  {
444  std::ostringstream errstrm;
445  errstrm << "Connected faces do not share an edge. Faces ";
446  errstrm << (m_faces[1])->GetFid() << ", " << (m_faces[4])->GetFid();
447  ASSERTL0(false, errstrm.str());
448  }
449  else if( check > 1)
450  {
451  std::ostringstream errstrm;
452  errstrm << "Connected faces share more than one edge. Faces ";
453  errstrm << (m_faces[1])->GetFid() << ", " << (m_faces[4])->GetFid();
454  ASSERTL0(false, errstrm.str());
455  }
456  for(f = 1; f < 4 ; f++)
457  {
458  check = 0;
459  for(i = 0; i < 4; i++)
460  {
461  for(j = 0; j < 4; j++)
462  {
463  if( (m_faces[f])->GetEid(i) == (m_faces[f+1])->GetEid(j) )
464  {
465  edge = boost::dynamic_pointer_cast<SegGeom>((m_faces[f])->GetEdge(i));
466  m_edges.push_back(edge);
467  check++;
468  }
469  }
470  }
471 
472  if( check < 1 )
473  {
474  std::ostringstream errstrm;
475  errstrm << "Connected faces do not share an edge. Faces ";
476  errstrm << (m_faces[f])->GetFid() << ", " << (m_faces[f+1])->GetFid();
477  ASSERTL0(false, errstrm.str());
478  }
479  else if( check > 1)
480  {
481  std::ostringstream errstrm;
482  errstrm << "Connected faces share more than one edge. Faces ";
483  errstrm << (m_faces[f])->GetFid() << ", " << (m_faces[f+1])->GetFid();
484  ASSERTL0(false, errstrm.str());
485  }
486  }
487 
488  // Finally, set up the 4 top vertices
489  for(f = 1; f < 5 ; f++)
490  {
491  check = 0;
492  for(i = 0; i < 4; i++)
493  {
494  for(j = 0; j < 4; j++)
495  {
496  if( (m_faces[5])->GetEid(i) == (m_faces[f])->GetEid(j) )
497  {
498  edge = boost::dynamic_pointer_cast<SegGeom>((m_faces[5])->GetEdge(i));
499  m_edges.push_back(edge);
500  check++;
501  }
502  }
503  }
504 
505  if( check < 1 )
506  {
507  std::ostringstream errstrm;
508  errstrm << "Connected faces do not share an edge. Faces ";
509  errstrm << (m_faces[5])->GetFid() << ", " << (m_faces[f])->GetFid();
510  ASSERTL0(false, errstrm.str());
511  }
512  else if( check > 1)
513  {
514  std::ostringstream errstrm;
515  errstrm << "Connected faces share more than one edge. Faces ";
516  errstrm << (m_faces[5])->GetFid() << ", " << (m_faces[f])->GetFid();
517  ASSERTL0(false, errstrm.str());
518  }
519  }
520  }
ASSERTL0
#define ASSERTL0(condition, msg)
Definition: ErrorUtil.hpp:188
Nektar::SpatialDomains::Geometry3D::GetEid
int GetEid(int i) const
Return the ID of edge i in this element.
Definition: Geometry3D.cpp:74
Nektar::SpatialDomains::Geometry::GetFid
int GetFid(int i) const
Definition: Geometry.h:329
Nektar::SpatialDomains::SegGeomSharedPtr
boost::shared_ptr< SegGeom > SegGeomSharedPtr
Definition: Geometry2D.h:60
Nektar::SpatialDomains::Geometry3D::GetEdge
const Geometry1DSharedPtr GetEdge(int i) const
void Nektar::SpatialDomains::HexGeom::SetUpLocalVertices ( )
private

Definition at line 522 of file HexGeom.cpp.

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

Referenced by HexGeom().

523  {
524  // Set up the first 2 vertices (i.e. vertex 0,1)
525  if( ( m_edges[0]->GetVid(0) == m_edges[1]->GetVid(0) ) ||
526  ( m_edges[0]->GetVid(0) == m_edges[1]->GetVid(1) ) )
527  {
528  m_verts.push_back(m_edges[0]->GetVertex(1));
529  m_verts.push_back(m_edges[0]->GetVertex(0));
530  }
531  else if( ( m_edges[0]->GetVid(1) == m_edges[1]->GetVid(0) ) ||
532  ( m_edges[0]->GetVid(1) == m_edges[1]->GetVid(1) ) )
533  {
534  m_verts.push_back(m_edges[0]->GetVertex(0));
535  m_verts.push_back(m_edges[0]->GetVertex(1));
536  }
537  else
538  {
539  std::ostringstream errstrm;
540  errstrm << "Connected edges do not share a vertex. Edges ";
541  errstrm << m_edges[0]->GetEid() << ", " << m_edges[1]->GetEid();
542  ASSERTL0(false, errstrm.str());
543  }
544 
545  // set up the other bottom vertices (i.e. vertex 2,3)
546  int i;
547  for(i = 1; i < 3; i++)
548  {
549  if( m_edges[i]->GetVid(0) == m_verts[i]->GetVid() )
550  {
551  m_verts.push_back(m_edges[i]->GetVertex(1));
552  }
553  else if( m_edges[i]->GetVid(1) == m_verts[i]->GetVid() )
554  {
555  m_verts.push_back(m_edges[i]->GetVertex(0));
556  }
557  else
558  {
559  std::ostringstream errstrm;
560  errstrm << "Connected edges do not share a vertex. Edges ";
561  errstrm << m_edges[i]->GetEid() << ", " << m_edges[i-1]->GetEid();
562  ASSERTL0(false, errstrm.str());
563  }
564  }
565 
566  // set up top vertices
567  // First, set up vertices 4,5
568  if( ( m_edges[8]->GetVid(0) == m_edges[9]->GetVid(0) ) ||
569  ( m_edges[8]->GetVid(0) == m_edges[9]->GetVid(1) ) )
570  {
571  m_verts.push_back(m_edges[8]->GetVertex(1));
572  m_verts.push_back(m_edges[8]->GetVertex(0));
573  }
574  else if( ( m_edges[8]->GetVid(1) == m_edges[9]->GetVid(0) ) ||
575  ( m_edges[8]->GetVid(1) == m_edges[9]->GetVid(1) ) )
576  {
577  m_verts.push_back(m_edges[8]->GetVertex(0));
578  m_verts.push_back(m_edges[8]->GetVertex(1));
579  }
580  else
581  {
582  std::ostringstream errstrm;
583  errstrm << "Connected edges do not share a vertex. Edges ";
584  errstrm << m_edges[8]->GetEid() << ", " << m_edges[9]->GetEid();
585  ASSERTL0(false, errstrm.str());
586  }
587 
588  // set up the other top vertices (i.e. vertex 6,7)
589  for(i = 9; i < 11; i++)
590  {
591  if( m_edges[i]->GetVid(0) == m_verts[i-4]->GetVid() )
592  {
593  m_verts.push_back(m_edges[i]->GetVertex(1));
594  }
595  else if( m_edges[i]->GetVid(1) == m_verts[i-4]->GetVid() )
596  {
597  m_verts.push_back(m_edges[i]->GetVertex(0));
598  }
599  else
600  {
601  std::ostringstream errstrm;
602  errstrm << "Connected edges do not share a vertex. Edges ";
603  errstrm << m_edges[i]->GetEid() << ", " << m_edges[i-1]->GetEid();
604  ASSERTL0(false, errstrm.str());
605  }
606  }
607  }
ASSERTL0
#define ASSERTL0(condition, msg)
Definition: ErrorUtil.hpp:188
Nektar::SpatialDomains::Geometry::GetVertex
PointGeomSharedPtr GetVertex(int i) const
Definition: Geometry.h:348
Nektar::SpatialDomains::Geometry::GetVid
int GetVid(int i) const
Definition: Geometry.h:319
void Nektar::SpatialDomains::HexGeom::SetUpXmap ( )
private

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

Determine necessary order for standard region. This can almost certainly be simplified but works for now!

Definition at line 875 of file HexGeom.cpp.

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

Referenced by HexGeom(), and v_Reset().

876  {
877  /// Determine necessary order for standard region. This can almost
878  /// certainly be simplified but works for now!
879  vector<int> tmp1, tmp2;
880 
881  if (m_forient[0] < 9)
882  {
883  tmp1.push_back(m_faces[0]->GetXmap()->GetEdgeNcoeffs (0));
884  tmp1.push_back(m_faces[0]->GetXmap()->GetEdgeNcoeffs (2));
885  tmp2.push_back(m_faces[0]->GetXmap()->GetEdgeNumPoints(0));
886  tmp2.push_back(m_faces[0]->GetXmap()->GetEdgeNumPoints(2));
887  }
888  else
889  {
890  tmp1.push_back(m_faces[0]->GetXmap()->GetEdgeNcoeffs (1));
891  tmp1.push_back(m_faces[0]->GetXmap()->GetEdgeNcoeffs (3));
892  tmp2.push_back(m_faces[0]->GetXmap()->GetEdgeNumPoints(1));
893  tmp2.push_back(m_faces[0]->GetXmap()->GetEdgeNumPoints(3));
894  }
895 
896  if (m_forient[5] < 9)
897  {
898  tmp1.push_back(m_faces[5]->GetXmap()->GetEdgeNcoeffs (0));
899  tmp1.push_back(m_faces[5]->GetXmap()->GetEdgeNcoeffs (2));
900  tmp2.push_back(m_faces[5]->GetXmap()->GetEdgeNumPoints(0));
901  tmp2.push_back(m_faces[5]->GetXmap()->GetEdgeNumPoints(2));
902  }
903  else
904  {
905  tmp1.push_back(m_faces[5]->GetXmap()->GetEdgeNcoeffs (1));
906  tmp1.push_back(m_faces[5]->GetXmap()->GetEdgeNcoeffs (3));
907  tmp2.push_back(m_faces[5]->GetXmap()->GetEdgeNumPoints(1));
908  tmp2.push_back(m_faces[5]->GetXmap()->GetEdgeNumPoints(3));
909  }
910 
911  int order0 = *max_element(tmp1.begin(), tmp1.end());
912 
913  tmp1.clear();
914  tmp2.clear();
915 
916  if (m_forient[0] < 9)
917  {
918  tmp1.push_back(m_faces[0]->GetXmap()->GetEdgeNcoeffs (1));
919  tmp1.push_back(m_faces[0]->GetXmap()->GetEdgeNcoeffs (3));
920  tmp2.push_back(m_faces[0]->GetXmap()->GetEdgeNumPoints(1));
921  tmp2.push_back(m_faces[0]->GetXmap()->GetEdgeNumPoints(3));
922  }
923  else
924  {
925  tmp1.push_back(m_faces[0]->GetXmap()->GetEdgeNcoeffs (0));
926  tmp1.push_back(m_faces[0]->GetXmap()->GetEdgeNcoeffs (2));
927  tmp2.push_back(m_faces[0]->GetXmap()->GetEdgeNumPoints(0));
928  tmp2.push_back(m_faces[0]->GetXmap()->GetEdgeNumPoints(2));
929  }
930 
931  if (m_forient[5] < 9)
932  {
933  tmp1.push_back(m_faces[5]->GetXmap()->GetEdgeNcoeffs (1));
934  tmp1.push_back(m_faces[5]->GetXmap()->GetEdgeNcoeffs (3));
935  tmp2.push_back(m_faces[5]->GetXmap()->GetEdgeNumPoints(1));
936  tmp2.push_back(m_faces[5]->GetXmap()->GetEdgeNumPoints(3));
937  }
938  else
939  {
940  tmp1.push_back(m_faces[5]->GetXmap()->GetEdgeNcoeffs (0));
941  tmp1.push_back(m_faces[5]->GetXmap()->GetEdgeNcoeffs (2));
942  tmp2.push_back(m_faces[5]->GetXmap()->GetEdgeNumPoints(0));
943  tmp2.push_back(m_faces[5]->GetXmap()->GetEdgeNumPoints(2));
944  }
945 
946  int order1 = *max_element(tmp1.begin(), tmp1.end());
947 
948  tmp1.clear();
949  tmp2.clear();
950 
951  if (m_forient[1] < 9)
952  {
953  tmp1.push_back(m_faces[1]->GetXmap()->GetEdgeNcoeffs (1));
954  tmp1.push_back(m_faces[1]->GetXmap()->GetEdgeNcoeffs (3));
955  tmp2.push_back(m_faces[1]->GetXmap()->GetEdgeNumPoints(1));
956  tmp2.push_back(m_faces[1]->GetXmap()->GetEdgeNumPoints(3));
957  }
958  else
959  {
960  tmp1.push_back(m_faces[1]->GetXmap()->GetEdgeNcoeffs (0));
961  tmp1.push_back(m_faces[1]->GetXmap()->GetEdgeNcoeffs (2));
962  tmp2.push_back(m_faces[1]->GetXmap()->GetEdgeNumPoints(0));
963  tmp2.push_back(m_faces[1]->GetXmap()->GetEdgeNumPoints(2));
964  }
965 
966  if (m_forient[3] < 9)
967  {
968  tmp1.push_back(m_faces[3]->GetXmap()->GetEdgeNcoeffs (1));
969  tmp1.push_back(m_faces[3]->GetXmap()->GetEdgeNcoeffs (3));
970  tmp2.push_back(m_faces[3]->GetXmap()->GetEdgeNumPoints(1));
971  tmp2.push_back(m_faces[3]->GetXmap()->GetEdgeNumPoints(3));
972  }
973  else
974  {
975  tmp1.push_back(m_faces[3]->GetXmap()->GetEdgeNcoeffs (0));
976  tmp1.push_back(m_faces[3]->GetXmap()->GetEdgeNcoeffs (2));
977  tmp2.push_back(m_faces[3]->GetXmap()->GetEdgeNumPoints(0));
978  tmp2.push_back(m_faces[3]->GetXmap()->GetEdgeNumPoints(2));
979  }
980 
981  int order2 = *max_element(tmp1.begin(), tmp1.end());
982 
983  const LibUtilities::BasisKey A(
984  LibUtilities::eModified_A, order0,
985  LibUtilities::PointsKey(
986  order0+1, LibUtilities::eGaussLobattoLegendre));
987  const LibUtilities::BasisKey B(
988  LibUtilities::eModified_A, order1,
989  LibUtilities::PointsKey(
990  order1+1, LibUtilities::eGaussLobattoLegendre));
991  const LibUtilities::BasisKey C(
992  LibUtilities::eModified_A, order2,
993  LibUtilities::PointsKey(
994  order2+1, LibUtilities::eGaussLobattoLegendre));
995 
996  m_xmap = MemoryManager<StdRegions::StdHexExp>::AllocateSharedPtr(
997  A, B, C);
998  }
Nektar::SpatialDomains::Geometry::m_xmap
StdRegions::StdExpansionSharedPtr m_xmap
Definition: Geometry.h:172
Nektar::MemoryManager::AllocateSharedPtr
static boost::shared_ptr< DataType > AllocateSharedPtr()
Allocate a shared pointer from the memory pool.
Definition: NekMemoryManager.hpp:235
Nektar::LibUtilities::eModified_A
Principle Modified Functions .
Definition: BasisType.h:49
Nektar::SpatialDomains::Geometry::GetXmap
StdRegions::StdExpansionSharedPtr GetXmap() const
Definition: Geometry.h:383
Nektar::SpatialDomains::Geometry3D::m_forient
std::vector< StdRegions::Orientation > m_forient
Definition: Geometry3D.h:93
Nektar::LibUtilities::eGaussLobattoLegendre
1D Gauss-Lobatto-Legendre quadrature points
Definition: PointsType.h:50
bool Nektar::SpatialDomains::HexGeom::v_ContainsPoint ( const Array< OneD, const NekDouble > &  gloCoord,
NekDouble  tol = 0.0 
)
protectedvirtual

Determines if a point specified in global coordinates is located within this tetrahedral geometry.

Reimplemented from Nektar::SpatialDomains::Geometry.

Definition at line 251 of file HexGeom.cpp.

References Nektar::SpatialDomains::Geometry::GetCoordim().

Referenced by v_ContainsPoint().

253  {
254  Array<OneD,NekDouble> locCoord(GetCoordim(),0.0);
255  return v_ContainsPoint(gloCoord,locCoord,tol);
256  }
Nektar::SpatialDomains::HexGeom::v_ContainsPoint
virtual bool v_ContainsPoint(const Array< OneD, const NekDouble > &gloCoord, NekDouble tol=0.0)
Determines if a point specified in global coordinates is located within this tetrahedral geometry...
Definition: HexGeom.cpp:251
bool Nektar::SpatialDomains::HexGeom::v_ContainsPoint ( const Array< OneD, const NekDouble > &  gloCoord,
Array< OneD, NekDouble > &  locCoord,
NekDouble  tol 
)
protectedvirtual

Reimplemented from Nektar::SpatialDomains::Geometry.

Definition at line 259 of file HexGeom.cpp.

References v_ContainsPoint().

263  {
264  NekDouble resid;
265  return v_ContainsPoint(gloCoord,locCoord,tol,resid);
266  }
Nektar::SpatialDomains::HexGeom::v_ContainsPoint
virtual bool v_ContainsPoint(const Array< OneD, const NekDouble > &gloCoord, NekDouble tol=0.0)
Determines if a point specified in global coordinates is located within this tetrahedral geometry...
Definition: HexGeom.cpp:251
Nektar::NekDouble
double NekDouble
Definition: NektarUnivTypeDefs.hpp:44
bool Nektar::SpatialDomains::HexGeom::v_ContainsPoint ( const Array< OneD, const NekDouble > &  gloCoord,
Array< OneD, NekDouble > &  locCoord,
NekDouble  tol,
NekDouble &  resid 
)
protectedvirtual

Reimplemented from Nektar::SpatialDomains::Geometry.

Definition at line 268 of file HexGeom.cpp.

References ASSERTL1, Nektar::SpatialDomains::eRegular, Nektar::SpatialDomains::Geometry::GetMetricInfo(), Nektar::SpatialDomains::Geometry::m_coeffs, Nektar::SpatialDomains::Geometry::m_xmap, npts, Nektar::SpatialDomains::Geometry3D::v_FillGeom(), v_GetLocCoords(), Vmath::Vmax(), and Vmath::Vmin().

273  {
274  ASSERTL1(gloCoord.num_elements() == 3,
275  "Three dimensional geometry expects three coordinates.");
276 
277  // find min, max point and check if within twice this
278  // distance other false this is advisable since
279  // GetLocCoord is expensive for non regular elements.
280  if(GetMetricInfo()->GetGtype() != eRegular)
281  {
282  int i;
283  Array<OneD, NekDouble> mincoord(3), maxcoord(3);
284  NekDouble diff = 0.0;
285 
286  v_FillGeom();
287 
288  const int npts = m_xmap->GetTotPoints();
289  Array<OneD, NekDouble> pts(npts);
290 
291  for(i = 0; i < 3; ++i)
292  {
293  m_xmap->BwdTrans(m_coeffs[i], pts);
294 
295  mincoord[i] = Vmath::Vmin(pts.num_elements(),pts,1);
296  maxcoord[i] = Vmath::Vmax(pts.num_elements(),pts,1);
297 
298  diff = max(maxcoord[i] - mincoord[i],diff);
299  }
300 
301  for(i = 0; i < 3; ++i)
302  {
303  if((gloCoord[i] < mincoord[i] - 0.2*diff)||
304  (gloCoord[i] > maxcoord[i] + 0.2*diff))
305  {
306  return false;
307  }
308  }
309  }
310 
311  v_GetLocCoords(gloCoord, locCoord);
312 
313  if (locCoord[0] >= -(1+tol) && locCoord[0] <= 1+tol
314  && locCoord[1] >= -(1+tol) && locCoord[1] <= 1+tol
315  && locCoord[2] >= -(1+tol) && locCoord[2] <= 1+tol)
316  {
317  return true;
318  }
319 
320  // If out of range clamp locCoord to be within [-1,1]^3
321  // since any larger value will be very oscillatory if
322  // called by 'returnNearestElmt' option in
323  // ExpList::GetExpIndex
324  for(int i = 0; i < 3; ++i)
325  {
326  if(locCoord[i] <-(1+tol))
327  {
328  locCoord[i] = -(1+tol);
329  }
330 
331  if(locCoord[i] > (1+tol))
332  {
333  locCoord[i] = 1+tol;
334  }
335  }
336 
337  return false;
338  }
Nektar::SpatialDomains::Geometry::m_xmap
StdRegions::StdExpansionSharedPtr m_xmap
Definition: Geometry.h:172
Vmath::Vmax
T Vmax(int n, const T *x, const int incx)
Return the maximum element in x – called vmax to avoid conflict with max.
Definition: Vmath.cpp:765
Vmath::Vmin
T Vmin(int n, const T *x, const int incx)
Return the minimum element in x - called vmin to avoid conflict with min.
Definition: Vmath.cpp:857
Nektar::SpatialDomains::HexGeom::v_GetLocCoords
virtual NekDouble v_GetLocCoords(const Array< OneD, const NekDouble > &coords, Array< OneD, NekDouble > &Lcoords)
Definition: HexGeom.cpp:148
npts
static std::string npts
Definition: InputFld.cpp:43
Nektar::NekDouble
double NekDouble
Definition: NektarUnivTypeDefs.hpp:44
Nektar::SpatialDomains::Geometry3D::v_FillGeom
virtual void v_FillGeom()
Put all quadrature information into face/edge structure and backward transform.
Definition: Geometry3D.cpp:247
Nektar::SpatialDomains::Geometry::m_coeffs
Array< OneD, Array< OneD, NekDouble > > m_coeffs
Definition: Geometry.h:180
Nektar::SpatialDomains::eRegular
Geometry is straight-sided with constant geometric factors.
Definition: SpatialDomains.hpp:55
Nektar::SpatialDomains::Geometry::GetMetricInfo
GeomFactorsSharedPtr GetMetricInfo()
Definition: Geometry.h:299
ASSERTL1
#define ASSERTL1(condition, msg)
Assert Level 1 – Debugging which is used whether in FULLDEBUG or DEBUG compilation mode...
Definition: ErrorUtil.hpp:218
void Nektar::SpatialDomains::HexGeom::v_GenGeomFactors ( )
protectedvirtual

Generate the geometry factors for this element.

Reimplemented from Nektar::SpatialDomains::Geometry3D.

Definition at line 88 of file HexGeom.cpp.

References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), Nektar::SpatialDomains::eDeformed, Nektar::SpatialDomains::ePtsFilled, Nektar::SpatialDomains::eRegular, Nektar::NekConstants::kNekZeroTol, kNfaces, Nektar::SpatialDomains::QuadGeom::kNverts, Nektar::SpatialDomains::Geometry::m_coeffs, Nektar::SpatialDomains::Geometry::m_coordim, Nektar::SpatialDomains::Geometry::m_geomFactors, Nektar::SpatialDomains::Geometry::m_geomFactorsState, Nektar::SpatialDomains::Geometry3D::m_verts, Nektar::SpatialDomains::Geometry::m_xmap, and Nektar::SpatialDomains::Geometry3D::v_FillGeom().

89  {
90  if (m_geomFactorsState != ePtsFilled)
91  {
92  int i,f;
93  GeomType Gtype = eRegular;
94 
95  v_FillGeom();
96 
97  // check to see if expansions are linear
98  for(i = 0; i < m_coordim; ++i)
99  {
100  if (m_xmap->GetBasisNumModes(0) != 2 ||
101  m_xmap->GetBasisNumModes(1) != 2 ||
102  m_xmap->GetBasisNumModes(2) != 2 )
103  {
104  Gtype = eDeformed;
105  }
106  }
107 
108  // check to see if all faces are parallelograms
109  if(Gtype == eRegular)
110  {
111  const unsigned int faceVerts[kNfaces][QuadGeom::kNverts] =
112  { {0,1,2,3} ,
113  {0,1,5,4} ,
114  {1,2,6,5} ,
115  {3,2,6,7} ,
116  {0,3,7,4} ,
117  {4,5,6,7} };
118 
119  for(f = 0; f < kNfaces; f++)
120  {
121  // Ensure each face is a parallelogram? Check this.
122  for (i = 0; i < m_coordim; i++)
123  {
124  if( fabs( (*m_verts[ faceVerts[f][0] ])(i) -
125  (*m_verts[ faceVerts[f][1] ])(i) +
126  (*m_verts[ faceVerts[f][2] ])(i) -
127  (*m_verts[ faceVerts[f][3] ])(i) )
128  > NekConstants::kNekZeroTol )
129  {
130  Gtype = eDeformed;
131  break;
132  }
133  }
134 
135  if (Gtype == eDeformed)
136  {
137  break;
138  }
139  }
140  }
141 
142  m_geomFactors = MemoryManager<GeomFactors>::AllocateSharedPtr(
143  Gtype, m_coordim, m_xmap, m_coeffs);
144  m_geomFactorsState = ePtsFilled;
145  }
146  }
Nektar::SpatialDomains::Geometry::m_xmap
StdRegions::StdExpansionSharedPtr m_xmap
Definition: Geometry.h:172
Nektar::MemoryManager::AllocateSharedPtr
static boost::shared_ptr< DataType > AllocateSharedPtr()
Allocate a shared pointer from the memory pool.
Definition: NekMemoryManager.hpp:235
Nektar::SpatialDomains::Geometry::m_geomFactors
GeomFactorsSharedPtr m_geomFactors
Definition: Geometry.h:170
Nektar::SpatialDomains::HexGeom::kNfaces
static const int kNfaces
Definition: HexGeom.h:64
Nektar::NekConstants::kNekZeroTol
static const NekDouble kNekZeroTol
Definition: NektarUnivConsts.hpp:51
Nektar::SpatialDomains::Geometry3D::v_FillGeom
virtual void v_FillGeom()
Put all quadrature information into face/edge structure and backward transform.
Definition: Geometry3D.cpp:247
Nektar::SpatialDomains::Geometry::m_coeffs
Array< OneD, Array< OneD, NekDouble > > m_coeffs
Definition: Geometry.h:180
Nektar::SpatialDomains::eRegular
Geometry is straight-sided with constant geometric factors.
Definition: SpatialDomains.hpp:55
Nektar::SpatialDomains::ePtsFilled
Geometric information has been generated.
Definition: SpatialDomains.hpp:68
Nektar::SpatialDomains::GeomType
GeomType
Indicates the type of element geometry.
Definition: SpatialDomains.hpp:52
Nektar::SpatialDomains::eDeformed
Geometry is curved or has non-constant factors.
Definition: SpatialDomains.hpp:57
Nektar::SpatialDomains::Geometry::m_coordim
int m_coordim
coordinate dimension
Definition: Geometry.h:169
int Nektar::SpatialDomains::HexGeom::v_GetDir ( const int  faceidx,
const int  facedir 
) const
protectedvirtual

Implements Nektar::SpatialDomains::Geometry3D.

Definition at line 370 of file HexGeom.cpp.

371  {
372  if (faceidx == 0 || faceidx == 5)
373  {
374  return facedir;
375  }
376  else if (faceidx == 1 || faceidx == 3)
377  {
378  return 2 * facedir;
379  }
380  else
381  {
382  return 1 + facedir;
383  }
384  }
int Nektar::SpatialDomains::HexGeom::v_GetEdgeFaceMap ( const int  i,
const int  j 
) const
protectedvirtual

Reimplemented from Nektar::SpatialDomains::Geometry.

Definition at line 365 of file HexGeom.cpp.

References EdgeFaceConnectivity.

366  {
367  return EdgeFaceConnectivity[i][j];
368  }
Nektar::SpatialDomains::HexGeom::EdgeFaceConnectivity
static const unsigned int EdgeFaceConnectivity[12][2]
Definition: HexGeom.h:107
NekDouble Nektar::SpatialDomains::HexGeom::v_GetLocCoords ( const Array< OneD, const NekDouble > &  coords,
Array< OneD, NekDouble > &  Lcoords 
)
protectedvirtual

Reimplemented from Nektar::SpatialDomains::Geometry.

Definition at line 148 of file HexGeom.cpp.

References Nektar::SpatialDomains::PointGeom::dist(), Nektar::SpatialDomains::eRegular, Nektar::SpatialDomains::Geometry::GetMetricInfo(), Vmath::Imin(), Nektar::SpatialDomains::Geometry::m_coeffs, Nektar::SpatialDomains::Geometry::m_coordim, Nektar::SpatialDomains::Geometry3D::m_verts, Nektar::SpatialDomains::Geometry::m_xmap, Nektar::SpatialDomains::Geometry3D::NewtonIterationForLocCoord(), npts, Vmath::Sadd(), Nektar::SpatialDomains::Geometry3D::v_FillGeom(), Vmath::Vmul(), and Vmath::Vvtvp().

Referenced by v_ContainsPoint().

151  {
152  NekDouble ptdist = 1e6;
153  int i;
154 
155  v_FillGeom();
156 
157  // calculate local coordinate for coord
158  if(GetMetricInfo()->GetGtype() == eRegular)
159  {
160  NekDouble len0 = 0.0 ;
161  NekDouble len1 = 0.0;
162  NekDouble len2 = 0.0;
163  NekDouble xi0 = 0.0;
164  NekDouble xi1 = 0.0;
165  NekDouble xi2 = 0.0;
166  Array<OneD, NekDouble> pts(m_xmap->GetTotPoints());
167  int nq0, nq1, nq2;
168 
169  // get points;
170  //find end points
171  for(i = 0; i < m_coordim; ++i)
172  {
173  nq0 = m_xmap->GetNumPoints(0);
174  nq1 = m_xmap->GetNumPoints(1);
175  nq2 = m_xmap->GetNumPoints(2);
176 
177  m_xmap->BwdTrans(m_coeffs[i], pts);
178 
179  // use projection to side 1 to determine xi_1 coordinate based on length
180  len0 += (pts[nq0-1]-pts[0])*(pts[nq0-1]-pts[0]);
181  xi0 += (coords[i] -pts[0])*(pts[nq0-1]-pts[0]);
182 
183  // use projection to side 4 to determine xi_2 coordinate based on length
184  len1 += (pts[nq0*(nq1-1)]-pts[0])*(pts[nq0*(nq1-1)]-pts[0]);
185  xi1 += (coords[i] -pts[0])*(pts[nq0*(nq1-1)]-pts[0]);
186 
187  // use projection to side 4 to determine xi_3 coordinate based on length
188  len2 += (pts[nq0*nq1*(nq2-1)]-pts[0])*(pts[nq0*nq1*(nq2-1)]-pts[0]);
189  xi2 += (coords[i] -pts[0])*(pts[nq0*nq1*(nq2-1)]-pts[0]);
190  }
191 
192  Lcoords[0] = 2*xi0/len0-1.0;
193  Lcoords[1] = 2*xi1/len1-1.0;
194  Lcoords[2] = 2*xi2/len2-1.0;
195 
196  // Set ptdist to distance to nearest vertex
197  // Point inside tetrahedron
198  PointGeom r(m_coordim, 0, coords[0], coords[1], coords[2]);
199  for(int i = 0; i < 8; ++i)
200  {
201  ptdist = min(ptdist,r.dist(*m_verts[i]));
202  }
203  }
204  else
205  {
206  // Determine nearest point of coords to values in m_xmap
207  int npts = m_xmap->GetTotPoints();
208  Array<OneD, NekDouble> ptsx(npts), ptsy(npts), ptsz(npts);
209  Array<OneD, NekDouble> tmp1(npts), tmp2(npts);
210 
211  m_xmap->BwdTrans(m_coeffs[0], ptsx);
212  m_xmap->BwdTrans(m_coeffs[1], ptsy);
213  m_xmap->BwdTrans(m_coeffs[2], ptsz);
214 
215  const Array<OneD, const NekDouble> za = m_xmap->GetPoints(0);
216  const Array<OneD, const NekDouble> zb = m_xmap->GetPoints(1);
217  const Array<OneD, const NekDouble> zc = m_xmap->GetPoints(2);
218 
219  //guess the first local coords based on nearest point
220  Vmath::Sadd(npts, -coords[0], ptsx,1,tmp1,1);
221  Vmath::Vmul (npts, tmp1,1,tmp1,1,tmp1,1);
222  Vmath::Sadd(npts, -coords[1], ptsy,1,tmp2,1);
223  Vmath::Vvtvp(npts, tmp2,1,tmp2,1,tmp1,1,tmp1,1);
224  Vmath::Sadd(npts, -coords[2], ptsz,1,tmp2,1);
225  Vmath::Vvtvp(npts, tmp2,1,tmp2,1,tmp1,1,tmp1,1);
226 
227  int min_i = Vmath::Imin(npts,tmp1,1);
228 
229  // distance from coordinate to nearest point for return value.
230  ptdist = sqrt(tmp1[min_i]);
231 
232  // Get Local coordinates
233  int qa = za.num_elements(), qb = zb.num_elements();
234  Lcoords[2] = zc[min_i/(qa*qb)];
235  min_i = min_i%(qa*qb);
236  Lcoords[1] = zb[min_i/qa];
237  Lcoords[0] = za[min_i%qa];
238 
239  // Perform newton iteration to find local coordinates
240  NekDouble resid = 0.0;
241  NewtonIterationForLocCoord(coords, ptsx, ptsy, ptsz, Lcoords,
242  resid);
243  }
244  return ptdist;
245  }
Nektar::SpatialDomains::Geometry::m_xmap
StdRegions::StdExpansionSharedPtr m_xmap
Definition: Geometry.h:172
Vmath::Imin
int Imin(int n, const T *x, const int incx)
Return the index of the minimum element in x.
Definition: Vmath.cpp:833
Vmath::Vvtvp
void Vvtvp(int n, const T *w, const int incw, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
vvtvp (vector times vector plus vector): z = w*x + y
Definition: Vmath.cpp:428
Nektar::SpatialDomains::Geometry3D::NewtonIterationForLocCoord
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 &resid)
Definition: Geometry3D.cpp:99
npts
static std::string npts
Definition: InputFld.cpp:43
Nektar::NekDouble
double NekDouble
Definition: NektarUnivTypeDefs.hpp:44
Vmath::Sadd
void Sadd(int n, const T alpha, const T *x, const int incx, T *y, const int incy)
Add vector y = alpha + x.
Definition: Vmath.cpp:301
Nektar::SpatialDomains::Geometry3D::v_FillGeom
virtual void v_FillGeom()
Put all quadrature information into face/edge structure and backward transform.
Definition: Geometry3D.cpp:247
Nektar::SpatialDomains::Geometry::m_coeffs
Array< OneD, Array< OneD, NekDouble > > m_coeffs
Definition: Geometry.h:180
Nektar::SpatialDomains::eRegular
Geometry is straight-sided with constant geometric factors.
Definition: SpatialDomains.hpp:55
Nektar::SpatialDomains::Geometry::GetMetricInfo
GeomFactorsSharedPtr GetMetricInfo()
Definition: Geometry.h:299
Nektar::SpatialDomains::Geometry::m_coordim
int m_coordim
coordinate dimension
Definition: Geometry.h:169
Vmath::Vmul
void Vmul(int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
Multiply vector z = x*y.
Definition: Vmath.cpp:169
int Nektar::SpatialDomains::HexGeom::v_GetNumEdges ( ) const
protectedvirtual

Reimplemented from Nektar::SpatialDomains::Geometry.

Definition at line 345 of file HexGeom.cpp.

346  {
347  return 12;
348  }
int Nektar::SpatialDomains::HexGeom::v_GetNumFaces ( ) const
protectedvirtual

Reimplemented from Nektar::SpatialDomains::Geometry.

Definition at line 350 of file HexGeom.cpp.

351  {
352  return 6;
353  }
int Nektar::SpatialDomains::HexGeom::v_GetNumVerts ( ) const
protectedvirtual

Reimplemented from Nektar::SpatialDomains::Geometry.

Definition at line 340 of file HexGeom.cpp.

341  {
342  return 8;
343  }
int Nektar::SpatialDomains::HexGeom::v_GetVertexEdgeMap ( const int  i,
const int  j 
) const
protectedvirtual

Reimplemented from Nektar::SpatialDomains::Geometry.

Definition at line 355 of file HexGeom.cpp.

References VertexEdgeConnectivity.

356  {
357  return VertexEdgeConnectivity[i][j];
358  }
Nektar::SpatialDomains::HexGeom::VertexEdgeConnectivity
static const unsigned int VertexEdgeConnectivity[8][3]
Definition: HexGeom.h:105
int Nektar::SpatialDomains::HexGeom::v_GetVertexFaceMap ( const int  i,
const int  j 
) const
protectedvirtual

Reimplemented from Nektar::SpatialDomains::Geometry.

Definition at line 360 of file HexGeom.cpp.

References VertexFaceConnectivity.

361  {
362  return VertexFaceConnectivity[i][j];
363  }
Nektar::SpatialDomains::HexGeom::VertexFaceConnectivity
static const unsigned int VertexFaceConnectivity[8][3]
Definition: HexGeom.h:106
void Nektar::SpatialDomains::HexGeom::v_Reset ( CurveMap &  curvedEdges,
CurveMap &  curvedFaces 
)
protectedvirtual

Reset this geometry object: unset the current state and remove allocated GeomFactors.

Reimplemented from Nektar::SpatialDomains::Geometry.

Definition at line 856 of file HexGeom.cpp.

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

859  {
860  Geometry::v_Reset(curvedEdges, curvedFaces);
861 
862  for (int i = 0; i < 6; ++i)
863  {
864  m_faces[i]->Reset(curvedEdges, curvedFaces);
865  }
866 
867  SetUpXmap();
868  SetUpCoeffs(m_xmap->GetNcoeffs());
869  }
Nektar::SpatialDomains::Geometry::m_xmap
StdRegions::StdExpansionSharedPtr m_xmap
Definition: Geometry.h:172
Nektar::SpatialDomains::HexGeom::SetUpXmap
void SetUpXmap()
Set up the m_xmap object by determining the order of each direction from derived faces.
Definition: HexGeom.cpp:875
Nektar::SpatialDomains::Geometry::v_Reset
virtual void v_Reset(CurveMap &curvedEdges, CurveMap &curvedFaces)
Reset this geometry object: unset the current state and remove allocated GeomFactors.
Definition: Geometry.cpp:307
Nektar::SpatialDomains::Geometry::SetUpCoeffs
void SetUpCoeffs(const int nCoeffs)
Initialise the m_coeffs array.
Definition: Geometry.h:484

Member Data Documentation

const unsigned int Nektar::SpatialDomains::HexGeom::EdgeFaceConnectivity
staticprivate
Initial value:
= {
{0,1},{0,2},{0,3},{0,4},{1,4},{1,2},{2,3},{3,4},
{1,5},{2,5},{3,5},{4,5}}

Definition at line 107 of file HexGeom.h.

Referenced by v_GetEdgeFaceMap().

const int Nektar::SpatialDomains::HexGeom::kNedges = 12
static

Definition at line 61 of file HexGeom.h.

Referenced by HexGeom(), and SetUpEdgeOrientation().

const int Nektar::SpatialDomains::HexGeom::kNfaces = kNqfaces + kNtfaces
static

Definition at line 64 of file HexGeom.h.

Referenced by HexGeom(), Nektar::SpatialDomains::MeshGraph3D::ReadElements(), SetUpFaceOrientation(), and v_GenGeomFactors().

const int Nektar::SpatialDomains::HexGeom::kNqfaces = 6
static

Definition at line 62 of file HexGeom.h.

Referenced by Nektar::SpatialDomains::MeshGraph3D::ReadElements(), and SetUpFaceOrientation().

const int Nektar::SpatialDomains::HexGeom::kNtfaces = 0
static

Definition at line 63 of file HexGeom.h.

Referenced by Nektar::SpatialDomains::MeshGraph3D::ReadElements(), and SetUpFaceOrientation().

const int Nektar::SpatialDomains::HexGeom::kNverts = 8
static

Definition at line 60 of file HexGeom.h.

const unsigned int Nektar::SpatialDomains::HexGeom::VertexEdgeConnectivity
staticprivate
Initial value:
= {
{0,3,4},{0,1,5},{1,2,6},{2,3,7},
{4,8,11},{5,8,9},{6,9,10},{7,10,11}}

Definition at line 105 of file HexGeom.h.

Referenced by v_GetVertexEdgeMap().

const unsigned int Nektar::SpatialDomains::HexGeom::VertexFaceConnectivity
staticprivate
Initial value:
= {
{0,1,4},{0,1,2},{0,2,3},{0,3,4},
{1,4,5},{1,2,5},{2,3,5},{3,4,5}}

Definition at line 106 of file HexGeom.h.

Referenced by v_GetVertexFaceMap().

const std::string Nektar::SpatialDomains::HexGeom::XMLElementType
static

Definition at line 65 of file HexGeom.h.

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