Nektar++
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#include <HexExp.h>
Public Member Functions | |
HexExp (const LibUtilities::BasisKey &Ba, const LibUtilities::BasisKey &Bb, const LibUtilities::BasisKey &Bc, const SpatialDomains::HexGeomSharedPtr &geom) | |
Constructor using BasisKey class for quadrature points and order definition. More... | |
HexExp (const HexExp &T) | |
Copy Constructor. More... | |
~HexExp () | |
Destructor. More... | |
Public Member Functions inherited from Nektar::StdRegions::StdHexExp | |
StdHexExp () | |
StdHexExp (const LibUtilities::BasisKey &Ba, const LibUtilities::BasisKey &Bb, const LibUtilities::BasisKey &Bc) | |
StdHexExp (const LibUtilities::BasisKey &Ba, const LibUtilities::BasisKey &Bb, const LibUtilities::BasisKey &Bc, NekDouble *coeffs, NekDouble *phys) | |
StdHexExp (const StdHexExp &T) | |
~StdHexExp () | |
Public Member Functions inherited from Nektar::StdRegions::StdExpansion3D | |
StdExpansion3D () | |
StdExpansion3D (int numcoeffs, const LibUtilities::BasisKey &Ba, const LibUtilities::BasisKey &Bb, const LibUtilities::BasisKey &Bc) | |
StdExpansion3D (const StdExpansion3D &T) | |
virtual | ~StdExpansion3D () |
void | PhysTensorDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray_d1, Array< OneD, NekDouble > &outarray_d2, Array< OneD, NekDouble > &outarray_d3) |
Calculate the 3D derivative in the local tensor/collapsed coordinate at the physical points. More... | |
void | BwdTrans_SumFacKernel (const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &base2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0, bool doCheckCollDir1, bool doCheckCollDir2) |
void | IProductWRTBase_SumFacKernel (const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &base2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0, bool doCheckCollDir1, bool doCheckCollDir2) |
Public Member Functions inherited from Nektar::StdRegions::StdExpansion | |
StdExpansion () | |
Default Constructor. More... | |
StdExpansion (const int numcoeffs, const int numbases, const LibUtilities::BasisKey &Ba=LibUtilities::NullBasisKey, const LibUtilities::BasisKey &Bb=LibUtilities::NullBasisKey, const LibUtilities::BasisKey &Bc=LibUtilities::NullBasisKey) | |
Constructor. More... | |
StdExpansion (const StdExpansion &T) | |
Copy Constructor. More... | |
virtual | ~StdExpansion () |
Destructor. More... | |
int | GetNumBases () const |
This function returns the number of 1D bases used in the expansion. More... | |
const Array< OneD, const LibUtilities::BasisSharedPtr > & | GetBase () const |
This function gets the shared point to basis. More... | |
const LibUtilities::BasisSharedPtr & | GetBasis (int dir) const |
This function gets the shared point to basis in the dir direction. More... | |
int | GetNcoeffs (void) const |
This function returns the total number of coefficients used in the expansion. More... | |
int | GetTotPoints () const |
This function returns the total number of quadrature points used in the element. More... | |
LibUtilities::BasisType | GetBasisType (const int dir) const |
This function returns the type of basis used in the dir direction. More... | |
int | GetBasisNumModes (const int dir) const |
This function returns the number of expansion modes in the dir direction. More... | |
int | EvalBasisNumModesMax (void) const |
This function returns the maximum number of expansion modes over all local directions. More... | |
LibUtilities::PointsType | GetPointsType (const int dir) const |
This function returns the type of quadrature points used in the dir direction. More... | |
int | GetNumPoints (const int dir) const |
This function returns the number of quadrature points in the dir direction. More... | |
const Array< OneD, const NekDouble > & | GetPoints (const int dir) const |
This function returns a pointer to the array containing the quadrature points in dir direction. More... | |
int | GetNverts () const |
This function returns the number of vertices of the expansion domain. More... | |
int | GetNedges () const |
This function returns the number of edges of the expansion domain. More... | |
int | GetEdgeNcoeffs (const int i) const |
This function returns the number of expansion coefficients belonging to the i-th edge. More... | |
int | GetTotalEdgeIntNcoeffs () const |
int | GetEdgeNumPoints (const int i) const |
This function returns the number of quadrature points belonging to the i-th edge. More... | |
int | DetCartesianDirOfEdge (const int edge) |
const LibUtilities::BasisKey | DetEdgeBasisKey (const int i) const |
const LibUtilities::BasisKey | DetFaceBasisKey (const int i, const int k) const |
int | GetFaceNumPoints (const int i) const |
This function returns the number of quadrature points belonging to the i-th face. More... | |
int | GetFaceNcoeffs (const int i) const |
This function returns the number of expansion coefficients belonging to the i-th face. More... | |
int | GetFaceIntNcoeffs (const int i) const |
int | GetTotalFaceIntNcoeffs () const |
int | GetTraceNcoeffs (const int i) const |
This function returns the number of expansion coefficients belonging to the i-th edge/face. More... | |
LibUtilities::PointsKey | GetFacePointsKey (const int i, const int j) const |
int | NumBndryCoeffs (void) const |
int | NumDGBndryCoeffs (void) const |
LibUtilities::BasisType | GetEdgeBasisType (const int i) const |
This function returns the type of expansion basis on the i-th edge. More... | |
const LibUtilities::PointsKey | GetNodalPointsKey () const |
This function returns the type of expansion Nodal point type if defined. More... | |
int | GetNfaces () const |
This function returns the number of faces of the expansion domain. More... | |
int | GetNtrace () const |
Returns the number of trace elements connected to this element. More... | |
LibUtilities::ShapeType | DetShapeType () const |
This function returns the shape of the expansion domain. More... | |
boost::shared_ptr< StdExpansion > | GetStdExp (void) const |
boost::shared_ptr< StdExpansion > | GetLinStdExp (void) const |
int | GetShapeDimension () const |
bool | IsBoundaryInteriorExpansion () |
bool | IsNodalNonTensorialExp () |
void | BwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
This function performs the Backward transformation from coefficient space to physical space. More... | |
void | FwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
This function performs the Forward transformation from physical space to coefficient space. More... | |
void | FwdTrans_BndConstrained (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
NekDouble | Integral (const Array< OneD, const NekDouble > &inarray) |
This function integrates the specified function over the domain. More... | |
void | FillMode (const int mode, Array< OneD, NekDouble > &outarray) |
This function fills the array outarray with the mode-th mode of the expansion. More... | |
void | IProductWRTBase (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
this function calculates the inner product of a given function f with the different modes of the expansion More... | |
void | IProductWRTBase (const Array< OneD, const NekDouble > &base, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, int coll_check) |
void | IProductWRTDerivBase (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
int | GetElmtId () |
Get the element id of this expansion when used in a list by returning value of m_elmt_id. More... | |
void | SetElmtId (const int id) |
Set the element id of this expansion when used in a list by returning value of m_elmt_id. More... | |
void | GetCoords (Array< OneD, NekDouble > &coords_1, Array< OneD, NekDouble > &coords_2=NullNekDouble1DArray, Array< OneD, NekDouble > &coords_3=NullNekDouble1DArray) |
this function returns the physical coordinates of the quadrature points of the expansion More... | |
void | GetCoord (const Array< OneD, const NekDouble > &Lcoord, Array< OneD, NekDouble > &coord) |
given the coordinates of a point of the element in the local collapsed coordinate system, this function calculates the physical coordinates of the point More... | |
DNekMatSharedPtr | GetStdMatrix (const StdMatrixKey &mkey) |
DNekBlkMatSharedPtr | GetStdStaticCondMatrix (const StdMatrixKey &mkey) |
IndexMapValuesSharedPtr | GetIndexMap (const IndexMapKey &ikey) |
const Array< OneD, const NekDouble > & | GetPhysNormals (void) |
void | SetPhysNormals (Array< OneD, const NekDouble > &normal) |
virtual void | SetUpPhysNormals (const int edge) |
void | NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, Array< OneD, NekDouble > &outarray) |
void | NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, const Array< OneD, NekDouble > &Fy, Array< OneD, NekDouble > &outarray) |
void | NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, const Array< OneD, const NekDouble > &Fz, Array< OneD, NekDouble > &outarray) |
void | NormVectorIProductWRTBase (const Array< OneD, const Array< OneD, NekDouble > > &Fvec, Array< OneD, NekDouble > &outarray) |
DNekScalBlkMatSharedPtr | GetLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey) |
void | DropLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey) |
StdRegions::Orientation | GetForient (int face) |
StdRegions::Orientation | GetEorient (int edge) |
StdRegions::Orientation | GetPorient (int point) |
StdRegions::Orientation | GetCartesianEorient (int edge) |
void | SetCoeffsToOrientation (Array< OneD, NekDouble > &coeffs, StdRegions::Orientation dir) |
void | SetCoeffsToOrientation (StdRegions::Orientation dir, Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
int | CalcNumberOfCoefficients (const std::vector< unsigned int > &nummodes, int &modes_offset) |
NekDouble | StdPhysEvaluate (const Array< OneD, const NekDouble > &Lcoord, const Array< OneD, const NekDouble > &physvals) |
int | GetCoordim () |
void | GetBoundaryMap (Array< OneD, unsigned int > &outarray) |
void | GetInteriorMap (Array< OneD, unsigned int > &outarray) |
int | GetVertexMap (const int localVertexId, bool useCoeffPacking=false) |
void | GetEdgeInteriorMap (const int eid, const Orientation edgeOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray) |
void | GetFaceNumModes (const int fid, const Orientation faceOrient, int &numModes0, int &numModes1) |
void | GetFaceInteriorMap (const int fid, const Orientation faceOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray) |
void | GetEdgeToElementMap (const int eid, const Orientation edgeOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, int P=-1) |
void | GetFaceToElementMap (const int fid, const Orientation faceOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, int nummodesA=-1, int nummodesB=-1) |
void | GetEdgePhysVals (const int edge, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
Extract the physical values along edge edge from inarray into outarray following the local edge orientation and point distribution defined by defined in EdgeExp. More... | |
void | GetEdgePhysVals (const int edge, const boost::shared_ptr< StdExpansion > &EdgeExp, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
void | GetTracePhysVals (const int edge, const boost::shared_ptr< StdExpansion > &EdgeExp, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
void | GetVertexPhysVals (const int vertex, const Array< OneD, const NekDouble > &inarray, NekDouble &outarray) |
void | GetEdgeInterpVals (const int edge, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
void | GetEdgeQFactors (const int edge, Array< OneD, NekDouble > &outarray) |
Extract the metric factors to compute the contravariant fluxes along edge edge and stores them into outarray following the local edge orientation (i.e. anticlockwise convention). More... | |
void | GetFacePhysVals (const int face, const boost::shared_ptr< StdExpansion > &FaceExp, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, StdRegions::Orientation orient=eNoOrientation) |
void | GetEdgePhysMap (const int edge, Array< OneD, int > &outarray) |
void | GetFacePhysMap (const int face, Array< OneD, int > &outarray) |
void | MultiplyByQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
void | MultiplyByStdQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
DNekMatSharedPtr | CreateGeneralMatrix (const StdMatrixKey &mkey) |
this function generates the mass matrix More... | |
void | GeneralMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) |
void | MassMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) |
void | LaplacianMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) |
void | ReduceOrderCoeffs (int numMin, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
void | SVVLaplacianFilter (Array< OneD, NekDouble > &array, const StdMatrixKey &mkey) |
void | LaplacianMatrixOp (const int k1, const int k2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) |
void | WeakDerivMatrixOp (const int i, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) |
void | WeakDirectionalDerivMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) |
void | MassLevelCurvatureMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) |
void | LinearAdvectionDiffusionReactionMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey, bool addDiffusionTerm=true) |
void | HelmholtzMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) |
DNekMatSharedPtr | GenMatrix (const StdMatrixKey &mkey) |
void | PhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1=NullNekDouble1DArray, Array< OneD, NekDouble > &out_d2=NullNekDouble1DArray) |
void | PhysDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
void | PhysDeriv_s (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_ds) |
void | PhysDeriv_n (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_dn) |
void | PhysDirectionalDeriv (const Array< OneD, const NekDouble > &inarray, const Array< OneD, const NekDouble > &direction, Array< OneD, NekDouble > &outarray) |
void | StdPhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1=NullNekDouble1DArray, Array< OneD, NekDouble > &out_d2=NullNekDouble1DArray) |
void | StdPhysDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
void | AddRobinMassMatrix (const int edgeid, const Array< OneD, const NekDouble > &primCoeffs, DNekMatSharedPtr &inoutmat) |
void | AddRobinEdgeContribution (const int edgeid, const Array< OneD, const NekDouble > &primCoeffs, Array< OneD, NekDouble > &coeffs) |
NekDouble | PhysEvaluate (const Array< OneD, const NekDouble > &coords, const Array< OneD, const NekDouble > &physvals) |
This function evaluates the expansion at a single (arbitrary) point of the domain. More... | |
NekDouble | PhysEvaluate (const Array< OneD, DNekMatSharedPtr > &I, const Array< OneD, const NekDouble > &physvals) |
This function evaluates the expansion at a single (arbitrary) point of the domain. More... | |
void | LocCoordToLocCollapsed (const Array< OneD, const NekDouble > &xi, Array< OneD, NekDouble > &eta) |
Convert local cartesian coordinate xi into local collapsed coordinates eta. More... | |
const boost::shared_ptr < SpatialDomains::GeomFactors > & | GetMetricInfo (void) const |
virtual int | v_GetElmtId () |
Get the element id of this expansion when used in a list by returning value of m_elmt_id. More... | |
virtual const Array< OneD, const NekDouble > & | v_GetPhysNormals (void) |
virtual void | v_SetPhysNormals (Array< OneD, const NekDouble > &normal) |
virtual void | v_SetUpPhysNormals (const int edge) |
virtual void | v_NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, Array< OneD, NekDouble > &outarray) |
virtual void | v_NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, Array< OneD, NekDouble > &outarray) |
virtual void | v_NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, const Array< OneD, const NekDouble > &Fz, Array< OneD, NekDouble > &outarray) |
virtual StdRegions::Orientation | v_GetEorient (int edge) |
virtual StdRegions::Orientation | v_GetCartesianEorient (int edge) |
virtual StdRegions::Orientation | v_GetPorient (int point) |
NekDouble | Linf (const Array< OneD, const NekDouble > &phys, const Array< OneD, const NekDouble > &sol=NullNekDouble1DArray) |
Function to evaluate the discrete error where is given by the array sol. More... | |
NekDouble | L2 (const Array< OneD, const NekDouble > &phys, const Array< OneD, const NekDouble > &sol=NullNekDouble1DArray) |
Function to evaluate the discrete error, where is given by the array sol. More... | |
NekDouble | H1 (const Array< OneD, const NekDouble > &phys, const Array< OneD, const NekDouble > &sol=NullNekDouble1DArray) |
Function to evaluate the discrete error, where is given by the array sol. More... | |
const NormalVector & | GetEdgeNormal (const int edge) const |
void | ComputeEdgeNormal (const int edge) |
void | NegateEdgeNormal (const int edge) |
bool | EdgeNormalNegated (const int edge) |
void | ComputeFaceNormal (const int face) |
void | NegateFaceNormal (const int face) |
bool | FaceNormalNegated (const int face) |
void | ComputeVertexNormal (const int vertex) |
const NormalVector & | GetFaceNormal (const int face) const |
const NormalVector & | GetVertexNormal (const int vertex) const |
const NormalVector & | GetSurfaceNormal (const int id) const |
const LibUtilities::PointsKeyVector | GetPointsKeys () const |
Array< OneD, unsigned int > | GetEdgeInverseBoundaryMap (int eid) |
Array< OneD, unsigned int > | GetFaceInverseBoundaryMap (int fid, StdRegions::Orientation faceOrient=eNoOrientation) |
DNekMatSharedPtr | BuildInverseTransformationMatrix (const DNekScalMatSharedPtr &m_transformationmatrix) |
void | PhysInterpToSimplexEquiSpaced (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, int npset=-1) |
This function performs an interpolation from the physical space points provided at input into an array of equispaced points which are not the collapsed coordinate. So for a tetrahedron you will only get a tetrahedral number of values. More... | |
void | GetSimplexEquiSpacedConnectivity (Array< OneD, int > &conn, bool standard=true) |
This function provides the connectivity of local simplices (triangles or tets) to connect the equispaced data points provided by PhysInterpToSimplexEquiSpaced. More... | |
void | EquiSpacedToCoeffs (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
This function performs a projection/interpolation from the equispaced points sometimes used in post-processing onto the coefficient space. More... | |
template<class T > | |
boost::shared_ptr< T > | as () |
void | IProductWRTBase_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool multiplybyweights=true) |
Public Member Functions inherited from Nektar::LocalRegions::Expansion3D | |
Expansion3D (SpatialDomains::Geometry3DSharedPtr pGeom) | |
virtual | ~Expansion3D () |
void | SetFaceExp (const int face, Expansion2DSharedPtr &f) |
Expansion2DSharedPtr | GetFaceExp (const int face) |
void | SetTraceToGeomOrientation (Array< OneD, NekDouble > &inout) |
Align trace orientation with the geometry orientation. More... | |
void | SetFaceToGeomOrientation (const int face, Array< OneD, NekDouble > &inout) |
Align face orientation with the geometry orientation. More... | |
void | AddHDGHelmholtzFaceTerms (const NekDouble tau, const int edge, Array< OneD, NekDouble > &facePhys, const StdRegions::VarCoeffMap &dirForcing, Array< OneD, NekDouble > &outarray) |
void | AddNormTraceInt (const int dir, Array< OneD, ExpansionSharedPtr > &FaceExp, Array< OneD, Array< OneD, NekDouble > > &faceCoeffs, Array< OneD, NekDouble > &outarray) |
void | AddNormTraceInt (const int dir, Array< OneD, const NekDouble > &inarray, Array< OneD, ExpansionSharedPtr > &FaceExp, Array< OneD, NekDouble > &outarray, const StdRegions::VarCoeffMap &varcoeffs) |
void | AddFaceBoundaryInt (const int face, ExpansionSharedPtr &FaceExp, Array< OneD, NekDouble > &facePhys, Array< OneD, NekDouble > &outarray, const StdRegions::VarCoeffMap &varcoeffs=StdRegions::NullVarCoeffMap) |
SpatialDomains::Geometry3DSharedPtr | GetGeom3D () const |
void | ReOrientFacePhysMap (const int nvert, const StdRegions::Orientation orient, const int nq0, const int nq1, Array< OneD, int > &idmap) |
void | v_NormVectorIProductWRTBase (const Array< OneD, const Array< OneD, NekDouble > > &Fvec, Array< OneD, NekDouble > &outarray) |
Public Member Functions inherited from Nektar::LocalRegions::Expansion | |
Expansion (SpatialDomains::GeometrySharedPtr pGeom) | |
Expansion (const Expansion &pSrc) | |
virtual | ~Expansion () |
DNekScalMatSharedPtr | GetLocMatrix (const LocalRegions::MatrixKey &mkey) |
DNekScalMatSharedPtr | GetLocMatrix (const StdRegions::MatrixType mtype, const StdRegions::ConstFactorMap &factors=StdRegions::NullConstFactorMap, const StdRegions::VarCoeffMap &varcoeffs=StdRegions::NullVarCoeffMap) |
SpatialDomains::GeometrySharedPtr | GetGeom () const |
void | Reset () |
virtual const SpatialDomains::GeomFactorsSharedPtr & | v_GetMetricInfo () const |
DNekMatSharedPtr | BuildTransformationMatrix (const DNekScalMatSharedPtr &r_bnd, const StdRegions::MatrixType matrixType) |
DNekMatSharedPtr | BuildVertexMatrix (const DNekScalMatSharedPtr &r_bnd) |
void | ExtractDataToCoeffs (const NekDouble *data, const std::vector< unsigned int > &nummodes, const int nmodes_offset, NekDouble *coeffs, std::vector< LibUtilities::BasisType > &fromType) |
void | AddEdgeNormBoundaryInt (const int edge, const boost::shared_ptr< Expansion > &EdgeExp, const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, Array< OneD, NekDouble > &outarray) |
void | AddEdgeNormBoundaryInt (const int edge, const boost::shared_ptr< Expansion > &EdgeExp, const Array< OneD, const NekDouble > &Fn, Array< OneD, NekDouble > &outarray) |
void | AddFaceNormBoundaryInt (const int face, const boost::shared_ptr< Expansion > &FaceExp, const Array< OneD, const NekDouble > &Fn, Array< OneD, NekDouble > &outarray) |
void | DGDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, ExpansionSharedPtr > &EdgeExp, Array< OneD, Array< OneD, NekDouble > > &coeffs, Array< OneD, NekDouble > &outarray) |
Protected Member Functions | |
virtual NekDouble | v_Integral (const Array< OneD, const NekDouble > &inarray) |
Integrate the physical point list inarray over region. More... | |
virtual void | v_PhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1, Array< OneD, NekDouble > &out_d2) |
Calculate the derivative of the physical points. More... | |
virtual void | v_PhysDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
Calculate the derivative of the physical points in a single direction. More... | |
virtual void | v_FwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
Forward transform from physical quadrature space stored in inarray and evaluate the expansion coefficients and store in (this)->_coeffs. More... | |
virtual void | v_IProductWRTBase (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
Calculate the inner product of inarray with respect to the elements basis. More... | |
virtual void | v_IProductWRTBase_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool multiplybyweights=true) |
Calculate the inner product of inarray with respect to the given basis B = base0 * base1 * base2. More... | |
virtual void | v_IProductWRTDerivBase (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
void | IProductWRTDerivBase_SumFac (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
Calculates the inner product . More... | |
void | IProductWRTDerivBase_MatOp (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
virtual NekDouble | v_StdPhysEvaluate (const Array< OneD, const NekDouble > &Lcoord, const Array< OneD, const NekDouble > &physvals) |
virtual NekDouble | v_PhysEvaluate (const Array< OneD, const NekDouble > &coords, const Array< OneD, const NekDouble > &physvals) |
This function evaluates the expansion at a single (arbitrary) point of the domain. More... | |
virtual void | v_GetCoord (const Array< OneD, const NekDouble > &Lcoords, Array< OneD, NekDouble > &coords) |
Retrieves the physical coordinates of a given set of reference coordinates. More... | |
virtual void | v_GetCoords (Array< OneD, NekDouble > &coords_1, Array< OneD, NekDouble > &coords_2, Array< OneD, NekDouble > &coords_3) |
virtual LibUtilities::ShapeType | v_DetShapeType () const |
Return the region shape using the enum-list of ShapeType. More... | |
virtual StdRegions::StdExpansionSharedPtr | v_GetStdExp (void) const |
virtual StdRegions::StdExpansionSharedPtr | v_GetLinStdExp (void) const |
virtual void | v_ExtractDataToCoeffs (const NekDouble *data, const std::vector< unsigned int > &nummodes, const int mode_offset, NekDouble *coeffs, std::vector< LibUtilities::BasisType > &fromType) |
virtual bool | v_GetFaceDGForwards (const int i) const |
virtual void | v_GetFacePhysMap (const int face, Array< OneD, int > &outarray) |
void | v_ComputeFaceNormal (const int face) |
virtual void | v_MassMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey) |
virtual void | v_LaplacianMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey) |
virtual void | v_LaplacianMatrixOp (const int k1, const int k2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey) |
virtual void | v_WeakDerivMatrixOp (const int i, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey) |
virtual void | v_WeakDirectionalDerivMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey) |
virtual void | v_MassLevelCurvatureMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey) |
virtual void | v_HelmholtzMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey) |
void | v_GeneralMatrixOp_MatOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey) |
virtual void | v_ReduceOrderCoeffs (int numMin, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
virtual void | v_SVVLaplacianFilter (Array< OneD, NekDouble > &array, const StdRegions::StdMatrixKey &mkey) |
virtual DNekMatSharedPtr | v_GenMatrix (const StdRegions::StdMatrixKey &mkey) |
virtual DNekMatSharedPtr | v_CreateStdMatrix (const StdRegions::StdMatrixKey &mkey) |
DNekScalMatSharedPtr | CreateMatrix (const MatrixKey &mkey) |
DNekScalBlkMatSharedPtr | CreateStaticCondMatrix (const MatrixKey &mkey) |
virtual DNekScalMatSharedPtr | v_GetLocMatrix (const MatrixKey &mkey) |
virtual DNekScalBlkMatSharedPtr | v_GetLocStaticCondMatrix (const MatrixKey &mkey) |
void | v_DropLocStaticCondMatrix (const MatrixKey &mkey) |
virtual void | v_ComputeLaplacianMetric () |
Protected Member Functions inherited from Nektar::StdRegions::StdHexExp | |
virtual void | v_StdPhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1, Array< OneD, NekDouble > &out_d2) |
virtual void | v_StdPhysDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
virtual void | v_BwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
virtual void | v_BwdTrans_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
virtual void | v_BwdTrans_SumFacKernel (const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &base2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0, bool doCheckCollDir1, bool doCheckCollDir2) |
virtual void | v_IProductWRTBase_MatOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
virtual void | v_IProductWRTBase_SumFacKernel (const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &base2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0, bool doCheckCollDir1, bool doCheckCollDir2) |
virtual void | v_IProductWRTDerivBase_MatOp (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
virtual void | v_IProductWRTDerivBase_SumFac (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
virtual void | v_LocCoordToLocCollapsed (const Array< OneD, const NekDouble > &xi, Array< OneD, NekDouble > &eta) |
virtual void | v_FillMode (const int mode, Array< OneD, NekDouble > &outarray) |
virtual int | v_GetNverts () const |
virtual int | v_GetNedges () const |
virtual int | v_GetNfaces () const |
virtual int | v_NumBndryCoeffs () const |
virtual int | v_NumDGBndryCoeffs () const |
virtual int | v_GetEdgeNcoeffs (const int i) const |
virtual int | v_GetTotalEdgeIntNcoeffs () const |
virtual int | v_GetFaceNcoeffs (const int i) const |
virtual int | v_GetFaceIntNcoeffs (const int i) const |
virtual int | v_GetTotalFaceIntNcoeffs () const |
virtual int | v_GetFaceNumPoints (const int i) const |
virtual LibUtilities::PointsKey | v_GetFacePointsKey (const int i, const int j) const |
virtual int | v_CalcNumberOfCoefficients (const std::vector< unsigned int > &nummodes, int &modes_offset) |
virtual const LibUtilities::BasisKey | v_DetFaceBasisKey (const int i, const int k) const |
virtual LibUtilities::BasisType | v_GetEdgeBasisType (const int i) const |
virtual bool | v_IsBoundaryInteriorExpansion () |
virtual void | v_GetFaceNumModes (const int fid, const Orientation faceOrient, int &numModes0, int &numModes1) |
virtual void | v_GetFaceToElementMap (const int fid, const Orientation faceOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, int nummodesA=-1, int nummodesB=-1) |
virtual int | v_GetVertexMap (int localVertexId, bool useCoeffPacking=false) |
virtual void | v_GetEdgeInteriorMap (const int eid, const Orientation edgeOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray) |
virtual void | v_GetFaceInteriorMap (const int fid, const Orientation faceOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray) |
virtual void | v_GetInteriorMap (Array< OneD, unsigned int > &outarray) |
virtual void | v_GetBoundaryMap (Array< OneD, unsigned int > &outarray) |
virtual void | v_MultiplyByStdQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
Protected Member Functions inherited from Nektar::StdRegions::StdExpansion3D | |
virtual NekDouble | v_PhysEvaluate (const Array< OneD, DNekMatSharedPtr > &I, const Array< OneD, const NekDouble > &physvals) |
virtual void | v_LaplacianMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey) |
virtual void | v_HelmholtzMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey) |
virtual void | v_NegateFaceNormal (const int face) |
virtual bool | v_FaceNormalNegated (const int face) |
virtual int | v_GetTraceNcoeffs (const int i) const |
Protected Member Functions inherited from Nektar::StdRegions::StdExpansion | |
DNekMatSharedPtr | CreateStdMatrix (const StdMatrixKey &mkey) |
DNekBlkMatSharedPtr | CreateStdStaticCondMatrix (const StdMatrixKey &mkey) |
Create the static condensation of a matrix when using a boundary interior decomposition. More... | |
IndexMapValuesSharedPtr | CreateIndexMap (const IndexMapKey &ikey) |
Create an IndexMap which contains mapping information linking any specific element shape with either its boundaries, edges, faces, verteces, etc. More... | |
void | BwdTrans_MatOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
void | BwdTrans_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
void | IProductWRTDerivBase_SumFac (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
void | GeneralMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) |
void | MassMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) |
void | LaplacianMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) |
void | LaplacianMatrixOp_MatFree_Kernel (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp) |
void | LaplacianMatrixOp_MatFree_GenericImpl (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) |
void | LaplacianMatrixOp_MatFree (const int k1, const int k2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) |
void | WeakDerivMatrixOp_MatFree (const int i, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) |
void | WeakDirectionalDerivMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) |
void | MassLevelCurvatureMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) |
void | LinearAdvectionDiffusionReactionMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey, bool addDiffusionTerm=true) |
void | HelmholtzMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) |
void | HelmholtzMatrixOp_MatFree_GenericImpl (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) |
virtual void | v_SetCoeffsToOrientation (StdRegions::Orientation dir, Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
virtual void | v_SetCoeffsToOrientation (Array< OneD, NekDouble > &coeffs, StdRegions::Orientation dir) |
Protected Member Functions inherited from Nektar::LocalRegions::Expansion3D | |
virtual void | v_DGDeriv (const int dir, const Array< OneD, const NekDouble > &incoeffs, Array< OneD, ExpansionSharedPtr > &FaceExp, Array< OneD, Array< OneD, NekDouble > > &faceCoeffs, Array< OneD, NekDouble > &out_d) |
Evaluate coefficients of weak deriviative in the direction dir given the input coefficicents incoeffs and the imposed boundary values in EdgeExp (which will have its phys space updated). More... | |
virtual void | v_AddFaceNormBoundaryInt (const int face, const ExpansionSharedPtr &FaceExp, const Array< OneD, const NekDouble > &Fn, Array< OneD, NekDouble > &outarray) |
virtual void | v_AddRobinMassMatrix (const int face, const Array< OneD, const NekDouble > &primCoeffs, DNekMatSharedPtr &inoutmat) |
virtual StdRegions::Orientation | v_GetForient (int face) |
virtual void | v_GetTracePhysVals (const int face, const StdRegions::StdExpansionSharedPtr &FaceExp, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, StdRegions::Orientation orient) |
Returns the physical values at the quadrature points of a face Wrapper function to v_GetFacePhysVals. More... | |
virtual void | v_GetFacePhysVals (const int face, const StdRegions::StdExpansionSharedPtr &FaceExp, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, StdRegions::Orientation orient) |
virtual Array< OneD, unsigned int > | v_GetEdgeInverseBoundaryMap (int eid) |
virtual Array< OneD, unsigned int > | v_GetFaceInverseBoundaryMap (int fid, StdRegions::Orientation faceOrient=StdRegions::eNoOrientation) |
virtual DNekMatSharedPtr | v_BuildTransformationMatrix (const DNekScalMatSharedPtr &r_bnd, const StdRegions::MatrixType matrixType) |
virtual DNekMatSharedPtr | v_BuildInverseTransformationMatrix (const DNekScalMatSharedPtr &m_transformationmatrix) |
Build inverse and inverse transposed transformation matrix: and . More... | |
virtual DNekMatSharedPtr | v_BuildVertexMatrix (const DNekScalMatSharedPtr &r_bnd) |
void | ReOrientTriFacePhysMap (const StdRegions::Orientation orient, const int nq0, const int nq1, Array< OneD, int > &idmap) |
void | ReOrientQuadFacePhysMap (const StdRegions::Orientation orient, const int nq0, const int nq1, Array< OneD, int > &idmap) |
Protected Member Functions inherited from Nektar::LocalRegions::Expansion | |
void | ComputeLaplacianMetric () |
void | ComputeQuadratureMetric () |
virtual void | v_MultiplyByQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
virtual void | v_AddEdgeNormBoundaryInt (const int edge, const boost::shared_ptr< Expansion > &EdgeExp, const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, Array< OneD, NekDouble > &outarray) |
virtual void | v_AddEdgeNormBoundaryInt (const int edge, const boost::shared_ptr< Expansion > &EdgeExp, const Array< OneD, const NekDouble > &Fn, Array< OneD, NekDouble > &outarray) |
virtual void | v_AddFaceNormBoundaryInt (const int face, const boost::shared_ptr< Expansion > &FaceExp, const Array< OneD, const NekDouble > &Fn, Array< OneD, NekDouble > &outarray) |
Private Member Functions | |
HexExp () | |
virtual void | v_LaplacianMatrixOp_MatFree_Kernel (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp) |
Additional Inherited Members | |
Protected Attributes inherited from Nektar::StdRegions::StdExpansion3D | |
std::map< int, NormalVector > | m_faceNormals |
std::map< int, bool > | m_negatedNormals |
Protected Attributes inherited from Nektar::StdRegions::StdExpansion | |
Array< OneD, LibUtilities::BasisSharedPtr > | m_base |
int | m_elmt_id |
int | m_ncoeffs |
LibUtilities::NekManager < StdMatrixKey, DNekMat, StdMatrixKey::opLess > | m_stdMatrixManager |
LibUtilities::NekManager < StdMatrixKey, DNekBlkMat, StdMatrixKey::opLess > | m_stdStaticCondMatrixManager |
LibUtilities::NekManager < IndexMapKey, IndexMapValues, IndexMapKey::opLess > | m_IndexMapManager |
Protected Attributes inherited from Nektar::LocalRegions::Expansion | |
SpatialDomains::GeometrySharedPtr | m_geom |
SpatialDomains::GeomFactorsSharedPtr | m_metricinfo |
MetricMap | m_metrics |
Nektar::LocalRegions::HexExp::HexExp | ( | const LibUtilities::BasisKey & | Ba, |
const LibUtilities::BasisKey & | Bb, | ||
const LibUtilities::BasisKey & | Bc, | ||
const SpatialDomains::HexGeomSharedPtr & | geom | ||
) |
Constructor using BasisKey class for quadrature points and order definition.
Ba | Basis key for first coordinate. |
Bb | Basis key for second coordinate. |
Bc | Basis key for third coordinate. |
Definition at line 61 of file HexExp.cpp.
Nektar::LocalRegions::HexExp::HexExp | ( | const HexExp & | T | ) |
Copy Constructor.
T | HexExp to copy. |
Definition at line 85 of file HexExp.cpp.
Nektar::LocalRegions::HexExp::~HexExp | ( | ) |
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Definition at line 1374 of file HexExp.cpp.
References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), ASSERTL2, Nektar::LocalRegions::Expansion::BuildTransformationMatrix(), Nektar::LocalRegions::Expansion::BuildVertexMatrix(), Nektar::StdRegions::StdMatrixKey::ConstFactorExists(), Nektar::StdRegions::StdExpansion::DetShapeType(), Nektar::SpatialDomains::eDeformed, Nektar::StdRegions::eFactorLambda, Nektar::StdRegions::eFactorSVVCutoffRatio, Nektar::StdRegions::eHelmholtz, Nektar::StdRegions::eHybridDGHelmBndLam, Nektar::StdRegions::eHybridDGHelmholtz, Nektar::StdRegions::eHybridDGLamToQ0, Nektar::StdRegions::eHybridDGLamToQ1, Nektar::StdRegions::eHybridDGLamToQ2, Nektar::StdRegions::eHybridDGLamToU, Nektar::StdRegions::eInvHybridDGHelmholtz, Nektar::StdRegions::eInvLaplacianWithUnityMean, Nektar::StdRegions::eInvMass, Nektar::StdRegions::eIProductWRTBase, Nektar::StdRegions::eLaplacian, Nektar::StdRegions::eLaplacian00, Nektar::StdRegions::eLaplacian01, Nektar::StdRegions::eLaplacian02, Nektar::StdRegions::eLaplacian11, Nektar::StdRegions::eLaplacian12, Nektar::StdRegions::eLaplacian22, Nektar::StdRegions::eMass, Nektar::SpatialDomains::eNoGeomType, Nektar::StdRegions::ePreconLinearSpace, Nektar::StdRegions::ePreconLinearSpaceMass, Nektar::StdRegions::ePreconR, Nektar::StdRegions::ePreconRMass, Nektar::StdRegions::ePreconRT, Nektar::StdRegions::ePreconRTMass, Nektar::StdRegions::eWeakDeriv0, Nektar::StdRegions::eWeakDeriv1, Nektar::StdRegions::eWeakDeriv2, Nektar::StdRegions::StdExpansion::GenMatrix(), Nektar::StdRegions::StdMatrixKey::GetConstFactor(), Nektar::StdRegions::StdMatrixKey::GetConstFactors(), Nektar::StdRegions::StdExpansion::GetLocStaticCondMatrix(), Nektar::StdRegions::StdMatrixKey::GetMatrixType(), Nektar::StdRegions::StdMatrixKey::GetNVarCoeff(), Nektar::StdRegions::StdExpansion::GetPointsKeys(), Nektar::StdRegions::StdMatrixKey::GetShapeType(), Nektar::StdRegions::StdExpansion::GetStdMatrix(), Nektar::StdRegions::StdMatrixKey::GetVarCoeffs(), m_matrixManager, Nektar::LocalRegions::Expansion::m_metricinfo, and Nektar::Transpose().
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Definition at line 1699 of file HexExp.cpp.
References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), ASSERTL2, Nektar::SpatialDomains::eDeformed, Nektar::StdRegions::eHelmholtz, Nektar::StdRegions::eLaplacian, Nektar::SpatialDomains::eNoGeomType, Nektar::StdRegions::StdExpansion::GetBoundaryMap(), Nektar::StdRegions::StdExpansion::GetInteriorMap(), Nektar::LocalRegions::Expansion::GetLocMatrix(), Nektar::StdRegions::StdMatrixKey::GetMatrixType(), Nektar::StdRegions::StdMatrixKey::GetNVarCoeff(), Nektar::StdRegions::StdExpansion::GetStdStaticCondMatrix(), Nektar::LocalRegions::Expansion::m_metricinfo, Nektar::StdRegions::StdExpansion::m_ncoeffs, and Nektar::StdRegions::StdExpansion::NumBndryCoeffs().
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Definition at line 492 of file HexExp.cpp.
References ASSERTL1, Nektar::StdRegions::StdExpansion::DetShapeType(), Nektar::StdRegions::eIProductWRTDerivBase0, Nektar::StdRegions::eIProductWRTDerivBase1, Nektar::StdRegions::eIProductWRTDerivBase2, Nektar::StdRegions::StdExpansion::GetTotPoints(), m_matrixManager, and Nektar::StdRegions::StdExpansion::m_ncoeffs.
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Calculates the inner product .
The derivative of the basis functions is performed using the chain rule in order to incorporate the geometric factors. Assuming that the basis functions are a tensor product , in the hexahedral element, this is straightforward and yields the result
dir | Direction in which to take the derivative. |
inarray | The function . |
outarray | Value of the inner product. |
Definition at line 430 of file HexExp.cpp.
References ASSERTL1, Nektar::SpatialDomains::eDeformed, Nektar::StdRegions::StdExpansion::GetPointsKeys(), Nektar::StdRegions::StdExpansion3D::IProductWRTBase_SumFacKernel(), Nektar::StdRegions::StdExpansion::m_base, Nektar::LocalRegions::Expansion::m_metricinfo, Nektar::StdRegions::StdExpansion::m_ncoeffs, Nektar::StdRegions::StdExpansion::MultiplyByQuadratureMetric(), Vmath::Smul(), Vmath::Vadd(), and Vmath::Vmul().
Referenced by v_IProductWRTDerivBase().
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Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 865 of file HexExp.cpp.
References ASSERTL0, Nektar::StdRegions::StdExpansion::DetFaceBasisKey(), Nektar::SpatialDomains::eMovingRegular, Nektar::SpatialDomains::eRegular, Vmath::Fill(), Nektar::StdRegions::StdExpansion::GetCoordim(), Nektar::LocalRegions::Expansion::GetGeom(), Nektar::LibUtilities::BasisKey::GetNumPoints(), Nektar::LibUtilities::BasisKey::GetPointsKey(), Nektar::StdRegions::StdExpansion::GetPointsKeys(), Nektar::LibUtilities::Interp2D(), Nektar::StdRegions::StdExpansion::m_base, Nektar::StdRegions::StdExpansion3D::m_faceNormals, Vmath::Sdiv(), Vmath::Vmul(), Vmath::Vsqrt(), Vmath::Vvtvp(), and Vmath::Zero().
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Reimplemented from Nektar::LocalRegions::Expansion.
Definition at line 1894 of file HexExp.cpp.
References Nektar::LocalRegions::Expansion::ComputeQuadratureMetric(), Nektar::SpatialDomains::eDeformed, Nektar::LocalRegions::eMetricLaplacian00, Nektar::LocalRegions::eMetricLaplacian01, Nektar::LocalRegions::eMetricLaplacian02, Nektar::LocalRegions::eMetricLaplacian11, Nektar::LocalRegions::eMetricLaplacian12, Nektar::LocalRegions::eMetricLaplacian22, Nektar::LocalRegions::eMetricQuadrature, Vmath::Fill(), Nektar::StdRegions::StdExpansion::GetPointsKeys(), Nektar::StdRegions::StdExpansion::GetTotPoints(), Nektar::LocalRegions::Expansion::m_metricinfo, Nektar::LocalRegions::Expansion::m_metrics, Nektar::StdRegions::StdExpansion::MultiplyByQuadratureMetric(), and Vmath::Vcopy().
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Reimplemented from Nektar::StdRegions::StdHexExp.
Definition at line 1360 of file HexExp.cpp.
References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), and Nektar::StdRegions::StdExpansion::m_base.
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Return the region shape using the enum-list of ShapeType.
Reimplemented from Nektar::StdRegions::StdHexExp.
Definition at line 622 of file HexExp.cpp.
References Nektar::LibUtilities::eHexahedron.
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Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 1825 of file HexExp.cpp.
References m_staticCondMatrixManager.
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Reimplemented from Nektar::LocalRegions::Expansion.
Definition at line 628 of file HexExp.cpp.
References ASSERTL0, ASSERTL1, Nektar::StdRegions::StdExpansion::BwdTrans(), Nektar::LibUtilities::eGaussLobattoLegendre, Nektar::LibUtilities::eGLL_Lagrange, Nektar::LibUtilities::eModified_A, Nektar::StdRegions::StdExpansion::FwdTrans(), Nektar::StdRegions::StdExpansion::GetBasisType(), Nektar::StdRegions::StdExpansion::GetNcoeffs(), Nektar::StdRegions::StdExpansion::GetTotPoints(), Nektar::LibUtilities::Interp3D(), Nektar::StdRegions::StdExpansion::m_base, Nektar::StdRegions::StdExpansion::m_ncoeffs, Vmath::Vcopy(), and Vmath::Zero().
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Forward transform from physical quadrature space stored in inarray and evaluate the expansion coefficients and store in (this)->_coeffs.
inarray | Input array |
outarray | Output array |
Reimplemented from Nektar::StdRegions::StdHexExp.
Definition at line 288 of file HexExp.cpp.
References Nektar::StdRegions::StdExpansion::DetShapeType(), Nektar::StdRegions::eInvMass, Nektar::eWrapper, Nektar::StdRegions::StdExpansion::GetNcoeffs(), Nektar::StdRegions::StdExpansion::IProductWRTBase(), Nektar::StdRegions::StdExpansion::m_base, m_matrixManager, Nektar::StdRegions::StdExpansion::m_ncoeffs, and Vmath::Vcopy().
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Reimplemented from Nektar::StdRegions::StdHexExp.
Definition at line 1176 of file HexExp.cpp.
References Nektar::LocalRegions::Expansion::GetLocMatrix(), Nektar::StdRegions::StdExpansion::m_ncoeffs, and Vmath::Vcopy().
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Reimplemented from Nektar::StdRegions::StdHexExp.
Definition at line 1336 of file HexExp.cpp.
References Nektar::StdRegions::eHybridDGHelmBndLam, Nektar::StdRegions::eHybridDGHelmholtz, Nektar::StdRegions::eHybridDGLamToQ0, Nektar::StdRegions::eHybridDGLamToQ1, Nektar::StdRegions::eHybridDGLamToQ2, Nektar::StdRegions::eHybridDGLamToU, Nektar::StdRegions::eInvLaplacianWithUnityMean, Nektar::StdRegions::StdMatrixKey::GetMatrixType(), and Nektar::LocalRegions::Expansion3D::v_GenMatrix().
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Retrieves the physical coordinates of a given set of reference coordinates.
Lcoords | Local coordinates in reference space. |
coords | Corresponding coordinates in physical space. |
Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 590 of file HexExp.cpp.
References ASSERTL1, and Nektar::LocalRegions::Expansion::m_geom.
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Reimplemented from Nektar::StdRegions::StdHexExp.
Definition at line 609 of file HexExp.cpp.
References Nektar::LocalRegions::Expansion::v_GetCoords().
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Definition at line 739 of file HexExp.cpp.
References Nektar::StdRegions::eDir1BwdDir1_Dir2BwdDir2, Nektar::StdRegions::eDir1BwdDir2_Dir2FwdDir1, Nektar::StdRegions::eDir1FwdDir1_Dir2FwdDir2, Nektar::StdRegions::eDir1FwdDir2_Dir2BwdDir1, and Nektar::LocalRegions::Expansion3D::GetGeom3D().
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Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 749 of file HexExp.cpp.
References ASSERTL0, and Nektar::StdRegions::StdExpansion::m_base.
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Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 570 of file HexExp.cpp.
References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), Nektar::StdRegions::StdExpansion::GetBasisType(), and Nektar::StdRegions::StdExpansion::m_base.
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Reimplemented from Nektar::LocalRegions::Expansion.
Definition at line 1813 of file HexExp.cpp.
References m_matrixManager.
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Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 1819 of file HexExp.cpp.
References m_staticCondMatrixManager.
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Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 561 of file HexExp.cpp.
References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), and Nektar::StdRegions::StdExpansion::m_base.
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Reimplemented from Nektar::StdRegions::StdHexExp.
Definition at line 1167 of file HexExp.cpp.
References Nektar::StdRegions::StdExpansion3D::v_HelmholtzMatrixOp_MatFree().
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Integrate the physical point list inarray over region.
inarray | definition of function to be returned at quadrature points of expansion. |
Reimplemented from Nektar::StdRegions::StdExpansion3D.
Definition at line 116 of file HexExp.cpp.
References Nektar::SpatialDomains::eDeformed, Nektar::StdRegions::StdExpansion::GetPointsKeys(), Nektar::StdRegions::StdExpansion::m_base, Nektar::LocalRegions::Expansion::m_metricinfo, Vmath::Smul(), and Vmath::Vmul().
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Calculate the inner product of inarray with respect to the elements basis.
inarray | Input array of physical space data. |
outarray | Output array of data. |
Reimplemented from Nektar::StdRegions::StdHexExp.
Definition at line 326 of file HexExp.cpp.
References v_IProductWRTBase_SumFac().
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Calculate the inner product of inarray with respect to the given basis B = base0 * base1 * base2.
where
which can be implemented as
base0 | Basis to integrate wrt in first dimension. |
base1 | Basis to integrate wrt in second dimension. |
base2 | Basis to integrate wrt in third dimension. |
inarray | Input array. |
outarray | Output array. |
coll_check | (not used) |
Reimplemented from Nektar::StdRegions::StdHexExp.
Definition at line 365 of file HexExp.cpp.
References Nektar::StdRegions::StdExpansion3D::IProductWRTBase_SumFacKernel(), Nektar::StdRegions::StdExpansion::m_base, and Nektar::StdRegions::StdExpansion::MultiplyByQuadratureMetric().
Referenced by v_IProductWRTBase().
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Reimplemented from Nektar::StdRegions::StdHexExp.
Definition at line 401 of file HexExp.cpp.
References IProductWRTDerivBase_SumFac().
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Reimplemented from Nektar::StdRegions::StdHexExp.
Definition at line 1121 of file HexExp.cpp.
References Nektar::StdRegions::StdExpansion3D::v_LaplacianMatrixOp_MatFree().
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Reimplemented from Nektar::StdRegions::StdHexExp.
Definition at line 1129 of file HexExp.cpp.
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Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 1830 of file HexExp.cpp.
References ASSERTL1, Nektar::LocalRegions::Expansion::ComputeLaplacianMetric(), Nektar::LocalRegions::eMetricLaplacian00, Nektar::LocalRegions::eMetricLaplacian01, Nektar::LocalRegions::eMetricLaplacian02, Nektar::LocalRegions::eMetricLaplacian11, Nektar::LocalRegions::eMetricLaplacian12, Nektar::LocalRegions::eMetricLaplacian22, Nektar::StdRegions::StdExpansion3D::IProductWRTBase_SumFacKernel(), Nektar::StdRegions::StdExpansion::m_base, Nektar::LocalRegions::Expansion::m_metrics, Nektar::StdRegions::StdExpansion::m_ncoeffs, Vmath::Vadd(), Vmath::Vvtvp(), and Vmath::Vvtvvtp().
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Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 1158 of file HexExp.cpp.
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Reimplemented from Nektar::StdRegions::StdHexExp.
Definition at line 1113 of file HexExp.cpp.
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Calculate the derivative of the physical points.
For Hexahedral region can use the Tensor_Deriv function defined under StdExpansion.
inarray | Input array |
out_d0 | Derivative of inarray in first direction. |
out_d1 | Derivative of inarray in second direction. |
out_d2 | Derivative of inarray in third direction. |
Reimplemented from Nektar::StdRegions::StdHexExp.
Definition at line 159 of file HexExp.cpp.
References Nektar::SpatialDomains::eDeformed, Nektar::StdRegions::StdExpansion::GetPointsKeys(), Nektar::StdRegions::StdExpansion::m_base, Nektar::LocalRegions::Expansion::m_metricinfo, Vmath::Smul(), Vmath::Vmul(), and Vmath::Vvtvp().
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Calculate the derivative of the physical points in a single direction.
dir | Direction in which to compute derivative. Valid values are 0, 1, 2. |
inarray | Input array. |
outarray | Output array. |
Reimplemented from Nektar::StdRegions::StdHexExp.
Definition at line 242 of file HexExp.cpp.
References ASSERTL1, Nektar::NullNekDouble1DArray, and Nektar::StdRegions::StdExpansion::PhysDeriv().
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This function evaluates the expansion at a single (arbitrary) point of the domain.
Based on the value of the expansion at the quadrature points, this function calculates the value of the expansion at an arbitrary single points (with coordinates given by the pointer coords). This operation, equivalent to
is evaluated using Lagrangian interpolants through the quadrature points:
This function requires that the physical value array (implemented as the attribute #phys) is set.
coords | the coordinates of the single point |
Reimplemented from Nektar::StdRegions::StdExpansion3D.
Definition at line 550 of file HexExp.cpp.
References ASSERTL0, and Nektar::LocalRegions::Expansion::m_geom.
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This function is used to compute exactly the advective numerical flux on the interface of two elements with different expansions, hence an appropriate number of Gauss points has to be used. The number of Gauss points has to be equal to the number used by the highest polynomial degree of the two adjacent elements
numMin | Is the reduced polynomial order |
inarray | Input array of coefficients |
dumpVar | Output array of reduced coefficients. |
Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 1235 of file HexExp.cpp.
References Nektar::LibUtilities::eGaussLobattoLegendre, Nektar::LibUtilities::eOrtho_A, Nektar::StdRegions::StdExpansion::GetBasisType(), Nektar::LibUtilities::InterpCoeff3D(), Nektar::StdRegions::StdExpansion::m_base, Vmath::Vcopy(), and Vmath::Zero().
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Given the local cartesian coordinate Lcoord evaluate the value of physvals at this point by calling through to the StdExpansion method
Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 542 of file HexExp.cpp.
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Reimplemented from Nektar::StdRegions::StdHexExp.
Definition at line 1304 of file HexExp.cpp.
References Nektar::SpatialDomains::eDeformed, Vmath::Fill(), Nektar::StdRegions::StdExpansion::GetPointsKeys(), Nektar::StdRegions::StdExpansion::GetTotPoints(), Nektar::LocalRegions::Expansion::m_metricinfo, Vmath::Vdiv(), Vmath::Vmul(), and Vmath::Vsqrt().
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Reimplemented from Nektar::StdRegions::StdHexExp.
Definition at line 1140 of file HexExp.cpp.
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Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 1149 of file HexExp.cpp.
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Definition at line 266 of file HexExp.h.
Referenced by CreateMatrix(), IProductWRTDerivBase_MatOp(), v_FwdTrans(), and v_GetLocMatrix().
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Definition at line 267 of file HexExp.h.
Referenced by v_DropLocStaticCondMatrix(), and v_GetLocStaticCondMatrix().