Nektar++
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Class representing a hexehedral element in reference space. More...
#include <StdHexExp.h>
Public Member Functions | |
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 |
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) |
void | ExtractDataToCoeffs (const NekDouble *data, const std::vector< unsigned int > &nummodes, const int nmodes_offset, NekDouble *coeffs) |
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 | 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_ExtractDataToCoeffs (const NekDouble *data, const std::vector< unsigned int > &nummodes, const int nmode_offset, NekDouble *coeffs) |
Unpack data from input file assuming it comes from the same expansion type. More... | |
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 void | v_NormVectorIProductWRTBase (const Array< OneD, const Array< OneD, NekDouble > > &Fvec, Array< OneD, NekDouble > &outarray) |
virtual DNekScalBlkMatSharedPtr | v_GetLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey) |
virtual void | v_DropLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey) |
virtual StdRegions::Orientation | v_GetForient (int face) |
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) |
Protected Member Functions | |
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) |
Differentiation Methods. More... | |
virtual void | v_PhysDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
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_FwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
virtual void | v_IProductWRTBase (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
virtual void | v_IProductWRTBase_MatOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
virtual void | v_IProductWRTBase_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool multbyweights=true) |
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 (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
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 LibUtilities::ShapeType | v_DetShapeType () 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_GetCoords (Array< OneD, NekDouble > &coords_x, Array< OneD, NekDouble > &coords_y, Array< OneD, NekDouble > &coords_z) |
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 DNekMatSharedPtr | v_GenMatrix (const StdMatrixKey &mkey) |
virtual DNekMatSharedPtr | v_CreateStdMatrix (const StdMatrixKey &mkey) |
virtual void | v_MassMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) |
virtual void | v_LaplacianMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) |
virtual void | v_LaplacianMatrixOp (const int k1, const int k2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) |
virtual void | v_WeakDerivMatrixOp (const int i, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) |
virtual void | v_HelmholtzMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) |
virtual void | v_GeneralMatrixOp_MatOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) |
virtual void | v_MultiplyByStdQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
virtual void | v_SVVLaplacianFilter (Array< OneD, NekDouble > &array, const StdMatrixKey &mkey) |
Protected Member Functions inherited from Nektar::StdRegions::StdExpansion3D | |
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 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 NekDouble | v_Integral (const Array< OneD, const NekDouble > &inarray) |
Integrates the specified function over the domain. More... | |
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) |
virtual NekDouble | v_StdPhysEvaluate (const Array< OneD, const NekDouble > &Lcoord, const Array< OneD, const NekDouble > &physvals) |
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 |
Class representing a hexehedral element in reference space.
Definition at line 48 of file StdHexExp.h.
Nektar::StdRegions::StdHexExp::StdHexExp | ( | ) |
Definition at line 47 of file StdHexExp.cpp.
Nektar::StdRegions::StdHexExp::StdHexExp | ( | const LibUtilities::BasisKey & | Ba, |
const LibUtilities::BasisKey & | Bb, | ||
const LibUtilities::BasisKey & | Bc | ||
) |
Definition at line 52 of file StdHexExp.cpp.
Nektar::StdRegions::StdHexExp::StdHexExp | ( | const LibUtilities::BasisKey & | Ba, |
const LibUtilities::BasisKey & | Bb, | ||
const LibUtilities::BasisKey & | Bc, | ||
NekDouble * | coeffs, | ||
NekDouble * | phys | ||
) |
Definition at line 63 of file StdHexExp.cpp.
Nektar::StdRegions::StdHexExp::StdHexExp | ( | const StdHexExp & | T | ) |
Definition at line 72 of file StdHexExp.cpp.
Nektar::StdRegions::StdHexExp::~StdHexExp | ( | ) |
Definition at line 79 of file StdHexExp.cpp.
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Backward transformation is three dimensional tensorial expansion And sumfactorizing step of the form is as:\
inarray | ? |
outarray | ? |
Implements Nektar::StdRegions::StdExpansion.
Definition at line 182 of file StdHexExp.cpp.
References ASSERTL1, Nektar::StdRegions::StdExpansion::BwdTrans_SumFac(), Nektar::LibUtilities::eModified_B, Nektar::LibUtilities::eModified_C, Nektar::LibUtilities::eOrtho_B, Nektar::LibUtilities::eOrtho_C, Nektar::StdRegions::StdExpansion::GetBasisType(), Nektar::StdRegions::StdExpansion::GetNumPoints(), Nektar::StdRegions::StdExpansion::m_base, and Vmath::Vcopy().
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Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 212 of file StdHexExp.cpp.
References Nektar::StdRegions::StdExpansion3D::BwdTrans_SumFacKernel(), Nektar::StdRegions::StdExpansion::GetNumPoints(), and Nektar::StdRegions::StdExpansion::m_base.
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base0 | x-dirn basis matrix |
base1 | y-dirn basis matrix |
base2 | z-dirn basis matrix |
inarray | Input vector of modes. |
outarray | Output vector of physical space data. |
wsp | Workspace of size Q_x*P_z*(P_y+Q_y) |
doCheckCollDir0 | Check for collocation of basis. |
doCheckCollDir1 | Check for collocation of basis. |
doCheckCollDir2 | Check for collocation of basis. |
Implements Nektar::StdRegions::StdExpansion3D.
Definition at line 239 of file StdHexExp.cpp.
References ASSERTL1, Nektar::StdRegions::StdExpansion::m_base, Nektar::StdRegions::StdExpansion::m_ncoeffs, and Vmath::Vcopy().
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Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 846 of file StdHexExp.cpp.
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protectedvirtual |
Reimplemented from Nektar::StdRegions::StdExpansion.
Reimplemented in Nektar::LocalRegions::HexExp.
Definition at line 2217 of file StdHexExp.cpp.
References Nektar::StdRegions::StdExpansion::CreateGeneralMatrix().
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Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 855 of file StdHexExp.cpp.
References ASSERTL2, Nektar::StdRegions::EvaluateQuadFaceBasisKey(), Nektar::StdRegions::StdExpansion::GetBasisType(), Nektar::StdRegions::StdExpansion::GetNumPoints(), and Nektar::StdRegions::StdExpansion::m_base.
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Reimplemented from Nektar::StdRegions::StdExpansion.
Reimplemented in Nektar::LocalRegions::HexExp.
Definition at line 691 of file StdHexExp.cpp.
References Nektar::LibUtilities::eHexahedron.
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Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 622 of file StdHexExp.cpp.
References ASSERTL2, Nektar::StdRegions::StdExpansion::m_base, Nektar::StdRegions::StdExpansion::m_ncoeffs, Vmath::Vcopy(), and Vmath::Vmul().
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Solves the system
inarray | array of physical quadrature points to be transformed, . |
outarray | array of expansion coefficients, . |
Implements Nektar::StdRegions::StdExpansion.
Reimplemented in Nektar::LocalRegions::HexExp.
Definition at line 303 of file StdHexExp.cpp.
References Nektar::StdRegions::StdExpansion::DetShapeType(), Nektar::StdRegions::eInvMass, Nektar::eWrapper, Nektar::StdRegions::StdExpansion::GetNcoeffs(), Nektar::StdRegions::StdExpansion::GetStdMatrix(), Nektar::StdRegions::StdExpansion::IProductWRTBase(), Nektar::StdRegions::StdExpansion::m_base, Nektar::StdRegions::StdExpansion::m_ncoeffs, and Vmath::Vcopy().
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Reimplemented in Nektar::LocalRegions::HexExp.
Definition at line 2269 of file StdHexExp.cpp.
References Nektar::StdRegions::StdExpansion::m_ncoeffs, Nektar::StdRegions::StdExpansion::m_stdMatrixManager, and Vmath::Vcopy().
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Reimplemented from Nektar::StdRegions::StdExpansion.
Reimplemented in Nektar::LocalRegions::HexExp.
Definition at line 2211 of file StdHexExp.cpp.
References Nektar::StdRegions::StdExpansion::CreateGeneralMatrix().
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outarray | Storage for computed map. |
Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 2120 of file StdHexExp.cpp.
References ASSERTL1, Nektar::LibUtilities::eGLL_Lagrange, Nektar::LibUtilities::eModified_A, Nektar::StdRegions::StdExpansion::GetBasisType(), Nektar::StdRegions::StdExpansion::m_base, and Nektar::StdRegions::StdExpansion::NumBndryCoeffs().
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Reimplemented from Nektar::StdRegions::StdExpansion.
Reimplemented in Nektar::LocalRegions::HexExp.
Definition at line 902 of file StdHexExp.cpp.
References Nektar::StdRegions::StdExpansion::GetNumPoints(), and Nektar::StdRegions::StdExpansion::m_base.
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Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 884 of file StdHexExp.cpp.
References ASSERTL2, and Nektar::StdRegions::StdExpansion::GetBasisType().
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eid | The edge to compute the numbering for. |
edgeOrient | Orientation of the edge. |
maparray | Storage for computed mapping array. |
signarray | ? |
Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 1418 of file StdHexExp.cpp.
References ASSERTL1, Nektar::StdRegions::eBackwards, Nektar::StdRegions::eForwards, Nektar::LibUtilities::eGLL_Lagrange, Nektar::LibUtilities::eModified_A, Nektar::StdRegions::StdExpansion::GetBasisType(), Nektar::StdRegions::StdExpansion::GetEdgeNcoeffs(), and Nektar::StdRegions::StdExpansion::m_base.
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Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 738 of file StdHexExp.cpp.
References ASSERTL2, and Nektar::StdRegions::StdExpansion::GetBasisNumModes().
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Generate mapping describing which elemental modes lie on the interior of a given face. Accounts for face orientation.
Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 1716 of file StdHexExp.cpp.
References ASSERTL1, Nektar::LibUtilities::eGLL_Lagrange, Nektar::LibUtilities::eModified_A, Nektar::StdRegions::StdExpansion::GetBasisType(), Nektar::StdRegions::StdExpansion::GetFaceIntNcoeffs(), and Nektar::StdRegions::StdExpansion::m_base.
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Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 780 of file StdHexExp.cpp.
References ASSERTL2, and Nektar::StdRegions::StdExpansion::GetBasisNumModes().
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Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 762 of file StdHexExp.cpp.
References ASSERTL2, and Nektar::StdRegions::StdExpansion::GetBasisNumModes().
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Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 805 of file StdHexExp.cpp.
References ASSERTL2, and Nektar::StdRegions::StdExpansion::m_base.
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Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 826 of file StdHexExp.cpp.
References ASSERTL2, and Nektar::StdRegions::StdExpansion::m_base.
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Only for basis type Modified_A or GLL_LAGRANGE in all directions.
Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 932 of file StdHexExp.cpp.
References ASSERTL0, ASSERTL1, Nektar::LibUtilities::eGLL_Lagrange, Nektar::LibUtilities::eModified_A, Nektar::StdRegions::StdExpansion::GetEdgeBasisType(), and Nektar::StdRegions::StdExpansion::m_base.
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outarray | Storage area for computed map. |
Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 2056 of file StdHexExp.cpp.
References ASSERTL1, Nektar::LibUtilities::eGLL_Lagrange, Nektar::LibUtilities::eModified_A, Nektar::StdRegions::StdExpansion::GetBasisType(), Nektar::StdRegions::StdExpansion::m_base, Nektar::StdRegions::StdExpansion::m_ncoeffs, and Nektar::StdRegions::StdExpansion::NumBndryCoeffs().
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Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 679 of file StdHexExp.cpp.
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Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 685 of file StdHexExp.cpp.
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Implements Nektar::StdRegions::StdExpansion.
Definition at line 673 of file StdHexExp.cpp.
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Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 756 of file StdHexExp.cpp.
References Nektar::StdRegions::StdExpansion::GetBasisNumModes().
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Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 798 of file StdHexExp.cpp.
References Nektar::StdRegions::StdExpansion::GetBasisNumModes().
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Expansions in each of the three dimensions must be of type LibUtilities::eModified_A or LibUtilities::eGLL_Lagrange.
localVertexId | ID of vertex (0..7) |
Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 1284 of file StdHexExp.cpp.
References ASSERTL1, Nektar::LibUtilities::eGLL_Lagrange, Nektar::LibUtilities::eModified_A, Nektar::StdRegions::StdExpansion::GetBasisType(), and Nektar::StdRegions::StdExpansion::m_base.
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Reimplemented from Nektar::StdRegions::StdExpansion.
Reimplemented in Nektar::LocalRegions::HexExp.
Definition at line 2260 of file StdHexExp.cpp.
References Nektar::StdRegions::StdExpansion3D::v_HelmholtzMatrixOp_MatFree().
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where
which can be implemented as
inarray | ? |
outarray | ? |
Implements Nektar::StdRegions::StdExpansion.
Reimplemented in Nektar::LocalRegions::HexExp.
Definition at line 364 of file StdHexExp.cpp.
References Nektar::StdRegions::StdExpansion::m_base, Nektar::StdRegions::StdExpansion::MultiplyByQuadratureMetric(), and v_IProductWRTBase_SumFac().
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Implementation of the local matrix inner product operation.
Definition at line 383 of file StdHexExp.cpp.
References Nektar::StdRegions::StdExpansion::DetShapeType(), Nektar::StdRegions::eIProductWRTBase, Nektar::StdRegions::StdExpansion::GetStdMatrix(), Nektar::StdRegions::StdExpansion::GetTotPoints(), and Nektar::StdRegions::StdExpansion::m_ncoeffs.
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Implementation of the sum-factorization inner product operation.
Reimplemented from Nektar::StdRegions::StdExpansion.
Reimplemented in Nektar::LocalRegions::HexExp.
Definition at line 397 of file StdHexExp.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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Implementation of the sum-factorisation inner product operation.
Implements Nektar::StdRegions::StdExpansion3D.
Definition at line 435 of file StdHexExp.cpp.
References ASSERTL1, Nektar::StdRegions::StdExpansion::m_base, Nektar::StdRegions::StdExpansion::m_ncoeffs, and Vmath::Vcopy().
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Reimplemented from Nektar::StdRegions::StdExpansion.
Reimplemented in Nektar::LocalRegions::HexExp.
Definition at line 522 of file StdHexExp.cpp.
References Nektar::StdRegions::StdExpansion::IProductWRTDerivBase_SumFac().
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Definition at line 530 of file StdHexExp.cpp.
References ASSERTL0, Nektar::StdRegions::StdExpansion::DetShapeType(), Nektar::StdRegions::eIProductWRTDerivBase0, Nektar::StdRegions::eIProductWRTDerivBase1, Nektar::StdRegions::eIProductWRTDerivBase2, Nektar::StdRegions::StdExpansion::GetStdMatrix(), Nektar::StdRegions::StdExpansion::GetTotPoints(), and Nektar::StdRegions::StdExpansion::m_ncoeffs.
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Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 560 of file StdHexExp.cpp.
References ASSERTL0, Nektar::StdRegions::StdExpansion3D::IProductWRTBase_SumFacKernel(), Nektar::StdRegions::StdExpansion::m_base, and Nektar::StdRegions::StdExpansion::MultiplyByQuadratureMetric().
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Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 83 of file StdHexExp.cpp.
References Nektar::LibUtilities::eModified_A, Nektar::StdRegions::StdExpansion::GetBasisType(), and Nektar::StdRegions::StdExpansion::m_base.
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Reimplemented from Nektar::StdRegions::StdExpansion.
Reimplemented in Nektar::LocalRegions::HexExp.
Definition at line 2232 of file StdHexExp.cpp.
References Nektar::StdRegions::StdExpansion3D::v_LaplacianMatrixOp_MatFree().
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Reimplemented from Nektar::StdRegions::StdExpansion.
Reimplemented in Nektar::LocalRegions::HexExp.
Definition at line 2241 of file StdHexExp.cpp.
References Nektar::StdRegions::StdExpansion::LaplacianMatrixOp_MatFree().
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Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 611 of file StdHexExp.cpp.
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Reimplemented from Nektar::StdRegions::StdExpansion.
Reimplemented in Nektar::LocalRegions::HexExp.
Definition at line 2223 of file StdHexExp.cpp.
References Nektar::StdRegions::StdExpansion::MassMatrixOp_MatFree().
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Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 2292 of file StdHexExp.cpp.
References Nektar::StdRegions::StdExpansion::m_base, Vmath::Smul(), and Vmath::Vmul().
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Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 697 of file StdHexExp.cpp.
References ASSERTL1, Nektar::LibUtilities::eGLL_Lagrange, Nektar::LibUtilities::eModified_A, Nektar::StdRegions::StdExpansion::GetBasisType(), and Nektar::StdRegions::StdExpansion::m_base.
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Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 718 of file StdHexExp.cpp.
References ASSERTL1, Nektar::LibUtilities::eGLL_Lagrange, Nektar::LibUtilities::eModified_A, Nektar::StdRegions::StdExpansion::GetBasisType(), and Nektar::StdRegions::StdExpansion::m_base.
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Differentiation Methods.
For Hexahedral region can use the PhysTensorDeriv function defined under StdExpansion. Following tenserproduct:
Reimplemented from Nektar::StdRegions::StdExpansion.
Reimplemented in Nektar::LocalRegions::HexExp.
Definition at line 98 of file StdHexExp.cpp.
References Nektar::StdRegions::StdExpansion3D::PhysTensorDeriv().
Referenced by v_StdPhysDeriv().
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dir | Direction in which to compute derivative. Valid values are 0, 1, 2. |
inarray | Input array. |
outarray | Output array. |
Reimplemented from Nektar::StdRegions::StdExpansion.
Reimplemented in Nektar::LocalRegions::HexExp.
Definition at line 113 of file StdHexExp.cpp.
References ASSERTL1, Nektar::NullNekDouble1DArray, and Nektar::StdRegions::StdExpansion::PhysDeriv().
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Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 145 of file StdHexExp.cpp.
References v_PhysDeriv().
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protectedvirtual |
Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 155 of file StdHexExp.cpp.
References v_PhysDeriv().
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Reimplemented from Nektar::StdRegions::StdExpansion.
Reimplemented in Nektar::LocalRegions::HexExp.
Definition at line 2325 of file StdHexExp.cpp.
References Nektar::StdRegions::StdExpansion::BwdTrans(), Nektar::StdRegions::eFactorSVVCutoffRatio, Nektar::StdRegions::eFactorSVVDiffCoeff, Nektar::LibUtilities::eOrtho_A, Nektar::StdRegions::StdExpansion::FwdTrans(), Nektar::StdRegions::StdMatrixKey::GetConstFactor(), Nektar::StdRegions::StdExpansion::GetNcoeffs(), Nektar::StdRegions::StdExpansion::GetPointsType(), and Nektar::StdRegions::StdExpansion::m_base.
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Reimplemented from Nektar::StdRegions::StdExpansion.
Reimplemented in Nektar::LocalRegions::HexExp.
Definition at line 2251 of file StdHexExp.cpp.
References Nektar::StdRegions::StdExpansion::WeakDerivMatrixOp_MatFree().