Nektar++
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#include <NodalTriExp.h>
Public Member Functions | |
NodalTriExp (const LibUtilities::BasisKey &Ba, const LibUtilities::BasisKey &Bb, const LibUtilities::PointsType Ntype, const SpatialDomains::TriGeomSharedPtr &geom) | |
Constructor using BasisKey class for quadrature points and order definition. | |
NodalTriExp (const NodalTriExp &T) | |
Copy Constructor. | |
~NodalTriExp () | |
Destructor. | |
void | GetCoords (Array< OneD, NekDouble > &coords_1, Array< OneD, NekDouble > &coords_2, Array< OneD, NekDouble > &coords_3=NullNekDouble1DArray) |
this function returns the physical coordinates of the quadrature points of the expansion | |
void | GetCoord (const Array< OneD, const NekDouble > &Lcoords, Array< OneD, NekDouble > &coords) |
given the coordinates of a point of the element in the local collapsed coordinate system, this function calculates the physical coordinates of the point | |
NekDouble | Integral (const Array< OneD, const NekDouble > &inarray) |
Integrate the physical point list inarray over region. | |
void | IProductWRTBase (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
Inner product of inarray over region with respect to the expansion basis (this)->_Base[0] and return in outarray. | |
void | IProductWRTDerivBase (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
void | PhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1, Array< OneD, NekDouble > &out_d2=NullNekDouble1DArray) |
Differentiation Methods ////////////////////////////. | |
void | 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. | |
NekDouble | PhysEvaluate (const Array< OneD, const NekDouble > &coord, const Array< OneD, const NekDouble > &physvals) |
This function evaluates the expansion at a single (arbitrary) point of the domain. | |
void | MassMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey) |
void | LaplacianMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey) |
void | LaplacianMatrixOp (const int k1, const int k2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey) |
void | WeakDerivMatrixOp (const int i, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey) |
void | HelmholtzMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey) |
Public Member Functions inherited from Nektar::StdRegions::StdNodalTriExp | |
StdNodalTriExp () | |
StdNodalTriExp (const LibUtilities::BasisKey &Ba, const LibUtilities::BasisKey &Bb, const LibUtilities::PointsType Ntype) | |
StdNodalTriExp (const StdNodalTriExp &T) | |
~StdNodalTriExp () | |
void | NodalToModal (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
void | NodalToModalTranspose (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
void | ModalToNodal (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
void | GetNodalPoints (Array< OneD, const NekDouble > &x, Array< OneD, const NekDouble > &y) |
DNekMatSharedPtr | GenNBasisTransMatrix () |
Public Member Functions inherited from Nektar::StdRegions::StdTriExp | |
StdTriExp () | |
StdTriExp (const LibUtilities::BasisKey &Ba, const LibUtilities::BasisKey &Bb) | |
StdTriExp (const StdTriExp &T) | |
~StdTriExp () | |
Public Member Functions inherited from Nektar::StdRegions::StdExpansion2D | |
StdExpansion2D () | |
StdExpansion2D (int numcoeffs, const LibUtilities::BasisKey &Ba, const LibUtilities::BasisKey &Bb) | |
StdExpansion2D (const StdExpansion2D &T) | |
virtual | ~StdExpansion2D () |
void | PhysTensorDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray_d0, Array< OneD, NekDouble > &outarray_d1) |
Calculate the 2D derivative in the local tensor/collapsed coordinate at the physical points. | |
NekDouble | Integral (const Array< OneD, const NekDouble > &inarray, const Array< OneD, const NekDouble > &w0, const Array< OneD, const NekDouble > &w1) |
void | BwdTrans_SumFacKernel (const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0=true, bool doCheckCollDir1=true) |
void | IProductWRTBase_SumFacKernel (const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0=true, bool doCheckCollDir1=true) |
Public Member Functions inherited from Nektar::StdRegions::StdExpansion | |
StdExpansion () | |
Default Constructor. | |
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. | |
StdExpansion (const StdExpansion &T) | |
Copy Constructor. | |
virtual | ~StdExpansion () |
Destructor. | |
int | GetNumBases () const |
This function returns the number of 1D bases used in the expansion. | |
const Array< OneD, const LibUtilities::BasisSharedPtr > & | GetBase () const |
This function gets the shared point to basis. | |
const LibUtilities::BasisSharedPtr & | GetBasis (int dir) const |
This function gets the shared point to basis in the dir direction. | |
int | GetNcoeffs (void) const |
This function returns the total number of coefficients used in the expansion. | |
int | GetTotPoints () const |
This function returns the total number of quadrature points used in the element. | |
LibUtilities::BasisType | GetBasisType (const int dir) const |
This function returns the type of basis used in the dir direction. | |
int | GetBasisNumModes (const int dir) const |
This function returns the number of expansion modes in the dir direction. | |
int | EvalBasisNumModesMax (void) const |
This function returns the maximum number of expansion modes over all local directions. | |
LibUtilities::PointsType | GetPointsType (const int dir) const |
This function returns the type of quadrature points used in the dir direction. | |
int | GetNumPoints (const int dir) const |
This function returns the number of quadrature points in the dir direction. | |
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. | |
int | GetNverts () const |
This function returns the number of vertices of the expansion domain. | |
int | GetNedges () const |
This function returns the number of edges of the expansion domain. | |
int | GetEdgeNcoeffs (const int i) const |
This function returns the number of expansion coefficients belonging to the i-th edge. | |
int | GetTotalEdgeIntNcoeffs () const |
int | GetEdgeNumPoints (const int i) const |
This function returns the number of quadrature points belonging to the i-th edge. | |
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. | |
int | GetFaceNcoeffs (const int i) const |
This function returns the number of expansion coefficients belonging to the i-th face. | |
int | GetFaceIntNcoeffs (const int i) const |
int | GetTotalFaceIntNcoeffs () const |
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. | |
int | GetNfaces () const |
This function returns the number of faces of the expansion domain. | |
LibUtilities::ShapeType | DetShapeType () const |
This function returns the shape of the expansion domain. | |
int | GetShapeDimension () const |
bool | IsBoundaryInteriorExpansion () |
void | BwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
This function performs the Backward transformation from coefficient space to physical space. | |
void | FwdTrans_BndConstrained (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
void | FillMode (const int mode, Array< OneD, NekDouble > &outarray) |
This function fills the array outarray with the mode-th mode of the expansion. | |
void | IProductWRTBase (const Array< OneD, const NekDouble > &base, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, int coll_check) |
int | GetElmtId () |
Get the element id of this expansion when used in a list by returning value of m_elmt_id. | |
void | SetElmtId (const int id) |
Set the element id of this expansion when used in a list by returning value of m_elmt_id. | |
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, const Array< OneD, const 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) |
DNekScalBlkMatSharedPtr | GetLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey) |
void | DropLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey) |
StdRegions::Orientation | GetFaceOrient (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) |
void | AddEdgeNormBoundaryInt (const int edge, boost::shared_ptr< StdExpansion > &EdgeExp, const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, Array< OneD, NekDouble > &outarray) |
void | AddEdgeNormBoundaryInt (const int edge, boost::shared_ptr< StdExpansion > &EdgeExp, const Array< OneD, const NekDouble > &Fn, Array< OneD, NekDouble > &outarray) |
void | AddEdgeNormBoundaryBiInt (const int edge, boost::shared_ptr< StdExpansion > &EdgeExp, const Array< OneD, const NekDouble > &Fwd, const Array< OneD, const NekDouble > &Bwd, Array< OneD, NekDouble > &outarray) |
void | AddFaceNormBoundaryInt (const int face, boost::shared_ptr< StdExpansion > &FaceExp, const Array< OneD, const NekDouble > &Fn, Array< OneD, NekDouble > &outarray) |
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) |
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. | |
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). | |
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 | 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 | |
void | GeneralMatrixOp (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 | 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) |
DNekMatSharedPtr | GenMatrix (const StdMatrixKey &mkey) |
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) |
void | DGDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, boost::shared_ptr< StdExpansion > > &EdgeExp, Array< OneD, Array< OneD, NekDouble > > &coeffs, Array< OneD, NekDouble > &outarray) |
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. | |
void | LocCoordToLocCollapsed (const Array< OneD, const NekDouble > &xi, Array< OneD, NekDouble > &eta) |
Convert local cartesian coordinate xi into local collapsed coordinates eta. | |
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. | |
virtual const Array< OneD, const NekDouble > & | v_GetPhysNormals (void) |
virtual void | v_SetPhysNormals (Array< OneD, const NekDouble > &normal) |
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. | |
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 DNekScalBlkMatSharedPtr | v_GetLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey) |
virtual void | v_DropLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey) |
virtual StdRegions::Orientation | v_GetFaceOrient (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. | |
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. | |
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. | |
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) |
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) |
template<class T > | |
boost::shared_ptr< T > | as () |
Public Member Functions inherited from Nektar::LocalRegions::Expansion2D | |
Expansion2D (SpatialDomains::Geometry2DSharedPtr pGeom) | |
virtual | ~Expansion2D () |
void | SetTraceToGeomOrientation (Array< OneD, StdRegions::StdExpansionSharedPtr > &EdgeExp, Array< OneD, NekDouble > &inout) |
ExpansionSharedPtr | GetEdgeExp (int edge, bool SetUpNormal=true) |
void | SetEdgeExp (const int edge, ExpansionSharedPtr &e) |
void | AddNormTraceInt (const int dir, Array< OneD, StdRegions::StdExpansionSharedPtr > &EdgeExp, Array< OneD, Array< OneD, NekDouble > > &edgeCoeffs, Array< OneD, NekDouble > &outarray) |
void | AddNormTraceInt (const int dir, Array< OneD, const NekDouble > &inarray, Array< OneD, StdRegions::StdExpansionSharedPtr > &EdgeExp, Array< OneD, NekDouble > &outarray, const StdRegions::VarCoeffMap &varcoeffs) |
void | AddEdgeBoundaryInt (const int edge, StdRegions::StdExpansionSharedPtr &EdgeExp, Array< OneD, NekDouble > &edgePhys, Array< OneD, NekDouble > &outarray, const StdRegions::VarCoeffMap &varcoeffs=StdRegions::NullVarCoeffMap) |
void | AddHDGHelmholtzEdgeTerms (const NekDouble tau, const int edge, Array< OneD, StdRegions::StdExpansionSharedPtr > &EdgeExp, Array< OneD, NekDouble > &edgePhys, const StdRegions::VarCoeffMap &dirForcing, Array< OneD, NekDouble > &outarray) |
void | AddHDGHelmholtzTraceTerms (const NekDouble tau, const Array< OneD, const NekDouble > &inarray, Array< OneD, StdRegions::StdExpansionSharedPtr > &EdgeExp, const StdRegions::VarCoeffMap &dirForcing, Array< OneD, NekDouble > &outarray) |
Expansion3DSharedPtr | GetLeftAdjacentElementExp () const |
Expansion3DSharedPtr | GetRightAdjacentElementExp () const |
int | GetLeftAdjacentElementFace () const |
int | GetRightAdjacentElementFace () const |
void | SetAdjacentElementExp (int face, Expansion3DSharedPtr &f) |
SpatialDomains::Geometry2DSharedPtr | GetGeom2D () const |
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 |
virtual const SpatialDomains::GeomFactorsSharedPtr & | v_GetMetricInfo () const |
DNekMatSharedPtr | BuildTransformationMatrix (const DNekScalMatSharedPtr &r_bnd, const StdRegions::MatrixType matrixType) |
DNekMatSharedPtr | BuildVertexMatrix (const DNekScalMatSharedPtr &r_bnd) |
Protected Member Functions | |
DNekMatSharedPtr | CreateStdMatrix (const StdRegions::StdMatrixKey &mkey) |
DNekScalMatSharedPtr | CreateMatrix (const MatrixKey &mkey) |
DNekScalBlkMatSharedPtr | CreateStaticCondMatrix (const MatrixKey &mkey) |
void | IProductWRTBase_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
void | IProductWRTBase_MatOp (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 | IProductWRTDerivBase_MatOp (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
void | GeneralMatrixOp_MatOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey) |
virtual DNekMatSharedPtr | v_GenMatrix (const StdRegions::StdMatrixKey &mkey) |
Protected Member Functions inherited from Nektar::StdRegions::StdNodalTriExp | |
virtual void | v_BwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
Backward tranform for triangular elements. | |
virtual void | v_BwdTrans_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
virtual void | v_FwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
Transform a given function from physical quadrature space to coefficient space. | |
virtual void | v_IProductWRTBase (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
Calculate the inner product of inarray with respect to the basis B=base0[p]*base1[pq] and put into outarray. | |
virtual void | v_IProductWRTBase_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
virtual void | v_IProductWRTDerivBase (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_FillMode (const int mode, Array< OneD, NekDouble > &outarray) |
virtual int | v_NumBndryCoeffs () const |
virtual void | v_GetEdgeToElementMap (const int eid, const Orientation edgeOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray) |
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_GetInteriorMap (Array< OneD, unsigned int > &outarray) |
virtual void | v_GetBoundaryMap (Array< OneD, unsigned int > &outarray) |
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 DNekMatSharedPtr | v_CreateStdMatrix (const StdMatrixKey &mkey) |
Protected Member Functions inherited from Nektar::StdRegions::StdTriExp | |
virtual NekDouble | v_Integral (const Array< OneD, const NekDouble > &inarray) |
Integrates the specified function over the domain. | |
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=NullNekDouble1DArray) |
Calculate the derivative of the physical points. | |
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 given direction. | |
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=NullNekDouble1DArray) |
virtual void | v_StdPhysDeriv (const int dir, 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 > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0, bool doCheckCollDir1) |
virtual void | v_FwdTrans_BndConstrained (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_SumFacKernel (const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0, bool doCheckCollDir1) |
virtual void | v_IProductWRTDerivBase_MatOp (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 int | v_GetNverts () const |
virtual int | v_GetNedges () const |
virtual LibUtilities::ShapeType | v_DetShapeType () const |
virtual int | v_NumDGBndryCoeffs () const |
virtual int | v_GetEdgeNcoeffs (const int i) const |
virtual int | v_GetEdgeNumPoints (const int i) const |
virtual int | v_CalcNumberOfCoefficients (const std::vector< unsigned int > &nummodes, int &modes_offset) |
virtual LibUtilities::BasisType | v_GetEdgeBasisType (const int i) const |
virtual void | v_GetCoords (Array< OneD, NekDouble > &coords_x, Array< OneD, NekDouble > &coords_y, Array< OneD, NekDouble > &coords_z) |
virtual bool | v_IsBoundaryInteriorExpansion () |
virtual int | v_DetCartesianDirOfEdge (const int edge) |
virtual const LibUtilities::BasisKey | v_DetEdgeBasisKey (const int edge) const |
virtual void | v_SVVLaplacianFilter (Array< OneD, NekDouble > &array, const StdMatrixKey &mkey) |
virtual void | v_ReduceOrderCoeffs (int numMin, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
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) |
Protected Member Functions inherited from Nektar::StdRegions::StdExpansion2D | |
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. | |
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) |
Protected Member Functions inherited from Nektar::StdRegions::StdExpansion | |
DNekBlkMatSharedPtr | CreateStdStaticCondMatrix (const StdMatrixKey &mkey) |
Create the static condensation of a matrix when using a boundary interior decomposition. | |
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. | |
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 | 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) |
virtual void | v_AddEdgeNormBoundaryInt (const int edge, boost::shared_ptr< StdExpansion > &EdgeExp, const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, Array< OneD, NekDouble > &outarray) |
virtual void | v_AddEdgeNormBoundaryInt (const int edge, boost::shared_ptr< StdExpansion > &EdgeExp, const Array< OneD, const NekDouble > &Fn, Array< OneD, NekDouble > &outarray) |
virtual void | v_AddFaceNormBoundaryInt (const int face, boost::shared_ptr< StdExpansion > &FaceExp, const Array< OneD, const NekDouble > &Fn, Array< OneD, NekDouble > &outarray) |
Protected Member Functions inherited from Nektar::LocalRegions::Expansion2D | |
virtual void | v_DGDeriv (const int dir, const Array< OneD, const NekDouble > &incoeffs, Array< OneD, StdRegions::StdExpansionSharedPtr > &EdgeExp, Array< OneD, Array< OneD, NekDouble > > &edgeCoeffs, Array< OneD, NekDouble > &out_d) |
virtual void | v_AddEdgeNormBoundaryInt (const int edge, StdRegions::StdExpansionSharedPtr &EdgeExp, const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, Array< OneD, NekDouble > &outarray) |
virtual void | v_AddEdgeNormBoundaryInt (const int edge, StdRegions::StdExpansionSharedPtr &EdgeExp, const Array< OneD, const NekDouble > &Fn, Array< OneD, NekDouble > &outarray) |
virtual void | v_AddRobinMassMatrix (const int edgeid, const Array< OneD, const NekDouble > &primCoeffs, DNekMatSharedPtr &inoutmat) |
virtual void | v_AddRobinEdgeContribution (const int edgeid, const Array< OneD, const NekDouble > &primCoeffs, Array< OneD, NekDouble > &coeffs) |
virtual DNekMatSharedPtr | v_BuildVertexMatrix (const DNekScalMatSharedPtr &r_bnd) |
void | GetPhysEdgeVarCoeffsFromElement (const int edge, StdRegions::StdExpansionSharedPtr &EdgeExp, const Array< OneD, const NekDouble > &varcoeff, Array< OneD, NekDouble > &outarray) |
Array< OneD, unsigned int > | v_GetEdgeInverseBoundaryMap (int eid) |
virtual void | v_NegateEdgeNormal (const int edge) |
virtual bool | v_EdgeNormalNegated (const int edge) |
virtual void | v_SetUpPhysNormals (const int edge) |
const StdRegions::NormalVector & | v_GetEdgeNormal (const int edge) const |
const StdRegions::NormalVector & | v_GetSurfaceNormal (const int id) const |
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_ComputeLaplacianMetric () |
virtual void | v_GetCoords (Array< OneD, NekDouble > &coords_1, Array< OneD, NekDouble > &coords_2, Array< OneD, NekDouble > &coords_3) |
virtual DNekScalMatSharedPtr | v_GetLocMatrix (const LocalRegions::MatrixKey &mkey) |
virtual DNekMatSharedPtr | v_BuildTransformationMatrix (const DNekScalMatSharedPtr &r_bnd, const StdRegions::MatrixType matrixType) |
Private Member Functions | |
virtual DNekMatSharedPtr | v_GenNBasisTransMatrix () |
virtual void | v_GetCoords (Array< OneD, NekDouble > &coords_0, Array< OneD, NekDouble > &coords_1=NullNekDouble1DArray, Array< OneD, NekDouble > &coords_2=NullNekDouble1DArray) |
virtual void | v_GetCoord (const Array< OneD, const NekDouble > &lcoord, Array< OneD, NekDouble > &coord) |
virtual void | v_GetNodalPoints (Array< OneD, const NekDouble > &x, Array< OneD, const NekDouble > &y) |
virtual NekDouble | v_Integral (const Array< OneD, const NekDouble > &inarray) |
Virtual call to integrate the physical point list inarray over region (see SegExp::Integral) | |
virtual void | v_IProductWRTBase (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
Virtual call to TriExp::IProduct_WRT_B. | |
virtual void | v_IProductWRTDerivBase (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=NullNekDouble1DArray) |
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=NullNekDouble1DArray) |
virtual void | v_PhysDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
virtual void | v_FwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
Virtual call to SegExp::FwdTrans. | |
virtual NekDouble | v_PhysEvaluate (const Array< OneD, const NekDouble > &coord, const Array< OneD, const NekDouble > &physvals) |
Virtual call to TriExp::Evaluate. | |
virtual DNekMatSharedPtr | v_CreateStdMatrix (const StdRegions::StdMatrixKey &mkey) |
virtual DNekScalMatSharedPtr | v_GetLocMatrix (const MatrixKey &mkey) |
virtual DNekScalBlkMatSharedPtr | v_GetLocStaticCondMatrix (const MatrixKey &mkey) |
virtual void | v_BwdTrans_SumFac (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) |
virtual void | v_IProductWRTDerivBase_SumFac (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
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_HelmholtzMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey) |
void | v_ComputeEdgeNormal (const int edge) |
Additional Inherited Members | |
Protected Attributes inherited from Nektar::StdRegions::StdNodalTriExp | |
boost::shared_ptr < LibUtilities::PointsKey > | m_nodalPointsKey |
Protected Attributes inherited from Nektar::LocalRegions::Expansion2D | |
std::vector< ExpansionWeakPtr > | m_edgeExp |
std::vector< bool > | m_requireNeg |
std::map< int, StdRegions::NormalVector > | m_edgeNormals |
std::map< int, bool > | m_negatedNormals |
Expansion3DWeakPtr | m_elementLeft |
Expansion3DWeakPtr | m_elementRight |
int | m_elementFaceLeft |
int | m_elementFaceRight |
Definition at line 51 of file NodalTriExp.h.
Nektar::LocalRegions::NodalTriExp::NodalTriExp | ( | const LibUtilities::BasisKey & | Ba, |
const LibUtilities::BasisKey & | Bb, | ||
const LibUtilities::PointsType | Ntype, | ||
const SpatialDomains::TriGeomSharedPtr & | geom | ||
) |
Constructor using BasisKey class for quadrature points and order definition.
Definition at line 44 of file NodalTriExp.cpp.
Nektar::LocalRegions::NodalTriExp::NodalTriExp | ( | const NodalTriExp & | T | ) |
Copy Constructor.
Definition at line 62 of file NodalTriExp.cpp.
Nektar::LocalRegions::NodalTriExp::~NodalTriExp | ( | ) |
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Definition at line 422 of file NodalTriExp.cpp.
References ASSERTL1, ASSERTL2, Nektar::StdRegions::StdExpansion::DetShapeType(), Nektar::SpatialDomains::eDeformed, Nektar::StdRegions::eFactorLambda, ErrorUtil::efatal, Nektar::StdRegions::eHelmholtz, Nektar::StdRegions::eInvMass, Nektar::StdRegions::eLaplacian, Nektar::StdRegions::eLaplacian00, Nektar::StdRegions::eLaplacian01, Nektar::StdRegions::eLaplacian11, Nektar::StdRegions::eMass, Nektar::SpatialDomains::eNoGeomType, Nektar::StdRegions::StdExpansion::GenMatrix(), Nektar::StdRegions::StdMatrixKey::GetConstFactor(), Nektar::StdRegions::StdMatrixKey::GetMatrixType(), Nektar::StdRegions::StdExpansion::GetPointsKeys(), Nektar::StdRegions::StdMatrixKey::GetShapeType(), Nektar::StdRegions::StdExpansion::GetStdMatrix(), Nektar::LocalRegions::Expansion::m_geom, m_matrixManager, Nektar::LocalRegions::Expansion::m_metricinfo, NEKERROR, and Nektar::Transpose().
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Definition at line 538 of file NodalTriExp.cpp.
References 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::StdExpansion::GetStdStaticCondMatrix(), Nektar::LocalRegions::Expansion::m_metricinfo, Nektar::StdRegions::StdExpansion::m_ncoeffs, and Nektar::StdRegions::StdExpansion::NumBndryCoeffs().
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Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 398 of file NodalTriExp.cpp.
References Nektar::StdRegions::StdExpansion::m_base, and Nektar::StdRegions::StdNodalTriExp::m_nodalPointsKey.
Referenced by v_CreateStdMatrix().
void Nektar::LocalRegions::NodalTriExp::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.
Forward transform from physical quadrature space stored in inarray and evaluate the expansion coefficients and store in (this)->m_coeffs.
Inputs:
Outputs:
Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 335 of file NodalTriExp.cpp.
References Nektar::StdRegions::StdExpansion::DetShapeType(), Nektar::eCopy, Nektar::StdRegions::eInvMass, Nektar::eWrapper, IProductWRTBase(), m_matrixManager, Nektar::StdRegions::StdExpansion::m_ncoeffs, Nektar::StdRegions::StdNodalTriExp::m_nodalPointsKey, Nektar::StdRegions::NullConstFactorMap, and Nektar::StdRegions::NullVarCoeffMap.
Referenced by v_FwdTrans().
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Definition at line 352 of file NodalTriExp.cpp.
References Nektar::LocalRegions::Expansion::GetLocMatrix(), Nektar::StdRegions::StdExpansion::m_ncoeffs, and Vmath::Vcopy().
void Nektar::LocalRegions::NodalTriExp::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
This function is a wrapper around the virtual function v_GetCoord()
Lcoords | the coordinates in the local collapsed coordinate system |
coords | the physical coordinates (output of the function) |
Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 381 of file NodalTriExp.cpp.
References ASSERTL1, and Nektar::LocalRegions::Expansion::m_geom.
Referenced by v_GetCoord().
void Nektar::LocalRegions::NodalTriExp::GetCoords | ( | Array< OneD, NekDouble > & | coords_1, |
Array< OneD, NekDouble > & | coords_2, | ||
Array< OneD, NekDouble > & | coords_3 = NullNekDouble1DArray |
||
) |
this function returns the physical coordinates of the quadrature points of the expansion
This function is a wrapper around the virtual function v_GetCoords()
coords | an array containing the coordinates of the quadrature points (output of the function) |
Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 373 of file NodalTriExp.cpp.
References v_GetCoords().
Referenced by v_GetCoords().
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inarray | Input array . |
outarray | Output array . |
mkey |
Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 149 of file NodalTriExp.h.
References Nektar::StdRegions::StdExpansion::HelmholtzMatrixOp_MatFree_GenericImpl().
Referenced by v_HelmholtzMatrixOp().
NekDouble Nektar::LocalRegions::NodalTriExp::Integral | ( | const Array< OneD, const NekDouble > & | inarray | ) |
Integrate the physical point list inarray over region.
Integrate the physical point list inarray over region and return the value.
Inputs:
Outputs:
Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 98 of file NodalTriExp.cpp.
References Nektar::SpatialDomains::eDeformed, Nektar::StdRegions::StdExpansion::GetPointsKeys(), Nektar::StdRegions::StdExpansion::m_base, Nektar::LocalRegions::Expansion::m_metricinfo, Vmath::Smul(), v_Integral(), and Vmath::Vmul().
Referenced by v_Integral().
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Inner product of inarray over region with respect to the expansion basis (this)->_Base[0] and return in outarray.
Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 83 of file NodalTriExp.h.
References IProductWRTBase_SumFac().
Referenced by FwdTrans(), and v_IProductWRTBase().
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Definition at line 137 of file NodalTriExp.cpp.
References Nektar::StdRegions::StdExpansion::DetShapeType(), Nektar::StdRegions::eIProductWRTBase, Nektar::StdRegions::StdExpansion::GetTotPoints(), m_matrixManager, and Nektar::StdRegions::StdExpansion::m_ncoeffs.
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Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 122 of file NodalTriExp.cpp.
References Nektar::StdRegions::StdExpansion2D::IProductWRTBase_SumFacKernel(), Nektar::StdRegions::StdExpansion::m_base, Nektar::StdRegions::StdExpansion::MultiplyByQuadratureMetric(), and Nektar::StdRegions::StdNodalTriExp::NodalToModalTranspose().
Referenced by IProductWRTBase(), and v_IProductWRTBase_SumFac().
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Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 89 of file NodalTriExp.h.
References IProductWRTDerivBase_SumFac().
Referenced by v_IProductWRTDerivBase().
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Definition at line 218 of file NodalTriExp.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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Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 148 of file NodalTriExp.cpp.
References ASSERTL1, Nektar::SpatialDomains::eDeformed, Nektar::StdRegions::StdExpansion::GetPointsKeys(), Nektar::StdRegions::StdExpansion2D::IProductWRTBase_SumFacKernel(), Nektar::StdRegions::StdExpansion::m_base, Nektar::LocalRegions::Expansion::m_geom, Nektar::LocalRegions::Expansion::m_metricinfo, Nektar::StdRegions::StdExpansion::m_ncoeffs, Nektar::StdRegions::StdExpansion::MultiplyByQuadratureMetric(), Nektar::StdRegions::StdNodalTriExp::NodalToModalTranspose(), Vmath::Smul(), Vmath::Vadd(), and Vmath::Vmul().
Referenced by IProductWRTDerivBase(), and v_IProductWRTDerivBase_SumFac().
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Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 126 of file NodalTriExp.h.
References Nektar::StdRegions::StdExpansion::LaplacianMatrixOp_MatFree_GenericImpl().
Referenced by v_LaplacianMatrixOp().
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Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 133 of file NodalTriExp.h.
References Nektar::StdRegions::StdExpansion::LaplacianMatrixOp_MatFree().
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Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 119 of file NodalTriExp.h.
References Nektar::StdRegions::StdExpansion::MassMatrixOp_MatFree().
Referenced by v_MassMatrixOp().
void Nektar::LocalRegions::NodalTriExp::PhysDeriv | ( | const Array< OneD, const NekDouble > & | inarray, |
Array< OneD, NekDouble > & | out_d0, | ||
Array< OneD, NekDouble > & | out_d1, | ||
Array< OneD, NekDouble > & | out_d2 = NullNekDouble1DArray |
||
) |
Differentiation Methods ////////////////////////////.
Calculate the deritive of the physical points
Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 264 of file NodalTriExp.cpp.
References Nektar::SpatialDomains::eDeformed, Nektar::StdRegions::StdExpansion::GetPointsKeys(), Nektar::StdRegions::StdExpansion::m_base, Nektar::LocalRegions::Expansion::m_metricinfo, Vmath::Smul(), v_PhysDeriv(), Vmath::Vmul(), and Vmath::Vvtvp().
Referenced by v_PhysDeriv().
NekDouble Nektar::LocalRegions::NodalTriExp::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.
This function is a wrapper around the virtual function v_PhysEvaluate()
Based on the value of the expansion at the quadrature points provided in physvals, 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:
coords | the coordinates of the single point |
physvals | the interpolated field at the quadrature points |
Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 409 of file NodalTriExp.cpp.
References ASSERTL0, Nektar::LocalRegions::Expansion::m_geom, and v_PhysEvaluate().
Referenced by v_PhysEvaluate().
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Definition at line 315 of file NodalTriExp.h.
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Definition at line 672 of file NodalTriExp.cpp.
References ASSERTL0, Nektar::SpatialDomains::eMovingRegular, Nektar::SpatialDomains::eRegular, Vmath::Fill(), Nektar::StdRegions::StdExpansion::GetCoordim(), Nektar::LocalRegions::Expansion::GetGeom(), Nektar::LibUtilities::PointsKey::GetNumPoints(), Nektar::StdRegions::StdExpansion::GetPointsKeys(), Nektar::LibUtilities::Interp1D(), Nektar::StdRegions::StdExpansion::m_base, Nektar::LocalRegions::Expansion2D::m_edgeNormals, Vmath::Reverse(), Vmath::Sdiv(), Vmath::Smul(), Vmath::Vmul(), Vmath::Vsqrt(), Vmath::Vvtvp(), and Vmath::Zero().
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Definition at line 294 of file NodalTriExp.h.
References CreateStdMatrix().
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Virtual call to SegExp::FwdTrans.
Definition at line 279 of file NodalTriExp.h.
References FwdTrans().
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Reimplemented from Nektar::StdRegions::StdNodalTriExp.
Definition at line 651 of file NodalTriExp.cpp.
References Nektar::StdRegions::eHybridDGHelmBndLam, Nektar::StdRegions::eHybridDGHelmholtz, Nektar::StdRegions::eHybridDGLamToQ0, Nektar::StdRegions::eHybridDGLamToQ1, Nektar::StdRegions::eHybridDGLamToQ2, Nektar::StdRegions::eHybridDGLamToU, and Nektar::StdRegions::StdMatrixKey::GetMatrixType().
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Definition at line 191 of file NodalTriExp.h.
References Nektar::StdRegions::StdNodalTriExp::GenNBasisTransMatrix().
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Definition at line 299 of file NodalTriExp.h.
References m_matrixManager.
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Definition at line 310 of file NodalTriExp.h.
References m_staticCondMatrixManager.
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Definition at line 209 of file NodalTriExp.h.
References Nektar::StdRegions::StdNodalTriExp::GetNodalPoints().
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Definition at line 364 of file NodalTriExp.h.
References HelmholtzMatrixOp().
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Virtual call to integrate the physical point list inarray over region (see SegExp::Integral)
Definition at line 217 of file NodalTriExp.h.
References Integral().
Referenced by Integral().
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Virtual call to TriExp::IProduct_WRT_B.
Definition at line 223 of file NodalTriExp.h.
References IProductWRTBase().
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Definition at line 321 of file NodalTriExp.h.
References IProductWRTBase_SumFac().
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inlineprivatevirtual |
Definition at line 229 of file NodalTriExp.h.
References IProductWRTDerivBase().
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inlineprivatevirtual |
Definition at line 327 of file NodalTriExp.h.
References IProductWRTDerivBase_SumFac().
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inlineprivatevirtual |
Definition at line 341 of file NodalTriExp.h.
References LaplacianMatrixOp().
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Definition at line 348 of file NodalTriExp.h.
References LaplacianMatrixOp().
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Definition at line 334 of file NodalTriExp.h.
References MassMatrixOp().
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inlineprivatevirtual |
Definition at line 245 of file NodalTriExp.h.
References PhysDeriv().
Referenced by PhysDeriv(), and v_StdPhysDeriv().
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inlineprivatevirtual |
Definition at line 253 of file NodalTriExp.h.
References ASSERTL1, and PhysDeriv().
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inlineprivatevirtual |
Virtual call to TriExp::Evaluate.
Definition at line 286 of file NodalTriExp.h.
References PhysEvaluate().
Referenced by PhysEvaluate().
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inlineprivatevirtual |
Definition at line 236 of file NodalTriExp.h.
References v_PhysDeriv().
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inlineprivatevirtual |
Definition at line 356 of file NodalTriExp.h.
References WeakDerivMatrixOp().
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Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 141 of file NodalTriExp.h.
References Nektar::StdRegions::StdExpansion::WeakDerivMatrixOp_MatFree().
Referenced by v_WeakDerivMatrixOp().
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Definition at line 182 of file NodalTriExp.h.
Referenced by CreateMatrix(), FwdTrans(), IProductWRTBase_MatOp(), IProductWRTDerivBase_MatOp(), and v_GetLocMatrix().
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Definition at line 183 of file NodalTriExp.h.
Referenced by v_GetLocStaticCondMatrix().