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Nektar::StdRegions::StdNodalTriExp Class Reference

#include <StdNodalTriExp.h>

Inheritance diagram for Nektar::StdRegions::StdNodalTriExp:
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Public Member Functions

 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.
int GetNtrace () const
 Returns the number of trace elements connected to this element.
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 (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 This function performs the Forward transformation from physical space to coefficient space.
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.
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 > &inarray, Array< OneD, NekDouble > &outarray)
 this function calculates the inner product of a given function f with the different modes of the expansion
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.
void SetElmtId (const int id)
 Set the element id of this expansion when used in a list by returning value of m_elmt_id.
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
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
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 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)
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 $\mathbf{M}[i][j] = \int \phi_i(\mathbf{x}) \phi_j(\mathbf{x}) d\mathbf{x}$
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.
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_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.
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_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 $ L_\infty$ error $ |\epsilon|_\infty = \max |u - u_{exact}|$ where $ u_{exact}$ 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 $ L_2$ error, $ | \epsilon |_{2} = \left [ \int^1_{-1} [u - u_{exact}]^2 dx \right]^{1/2} d\xi_1 $ where $ u_{exact}$ 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 $ H^1$ error, $ | \epsilon |^1_{2} = \left [ \int^1_{-1} [u - u_{exact}]^2 + \nabla(u - u_{exact})\cdot\nabla(u - u_{exact})\cdot dx \right]^{1/2} d\xi_1 $ where $ u_{exact}$ 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)
void PhysInterpToSimplexEquiSpaced (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 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.
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.
template<class T >
boost::shared_ptr< T > as ()

Protected Member Functions

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_GenMatrix (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)
virtual void v_GetSimplexEquiSpacedConnectivity (Array< OneD, int > &conn, bool standard=true)
- 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
DNekMatSharedPtr CreateStdMatrix (const StdMatrixKey &mkey)
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 IProductWRTBase_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)

Protected Attributes

boost::shared_ptr
< LibUtilities::PointsKey > 		m_nodalPointsKey

Detailed Description

Definition at line 48 of file StdNodalTriExp.h.

Constructor & Destructor Documentation

Nektar::StdRegions::StdNodalTriExp::StdNodalTriExp ( )

Definition at line 43 of file StdNodalTriExp.cpp.

:
StdTriExp(),
m_nodalPointsKey()
{
}
Nektar::StdRegions::StdNodalTriExp::StdNodalTriExp ( const LibUtilities::BasisKey &  Ba,
const LibUtilities::BasisKey &  Bb,
const LibUtilities::PointsType  Ntype 
)

Definition at line 49 of file StdNodalTriExp.cpp.

References ASSERTL0, Nektar::LibUtilities::BasisKey::GetNumModes(), Nektar::StdRegions::StdExpansion::m_base, and m_nodalPointsKey.

:
StdExpansion (LibUtilities::StdTriData::getNumberOfCoefficients(
Ba.GetNumModes(),
Bb.GetNumModes()),
2,Ba,Bb),
StdExpansion2D(LibUtilities::StdTriData::getNumberOfCoefficients(
Ba.GetNumModes(),
Bb.GetNumModes()),
Ba,Bb),
StdTriExp (Ba,Bb),
m_nodalPointsKey()
{
ASSERTL0(m_base[0]->GetNumModes() == m_base[1]->GetNumModes(),
"Nodal basis initiated with different orders in the a "
"and b directions");
int nummodes = Ba.GetNumModes();
m_nodalPointsKey = MemoryManager<LibUtilities::PointsKey>::
AllocateSharedPtr(nummodes,Ntype);
}
Nektar::StdRegions::StdNodalTriExp::StdNodalTriExp ( const StdNodalTriExp &  T)

Definition at line 72 of file StdNodalTriExp.cpp.

:
StdExpansion(T),
StdExpansion2D(T),
StdTriExp(T),
m_nodalPointsKey(T.m_nodalPointsKey)
{
}
Nektar::StdRegions::StdNodalTriExp::~StdNodalTriExp ( )

Definition at line 80 of file StdNodalTriExp.cpp.

{
}

Member Function Documentation

DNekMatSharedPtr Nektar::StdRegions::StdNodalTriExp::GenNBasisTransMatrix ( )

Definition at line 140 of file StdNodalTriExp.cpp.

References GetNodalPoints(), Nektar::StdRegions::StdExpansion::GetTotPoints(), Nektar::StdRegions::StdExpansion::m_ncoeffs, v_FillMode(), and Nektar::StdRegions::StdExpansion2D::v_PhysEvaluate().

Referenced by v_GenMatrix(), and Nektar::LocalRegions::NodalTriExp::v_GenNBasisTransMatrix().

{
int i,j;
Array<OneD, const NekDouble> r, s;
Array<OneD, NekDouble> c(2);
DNekMatSharedPtr Mat;
Mat = MemoryManager<DNekMat>::AllocateSharedPtr(
m_ncoeffs, m_ncoeffs);
GetNodalPoints(r,s);
//Store the values of m_phys in a temporary array
int nqtot = GetTotPoints();
Array<OneD,NekDouble> phys(nqtot);
for(i = 0; i < m_ncoeffs; ++i)
{
// fill physical space with mode i
StdTriExp::v_FillMode(i,phys);
// interpolate mode i to the Nodal points 'j' and
// store in outarray
for(j = 0; j < m_ncoeffs; ++j)
{
c[0] = r[j];
c[1] = s[j];
(*Mat)(j,i) = StdTriExp::v_PhysEvaluate(c,phys);
}
}
return Mat;
}
void Nektar::StdRegions::StdNodalTriExp::GetNodalPoints ( Array< OneD, const NekDouble > &  x,
Array< OneD, const NekDouble > &  y 
)

Definition at line 133 of file StdNodalTriExp.cpp.

References m_nodalPointsKey, and Nektar::LibUtilities::PointsManager().

Referenced by GenNBasisTransMatrix(), and Nektar::LocalRegions::NodalTriExp::v_GetNodalPoints().

{
LibUtilities::PointsManager()[*m_nodalPointsKey]->GetPoints(x,y);
}
void Nektar::StdRegions::StdNodalTriExp::ModalToNodal ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)

Definition at line 118 of file StdNodalTriExp.cpp.

References Nektar::StdRegions::StdExpansion::DetShapeType(), Nektar::StdRegions::eNBasisTrans, Nektar::eWrapper, Nektar::StdRegions::StdExpansion::GetStdMatrix(), Nektar::StdRegions::StdExpansion::m_ncoeffs, m_nodalPointsKey, Nektar::StdRegions::NullConstFactorMap, and Nektar::StdRegions::NullVarCoeffMap.

{
StdMatrixKey Nkey(eNBasisTrans, DetShapeType(), *this,
NullConstFactorMap, NullVarCoeffMap,
m_nodalPointsKey->GetPointsType());
DNekMatSharedPtr vdm = GetStdMatrix(Nkey);
// Multiply out matrix
NekVector<NekDouble> modal(m_ncoeffs,inarray,eWrapper);
NekVector<NekDouble> nodal(m_ncoeffs,outarray,eWrapper);
nodal = (*vdm)*modal;
}
void Nektar::StdRegions::StdNodalTriExp::NodalToModal ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)

Definition at line 89 of file StdNodalTriExp.cpp.

References Nektar::StdRegions::StdExpansion::DetShapeType(), Nektar::StdRegions::eInvNBasisTrans, Nektar::eWrapper, Nektar::StdRegions::StdExpansion::GetStdMatrix(), Nektar::StdRegions::StdExpansion::m_ncoeffs, m_nodalPointsKey, Nektar::StdRegions::NullConstFactorMap, and Nektar::StdRegions::NullVarCoeffMap.

Referenced by v_BwdTrans_SumFac().

{
StdMatrixKey Nkey(eInvNBasisTrans, DetShapeType(), *this,
NullConstFactorMap, NullVarCoeffMap,
m_nodalPointsKey->GetPointsType());
DNekMatSharedPtr inv_vdm = GetStdMatrix(Nkey);
NekVector<NekDouble> nodal(m_ncoeffs,inarray,eWrapper);
NekVector<NekDouble> modal(m_ncoeffs,outarray,eWrapper);
modal = (*inv_vdm) * nodal;
}
void Nektar::StdRegions::StdNodalTriExp::NodalToModalTranspose ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)

Definition at line 104 of file StdNodalTriExp.cpp.

References Nektar::StdRegions::StdExpansion::DetShapeType(), Nektar::eCopy, Nektar::StdRegions::eInvNBasisTrans, Nektar::eWrapper, Nektar::StdRegions::StdExpansion::GetStdMatrix(), Nektar::StdRegions::StdExpansion::m_ncoeffs, m_nodalPointsKey, Nektar::StdRegions::NullConstFactorMap, Nektar::StdRegions::NullVarCoeffMap, and Nektar::Transpose().

Referenced by Nektar::LocalRegions::NodalTriExp::IProductWRTBase_SumFac(), Nektar::LocalRegions::NodalTriExp::IProductWRTDerivBase_SumFac(), v_IProductWRTBase_SumFac(), and v_IProductWRTDerivBase_SumFac().

{
StdMatrixKey Nkey(eInvNBasisTrans, DetShapeType(), *this,
NullConstFactorMap, NullVarCoeffMap,
m_nodalPointsKey->GetPointsType());
DNekMatSharedPtr inv_vdm = GetStdMatrix(Nkey);
NekVector<NekDouble> nodal(m_ncoeffs,inarray,eCopy);
NekVector<NekDouble> modal(m_ncoeffs,outarray,eWrapper);
modal = Transpose(*inv_vdm) * nodal;
}
void Nektar::StdRegions::StdNodalTriExp::v_BwdTrans ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
protectedvirtual

Backward tranform for triangular elements.

Note
'q' (base[1]) runs fastest in this element.

Reimplemented from Nektar::StdRegions::StdTriExp.

Definition at line 177 of file StdNodalTriExp.cpp.

References v_BwdTrans_SumFac().

Referenced by v_FillMode().

{
v_BwdTrans_SumFac(inarray,outarray);
}
void Nektar::StdRegions::StdNodalTriExp::v_BwdTrans_SumFac ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdTriExp.

Definition at line 184 of file StdNodalTriExp.cpp.

References Nektar::StdRegions::StdExpansion::m_ncoeffs, and NodalToModal().

Referenced by v_BwdTrans().

{
Array<OneD, NekDouble> tmp(m_ncoeffs);
NodalToModal(inarray,tmp);
StdTriExp::v_BwdTrans_SumFac(tmp,outarray);
}
DNekMatSharedPtr Nektar::StdRegions::StdNodalTriExp::v_CreateStdMatrix ( const StdMatrixKey &  mkey)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdTriExp.

Definition at line 414 of file StdNodalTriExp.cpp.

References v_GenMatrix().

{
return StdNodalTriExp::v_GenMatrix(mkey);
}
void Nektar::StdRegions::StdNodalTriExp::v_FillMode ( const int  mode,
Array< OneD, NekDouble > &  outarray 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdTriExp.

Definition at line 253 of file StdNodalTriExp.cpp.

References ASSERTL2, Nektar::StdRegions::StdExpansion::m_ncoeffs, v_BwdTrans(), and Vmath::Zero().

Referenced by GenNBasisTransMatrix().

{
ASSERTL2(mode >= m_ncoeffs,
"calling argument mode is larger than total expansion order");
Vmath::Zero(m_ncoeffs, outarray, 1);
outarray[mode] = 1.0;
v_BwdTrans(outarray,outarray);
}
void Nektar::StdRegions::StdNodalTriExp::v_FwdTrans ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
protectedvirtual

Transform a given function from physical quadrature space to coefficient space.

See Also
StdExpansion::FwdTrans

Reimplemented from Nektar::StdRegions::StdTriExp.

Definition at line 193 of file StdNodalTriExp.cpp.

References Nektar::StdRegions::StdExpansion::DetShapeType(), Nektar::eCopy, Nektar::StdRegions::eInvMass, Nektar::eWrapper, Nektar::StdRegions::StdExpansion::GetStdMatrix(), Nektar::StdRegions::StdExpansion::m_ncoeffs, m_nodalPointsKey, Nektar::StdRegions::NullConstFactorMap, Nektar::StdRegions::NullVarCoeffMap, and v_IProductWRTBase().

{
v_IProductWRTBase(inarray,outarray);
// get Mass matrix inverse
StdMatrixKey masskey(eInvMass, DetShapeType(), *this,
NullConstFactorMap, NullVarCoeffMap,
m_nodalPointsKey->GetPointsType());
DNekMatSharedPtr matsys = GetStdMatrix(masskey);
// copy inarray in case inarray == outarray
NekVector<NekDouble> in(m_ncoeffs,outarray,eCopy);
NekVector<NekDouble> out(m_ncoeffs,outarray,eWrapper);
out = (*matsys)*in;
}
DNekMatSharedPtr Nektar::StdRegions::StdNodalTriExp::v_GenMatrix ( const StdMatrixKey &  mkey)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdTriExp.

Reimplemented in Nektar::LocalRegions::NodalTriExp.

Definition at line 397 of file StdNodalTriExp.cpp.

References Nektar::StdRegions::StdExpansion::CreateGeneralMatrix(), Nektar::StdRegions::eNBasisTrans, GenNBasisTransMatrix(), and Nektar::StdRegions::StdMatrixKey::GetMatrixType().

Referenced by v_CreateStdMatrix().

{
DNekMatSharedPtr Mat;
switch(mkey.GetMatrixType())
{
case eNBasisTrans:
Mat = GenNBasisTransMatrix();
break;
default:
Mat = StdExpansion::CreateGeneralMatrix(mkey);
break;
}
return Mat;
}
void Nektar::StdRegions::StdNodalTriExp::v_GetBoundaryMap ( Array< OneD, unsigned int > &  outarray)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdTriExp.

Definition at line 377 of file StdNodalTriExp.cpp.

References Nektar::StdRegions::StdExpansion::NumBndryCoeffs().

{
unsigned int i;
if (outarray.num_elements()!=NumBndryCoeffs())
{
outarray = Array<OneD, unsigned int>(NumBndryCoeffs());
}
for (i = 0; i < NumBndryCoeffs(); i++)
{
outarray[i] = i;
}
}
void Nektar::StdRegions::StdNodalTriExp::v_GetEdgeInteriorMap ( const int  eid,
const Orientation  edgeOrient,
Array< OneD, unsigned int > &  maparray,
Array< OneD, int > &  signarray 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdTriExp.

Definition at line 325 of file StdNodalTriExp.cpp.

References ASSERTL0, Nektar::StdRegions::eBackwards, and Nektar::StdRegions::StdExpansion::GetEdgeNcoeffs().

{
ASSERTL0(eid >= 0 && eid <= 2,
"Local Edge ID must be between 0 and 2");
const int nEdgeIntCoeffs = GetEdgeNcoeffs(eid)-2;
if (maparray.num_elements() != nEdgeIntCoeffs)
{
maparray = Array<OneD, unsigned int>(nEdgeIntCoeffs);
}
if (signarray.num_elements() != nEdgeIntCoeffs)
{
signarray = Array<OneD, int>(nEdgeIntCoeffs,1);
}
else
{
fill(signarray.get(), signarray.get()+nEdgeIntCoeffs, 1);
}
for (int i = 0; i < nEdgeIntCoeffs; i++)
{
maparray[i] = eid*nEdgeIntCoeffs+3+i;
}
if (edgeOrient == eBackwards)
{
reverse(maparray.get(), maparray.get()+nEdgeIntCoeffs);
}
}
void Nektar::StdRegions::StdNodalTriExp::v_GetEdgeToElementMap ( const int  eid,
const Orientation  edgeOrient,
Array< OneD, unsigned int > &  maparray,
Array< OneD, int > &  signarray 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdTriExp.

Definition at line 279 of file StdNodalTriExp.cpp.

References ASSERTL0, Nektar::StdRegions::eBackwards, and Nektar::StdRegions::StdExpansion::GetEdgeNcoeffs().

{
ASSERTL0(eid >= 0 && eid <= 2,
"Local Edge ID must be between 0 and 2");
const int nEdgeCoeffs = GetEdgeNcoeffs(eid);
if (maparray.num_elements() != nEdgeCoeffs)
{
maparray = Array<OneD, unsigned int>(nEdgeCoeffs);
}
if (signarray.num_elements() != nEdgeCoeffs)
{
signarray = Array<OneD, int>(nEdgeCoeffs,1);
}
else
{
fill(signarray.get(), signarray.get()+nEdgeCoeffs, 1);
}
maparray[0] = eid;
maparray[1] = eid == 2 ? 0 : eid+1;
for (int i = 2; i < nEdgeCoeffs; i++)
{
maparray[i] = eid*(nEdgeCoeffs-2)+1+i;
}
if (edgeOrient == eBackwards)
{
reverse(maparray.get(), maparray.get()+nEdgeCoeffs);
}
}
void Nektar::StdRegions::StdNodalTriExp::v_GetInteriorMap ( Array< OneD, unsigned int > &  outarray)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdTriExp.

Definition at line 361 of file StdNodalTriExp.cpp.

References Nektar::StdRegions::StdExpansion::GetNcoeffs(), and Nektar::StdRegions::StdExpansion::NumBndryCoeffs().

{
unsigned int i;
if (outarray.num_elements() != GetNcoeffs()-NumBndryCoeffs())
{
outarray = Array<OneD, unsigned int>(
GetNcoeffs()-NumBndryCoeffs());
}
for (i = NumBndryCoeffs(); i < GetNcoeffs(); i++)
{
outarray[i-NumBndryCoeffs()] = i;
}
}
int Nektar::StdRegions::StdNodalTriExp::v_GetVertexMap ( int  localVertexId,
bool  useCoeffPacking = false 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdTriExp.

Definition at line 317 of file StdNodalTriExp.cpp.

References ASSERTL0.

{
ASSERTL0(localVertexId >= 0 && localVertexId <= 2,
"Local Vertex ID must be between 0 and 2");
return localVertexId;
}
void Nektar::StdRegions::StdNodalTriExp::v_HelmholtzMatrixOp ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray,
const StdMatrixKey &  mkey 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdTriExp.

Definition at line 463 of file StdNodalTriExp.cpp.

References Nektar::StdRegions::StdExpansion::HelmholtzMatrixOp_MatFree_GenericImpl().

{
StdExpansion::HelmholtzMatrixOp_MatFree_GenericImpl(
inarray,outarray,mkey);
}
void Nektar::StdRegions::StdNodalTriExp::v_IProductWRTBase ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
protectedvirtual

Calculate the inner product of inarray with respect to the basis B=base0[p]*base1[pq] and put into outarray.

$ \begin{array}{rcl} I_{pq} = (\phi^A_q \phi^B_{pq}, u) &=& \sum_{i=0}^{nq_0}\sum_{j=0}^{nq_1} \phi^A_p(\eta_{0,i})\phi^B_{pq}(\eta_{1,j}) w^0_i w^1_j u(\xi_{0,i} \xi_{1,j}) \\ & = & \sum_{i=0}^{nq_0} \phi^A_p(\eta_{0,i}) \sum_{j=0}^{nq_1} \phi^B_{pq}(\eta_{1,j}) \tilde{u}_{i,j} \end{array} $

where

$ \tilde{u}_{i,j} = w^0_i w^1_j u(\xi_{0,i},\xi_{1,j}) $

which can be implemented as

$ f_{pj} = \sum_{i=0}^{nq_0} \phi^A_p(\eta_{0,i}) \tilde{u}_{i,j} \rightarrow {\bf B_1 U} $ $ I_{pq} = \sum_{j=0}^{nq_1} \phi^B_{pq}(\eta_{1,j}) f_{pj} \rightarrow {\bf B_2[p*skip] f[skip]} $

Recall: $ \eta_{1} = \frac{2(1+\xi_1)}{(1-\xi_2)}-1, \, \eta_2 = \xi_2$

Note: For the orthgonality of this expansion to be realised the 'q' ordering must run fastest in contrast to the Quad and Hex ordering where 'p' index runs fastest to be consistent with the quadrature ordering.

In the triangular space the i (i.e. $\eta_1$ direction) ordering still runs fastest by convention.

Reimplemented from Nektar::StdRegions::StdTriExp.

Definition at line 217 of file StdNodalTriExp.cpp.

References v_IProductWRTBase_SumFac().

Referenced by v_FwdTrans().

{
v_IProductWRTBase_SumFac(inarray,outarray);
}
void Nektar::StdRegions::StdNodalTriExp::v_IProductWRTBase_SumFac ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdTriExp.

Definition at line 224 of file StdNodalTriExp.cpp.

References NodalToModalTranspose().

Referenced by v_IProductWRTBase().

{
StdTriExp::v_IProductWRTBase_SumFac(inarray,outarray);
NodalToModalTranspose(outarray,outarray);
}
void Nektar::StdRegions::StdNodalTriExp::v_IProductWRTDerivBase ( const int  dir,
const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdTriExp.

Definition at line 232 of file StdNodalTriExp.cpp.

References v_IProductWRTDerivBase_SumFac().

{
v_IProductWRTDerivBase_SumFac(dir,inarray,outarray);
}
void Nektar::StdRegions::StdNodalTriExp::v_IProductWRTDerivBase_SumFac ( const int  dir,
const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdTriExp.

Definition at line 240 of file StdNodalTriExp.cpp.

References NodalToModalTranspose().

Referenced by v_IProductWRTDerivBase().

{
StdTriExp::v_IProductWRTDerivBase_SumFac(dir,inarray,outarray);
NodalToModalTranspose(outarray,outarray);
}
void Nektar::StdRegions::StdNodalTriExp::v_LaplacianMatrixOp ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray,
const StdMatrixKey &  mkey 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdTriExp.

Definition at line 433 of file StdNodalTriExp.cpp.

References Nektar::StdRegions::StdExpansion::LaplacianMatrixOp_MatFree_GenericImpl().

{
StdExpansion::LaplacianMatrixOp_MatFree_GenericImpl(
inarray,outarray,mkey);
}
void Nektar::StdRegions::StdNodalTriExp::v_LaplacianMatrixOp ( const int  k1,
const int  k2,
const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray,
const StdMatrixKey &  mkey 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdTriExp.

Definition at line 442 of file StdNodalTriExp.cpp.

References Nektar::StdRegions::StdExpansion::LaplacianMatrixOp_MatFree().

{
StdExpansion::LaplacianMatrixOp_MatFree(
k1,k2,inarray,outarray,mkey);
}
void Nektar::StdRegions::StdNodalTriExp::v_MassMatrixOp ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray,
const StdMatrixKey &  mkey 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdTriExp.

Definition at line 425 of file StdNodalTriExp.cpp.

References Nektar::StdRegions::StdExpansion::MassMatrixOp_MatFree().

{
StdExpansion::MassMatrixOp_MatFree(inarray,outarray,mkey);
}
int Nektar::StdRegions::StdNodalTriExp::v_NumBndryCoeffs ( ) const
protectedvirtual

Reimplemented from Nektar::StdRegions::StdTriExp.

Definition at line 270 of file StdNodalTriExp.cpp.

References Nektar::StdRegions::StdExpansion::GetBasisNumModes().

{
return 3 + (GetBasisNumModes(0)-2) + 2*(GetBasisNumModes(1)-2);
}
void Nektar::StdRegions::StdNodalTriExp::v_WeakDerivMatrixOp ( const int  i,
const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray,
const StdMatrixKey &  mkey 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdTriExp.

Definition at line 454 of file StdNodalTriExp.cpp.

References Nektar::StdRegions::StdExpansion::WeakDerivMatrixOp_MatFree().

{
StdExpansion::WeakDerivMatrixOp_MatFree(i,inarray,outarray,mkey);
}

Member Data Documentation

boost::shared_ptr<LibUtilities::PointsKey> Nektar::StdRegions::StdNodalTriExp::m_nodalPointsKey
protected

Definition at line 77 of file StdNodalTriExp.h.

Referenced by Nektar::LocalRegions::NodalTriExp::CreateStdMatrix(), Nektar::LocalRegions::NodalTriExp::FwdTrans(), GetNodalPoints(), ModalToNodal(), NodalToModal(), NodalToModalTranspose(), StdNodalTriExp(), and v_FwdTrans().

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