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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. More...
 
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. More...
 
 StdExpansion (const int numcoeffs, const int numbases, const LibUtilities::BasisKey &Ba=LibUtilities::NullBasisKey, const LibUtilities::BasisKey &Bb=LibUtilities::NullBasisKey, const LibUtilities::BasisKey &Bc=LibUtilities::NullBasisKey)
 Constructor. More...
 
 StdExpansion (const StdExpansion &T)
 Copy Constructor. More...
 
virtual ~StdExpansion ()
 Destructor. More...
 
int GetNumBases () const
 This function returns the number of 1D bases used in the expansion. More...
 
const Array< OneD, const
LibUtilities::BasisSharedPtr > & 
GetBase () const
 This function gets the shared point to basis. More...
 
const
LibUtilities::BasisSharedPtr
GetBasis (int dir) const
 This function gets the shared point to basis in the dir direction. More...
 
int GetNcoeffs (void) const
 This function returns the total number of coefficients used in the expansion. More...
 
int GetTotPoints () const
 This function returns the total number of quadrature points used in the element. More...
 
LibUtilities::BasisType GetBasisType (const int dir) const
 This function returns the type of basis used in the dir direction. More...
 
int GetBasisNumModes (const int dir) const
 This function returns the number of expansion modes in the dir direction. More...
 
int EvalBasisNumModesMax (void) const
 This function returns the maximum number of expansion modes over all local directions. More...
 
LibUtilities::PointsType GetPointsType (const int dir) const
 This function returns the type of quadrature points used in the dir direction. More...
 
int GetNumPoints (const int dir) const
 This function returns the number of quadrature points in the dir direction. More...
 
const Array< OneD, const
NekDouble > & 
GetPoints (const int dir) const
 This function returns a pointer to the array containing the quadrature points in dir direction. More...
 
int GetNverts () const
 This function returns the number of vertices of the expansion domain. More...
 
int GetNedges () const
 This function returns the number of edges of the expansion domain. More...
 
int GetEdgeNcoeffs (const int i) const
 This function returns the number of expansion coefficients belonging to the i-th edge. More...
 
int GetTotalEdgeIntNcoeffs () const
 
int GetEdgeNumPoints (const int i) const
 This function returns the number of quadrature points belonging to the i-th edge. More...
 
int DetCartesianDirOfEdge (const int edge)
 
const LibUtilities::BasisKey DetEdgeBasisKey (const int i) const
 
const LibUtilities::BasisKey DetFaceBasisKey (const int i, const int k) const
 
int GetFaceNumPoints (const int i) const
 This function returns the number of quadrature points belonging to the i-th face. More...
 
int GetFaceNcoeffs (const int i) const
 This function returns the number of expansion coefficients belonging to the i-th face. More...
 
int GetFaceIntNcoeffs (const int i) const
 
int GetTotalFaceIntNcoeffs () const
 
int GetTraceNcoeffs (const int i) const
 This function returns the number of expansion coefficients belonging to the i-th edge/face. More...
 
LibUtilities::PointsKey GetFacePointsKey (const int i, const int j) const
 
int NumBndryCoeffs (void) const
 
int NumDGBndryCoeffs (void) const
 
LibUtilities::BasisType GetEdgeBasisType (const int i) const
 This function returns the type of expansion basis on the i-th edge. More...
 
const LibUtilities::PointsKey GetNodalPointsKey () const
 This function returns the type of expansion Nodal point type if defined. More...
 
int GetNfaces () const
 This function returns the number of faces of the expansion domain. More...
 
int GetNtrace () const
 Returns the number of trace elements connected to this element. More...
 
LibUtilities::ShapeType DetShapeType () const
 This function returns the shape of the expansion domain. More...
 
boost::shared_ptr< StdExpansionGetStdExp (void) const
 
boost::shared_ptr< StdExpansionGetLinStdExp (void) const
 
int GetShapeDimension () const
 
bool IsBoundaryInteriorExpansion ()
 
bool IsNodalNonTensorialExp ()
 
void BwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 This function performs the Backward transformation from coefficient space to physical space. More...
 
void FwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 This function performs the Forward transformation from physical space to coefficient space. More...
 
void FwdTrans_BndConstrained (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
NekDouble Integral (const Array< OneD, const NekDouble > &inarray)
 This function integrates the specified function over the domain. More...
 
void FillMode (const int mode, Array< OneD, NekDouble > &outarray)
 This function fills the array outarray with the mode-th mode of the expansion. More...
 
void IProductWRTBase (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 this function calculates the inner product of a given function f with the different modes of the expansion More...
 
void IProductWRTBase (const Array< OneD, const NekDouble > &base, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, int coll_check)
 
void IProductWRTDerivBase (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
int GetElmtId ()
 Get the element id of this expansion when used in a list by returning value of m_elmt_id. More...
 
void SetElmtId (const int id)
 Set the element id of this expansion when used in a list by returning value of m_elmt_id. More...
 
void GetCoords (Array< OneD, NekDouble > &coords_1, Array< OneD, NekDouble > &coords_2=NullNekDouble1DArray, Array< OneD, NekDouble > &coords_3=NullNekDouble1DArray)
 this function returns the physical coordinates of the quadrature points of the expansion More...
 
void GetCoord (const Array< OneD, const NekDouble > &Lcoord, Array< OneD, NekDouble > &coord)
 given the coordinates of a point of the element in the local collapsed coordinate system, this function calculates the physical coordinates of the point More...
 
DNekMatSharedPtr GetStdMatrix (const StdMatrixKey &mkey)
 
DNekBlkMatSharedPtr GetStdStaticCondMatrix (const StdMatrixKey &mkey)
 
IndexMapValuesSharedPtr GetIndexMap (const IndexMapKey &ikey)
 
const Array< OneD, const
NekDouble > & 
GetPhysNormals (void)
 
void SetPhysNormals (Array< OneD, const NekDouble > &normal)
 
virtual void SetUpPhysNormals (const int edge)
 
void NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, Array< OneD, NekDouble > &outarray)
 
void NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, const Array< OneD, NekDouble > &Fy, Array< OneD, NekDouble > &outarray)
 
void NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, const Array< OneD, const NekDouble > &Fz, Array< OneD, NekDouble > &outarray)
 
void NormVectorIProductWRTBase (const Array< OneD, const Array< OneD, NekDouble > > &Fvec, Array< OneD, NekDouble > &outarray)
 
DNekScalBlkMatSharedPtr GetLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey)
 
void DropLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey)
 
StdRegions::Orientation GetForient (int face)
 
StdRegions::Orientation GetEorient (int edge)
 
StdRegions::Orientation GetPorient (int point)
 
StdRegions::Orientation GetCartesianEorient (int edge)
 
void SetCoeffsToOrientation (Array< OneD, NekDouble > &coeffs, StdRegions::Orientation dir)
 
void SetCoeffsToOrientation (StdRegions::Orientation dir, Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
int CalcNumberOfCoefficients (const std::vector< unsigned int > &nummodes, int &modes_offset)
 
NekDouble StdPhysEvaluate (const Array< OneD, const NekDouble > &Lcoord, const Array< OneD, const NekDouble > &physvals)
 
int GetCoordim ()
 
void GetBoundaryMap (Array< OneD, unsigned int > &outarray)
 
void GetInteriorMap (Array< OneD, unsigned int > &outarray)
 
int GetVertexMap (const int localVertexId, bool useCoeffPacking=false)
 
void GetEdgeInteriorMap (const int eid, const Orientation edgeOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray)
 
void GetFaceNumModes (const int fid, const Orientation faceOrient, int &numModes0, int &numModes1)
 
void GetFaceInteriorMap (const int fid, const Orientation faceOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray)
 
void GetEdgeToElementMap (const int eid, const Orientation edgeOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, int P=-1)
 
void GetFaceToElementMap (const int fid, const Orientation faceOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, int nummodesA=-1, int nummodesB=-1)
 
void GetEdgePhysVals (const int edge, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 Extract the physical values along edge edge from inarray into outarray following the local edge orientation and point distribution defined by defined in EdgeExp. More...
 
void GetEdgePhysVals (const int edge, const boost::shared_ptr< StdExpansion > &EdgeExp, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
void GetTracePhysVals (const int edge, const boost::shared_ptr< StdExpansion > &EdgeExp, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
void GetVertexPhysVals (const int vertex, const Array< OneD, const NekDouble > &inarray, NekDouble &outarray)
 
void GetEdgeInterpVals (const int edge, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
void GetEdgeQFactors (const int edge, Array< OneD, NekDouble > &outarray)
 Extract the metric factors to compute the contravariant fluxes along edge edge and stores them into outarray following the local edge orientation (i.e. anticlockwise convention). More...
 
void GetFacePhysVals (const int face, const boost::shared_ptr< StdExpansion > &FaceExp, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, StdRegions::Orientation orient=eNoOrientation)
 
void GetEdgePhysMap (const int edge, Array< OneD, int > &outarray)
 
void GetFacePhysMap (const int face, Array< OneD, int > &outarray)
 
void MultiplyByQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
void MultiplyByStdQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
DNekMatSharedPtr CreateGeneralMatrix (const StdMatrixKey &mkey)
 this function generates the mass matrix $\mathbf{M}[i][j] = \int \phi_i(\mathbf{x}) \phi_j(\mathbf{x}) d\mathbf{x}$ More...
 
void GeneralMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void MassMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void LaplacianMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void ReduceOrderCoeffs (int numMin, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
void SVVLaplacianFilter (Array< OneD, NekDouble > &array, const StdMatrixKey &mkey)
 
void LaplacianMatrixOp (const int k1, const int k2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void WeakDerivMatrixOp (const int i, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void WeakDirectionalDerivMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void MassLevelCurvatureMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void LinearAdvectionDiffusionReactionMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey, bool addDiffusionTerm=true)
 
void HelmholtzMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
DNekMatSharedPtr GenMatrix (const StdMatrixKey &mkey)
 
void PhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1=NullNekDouble1DArray, Array< OneD, NekDouble > &out_d2=NullNekDouble1DArray)
 
void PhysDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
void PhysDeriv_s (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_ds)
 
void PhysDeriv_n (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_dn)
 
void PhysDirectionalDeriv (const Array< OneD, const NekDouble > &inarray, const Array< OneD, const NekDouble > &direction, Array< OneD, NekDouble > &outarray)
 
void StdPhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1=NullNekDouble1DArray, Array< OneD, NekDouble > &out_d2=NullNekDouble1DArray)
 
void StdPhysDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
void AddRobinMassMatrix (const int edgeid, const Array< OneD, const NekDouble > &primCoeffs, DNekMatSharedPtr &inoutmat)
 
void AddRobinEdgeContribution (const int edgeid, const Array< OneD, const NekDouble > &primCoeffs, Array< OneD, NekDouble > &coeffs)
 
NekDouble PhysEvaluate (const Array< OneD, const NekDouble > &coords, const Array< OneD, const NekDouble > &physvals)
 This function evaluates the expansion at a single (arbitrary) point of the domain. More...
 
NekDouble PhysEvaluate (const Array< OneD, DNekMatSharedPtr > &I, const Array< OneD, const NekDouble > &physvals)
 This function evaluates the expansion at a single (arbitrary) point of the domain. More...
 
void LocCoordToLocCollapsed (const Array< OneD, const NekDouble > &xi, Array< OneD, NekDouble > &eta)
 Convert local cartesian coordinate xi into local collapsed coordinates eta. More...
 
const boost::shared_ptr
< SpatialDomains::GeomFactors > & 
GetMetricInfo (void) const
 
virtual int v_GetElmtId ()
 Get the element id of this expansion when used in a list by returning value of m_elmt_id. More...
 
virtual const Array< OneD,
const NekDouble > & 
v_GetPhysNormals (void)
 
virtual void v_SetPhysNormals (Array< OneD, const NekDouble > &normal)
 
virtual void v_SetUpPhysNormals (const int edge)
 
virtual void v_NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, Array< OneD, NekDouble > &outarray)
 
virtual void v_NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, Array< OneD, NekDouble > &outarray)
 
virtual void v_NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, const Array< OneD, const NekDouble > &Fz, Array< OneD, NekDouble > &outarray)
 
virtual void v_NormVectorIProductWRTBase (const Array< OneD, const Array< OneD, NekDouble > > &Fvec, Array< OneD, NekDouble > &outarray)
 
virtual DNekScalBlkMatSharedPtr v_GetLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey)
 
virtual void v_DropLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey)
 
virtual StdRegions::Orientation v_GetForient (int face)
 
virtual StdRegions::Orientation v_GetEorient (int edge)
 
virtual StdRegions::Orientation v_GetCartesianEorient (int edge)
 
virtual StdRegions::Orientation v_GetPorient (int point)
 
NekDouble Linf (const Array< OneD, const NekDouble > &phys, const Array< OneD, const NekDouble > &sol=NullNekDouble1DArray)
 Function to evaluate the discrete $ L_\infty$ error $ |\epsilon|_\infty = \max |u - u_{exact}|$ where $ u_{exact}$ is given by the array sol. More...
 
NekDouble L2 (const Array< OneD, const NekDouble > &phys, const Array< OneD, const NekDouble > &sol=NullNekDouble1DArray)
 Function to evaluate the discrete $ 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. More...
 
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. More...
 
const NormalVectorGetEdgeNormal (const int edge) const
 
void ComputeEdgeNormal (const int edge)
 
void NegateEdgeNormal (const int edge)
 
bool EdgeNormalNegated (const int edge)
 
void ComputeFaceNormal (const int face)
 
void NegateFaceNormal (const int face)
 
bool FaceNormalNegated (const int face)
 
void ComputeVertexNormal (const int vertex)
 
const NormalVectorGetFaceNormal (const int face) const
 
const NormalVectorGetVertexNormal (const int vertex) const
 
const NormalVectorGetSurfaceNormal (const int id) const
 
const LibUtilities::PointsKeyVector GetPointsKeys () const
 
Array< OneD, unsigned int > GetEdgeInverseBoundaryMap (int eid)
 
Array< OneD, unsigned int > GetFaceInverseBoundaryMap (int fid, StdRegions::Orientation faceOrient=eNoOrientation)
 
DNekMatSharedPtr BuildInverseTransformationMatrix (const DNekScalMatSharedPtr &m_transformationmatrix)
 
void PhysInterpToSimplexEquiSpaced (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, int npset=-1)
 This function performs an interpolation from the physical space points provided at input into an array of equispaced points which are not the collapsed coordinate. So for a tetrahedron you will only get a tetrahedral number of values. More...
 
void GetSimplexEquiSpacedConnectivity (Array< OneD, int > &conn, bool standard=true)
 This function provides the connectivity of local simplices (triangles or tets) to connect the equispaced data points provided by PhysInterpToSimplexEquiSpaced. More...
 
void EquiSpacedToCoeffs (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 This function performs a projection/interpolation from the equispaced points sometimes used in post-processing onto the coefficient space. More...
 
template<class T >
boost::shared_ptr< T > as ()
 
void IProductWRTBase_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool multiplybyweights=true)
 

Protected Member Functions

virtual const
LibUtilities::PointsKey 
v_GetNodalPointsKey () const
 
virtual bool v_IsNodalNonTensorialExp ()
 
virtual void v_BwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 Backward tranform for triangular elements. More...
 
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. More...
 
virtual void v_IProductWRTBase (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 Calculate the inner product of inarray with respect to the basis B=base0[p]*base1[pq] and put into outarray. More...
 
virtual void v_IProductWRTBase_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool multiplybyweights=true)
 
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, int P)
 
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. More...
 
virtual void v_PhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1, Array< OneD, NekDouble > &out_d2=NullNekDouble1DArray)
 Calculate the derivative of the physical points. More...
 
virtual void v_PhysDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 Calculate the derivative of the physical points in a given direction. More...
 
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. More...
 
virtual NekDouble v_PhysEvaluate (const Array< OneD, DNekMatSharedPtr > &I, const Array< OneD, const NekDouble > &physvals)
 
virtual void v_LaplacianMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey)
 
virtual void v_HelmholtzMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey)
 
virtual int v_GetTraceNcoeffs (const int i) const
 
- Protected Member Functions inherited from Nektar::StdRegions::StdExpansion
DNekMatSharedPtr CreateStdMatrix (const StdMatrixKey &mkey)
 
DNekBlkMatSharedPtr CreateStdStaticCondMatrix (const StdMatrixKey &mkey)
 Create the static condensation of a matrix when using a boundary interior decomposition. More...
 
IndexMapValuesSharedPtr CreateIndexMap (const IndexMapKey &ikey)
 Create an IndexMap which contains mapping information linking any specific element shape with either its boundaries, edges, faces, verteces, etc. More...
 
void BwdTrans_MatOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
void BwdTrans_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
void IProductWRTDerivBase_SumFac (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
void GeneralMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void MassMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void LaplacianMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void LaplacianMatrixOp_MatFree_Kernel (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp)
 
void LaplacianMatrixOp_MatFree_GenericImpl (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void LaplacianMatrixOp_MatFree (const int k1, const int k2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void WeakDerivMatrixOp_MatFree (const int i, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void WeakDirectionalDerivMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void MassLevelCurvatureMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void LinearAdvectionDiffusionReactionMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey, bool addDiffusionTerm=true)
 
void HelmholtzMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void HelmholtzMatrixOp_MatFree_GenericImpl (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
virtual void v_SetCoeffsToOrientation (StdRegions::Orientation dir, Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
virtual void v_SetCoeffsToOrientation (Array< OneD, NekDouble > &coeffs, StdRegions::Orientation dir)
 
virtual NekDouble v_StdPhysEvaluate (const Array< OneD, const NekDouble > &Lcoord, const Array< OneD, const NekDouble > &physvals)
 

Protected Attributes

LibUtilities::PointsKey m_nodalPointsKey
 
- Protected Attributes inherited from Nektar::StdRegions::StdExpansion
Array< OneD,
LibUtilities::BasisSharedPtr
m_base
 
int m_elmt_id
 
int m_ncoeffs
 
LibUtilities::NekManager
< StdMatrixKey, DNekMat,
StdMatrixKey::opLess
m_stdMatrixManager
 
LibUtilities::NekManager
< StdMatrixKey, DNekBlkMat,
StdMatrixKey::opLess
m_stdStaticCondMatrixManager
 
LibUtilities::NekManager
< IndexMapKey, IndexMapValues,
IndexMapKey::opLess
m_IndexMapManager
 

Detailed Description

Definition at line 48 of file StdNodalTriExp.h.

Constructor & Destructor Documentation

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

Definition at line 45 of file StdNodalTriExp.cpp.

45  :
46  StdTriExp(),
48  {
49  }
LibUtilities::PointsKey m_nodalPointsKey
Nektar::StdRegions::StdNodalTriExp::StdNodalTriExp ( const LibUtilities::BasisKey Ba,
const LibUtilities::BasisKey Bb,
const LibUtilities::PointsType  Ntype 
)

Definition at line 51 of file StdNodalTriExp.cpp.

References ASSERTL0, and Nektar::StdRegions::StdExpansion::m_base.

54  :
56  Ba.GetNumModes(),
57  Bb.GetNumModes()),
58  2,Ba,Bb),
60  Ba.GetNumModes(),
61  Bb.GetNumModes()),
62  Ba,Bb),
63  StdTriExp (Ba,Bb),
64  m_nodalPointsKey(Ba.GetNumModes(),Ntype)
65  {
66  ASSERTL0(m_base[0]->GetNumModes() == m_base[1]->GetNumModes(),
67  "Nodal basis initiated with different orders in the a "
68  "and b directions");
69  }
#define ASSERTL0(condition, msg)
Definition: ErrorUtil.hpp:198
LibUtilities::PointsKey m_nodalPointsKey
int getNumberOfCoefficients(int Na, int Nb)
Definition: ShapeType.hpp:111
StdExpansion()
Default Constructor.
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Nektar::StdRegions::StdNodalTriExp::StdNodalTriExp ( const StdNodalTriExp T)

Definition at line 71 of file StdNodalTriExp.cpp.

71  :
72  StdExpansion(T),
73  StdExpansion2D(T),
74  StdTriExp(T),
75  m_nodalPointsKey(T.m_nodalPointsKey)
76  {
77  }
LibUtilities::PointsKey m_nodalPointsKey
StdExpansion()
Default Constructor.
Nektar::StdRegions::StdNodalTriExp::~StdNodalTriExp ( )

Definition at line 79 of file StdNodalTriExp.cpp.

80  {
81  }

Member Function Documentation

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

Definition at line 143 of file StdNodalTriExp.cpp.

References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), GetNodalPoints(), Nektar::StdRegions::StdExpansion::GetTotPoints(), Nektar::StdRegions::StdExpansion::m_ncoeffs, Nektar::StdRegions::StdTriExp::v_FillMode(), and Nektar::StdRegions::StdExpansion2D::v_PhysEvaluate().

Referenced by v_GenMatrix().

144  {
145  int i,j;
146  Array<OneD, const NekDouble> r, s;
147  Array<OneD, NekDouble> c(2);
148  DNekMatSharedPtr Mat;
149 
152  GetNodalPoints(r,s);
153 
154  //Store the values of m_phys in a temporary array
155  int nqtot = GetTotPoints();
156  Array<OneD,NekDouble> phys(nqtot);
157 
158  for(i = 0; i < m_ncoeffs; ++i)
159  {
160  // fill physical space with mode i
161  StdTriExp::v_FillMode(i,phys);
162 
163  // interpolate mode i to the Nodal points 'j' and
164  // store in outarray
165  for(j = 0; j < m_ncoeffs; ++j)
166  {
167  c[0] = r[j];
168  c[1] = s[j];
169  (*Mat)(j,i) = StdTriExp::v_PhysEvaluate(c,phys);
170  }
171  }
172  return Mat;
173  }
static boost::shared_ptr< DataType > AllocateSharedPtr()
Allocate a shared pointer from the memory pool.
boost::shared_ptr< DNekMat > DNekMatSharedPtr
Definition: NekTypeDefs.hpp:70
int GetTotPoints() const
This function returns the total number of quadrature points used in the element.
Definition: StdExpansion.h:141
void GetNodalPoints(Array< OneD, const NekDouble > &x, Array< OneD, const NekDouble > &y)
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 void v_FillMode(const int mode, Array< OneD, NekDouble > &outarray)
Definition: StdTriExp.cpp:686
void Nektar::StdRegions::StdNodalTriExp::GetNodalPoints ( Array< OneD, const NekDouble > &  x,
Array< OneD, const NekDouble > &  y 
)

Definition at line 136 of file StdNodalTriExp.cpp.

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

Referenced by GenNBasisTransMatrix().

139  {
141  }
LibUtilities::PointsKey m_nodalPointsKey
PointsManagerT & PointsManager(void)
void Nektar::StdRegions::StdNodalTriExp::ModalToNodal ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)

Definition at line 121 of file StdNodalTriExp.cpp.

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

Referenced by Nektar::GlobalMapping::UpdateGeometry().

124  {
125  StdMatrixKey Nkey(eNBasisTrans, DetShapeType(), *this,
128  DNekMatSharedPtr vdm = GetStdMatrix(Nkey);
129 
130  // Multiply out matrix
131  NekVector<NekDouble> modal(m_ncoeffs,inarray,eWrapper);
132  NekVector<NekDouble> nodal(m_ncoeffs,outarray,eWrapper);
133  nodal = (*vdm)*modal;
134  }
LibUtilities::ShapeType DetShapeType() const
This function returns the shape of the expansion domain.
Definition: StdExpansion.h:470
boost::shared_ptr< DNekMat > DNekMatSharedPtr
Definition: NekTypeDefs.hpp:70
DNekMatSharedPtr GetStdMatrix(const StdMatrixKey &mkey)
Definition: StdExpansion.h:706
LibUtilities::PointsKey m_nodalPointsKey
PointsType GetPointsType() const
Definition: Points.h:111
static VarCoeffMap NullVarCoeffMap
Definition: StdRegions.hpp:228
static ConstFactorMap NullConstFactorMap
Definition: StdRegions.hpp:253
void Nektar::StdRegions::StdNodalTriExp::NodalToModal ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)

Definition at line 92 of file StdNodalTriExp.cpp.

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

Referenced by v_BwdTrans_SumFac().

95  {
96  StdMatrixKey Nkey(eInvNBasisTrans, DetShapeType(), *this,
99  DNekMatSharedPtr inv_vdm = GetStdMatrix(Nkey);
100 
101  NekVector<NekDouble> nodal(m_ncoeffs,inarray,eWrapper);
102  NekVector<NekDouble> modal(m_ncoeffs,outarray,eWrapper);
103  modal = (*inv_vdm) * nodal;
104  }
LibUtilities::ShapeType DetShapeType() const
This function returns the shape of the expansion domain.
Definition: StdExpansion.h:470
boost::shared_ptr< DNekMat > DNekMatSharedPtr
Definition: NekTypeDefs.hpp:70
DNekMatSharedPtr GetStdMatrix(const StdMatrixKey &mkey)
Definition: StdExpansion.h:706
LibUtilities::PointsKey m_nodalPointsKey
PointsType GetPointsType() const
Definition: Points.h:111
static VarCoeffMap NullVarCoeffMap
Definition: StdRegions.hpp:228
static ConstFactorMap NullConstFactorMap
Definition: StdRegions.hpp:253
void Nektar::StdRegions::StdNodalTriExp::NodalToModalTranspose ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)

Definition at line 107 of file StdNodalTriExp.cpp.

References Nektar::StdRegions::StdExpansion::DetShapeType(), Nektar::eCopy, Nektar::StdRegions::eInvNBasisTrans, Nektar::eWrapper, Nektar::LibUtilities::PointsKey::GetPointsType(), 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().

110  {
111  StdMatrixKey Nkey(eInvNBasisTrans, DetShapeType(), *this,
114  DNekMatSharedPtr inv_vdm = GetStdMatrix(Nkey);
115 
116  NekVector<NekDouble> nodal(m_ncoeffs,inarray,eCopy);
117  NekVector<NekDouble> modal(m_ncoeffs,outarray,eWrapper);
118  modal = Transpose(*inv_vdm) * nodal;
119  }
LibUtilities::ShapeType DetShapeType() const
This function returns the shape of the expansion domain.
Definition: StdExpansion.h:470
boost::shared_ptr< DNekMat > DNekMatSharedPtr
Definition: NekTypeDefs.hpp:70
DNekMatSharedPtr GetStdMatrix(const StdMatrixKey &mkey)
Definition: StdExpansion.h:706
LibUtilities::PointsKey m_nodalPointsKey
NekMatrix< InnerMatrixType, BlockMatrixTag > Transpose(NekMatrix< InnerMatrixType, BlockMatrixTag > &rhs)
PointsType GetPointsType() const
Definition: Points.h:111
static VarCoeffMap NullVarCoeffMap
Definition: StdRegions.hpp:228
static ConstFactorMap NullConstFactorMap
Definition: StdRegions.hpp:253
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 180 of file StdNodalTriExp.cpp.

References v_BwdTrans_SumFac().

Referenced by v_FillMode().

183  {
184  v_BwdTrans_SumFac(inarray,outarray);
185  }
virtual void v_BwdTrans_SumFac(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
void Nektar::StdRegions::StdNodalTriExp::v_BwdTrans_SumFac ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdTriExp.

Reimplemented in Nektar::LocalRegions::NodalTriExp.

Definition at line 187 of file StdNodalTriExp.cpp.

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

Referenced by v_BwdTrans().

190  {
191  Array<OneD, NekDouble> tmp(m_ncoeffs);
192  NodalToModal(inarray,tmp);
193  StdTriExp::v_BwdTrans_SumFac(tmp,outarray);
194  }
virtual void v_BwdTrans_SumFac(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
Definition: StdTriExp.cpp:254
void NodalToModal(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
DNekMatSharedPtr Nektar::StdRegions::StdNodalTriExp::v_CreateStdMatrix ( const StdMatrixKey mkey)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdTriExp.

Reimplemented in Nektar::LocalRegions::NodalTriExp.

Definition at line 421 of file StdNodalTriExp.cpp.

References v_GenMatrix().

423  {
424  return StdNodalTriExp::v_GenMatrix(mkey);
425  }
virtual DNekMatSharedPtr v_GenMatrix(const StdMatrixKey &mkey)
void Nektar::StdRegions::StdNodalTriExp::v_FillMode ( const int  mode,
Array< OneD, NekDouble > &  outarray 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdTriExp.

Definition at line 257 of file StdNodalTriExp.cpp.

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

260  {
261  ASSERTL2(mode >= m_ncoeffs,
262  "calling argument mode is larger than total expansion order");
263 
264  Vmath::Zero(m_ncoeffs, outarray, 1);
265  outarray[mode] = 1.0;
266  v_BwdTrans(outarray,outarray);
267  }
virtual void v_BwdTrans(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
Backward tranform for triangular elements.
#define ASSERTL2(condition, msg)
Assert Level 2 – Debugging which is used FULLDEBUG compilation mode. This level assert is designed t...
Definition: ErrorUtil.hpp:250
void Zero(int n, T *x, const int incx)
Zero vector.
Definition: Vmath.cpp:373
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.

Reimplemented in Nektar::LocalRegions::NodalTriExp.

Definition at line 196 of file StdNodalTriExp.cpp.

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

199  {
200  v_IProductWRTBase(inarray,outarray);
201 
202  // get Mass matrix inverse
203  StdMatrixKey masskey(eInvMass, DetShapeType(), *this,
206  DNekMatSharedPtr matsys = GetStdMatrix(masskey);
207 
208  // copy inarray in case inarray == outarray
209  NekVector<NekDouble> in(m_ncoeffs,outarray,eCopy);
210  NekVector<NekDouble> out(m_ncoeffs,outarray,eWrapper);
211 
212  out = (*matsys)*in;
213  }
LibUtilities::ShapeType DetShapeType() const
This function returns the shape of the expansion domain.
Definition: StdExpansion.h:470
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 ou...
boost::shared_ptr< DNekMat > DNekMatSharedPtr
Definition: NekTypeDefs.hpp:70
DNekMatSharedPtr GetStdMatrix(const StdMatrixKey &mkey)
Definition: StdExpansion.h:706
LibUtilities::PointsKey m_nodalPointsKey
PointsType GetPointsType() const
Definition: Points.h:111
static VarCoeffMap NullVarCoeffMap
Definition: StdRegions.hpp:228
static ConstFactorMap NullConstFactorMap
Definition: StdRegions.hpp:253
DNekMatSharedPtr Nektar::StdRegions::StdNodalTriExp::v_GenMatrix ( const StdMatrixKey mkey)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdTriExp.

Reimplemented in Nektar::LocalRegions::NodalTriExp.

Definition at line 404 of file StdNodalTriExp.cpp.

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

Referenced by v_CreateStdMatrix().

405  {
406  DNekMatSharedPtr Mat;
407 
408  switch(mkey.GetMatrixType())
409  {
410  case eNBasisTrans:
411  Mat = GenNBasisTransMatrix();
412  break;
413  default:
415  break;
416  }
417 
418  return Mat;
419  }
boost::shared_ptr< DNekMat > DNekMatSharedPtr
Definition: NekTypeDefs.hpp:70
DNekMatSharedPtr CreateGeneralMatrix(const StdMatrixKey &mkey)
this function generates the mass matrix
void Nektar::StdRegions::StdNodalTriExp::v_GetBoundaryMap ( Array< OneD, unsigned int > &  outarray)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdTriExp.

Definition at line 384 of file StdNodalTriExp.cpp.

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

386  {
387  unsigned int i;
388  if (outarray.num_elements()!=NumBndryCoeffs())
389  {
390  outarray = Array<OneD, unsigned int>(NumBndryCoeffs());
391  }
392 
393  for (i = 0; i < NumBndryCoeffs(); i++)
394  {
395  outarray[i] = i;
396  }
397  }
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 332 of file StdNodalTriExp.cpp.

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

337  {
338  ASSERTL0(eid >= 0 && eid <= 2,
339  "Local Edge ID must be between 0 and 2");
340 
341  const int nEdgeIntCoeffs = GetEdgeNcoeffs(eid)-2;
342 
343  if (maparray.num_elements() != nEdgeIntCoeffs)
344  {
345  maparray = Array<OneD, unsigned int>(nEdgeIntCoeffs);
346  }
347 
348  if (signarray.num_elements() != nEdgeIntCoeffs)
349  {
350  signarray = Array<OneD, int>(nEdgeIntCoeffs,1);
351  }
352  else
353  {
354  fill(signarray.get(), signarray.get()+nEdgeIntCoeffs, 1);
355  }
356 
357  for (int i = 0; i < nEdgeIntCoeffs; i++)
358  {
359  maparray[i] = eid*nEdgeIntCoeffs+3+i;
360  }
361 
362  if (edgeOrient == eBackwards)
363  {
364  reverse(maparray.get(), maparray.get()+nEdgeIntCoeffs);
365  }
366  }
#define ASSERTL0(condition, msg)
Definition: ErrorUtil.hpp:198
int GetEdgeNcoeffs(const int i) const
This function returns the number of expansion coefficients belonging to the i-th edge.
Definition: StdExpansion.h:287
void Nektar::StdRegions::StdNodalTriExp::v_GetEdgeToElementMap ( const int  eid,
const Orientation  edgeOrient,
Array< OneD, unsigned int > &  maparray,
Array< OneD, int > &  signarray,
int  P 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdTriExp.

Definition at line 283 of file StdNodalTriExp.cpp.

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

289  {
290  ASSERTL0(eid >= 0 && eid <= 2,
291  "Local Edge ID must be between 0 and 2");
292 
293  ASSERTL0(P == -1, "Nodal triangle not set up to deal with variable"
294  "polynomial order.");
295  const int nEdgeCoeffs = GetEdgeNcoeffs(eid);
296 
297  if (maparray.num_elements() != nEdgeCoeffs)
298  {
299  maparray = Array<OneD, unsigned int>(nEdgeCoeffs);
300  }
301 
302  if (signarray.num_elements() != nEdgeCoeffs)
303  {
304  signarray = Array<OneD, int>(nEdgeCoeffs,1);
305  }
306  else
307  {
308  fill(signarray.get(), signarray.get()+nEdgeCoeffs, 1);
309  }
310 
311  maparray[0] = eid;
312  maparray[1] = eid == 2 ? 0 : eid+1;
313  for (int i = 2; i < nEdgeCoeffs; i++)
314  {
315  maparray[i] = eid*(nEdgeCoeffs-2)+1+i;
316  }
317 
318  if (edgeOrient == eBackwards)
319  {
320  reverse(maparray.get(), maparray.get()+nEdgeCoeffs);
321  }
322  }
#define ASSERTL0(condition, msg)
Definition: ErrorUtil.hpp:198
int GetEdgeNcoeffs(const int i) const
This function returns the number of expansion coefficients belonging to the i-th edge.
Definition: StdExpansion.h:287
void Nektar::StdRegions::StdNodalTriExp::v_GetInteriorMap ( Array< OneD, unsigned int > &  outarray)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdTriExp.

Definition at line 368 of file StdNodalTriExp.cpp.

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

370  {
371  unsigned int i;
372  if (outarray.num_elements() != GetNcoeffs()-NumBndryCoeffs())
373  {
374  outarray = Array<OneD, unsigned int>(
376  }
377 
378  for (i = NumBndryCoeffs(); i < GetNcoeffs(); i++)
379  {
380  outarray[i-NumBndryCoeffs()] = i;
381  }
382  }
int GetNcoeffs(void) const
This function returns the total number of coefficients used in the expansion.
Definition: StdExpansion.h:131
virtual const LibUtilities::PointsKey Nektar::StdRegions::StdNodalTriExp::v_GetNodalPointsKey ( ) const
inlineprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 80 of file StdNodalTriExp.h.

References m_nodalPointsKey.

81  {
82  return m_nodalPointsKey;
83  };
LibUtilities::PointsKey m_nodalPointsKey
int Nektar::StdRegions::StdNodalTriExp::v_GetVertexMap ( int  localVertexId,
bool  useCoeffPacking = false 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdTriExp.

Definition at line 324 of file StdNodalTriExp.cpp.

References ASSERTL0.

326  {
327  ASSERTL0(localVertexId >= 0 && localVertexId <= 2,
328  "Local Vertex ID must be between 0 and 2");
329  return localVertexId;
330  }
#define ASSERTL0(condition, msg)
Definition: ErrorUtil.hpp:198
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.

Reimplemented in Nektar::LocalRegions::NodalTriExp.

Definition at line 470 of file StdNodalTriExp.cpp.

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

474  {
476  inarray,outarray,mkey);
477  }
void HelmholtzMatrixOp_MatFree_GenericImpl(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &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.

Reimplemented in Nektar::LocalRegions::NodalTriExp.

Definition at line 220 of file StdNodalTriExp.cpp.

References v_IProductWRTBase_SumFac().

Referenced by v_FwdTrans().

223  {
224  v_IProductWRTBase_SumFac(inarray,outarray);
225  }
virtual void v_IProductWRTBase_SumFac(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool multiplybyweights=true)
void Nektar::StdRegions::StdNodalTriExp::v_IProductWRTBase_SumFac ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray,
bool  multiplybyweights = true 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdTriExp.

Reimplemented in Nektar::LocalRegions::NodalTriExp.

Definition at line 227 of file StdNodalTriExp.cpp.

References NodalToModalTranspose(), and Nektar::StdRegions::StdTriExp::v_IProductWRTBase_SumFac().

Referenced by v_IProductWRTBase().

231  {
232  StdTriExp::v_IProductWRTBase_SumFac(inarray,outarray,multiplybyweights);
233  NodalToModalTranspose(outarray,outarray);
234  }
void NodalToModalTranspose(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
virtual void v_IProductWRTBase_SumFac(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool multiplybyweights=true)
Definition: StdTriExp.cpp:479
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.

Reimplemented in Nektar::LocalRegions::NodalTriExp.

Definition at line 236 of file StdNodalTriExp.cpp.

References v_IProductWRTDerivBase_SumFac().

240  {
241  v_IProductWRTDerivBase_SumFac(dir,inarray,outarray);
242  }
virtual void v_IProductWRTDerivBase_SumFac(const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &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.

Reimplemented in Nektar::LocalRegions::NodalTriExp.

Definition at line 244 of file StdNodalTriExp.cpp.

References NodalToModalTranspose(), and Nektar::StdRegions::StdTriExp::v_IProductWRTDerivBase_SumFac().

Referenced by v_IProductWRTDerivBase().

248  {
249  StdTriExp::v_IProductWRTDerivBase_SumFac(dir,inarray,outarray);
250  NodalToModalTranspose(outarray,outarray);
251  }
virtual void v_IProductWRTDerivBase_SumFac(const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
Definition: StdTriExp.cpp:589
void NodalToModalTranspose(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
bool Nektar::StdRegions::StdNodalTriExp::v_IsNodalNonTensorialExp ( )
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 83 of file StdNodalTriExp.cpp.

84  {
85  return true;
86  }
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.

Reimplemented in Nektar::LocalRegions::NodalTriExp.

Definition at line 440 of file StdNodalTriExp.cpp.

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

444  {
446  inarray,outarray,mkey);
447  }
void LaplacianMatrixOp_MatFree_GenericImpl(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &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.

Reimplemented in Nektar::LocalRegions::NodalTriExp.

Definition at line 449 of file StdNodalTriExp.cpp.

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

456  {
458  k1,k2,inarray,outarray,mkey);
459  }
void LaplacianMatrixOp_MatFree(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &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.

Reimplemented in Nektar::LocalRegions::NodalTriExp.

Definition at line 432 of file StdNodalTriExp.cpp.

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

436  {
437  StdExpansion::MassMatrixOp_MatFree(inarray,outarray,mkey);
438  }
void MassMatrixOp_MatFree(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
int Nektar::StdRegions::StdNodalTriExp::v_NumBndryCoeffs ( ) const
protectedvirtual

Reimplemented from Nektar::StdRegions::StdTriExp.

Definition at line 274 of file StdNodalTriExp.cpp.

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

275  {
276  return 3 + (GetBasisNumModes(0)-2) + 2*(GetBasisNumModes(1)-2);
277  }
int GetBasisNumModes(const int dir) const
This function returns the number of expansion modes in the dir direction.
Definition: StdExpansion.h:178
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.

Reimplemented in Nektar::LocalRegions::NodalTriExp.

Definition at line 461 of file StdNodalTriExp.cpp.

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

466  {
467  StdExpansion::WeakDerivMatrixOp_MatFree(i,inarray,outarray,mkey);
468  }
void WeakDerivMatrixOp_MatFree(const int i, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)

Member Data Documentation

LibUtilities::PointsKey Nektar::StdRegions::StdNodalTriExp::m_nodalPointsKey
protected