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Nektar::StdRegions::StdNodalPrismExp Class Reference

#include <StdNodalPrismExp.h>

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Public Member Functions

 StdNodalPrismExp ()
 
 StdNodalPrismExp (const LibUtilities::BasisKey &Ba, const LibUtilities::BasisKey &Bb, const LibUtilities::BasisKey &Bc, const LibUtilities::PointsType Ntype)
 
 StdNodalPrismExp (const StdNodalPrismExp &T)
 
 ~StdNodalPrismExp ()
 
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, Array< OneD, const NekDouble > &z)
 
DNekMatSharedPtr GenNBasisTransMatrix ()
 
- Public Member Functions inherited from Nektar::StdRegions::StdPrismExp
 StdPrismExp ()
 
 StdPrismExp (const LibUtilities::BasisKey &Ba, const LibUtilities::BasisKey &Bb, const LibUtilities::BasisKey &Bc)
 
 StdPrismExp (const LibUtilities::BasisKey &Ba, const LibUtilities::BasisKey &Bb, const LibUtilities::BasisKey &Bc, NekDouble *coeffs, NekDouble *phys)
 
 StdPrismExp (const StdPrismExp &T)
 
 ~StdPrismExp ()
 
- Public Member Functions inherited from Nektar::StdRegions::StdExpansion3D
 StdExpansion3D ()
 
 StdExpansion3D (int numcoeffs, const LibUtilities::BasisKey &Ba, const LibUtilities::BasisKey &Bb, const LibUtilities::BasisKey &Bc)
 
 StdExpansion3D (const StdExpansion3D &T)
 
virtual ~StdExpansion3D ()
 
void PhysTensorDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray_d1, Array< OneD, NekDouble > &outarray_d2, Array< OneD, NekDouble > &outarray_d3)
 Calculate the 3D derivative in the local tensor/collapsed coordinate at the physical points. More...
 
void BwdTrans_SumFacKernel (const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &base2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0, bool doCheckCollDir1, bool doCheckCollDir2)
 
void IProductWRTBase_SumFacKernel (const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &base2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0, bool doCheckCollDir1, bool doCheckCollDir2)
 
- Public Member Functions inherited from Nektar::StdRegions::StdExpansion
 StdExpansion ()
 Default Constructor. More...
 
 StdExpansion (const int numcoeffs, const int numbases, const LibUtilities::BasisKey &Ba=LibUtilities::NullBasisKey, const LibUtilities::BasisKey &Bb=LibUtilities::NullBasisKey, const LibUtilities::BasisKey &Bc=LibUtilities::NullBasisKey)
 Constructor. More...
 
 StdExpansion (const StdExpansion &T)
 Copy Constructor. More...
 
virtual ~StdExpansion ()
 Destructor. More...
 
int GetNumBases () const
 This function returns the number of 1D bases used in the expansion. More...
 
const Array< OneD, const LibUtilities::BasisSharedPtr > & GetBase () const
 This function gets the shared point to basis. More...
 
const LibUtilities::BasisSharedPtrGetBasis (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
 
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
 
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, 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. 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 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_ExtractDataToCoeffs (const NekDouble *data, const std::vector< unsigned int > &nummodes, const int nmode_offset, NekDouble *coeffs)
 Unpack data from input file assuming it comes from the same expansion type. More...
 
virtual void v_NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, 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. 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)
 
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)
 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...
 
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)
 
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)
 Forward transform from physical quadrature space stored in inarray and evaluate the expansion coefficients and store in outarray. 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*base1*base2 and put into outarray: More...
 
virtual void v_IProductWRTBase_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool mult=true)
 
virtual void v_IProductWRTDerivBase (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 Inner product of inarray over region with respect to the object's default expansion basis; output in outarray. More...
 
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_GetVertexMap (const int localVertexId, bool useCoeffPacking=false)
 
virtual void v_GetBoundaryMap (Array< OneD, unsigned int > &outarray)
 
virtual void v_GetInteriorMap (Array< OneD, unsigned int > &outarray)
 
virtual DNekMatSharedPtr v_GenMatrix (const StdMatrixKey &mkey)
 
virtual DNekMatSharedPtr v_CreateStdMatrix (const StdMatrixKey &mkey)
 
- Protected Member Functions inherited from Nektar::StdRegions::StdPrismExp
virtual void v_PhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1, Array< OneD, NekDouble > &out_d2)
 Calculate the derivative of the physical points. More...
 
virtual void v_PhysDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 Calculate the derivative of the physical points in a 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)
 
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 > &base2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0, bool doCheckCollDir1, bool doCheckCollDir2)
 
virtual void v_IProductWRTBase_MatOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
virtual void v_IProductWRTBase_SumFacKernel (const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &base2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0, bool doCheckCollDir1, bool doCheckCollDir2)
 
virtual void v_IProductWRTDerivBase_MatOp (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
virtual void v_LocCoordToLocCollapsed (const Array< OneD, const NekDouble > &xi, Array< OneD, NekDouble > &eta)
 
virtual void v_GetCoords (Array< OneD, NekDouble > &xi_x, Array< OneD, NekDouble > &xi_y, Array< OneD, NekDouble > &xi_z)
 
virtual int v_GetNverts () const
 
virtual int v_GetNedges () const
 
virtual int v_GetNfaces () const
 
virtual LibUtilities::ShapeType v_DetShapeType () const
 Return Shape of region, using ShapeType enum list; i.e. prism. More...
 
virtual int v_NumBndryCoeffs () const
 
virtual int v_NumDGBndryCoeffs () const
 
virtual int v_GetEdgeNcoeffs (const int i) const
 
virtual int v_GetTotalEdgeIntNcoeffs () const
 
virtual int v_GetFaceNcoeffs (const int i) const
 
virtual int v_GetFaceNumPoints (const int i) const
 
virtual LibUtilities::PointsKey v_GetFacePointsKey (const int i, const int j) const
 
virtual const LibUtilities::BasisKey v_DetFaceBasisKey (const int i, const int k) const
 
virtual int v_GetFaceIntNcoeffs (const int i) const
 
virtual int v_GetTotalFaceIntNcoeffs () const
 
virtual int v_CalcNumberOfCoefficients (const std::vector< unsigned int > &nummodes, int &modes_offset)
 
virtual LibUtilities::BasisType v_GetEdgeBasisType (const int i) const
 
virtual bool v_IsBoundaryInteriorExpansion ()
 
virtual void v_GetFaceToElementMap (const int fid, const Orientation faceOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, int nummodesA=-1, int nummodesB=-1)
 
virtual void v_GetEdgeInteriorMap (const int eid, const Orientation edgeOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray)
 
virtual void v_GetFaceInteriorMap (const int fid, const Orientation faceOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray)
 
virtual void v_MultiplyByStdQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
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)
 
- Protected Member Functions inherited from Nektar::StdRegions::StdExpansion3D
virtual NekDouble v_PhysEvaluate (const Array< OneD, const NekDouble > &coords, const Array< OneD, const NekDouble > &physvals)
 This function evaluates the expansion at a single (arbitrary) point of the domain. More...
 
virtual NekDouble v_PhysEvaluate (const Array< OneD, DNekMatSharedPtr > &I, const Array< OneD, const NekDouble > &physvals)
 
virtual void v_LaplacianMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey)
 
virtual void v_HelmholtzMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey)
 
virtual NekDouble v_Integral (const Array< OneD, const NekDouble > &inarray)
 Integrates the specified function over the domain. More...
 
virtual void v_NegateFaceNormal (const int face)
 
- 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::StdExpansion3D
std::map< int, NormalVectorm_faceNormals
 
std::map< int, bool > m_negatedNormals
 
- Protected Attributes inherited from Nektar::StdRegions::StdExpansion
Array< OneD, LibUtilities::BasisSharedPtrm_base
 
int m_elmt_id
 
int m_ncoeffs
 
LibUtilities::NekManager< StdMatrixKey, DNekMat, StdMatrixKey::opLessm_stdMatrixManager
 
LibUtilities::NekManager< StdMatrixKey, DNekBlkMat, StdMatrixKey::opLessm_stdStaticCondMatrixManager
 
LibUtilities::NekManager< IndexMapKey, IndexMapValues, IndexMapKey::opLessm_IndexMapManager
 

Detailed Description

Definition at line 46 of file StdNodalPrismExp.h.

Constructor & Destructor Documentation

Nektar::StdRegions::StdNodalPrismExp::StdNodalPrismExp ( )
Nektar::StdRegions::StdNodalPrismExp::StdNodalPrismExp ( const LibUtilities::BasisKey Ba,
const LibUtilities::BasisKey Bb,
const LibUtilities::BasisKey Bc,
const LibUtilities::PointsType  Ntype 
)

Definition at line 43 of file StdNodalPrismExp.cpp.

References ASSERTL0, and Nektar::LibUtilities::BasisKey::GetNumModes().

47  :
49  Ba.GetNumModes(),
50  Bb.GetNumModes(),
51  Bc.GetNumModes()),
52  3,Ba,Bb,Bc),
54  Ba.GetNumModes(),
55  Bb.GetNumModes(),
56  Bc.GetNumModes()),
57  Ba,Bb,Bc),
58  StdPrismExp (Ba,Bb,Bc),
59  m_nodalPointsKey(Ba.GetNumModes(),Ntype)
60  {
61  ASSERTL0(Ba.GetNumModes() <= Bc.GetNumModes(),
62  "order in 'a' direction is higher than order "
63  "in 'c' direction");
64  }
#define ASSERTL0(condition, msg)
Definition: ErrorUtil.hpp:161
int getNumberOfCoefficients(int Na, int Nb, int Nc)
Definition: ShapeType.hpp:286
LibUtilities::PointsKey m_nodalPointsKey
StdExpansion()
Default Constructor.
Nektar::StdRegions::StdNodalPrismExp::StdNodalPrismExp ( const StdNodalPrismExp T)

Definition at line 66 of file StdNodalPrismExp.cpp.

66  :
67  StdExpansion(T),
68  StdExpansion3D(T),
69  StdPrismExp(T),
70  m_nodalPointsKey(T.m_nodalPointsKey)
71  {
72  }
LibUtilities::PointsKey m_nodalPointsKey
StdExpansion()
Default Constructor.
Nektar::StdRegions::StdNodalPrismExp::~StdNodalPrismExp ( )

Definition at line 74 of file StdNodalPrismExp.cpp.

75  {
76  }

Member Function Documentation

DNekMatSharedPtr Nektar::StdRegions::StdNodalPrismExp::GenNBasisTransMatrix ( )

Definition at line 142 of file StdNodalPrismExp.cpp.

References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), GetNodalPoints(), Nektar::StdRegions::StdExpansion::GetTotPoints(), Nektar::StdRegions::StdExpansion::m_ncoeffs, Nektar::StdRegions::StdPrismExp::v_FillMode(), and Nektar::StdRegions::StdExpansion3D::v_PhysEvaluate().

Referenced by v_GenMatrix().

143  {
144  int i,j;
145  Array<OneD, const NekDouble> r, s, t;
146  Array<OneD, NekDouble> c(3);
147  DNekMatSharedPtr Mat;
148 
151  GetNodalPoints(r,s,t);
152 
153  //Store the values of m_phys in a temporary array
154  int nqtot = GetTotPoints();
155  Array<OneD,NekDouble> tmp_phys(nqtot);
156 
157  for(i = 0; i < m_ncoeffs; ++i)
158  {
159  // fill physical space with mode i
160  StdPrismExp::v_FillMode(i,tmp_phys);
161 
162  // interpolate mode i to the Nodal points 'j' and
163  // store in outarray
164  for(j = 0; j < m_ncoeffs; ++j)
165  {
166  c[0] = r[j];
167  c[1] = s[j];
168  c[2] = t[j];
169  (*Mat)(j,i) = StdPrismExp::v_PhysEvaluate(c,tmp_phys);
170  }
171  }
172 
173  return Mat;
174  }
virtual void v_FillMode(const int mode, Array< OneD, NekDouble > &outarray)
static boost::shared_ptr< DataType > AllocateSharedPtr()
Allocate a shared pointer from the memory pool.
void GetNodalPoints(Array< OneD, const NekDouble > &x, Array< OneD, const NekDouble > &y, Array< OneD, const NekDouble > &z)
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
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.
void Nektar::StdRegions::StdNodalPrismExp::GetNodalPoints ( Array< OneD, const NekDouble > &  x,
Array< OneD, const NekDouble > &  y,
Array< OneD, const NekDouble > &  z 
)

Definition at line 133 of file StdNodalPrismExp.cpp.

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

Referenced by GenNBasisTransMatrix().

137  {
138  // Get 3D nodal distribution.
139  LibUtilities::PointsManager()[m_nodalPointsKey]->GetPoints(x,y,z);
140  }
PointsManagerT & PointsManager(void)
LibUtilities::PointsKey m_nodalPointsKey
void Nektar::StdRegions::StdNodalPrismExp::ModalToNodal ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)

Definition at line 118 of file StdNodalPrismExp.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.

121  {
122  StdMatrixKey Nkey(eNBasisTrans, DetShapeType(), *this,
125  DNekMatSharedPtr vdm = GetStdMatrix(Nkey);
126 
127  // Multiply out matrix
128  NekVector<NekDouble> modal(m_ncoeffs,inarray,eWrapper);
129  NekVector<NekDouble> nodal(m_ncoeffs,outarray,eWrapper);
130  nodal = (*vdm)*modal;
131  }
LibUtilities::ShapeType DetShapeType() const
This function returns the shape of the expansion domain.
Definition: StdExpansion.h:454
boost::shared_ptr< DNekMat > DNekMatSharedPtr
Definition: NekTypeDefs.hpp:70
DNekMatSharedPtr GetStdMatrix(const StdMatrixKey &mkey)
Definition: StdExpansion.h:684
LibUtilities::PointsKey m_nodalPointsKey
PointsType GetPointsType() const
Definition: Points.h:111
static VarCoeffMap NullVarCoeffMap
Definition: StdRegions.hpp:226
static ConstFactorMap NullConstFactorMap
Definition: StdRegions.hpp:249
void Nektar::StdRegions::StdNodalPrismExp::NodalToModal ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)

Definition at line 89 of file StdNodalPrismExp.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().

92  {
93  StdMatrixKey Nkey(eInvNBasisTrans, DetShapeType(), *this,
96  DNekMatSharedPtr inv_vdm = GetStdMatrix(Nkey);
97 
98  NekVector<NekDouble> nodal(m_ncoeffs,inarray,eWrapper);
99  NekVector<NekDouble> modal(m_ncoeffs,outarray,eWrapper);
100  modal = (*inv_vdm) * nodal;
101  }
LibUtilities::ShapeType DetShapeType() const
This function returns the shape of the expansion domain.
Definition: StdExpansion.h:454
boost::shared_ptr< DNekMat > DNekMatSharedPtr
Definition: NekTypeDefs.hpp:70
DNekMatSharedPtr GetStdMatrix(const StdMatrixKey &mkey)
Definition: StdExpansion.h:684
LibUtilities::PointsKey m_nodalPointsKey
PointsType GetPointsType() const
Definition: Points.h:111
static VarCoeffMap NullVarCoeffMap
Definition: StdRegions.hpp:226
static ConstFactorMap NullConstFactorMap
Definition: StdRegions.hpp:249
void Nektar::StdRegions::StdNodalPrismExp::NodalToModalTranspose ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)

Definition at line 104 of file StdNodalPrismExp.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 v_IProductWRTBase_SumFac(), and v_IProductWRTDerivBase_SumFac().

107  {
108  StdMatrixKey Nkey(eInvNBasisTrans, DetShapeType(), *this,
111  DNekMatSharedPtr inv_vdm = GetStdMatrix(Nkey);
112 
113  NekVector<NekDouble> nodal(m_ncoeffs,inarray,eCopy);
114  NekVector<NekDouble> modal(m_ncoeffs,outarray,eWrapper);
115  modal = Transpose(*inv_vdm) * nodal;
116  }
LibUtilities::ShapeType DetShapeType() const
This function returns the shape of the expansion domain.
Definition: StdExpansion.h:454
boost::shared_ptr< DNekMat > DNekMatSharedPtr
Definition: NekTypeDefs.hpp:70
DNekMatSharedPtr GetStdMatrix(const StdMatrixKey &mkey)
Definition: StdExpansion.h:684
NekMatrix< InnerMatrixType, BlockMatrixTag > Transpose(NekMatrix< InnerMatrixType, BlockMatrixTag > &rhs)
LibUtilities::PointsKey m_nodalPointsKey
PointsType GetPointsType() const
Definition: Points.h:111
static VarCoeffMap NullVarCoeffMap
Definition: StdRegions.hpp:226
static ConstFactorMap NullConstFactorMap
Definition: StdRegions.hpp:249
void Nektar::StdRegions::StdNodalPrismExp::v_BwdTrans ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
protectedvirtual
Note
'r' (base[2]) runs fastest in this element.

Perform backwards transformation at the quadrature points:

$ u^{\delta} (\xi_{1i}, \xi_{2j}, \xi_{3k}) = \sum_{m(pqr)} \hat u_{pqr} \phi_{pqr} (\xi_{1i}, \xi_{2j}, \xi_{3k})$

In the prism this expansion becomes:

$ u (\xi_{1i}, \xi_{2j}, \xi_{3k}) = \sum_{p=0}^{Q_x} \psi_p^a (\xi_{1i}) \lbrace { \sum_{q=0}^{Q_y} \psi_{q}^a (\xi_{2j}) \lbrace { \sum_{r=0}^{Q_z} \hat u_{pqr} \psi_{pr}^b (\xi_{3k}) \rbrace} \rbrace}. $

And sumfactorizing step of the form is as:\

$ f_{pr} (\xi_{3k}) = \sum_{r=0}^{Q_z} \hat u_{pqr} \psi_{pr}^b (\xi_{3k}),\\ g_{p} (\xi_{2j}, \xi_{3k}) = \sum_{r=0}^{Q_y} \psi_{p}^a (\xi_{2j}) f_{pr} (\xi_{3k}),\ \ u(\xi_{1i}, \xi_{2j}, \xi_{3k}) = \sum_{p=0}^{Q_x} \psi_{p}^a (\xi_{1i}) g_{p} (\xi_{2j}, \xi_{3k}). $

Reimplemented from Nektar::StdRegions::StdPrismExp.

Definition at line 181 of file StdNodalPrismExp.cpp.

References v_BwdTrans_SumFac().

Referenced by v_FillMode().

184  {
185  v_BwdTrans_SumFac(inarray,outarray);
186  }
virtual void v_BwdTrans_SumFac(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
void Nektar::StdRegions::StdNodalPrismExp::v_BwdTrans_SumFac ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdPrismExp.

Definition at line 188 of file StdNodalPrismExp.cpp.

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

Referenced by v_BwdTrans().

191  {
192  Array<OneD, NekDouble> tmp(m_ncoeffs);
193  NodalToModal(inarray,tmp);
194  StdPrismExp::v_BwdTrans_SumFac(tmp,outarray);
195  }
virtual void v_BwdTrans_SumFac(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
void NodalToModal(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
DNekMatSharedPtr Nektar::StdRegions::StdNodalPrismExp::v_CreateStdMatrix ( const StdMatrixKey mkey)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdPrismExp.

Definition at line 408 of file StdNodalPrismExp.cpp.

References v_GenMatrix().

410  {
411  return StdNodalPrismExp::v_GenMatrix(mkey);
412  }
virtual DNekMatSharedPtr v_GenMatrix(const StdMatrixKey &mkey)
void Nektar::StdRegions::StdNodalPrismExp::v_FillMode ( const int  mode,
Array< OneD, NekDouble > &  outarray 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdPrismExp.

Definition at line 258 of file StdNodalPrismExp.cpp.

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

261  {
262  ASSERTL2(mode >= m_ncoeffs,
263  "calling argument mode is larger than total expansion order");
264 
265  Vmath::Zero(m_ncoeffs, outarray, 1);
266  outarray[mode] = 1.0;
267  v_BwdTrans(outarray,outarray);
268  }
virtual void v_BwdTrans(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
#define ASSERTL2(condition, msg)
Assert Level 2 – Debugging which is used FULLDEBUG compilation mode. This level assert is designed t...
Definition: ErrorUtil.hpp:213
void Zero(int n, T *x, const int incx)
Zero vector.
Definition: Vmath.cpp:359
void Nektar::StdRegions::StdNodalPrismExp::v_FwdTrans ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
protectedvirtual

Forward transform from physical quadrature space stored in inarray and evaluate the expansion coefficients and store in outarray.

Inputs:

  • inarray: array of physical quadrature points to be transformed

Outputs:

  • outarray: updated array of expansion coefficients.

Reimplemented from Nektar::StdRegions::StdPrismExp.

Definition at line 197 of file StdNodalPrismExp.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().

200  {
201  v_IProductWRTBase(inarray,outarray);
202 
203  // get Mass matrix inverse
204  StdMatrixKey masskey(eInvMass, DetShapeType(), *this,
207  DNekMatSharedPtr matsys = GetStdMatrix(masskey);
208 
209  // copy inarray in case inarray == outarray
210  NekVector<NekDouble> in(m_ncoeffs,outarray,eCopy);
211  NekVector<NekDouble> out(m_ncoeffs,outarray,eWrapper);
212 
213  out = (*matsys)*in;
214  }
LibUtilities::ShapeType DetShapeType() const
This function returns the shape of the expansion domain.
Definition: StdExpansion.h:454
boost::shared_ptr< DNekMat > DNekMatSharedPtr
Definition: NekTypeDefs.hpp:70
DNekMatSharedPtr GetStdMatrix(const StdMatrixKey &mkey)
Definition: StdExpansion.h:684
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*base1*base2 and put into out...
LibUtilities::PointsKey m_nodalPointsKey
PointsType GetPointsType() const
Definition: Points.h:111
static VarCoeffMap NullVarCoeffMap
Definition: StdRegions.hpp:226
static ConstFactorMap NullConstFactorMap
Definition: StdRegions.hpp:249
DNekMatSharedPtr Nektar::StdRegions::StdNodalPrismExp::v_GenMatrix ( const StdMatrixKey mkey)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdPrismExp.

Definition at line 391 of file StdNodalPrismExp.cpp.

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

Referenced by v_CreateStdMatrix().

392  {
393  DNekMatSharedPtr Mat;
394 
395  switch(mkey.GetMatrixType())
396  {
397  case eNBasisTrans:
398  Mat = GenNBasisTransMatrix();
399  break;
400  default:
402  break;
403  }
404 
405  return Mat;
406  }
boost::shared_ptr< DNekMat > DNekMatSharedPtr
Definition: NekTypeDefs.hpp:70
DNekMatSharedPtr CreateGeneralMatrix(const StdMatrixKey &mkey)
this function generates the mass matrix
void Nektar::StdRegions::StdNodalPrismExp::v_GetBoundaryMap ( Array< OneD, unsigned int > &  outarray)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdPrismExp.

Definition at line 351 of file StdNodalPrismExp.cpp.

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

353  {
354  unsigned int i;
355  const unsigned int nBndryCoeff = NumBndryCoeffs();
356 
357  if (outarray.num_elements() != nBndryCoeff)
358  {
359  outarray = Array<OneD, unsigned int>(nBndryCoeff);
360  }
361 
362  for (i = 0; i < nBndryCoeff; i++)
363  {
364  outarray[i] = i;
365  }
366  }
void Nektar::StdRegions::StdNodalPrismExp::v_GetInteriorMap ( Array< OneD, unsigned int > &  outarray)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdPrismExp.

Definition at line 368 of file StdNodalPrismExp.cpp.

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

370  {
371  unsigned int i;
372  const unsigned int nBndryCoeff = NumBndryCoeffs();
373 
374  if (outarray.num_elements() != m_ncoeffs-nBndryCoeff)
375  {
376  outarray = Array<OneD, unsigned int>(
377  m_ncoeffs-nBndryCoeff);
378  }
379 
380  for (i = nBndryCoeff; i < m_ncoeffs; i++)
381  {
382  outarray[i-nBndryCoeff] = i;
383  }
384  }
virtual const LibUtilities::PointsKey Nektar::StdRegions::StdNodalPrismExp::v_GetNodalPointsKey ( ) const
inlineprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 79 of file StdNodalPrismExp.h.

References m_nodalPointsKey.

80  {
81  return m_nodalPointsKey;
82  };
LibUtilities::PointsKey m_nodalPointsKey
int Nektar::StdRegions::StdNodalPrismExp::v_GetVertexMap ( const int  localVertexId,
bool  useCoeffPacking = false 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdPrismExp.

Definition at line 344 of file StdNodalPrismExp.cpp.

References ASSERTL0.

346  {
347  ASSERTL0(false,"Needs setting up");
348  return localVertexId;
349  }
#define ASSERTL0(condition, msg)
Definition: ErrorUtil.hpp:161
void Nektar::StdRegions::StdNodalPrismExp::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*base1*base2 and put into outarray:

$ \begin{array}{rcl} I_{pqr} = (\phi_{pqr}, u)_{\delta} & = & \sum_{i=0}^{nq_0} \sum_{j=0}^{nq_1} \sum_{k=0}^{nq_2} \psi_{p}^{a} (\bar \eta_{1i}) \psi_{q}^{a} (\xi_{2j}) \psi_{pr}^{b} (\xi_{3k}) w_i w_j w_k u(\bar \eta_{1,i} \xi_{2,j} \xi_{3,k}) J_{i,j,k}\\ & = & \sum_{i=0}^{nq_0} \psi_p^a(\bar \eta_{1,i}) \sum_{j=0}^{nq_1} \psi_{q}^a(\xi_{2,j}) \sum_{k=0}^{nq_2} \psi_{pr}^b u(\bar \eta_{1i},\xi_{2j},\xi_{3k}) J_{i,j,k} \end{array} $
where

$ \phi_{pqr} (\xi_1 , \xi_2 , \xi_3) = \psi_p^a (\bar \eta_1) \psi_{q}^a (\xi_2) \psi_{pr}^b (\xi_3) $
which can be implemented as
$f_{pr} (\xi_{3k}) = \sum_{k=0}^{nq_3} \psi_{pr}^b u(\bar \eta_{1i},\xi_{2j},\xi_{3k}) J_{i,j,k} = {\bf B_3 U} $
$ g_{q} (\xi_{3k}) = \sum_{j=0}^{nq_1} \psi_{q}^a (\xi_{2j}) f_{pr} (\xi_{3k}) = {\bf B_2 F} $
$ (\phi_{pqr}, u)_{\delta} = \sum_{k=0}^{nq_0} \psi_{p}^a (\xi_{3k}) g_{q} (\xi_{3k}) = {\bf B_1 G} $

Reimplemented from Nektar::StdRegions::StdPrismExp.

Definition at line 221 of file StdNodalPrismExp.cpp.

References v_IProductWRTBase_SumFac().

Referenced by v_FwdTrans().

224  {
225  v_IProductWRTBase_SumFac(inarray,outarray);
226  }
virtual void v_IProductWRTBase_SumFac(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool mult=true)
void Nektar::StdRegions::StdNodalPrismExp::v_IProductWRTBase_SumFac ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray,
bool  mult = true 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdPrismExp.

Definition at line 228 of file StdNodalPrismExp.cpp.

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

Referenced by v_IProductWRTBase().

232  {
233  StdPrismExp::v_IProductWRTBase_SumFac(inarray,outarray,multiplybyweights);
234  NodalToModalTranspose(outarray,outarray);
235  }
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)
void Nektar::StdRegions::StdNodalPrismExp::v_IProductWRTDerivBase ( const int  dir,
const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
protectedvirtual

Inner product of inarray over region with respect to the object's default expansion basis; output in outarray.

Reimplemented from Nektar::StdRegions::StdPrismExp.

Definition at line 237 of file StdNodalPrismExp.cpp.

References v_IProductWRTDerivBase_SumFac().

241  {
242  v_IProductWRTDerivBase_SumFac(dir,inarray,outarray);
243  }
virtual void v_IProductWRTDerivBase_SumFac(const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
void Nektar::StdRegions::StdNodalPrismExp::v_IProductWRTDerivBase_SumFac ( const int  dir,
const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdPrismExp.

Definition at line 245 of file StdNodalPrismExp.cpp.

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

Referenced by v_IProductWRTDerivBase().

249  {
250  StdPrismExp::v_IProductWRTDerivBase_SumFac(dir,inarray,outarray);
251  NodalToModalTranspose(outarray,outarray);
252  }
void NodalToModalTranspose(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)
bool Nektar::StdRegions::StdNodalPrismExp::v_IsNodalNonTensorialExp ( )
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 80 of file StdNodalPrismExp.cpp.

81  {
82  return true;
83  }

Member Data Documentation

LibUtilities::PointsKey Nektar::StdRegions::StdNodalPrismExp::m_nodalPointsKey
protected