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Nektar::StdRegions::StdNodalPrismExp Class Reference

#include <StdNodalPrismExp.h>

Inheritance diagram for Nektar::StdRegions::StdNodalPrismExp:
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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)
 
int GetNedges () const
 return the number of edges in 3D expansion More...
 
int GetEdgeNcoeffs (const int i) const
 This function returns the number of expansion coefficients belonging to the i-th edge. More...
 
void GetEdgeInteriorToElementMap (const int tid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, Orientation traceOrient=eForwards)
 
- 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 GetTraceNcoeffs (const int i) const
 This function returns the number of expansion coefficients belonging to the i-th trace. More...
 
int GetTraceIntNcoeffs (const int i) const
 
int GetTraceNumPoints (const int i) const
 This function returns the number of quadrature points belonging to the i-th trace. More...
 
const LibUtilities::BasisKey GetTraceBasisKey (const int i, int k=-1) const
 This function returns the basis key belonging to the i-th trace. More...
 
LibUtilities::PointsKey GetTracePointsKey (const int i, int k=-1) const
 This function returns the basis key belonging to the i-th trace. More...
 
int NumBndryCoeffs (void) const
 
int NumDGBndryCoeffs (void) const
 
const LibUtilities::PointsKey GetNodalPointsKey () const
 This function returns the type of expansion Nodal point type if defined. More...
 
int GetNtraces () 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...
 
std::shared_ptr< StdExpansionGetStdExp (void) const
 
std::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)
 
void IProductWRTDirectionalDerivBase (const Array< OneD, const NekDouble > &direction, 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)
 
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)
 
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 GetTraceToElementMap (const int tid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, Orientation traceOrient=eForwards, int P=-1, int Q=-1)
 
void GetTraceInteriorToElementMap (const int tid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, const Orientation traceOrient=eForwards)
 
void GetTraceNumModes (const int tid, int &numModes0, int &numModes1, const Orientation traceOrient=eDir1FwdDir1_Dir2FwdDir2)
 
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 ExponentialFilter (Array< OneD, NekDouble > &array, const NekDouble alpha, const NekDouble exponent, const NekDouble cutoff)
 
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)
 
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...
 
NekDouble PhysEvaluateBasis (const Array< OneD, const NekDouble > &coords, int mode)
 This function evaluates the basis function mode mode at a point coords 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...
 
void LocCollapsedToLocCoord (const Array< OneD, const NekDouble > &eta, Array< OneD, NekDouble > &xi)
 Convert local collapsed coordinates eta into local cartesian coordinate xi. More...
 
virtual void v_NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, Array< OneD, NekDouble > &outarray)
 
virtual void v_NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, Array< OneD, NekDouble > &outarray)
 
virtual void v_NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, const Array< OneD, const NekDouble > &Fz, Array< OneD, NekDouble > &outarray)
 
virtual void v_NormVectorIProductWRTBase (const Array< OneD, const Array< OneD, NekDouble > > &Fvec, Array< OneD, NekDouble > &outarray)
 
virtual DNekScalBlkMatSharedPtr v_GetLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey)
 
virtual void v_DropLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey)
 
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 LibUtilities::PointsKeyVector GetPointsKeys () const
 
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 >
std::shared_ptr< T > as ()
 
void IProductWRTBase_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool multiplybyweights=true)
 
void GenStdMatBwdDeriv (const int dir, DNekMatSharedPtr &mat)
 

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_LocCollapsedToLocCoord (const Array< OneD, const NekDouble > &eta, Array< OneD, NekDouble > &xi)
 
virtual void v_GetCoords (Array< OneD, NekDouble > &xi_x, Array< OneD, NekDouble > &xi_y, Array< OneD, NekDouble > &xi_z)
 
NekDouble v_PhysEvaluateBasis (const Array< OneD, const NekDouble > &coords, int mode) final
 
virtual void v_GetTraceNumModes (const int fid, int &numModes0, int &numModes1, Orientation faceOrient=eDir1FwdDir1_Dir2FwdDir2)
 
virtual int v_GetNverts () const
 
virtual int v_GetNedges () const
 
virtual int v_GetNtraces () 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_GetTraceNcoeffs (const int i) const
 
virtual int v_GetTotalTraceIntNcoeffs () const
 
virtual int v_GetTraceIntNcoeffs (const int i) const
 
virtual int v_GetTraceNumPoints (const int i) const
 
virtual int v_GetEdgeNcoeffs (const int i) const
 
virtual const LibUtilities::BasisKey v_GetTraceBasisKey (const int i, const int k) const
 
virtual LibUtilities::PointsKey v_GetTracePointsKey (const int i, const int j) const
 
virtual int v_CalcNumberOfCoefficients (const std::vector< unsigned int > &nummodes, int &modes_offset)
 
virtual bool v_IsBoundaryInteriorExpansion ()
 
virtual void v_GetTraceToElementMap (const int fid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, Orientation faceOrient, int P, int Q)
 
virtual void v_GetEdgeInteriorToElementMap (const int tid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, const Orientation traceOrient=eDir1FwdDir1_Dir2FwdDir2)
 
virtual void v_GetTraceInteriorToElementMap (const int tid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, const Orientation traceOrient=eDir1FwdDir1_Dir2FwdDir2)
 
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_GenStdMatBwdDeriv (const int dir, DNekMatSharedPtr &mat)
 
- 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...
 
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 IProductWRTDirectionalDerivBase_SumFac (const Array< OneD, const NekDouble > &direction, 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)
 
template<int DIR>
NekDouble BaryEvaluate (const NekDouble &coord, const NekDouble *physvals)
 This function performs the barycentric interpolation of the polynomial stored in coord at a point physvals using barycentric interpolation weights in direction. More...
 
template<int DIR>
NekDouble BaryEvaluateBasis (const NekDouble &coord, const int &mode)
 

Protected Attributes

LibUtilities::PointsKey m_nodalPointsKey
 
- 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
 

Detailed Description

Definition at line 45 of file StdNodalPrismExp.h.

Constructor & Destructor Documentation

◆ StdNodalPrismExp() [1/3]

Nektar::StdRegions::StdNodalPrismExp::StdNodalPrismExp ( )

◆ StdNodalPrismExp() [2/3]

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

Definition at line 44 of file StdNodalPrismExp.cpp.

48  :
50  Ba.GetNumModes(),
51  Bb.GetNumModes(),
52  Bc.GetNumModes()),
53  3,Ba,Bb,Bc),
55  Ba.GetNumModes(),
56  Bb.GetNumModes(),
57  Bc.GetNumModes()),
58  Ba,Bb,Bc),
59  StdPrismExp (Ba,Bb,Bc),
60  m_nodalPointsKey(Ba.GetNumModes(),Ntype)
61  {
62  ASSERTL0(Ba.GetNumModes() <= Bc.GetNumModes(),
63  "order in 'a' direction is higher than order "
64  "in 'c' direction");
65  }
#define ASSERTL0(condition, msg)
Definition: ErrorUtil.hpp:216
StdExpansion()
Default Constructor.
LibUtilities::PointsKey m_nodalPointsKey
int getNumberOfCoefficients(int Na, int Nb, int Nc)
Definition: ShapeType.hpp:287

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

◆ StdNodalPrismExp() [3/3]

Nektar::StdRegions::StdNodalPrismExp::StdNodalPrismExp ( const StdNodalPrismExp T)

Definition at line 67 of file StdNodalPrismExp.cpp.

67  :
68  StdExpansion(T),
69  StdExpansion3D(T),
70  StdPrismExp(T),
71  m_nodalPointsKey(T.m_nodalPointsKey)
72  {
73  }

◆ ~StdNodalPrismExp()

Nektar::StdRegions::StdNodalPrismExp::~StdNodalPrismExp ( )

Definition at line 75 of file StdNodalPrismExp.cpp.

76  {
77  }

Member Function Documentation

◆ GenNBasisTransMatrix()

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

Definition at line 143 of file StdNodalPrismExp.cpp.

144  {
145  int i,j;
146  Array<OneD, const NekDouble> r, s, t;
147  Array<OneD, NekDouble> c(3);
148  DNekMatSharedPtr Mat;
149 
152  GetNodalPoints(r,s,t);
153 
154  //Store the values of m_phys in a temporary array
155  int nqtot = GetTotPoints();
156  Array<OneD,NekDouble> tmp_phys(nqtot);
157 
158  for(i = 0; i < m_ncoeffs; ++i)
159  {
160  // fill physical space with mode i
161  StdPrismExp::v_FillMode(i,tmp_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  c[2] = t[j];
170  (*Mat)(j,i) = StdPrismExp::v_PhysEvaluate(c,tmp_phys);
171  }
172  }
173 
174  return Mat;
175  }
static std::shared_ptr< DataType > AllocateSharedPtr(const Args &...args)
Allocate a shared pointer from the memory pool.
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.
int GetTotPoints() const
This function returns the total number of quadrature points used in the element.
Definition: StdExpansion.h:134
void GetNodalPoints(Array< OneD, const NekDouble > &x, Array< OneD, const NekDouble > &y, Array< OneD, const NekDouble > &z)
virtual void v_FillMode(const int mode, Array< OneD, NekDouble > &outarray)
std::shared_ptr< DNekMat > DNekMatSharedPtr
Definition: NekTypeDefs.hpp:69

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().

◆ GetNodalPoints()

void Nektar::StdRegions::StdNodalPrismExp::GetNodalPoints ( Array< OneD, const NekDouble > &  x,
Array< OneD, const NekDouble > &  y,
Array< OneD, const NekDouble > &  z 
)

Definition at line 134 of file StdNodalPrismExp.cpp.

138  {
139  // Get 3D nodal distribution.
140  LibUtilities::PointsManager()[m_nodalPointsKey]->GetPoints(x,y,z);
141  }
PointsManagerT & PointsManager(void)

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

Referenced by GenNBasisTransMatrix().

◆ ModalToNodal()

void Nektar::StdRegions::StdNodalPrismExp::ModalToNodal ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)

Definition at line 119 of file StdNodalPrismExp.cpp.

122  {
123  StdMatrixKey Nkey(eNBasisTrans, DetShapeType(), *this,
126  DNekMatSharedPtr vdm = GetStdMatrix(Nkey);
127 
128  // Multiply out matrix
129  NekVector<NekDouble> modal(m_ncoeffs,inarray,eWrapper);
130  NekVector<NekDouble> nodal(m_ncoeffs,outarray,eWrapper);
131  nodal = (*vdm)*modal;
132  }
PointsType GetPointsType() const
Definition: Points.h:112
DNekMatSharedPtr GetStdMatrix(const StdMatrixKey &mkey)
Definition: StdExpansion.h:617
LibUtilities::ShapeType DetShapeType() const
This function returns the shape of the expansion domain.
Definition: StdExpansion.h:376
static ConstFactorMap NullConstFactorMap
Definition: StdRegions.hpp:315
static VarCoeffMap NullVarCoeffMap
Definition: StdRegions.hpp:273

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.

◆ NodalToModal()

void Nektar::StdRegions::StdNodalPrismExp::NodalToModal ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)

◆ NodalToModalTranspose()

void Nektar::StdRegions::StdNodalPrismExp::NodalToModalTranspose ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)

Definition at line 105 of file StdNodalPrismExp.cpp.

108  {
109  StdMatrixKey Nkey(eInvNBasisTrans, DetShapeType(), *this,
112  DNekMatSharedPtr inv_vdm = GetStdMatrix(Nkey);
113 
114  NekVector<NekDouble> nodal(m_ncoeffs,inarray,eCopy);
115  NekVector<NekDouble> modal(m_ncoeffs,outarray,eWrapper);
116  modal = Transpose(*inv_vdm) * nodal;
117  }
NekMatrix< InnerMatrixType, BlockMatrixTag > Transpose(NekMatrix< InnerMatrixType, BlockMatrixTag > &rhs)

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().

◆ v_BwdTrans()

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 182 of file StdNodalPrismExp.cpp.

185  {
186  v_BwdTrans_SumFac(inarray,outarray);
187  }
virtual void v_BwdTrans_SumFac(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

References v_BwdTrans_SumFac().

Referenced by v_FillMode().

◆ v_BwdTrans_SumFac()

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 189 of file StdNodalPrismExp.cpp.

192  {
193  Array<OneD, NekDouble> tmp(m_ncoeffs);
194  NodalToModal(inarray,tmp);
195  StdPrismExp::v_BwdTrans_SumFac(tmp,outarray);
196  }
void NodalToModal(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)

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

Referenced by v_BwdTrans().

◆ v_CreateStdMatrix()

DNekMatSharedPtr Nektar::StdRegions::StdNodalPrismExp::v_CreateStdMatrix ( const StdMatrixKey mkey)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdPrismExp.

Definition at line 410 of file StdNodalPrismExp.cpp.

412  {
413  return StdNodalPrismExp::v_GenMatrix(mkey);
414  }
virtual DNekMatSharedPtr v_GenMatrix(const StdMatrixKey &mkey)

References v_GenMatrix().

◆ v_FillMode()

void Nektar::StdRegions::StdNodalPrismExp::v_FillMode ( const int  mode,
Array< OneD, NekDouble > &  outarray 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdPrismExp.

Definition at line 259 of file StdNodalPrismExp.cpp.

262  {
263  ASSERTL2(mode >= m_ncoeffs,
264  "calling argument mode is larger than total expansion order");
265 
266  Vmath::Zero(m_ncoeffs, outarray, 1);
267  outarray[mode] = 1.0;
268  v_BwdTrans(outarray,outarray);
269  }
#define ASSERTL2(condition, msg)
Assert Level 2 – Debugging which is used FULLDEBUG compilation mode. This level assert is designed to...
Definition: ErrorUtil.hpp:274
virtual void v_BwdTrans(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
void Zero(int n, T *x, const int incx)
Zero vector.
Definition: Vmath.cpp:436

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

◆ v_FwdTrans()

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 198 of file StdNodalPrismExp.cpp.

201  {
202  v_IProductWRTBase(inarray,outarray);
203 
204  // get Mass matrix inverse
205  StdMatrixKey masskey(eInvMass, DetShapeType(), *this,
208  DNekMatSharedPtr matsys = GetStdMatrix(masskey);
209 
210  // copy inarray in case inarray == outarray
211  NekVector<NekDouble> in(m_ncoeffs,outarray,eCopy);
212  NekVector<NekDouble> out(m_ncoeffs,outarray,eWrapper);
213 
214  out = (*matsys)*in;
215  }
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...

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().

◆ v_GenMatrix()

DNekMatSharedPtr Nektar::StdRegions::StdNodalPrismExp::v_GenMatrix ( const StdMatrixKey mkey)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdPrismExp.

Definition at line 393 of file StdNodalPrismExp.cpp.

394  {
395  DNekMatSharedPtr Mat;
396 
397  switch(mkey.GetMatrixType())
398  {
399  case eNBasisTrans:
400  Mat = GenNBasisTransMatrix();
401  break;
402  default:
404  break;
405  }
406 
407  return Mat;
408  }
DNekMatSharedPtr CreateGeneralMatrix(const StdMatrixKey &mkey)
this function generates the mass matrix

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

Referenced by v_CreateStdMatrix().

◆ v_GetBoundaryMap()

void Nektar::StdRegions::StdNodalPrismExp::v_GetBoundaryMap ( Array< OneD, unsigned int > &  outarray)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdPrismExp.

Definition at line 353 of file StdNodalPrismExp.cpp.

355  {
356  unsigned int i;
357  const unsigned int nBndryCoeff = NumBndryCoeffs();
358 
359  if (outarray.size() != nBndryCoeff)
360  {
361  outarray = Array<OneD, unsigned int>(nBndryCoeff);
362  }
363 
364  for (i = 0; i < nBndryCoeff; i++)
365  {
366  outarray[i] = i;
367  }
368  }

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

◆ v_GetInteriorMap()

void Nektar::StdRegions::StdNodalPrismExp::v_GetInteriorMap ( Array< OneD, unsigned int > &  outarray)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdPrismExp.

Definition at line 370 of file StdNodalPrismExp.cpp.

372  {
373  unsigned int i;
374  const unsigned int nBndryCoeff = NumBndryCoeffs();
375 
376  if (outarray.size() != m_ncoeffs-nBndryCoeff)
377  {
378  outarray = Array<OneD, unsigned int>(
379  m_ncoeffs-nBndryCoeff);
380  }
381 
382  for (i = nBndryCoeff; i < m_ncoeffs; i++)
383  {
384  outarray[i-nBndryCoeff] = i;
385  }
386  }

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

◆ v_GetNodalPointsKey()

virtual const LibUtilities::PointsKey Nektar::StdRegions::StdNodalPrismExp::v_GetNodalPointsKey ( ) const
inlineprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 78 of file StdNodalPrismExp.h.

79  {
80  return m_nodalPointsKey;
81  };

References m_nodalPointsKey.

◆ v_GetVertexMap()

int Nektar::StdRegions::StdNodalPrismExp::v_GetVertexMap ( const int  localVertexId,
bool  useCoeffPacking = false 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdPrismExp.

Definition at line 345 of file StdNodalPrismExp.cpp.

347  {
348  boost::ignore_unused(useCoeffPacking);
349  ASSERTL0(false,"Needs setting up");
350  return localVertexId;
351  }

References ASSERTL0.

◆ v_IProductWRTBase()

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 222 of file StdNodalPrismExp.cpp.

225  {
226  v_IProductWRTBase_SumFac(inarray,outarray);
227  }
virtual void v_IProductWRTBase_SumFac(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool mult=true)

References v_IProductWRTBase_SumFac().

Referenced by v_FwdTrans().

◆ v_IProductWRTBase_SumFac()

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 229 of file StdNodalPrismExp.cpp.

233  {
234  StdPrismExp::v_IProductWRTBase_SumFac(inarray,outarray,multiplybyweights);
235  NodalToModalTranspose(outarray,outarray);
236  }
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)

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

Referenced by v_IProductWRTBase().

◆ v_IProductWRTDerivBase()

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 238 of file StdNodalPrismExp.cpp.

242  {
243  v_IProductWRTDerivBase_SumFac(dir,inarray,outarray);
244  }
virtual void v_IProductWRTDerivBase_SumFac(const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

References v_IProductWRTDerivBase_SumFac().

◆ v_IProductWRTDerivBase_SumFac()

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 246 of file StdNodalPrismExp.cpp.

250  {
251  StdPrismExp::v_IProductWRTDerivBase_SumFac(dir,inarray,outarray);
252  NodalToModalTranspose(outarray,outarray);
253  }
virtual void v_IProductWRTDerivBase_SumFac(const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

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

Referenced by v_IProductWRTDerivBase().

◆ v_IsNodalNonTensorialExp()

bool Nektar::StdRegions::StdNodalPrismExp::v_IsNodalNonTensorialExp ( )
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 81 of file StdNodalPrismExp.cpp.

82  {
83  return true;
84  }

Member Data Documentation

◆ m_nodalPointsKey

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