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Nektar::StdRegions::StdPrismExp Class Reference

Class representing a prismatic element in reference space. More...

#include <StdPrismExp.h>

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

 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)=default
 
 ~StdPrismExp () override=default
 
- Public Member Functions inherited from Nektar::StdRegions::StdExpansion3D
 StdExpansion3D (int numcoeffs, const LibUtilities::BasisKey &Ba, const LibUtilities::BasisKey &Bb, const LibUtilities::BasisKey &Bc)
 
 StdExpansion3D ()=default
 
 StdExpansion3D (const StdExpansion3D &T)=default
 
 ~StdExpansion3D () override=default
 
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::BasisSharedPtr & GetBasis (int dir) const
 This function gets the shared point to basis in the dir direction. More...
 
int GetNcoeffs (void) const
 This function returns the total number of coefficients used in the expansion. More...
 
int GetTotPoints () const
 This function returns the total number of quadrature points used in the element. More...
 
LibUtilities::BasisType GetBasisType (const int dir) const
 This function returns the type of basis used in the dir direction. More...
 
int GetBasisNumModes (const int dir) const
 This function returns the number of expansion modes in the dir direction. More...
 
int EvalBasisNumModesMax (void) const
 This function returns the maximum number of expansion modes over all local directions. More...
 
LibUtilities::PointsType GetPointsType (const int dir) const
 This function returns the type of quadrature points used in the dir direction. More...
 
int GetNumPoints (const int dir) const
 This function returns the number of quadrature points in the dir direction. More...
 
const Array< OneD, const NekDouble > & GetPoints (const int dir) const
 This function returns a pointer to the array containing the quadrature points in dir direction. More...
 
int GetNverts () const
 This function returns the number of vertices of the expansion domain. More...
 
int 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, bool UseGLL=false) 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< StdExpansion > GetStdExp () const
 
std::shared_ptr< StdExpansion > GetLinStdExp (void) const
 
int GetShapeDimension () const
 
bool IsBoundaryInteriorExpansion () const
 
bool IsNodalNonTensorialExp ()
 
void NodalToModal (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
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 FwdTransBndConstrained (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 GetTraceCoeffMap (const unsigned int traceid, Array< OneD, unsigned int > &maparray)
 
void GetElmtTraceToTraceMap (const unsigned 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 LinearAdvectionMatrixOp (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, NekDouble > &coord, const Array< OneD, const NekDouble > &inarray, std::array< NekDouble, 3 > &firstOrderDerivs)
 This function evaluates the first derivative of the expansion at a single (arbitrary) point of the domain. More...
 
NekDouble PhysEvaluate (const Array< OneD, NekDouble > &coord, const Array< OneD, const NekDouble > &inarray, std::array< NekDouble, 3 > &firstOrderDerivs, std::array< NekDouble, 6 > &secondOrderDerivs)
 
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...
 
void PhysInterp (std::shared_ptr< StdExpansion > fromExp, const Array< OneD, const NekDouble > &fromData, Array< OneD, NekDouble > &toData)
 interpolate from one set of quadrature points available from FromExp to the set of quadrature points in the current expansion. If the points are the same this routine will just copy the data More...
 
virtual int v_CalcNumberOfCoefficients (const std::vector< unsigned int > &nummodes, int &modes_offset)
 
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

void v_PhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1, Array< OneD, NekDouble > &out_d2) override
 Calculate the derivative of the physical points. More...
 
void v_PhysDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override
 Calculate the derivative of the physical points in a given direction. More...
 
void v_StdPhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1, Array< OneD, NekDouble > &out_d2) override
 
void v_StdPhysDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override
 
void v_BwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override
 
void v_BwdTrans_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override
 
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) override
 
void v_FwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override
 Forward transform from physical quadrature space stored in inarray and evaluate the expansion coefficients and store in outarray. More...
 
void v_IProductWRTBase (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override
 Calculate the inner product of inarray with respect to the basis B=base0*base1*base2 and put into outarray: More...
 
void v_IProductWRTBase_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool multiplybyweights=true) override
 
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) override
 
void v_IProductWRTDerivBase (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override
 Inner product of inarray over region with respect to the object's default expansion basis; output in outarray. More...
 
void v_IProductWRTDerivBase_SumFac (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override
 
void v_LocCoordToLocCollapsed (const Array< OneD, const NekDouble > &xi, Array< OneD, NekDouble > &eta) override
 
void v_LocCollapsedToLocCoord (const Array< OneD, const NekDouble > &eta, Array< OneD, NekDouble > &xi) override
 
void v_GetCoords (Array< OneD, NekDouble > &xi_x, Array< OneD, NekDouble > &xi_y, Array< OneD, NekDouble > &xi_z) override
 
void v_FillMode (const int mode, Array< OneD, NekDouble > &outarray) override
 
NekDouble v_PhysEvaluateBasis (const Array< OneD, const NekDouble > &coords, int mode) final
 
void v_GetTraceNumModes (const int fid, int &numModes0, int &numModes1, Orientation faceOrient=eDir1FwdDir1_Dir2FwdDir2) override
 
NekDouble v_PhysEvalFirstDeriv (const Array< OneD, NekDouble > &coord, const Array< OneD, const NekDouble > &inarray, std::array< NekDouble, 3 > &firstOrderDerivs) override
 
int v_GetNverts () const override
 
int v_GetNedges () const override
 
int v_GetNtraces () const override
 
LibUtilities::ShapeType v_DetShapeType () const override
 Return Shape of region, using ShapeType enum list; i.e. prism. More...
 
int v_NumBndryCoeffs () const override
 
int v_NumDGBndryCoeffs () const override
 
int v_GetTraceNcoeffs (const int i) const override
 
int v_GetTraceIntNcoeffs (const int i) const override
 
int v_GetTraceNumPoints (const int i) const override
 
int v_GetEdgeNcoeffs (const int i) const override
 
const LibUtilities::BasisKey v_GetTraceBasisKey (const int i, const int k, bool UseGLL=false) const override
 
LibUtilities::PointsKey v_GetTracePointsKey (const int i, const int j) const override
 
int v_CalcNumberOfCoefficients (const std::vector< unsigned int > &nummodes, int &modes_offset) override
 
bool v_IsBoundaryInteriorExpansion () const override
 
int v_GetVertexMap (int localVertexId, bool useCoeffPacking=false) override
 
void v_GetInteriorMap (Array< OneD, unsigned int > &outarray) override
 
void v_GetBoundaryMap (Array< OneD, unsigned int > &outarray) override
 
void v_GetTraceCoeffMap (const unsigned int fid, Array< OneD, unsigned int > &maparray) override
 
void v_GetElmtTraceToTraceMap (const unsigned int fid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, Orientation faceOrient, int P, int Q) override
 
void v_GetEdgeInteriorToElementMap (const int tid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, const Orientation traceOrient=eDir1FwdDir1_Dir2FwdDir2) override
 
void v_GetTraceInteriorToElementMap (const int tid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, const Orientation traceOrient=eDir1FwdDir1_Dir2FwdDir2) override
 
DNekMatSharedPtr v_GenMatrix (const StdMatrixKey &mkey) override
 
DNekMatSharedPtr v_CreateStdMatrix (const StdMatrixKey &mkey) override
 
void v_MultiplyByStdQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override
 
void v_SVVLaplacianFilter (Array< OneD, NekDouble > &array, const StdMatrixKey &mkey) override
 
void v_ReduceOrderCoeffs (int numMin, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override
 
- Protected Member Functions inherited from Nektar::StdRegions::StdExpansion3D
NekDouble v_PhysEvaluate (const Array< OneD, const NekDouble > &coords, const Array< OneD, const NekDouble > &physvals) override
 This function evaluates the expansion at a single (arbitrary) point of the domain. More...
 
NekDouble v_PhysEvaluateInterp (const Array< OneD, DNekMatSharedPtr > &I, const Array< OneD, const NekDouble > &physvals) override
 
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)=0
 
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)=0
 
void v_LaplacianMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey) override
 
void v_HelmholtzMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey) override
 
NekDouble v_Integral (const Array< OneD, const NekDouble > &inarray) override
 Integrates the specified function over the domain. More...
 
virtual int v_GetNedges (void) const
 
virtual int v_GetEdgeNcoeffs (const int i) const
 
NekDouble BaryTensorDeriv (const Array< OneD, NekDouble > &coord, const Array< OneD, const NekDouble > &inarray, std::array< NekDouble, 3 > &firstOrderDerivs)
 
virtual void v_GetEdgeInteriorToElementMap (const int tid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, Orientation traceOrient=eForwards)
 
void v_GetTraceToElementMap (const int tid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, Orientation traceOrient, int P, int Q) override
 
void v_GenStdMatBwdDeriv (const int dir, DNekMatSharedPtr &mat) override
 
void v_PhysInterp (std::shared_ptr< StdExpansion > fromExp, const Array< OneD, const NekDouble > &fromData, Array< OneD, NekDouble > &toData) override
 
- 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_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 LinearAdvectionMatrixOp_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 NekDouble v_StdPhysEvaluate (const Array< OneD, const NekDouble > &Lcoord, const Array< OneD, const NekDouble > &physvals)
 
virtual void v_GenStdMatBwdDeriv (const int dir, DNekMatSharedPtr &mat)
 
virtual void v_MultiplyByStdQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
template<int DIR, bool DERIV = false, bool DERIV2 = false>
NekDouble BaryEvaluate (const NekDouble &coord, const NekDouble *physvals, NekDouble &deriv, NekDouble &deriv2)
 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)
 
template<int DIR, bool DERIV = false, bool DERIV2 = false>
NekDouble BaryEvaluate (const NekDouble &coord, const NekDouble *physvals)
 Helper function to pass an unused value by reference into BaryEvaluate. More...
 
template<int DIR, bool DERIV = false, bool DERIV2 = false>
NekDouble BaryEvaluate (const NekDouble &coord, const NekDouble *physvals, NekDouble &deriv)
 

Private Member Functions

int GetMode (int I, int J, int K)
 Compute the local mode number in the expansion for a particular tensorial combination. More...
 

Additional Inherited Members

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

Detailed Description

Class representing a prismatic element in reference space.

Definition at line 44 of file StdPrismExp.h.

Constructor & Destructor Documentation

◆ StdPrismExp() [1/3]

Nektar::StdRegions::StdPrismExp::StdPrismExp ( const LibUtilities::BasisKey &  Ba,
const LibUtilities::BasisKey &  Bb,
const LibUtilities::BasisKey &  Bc 
)

Definition at line 43 of file StdPrismExp.cpp.

46 : StdExpansion(LibUtilities::StdPrismData::getNumberOfCoefficients(
47 Ba.GetNumModes(), Bb.GetNumModes(), Bc.GetNumModes()),
48 3, Ba, Bb, Bc),
49 StdExpansion3D(LibUtilities::StdPrismData::getNumberOfCoefficients(
50 Ba.GetNumModes(), Bb.GetNumModes(), Bc.GetNumModes()),
51 Ba, Bb, Bc)
52{
53 ASSERTL0(Ba.GetNumModes() <= Bc.GetNumModes(),
54 "order in 'a' direction is higher than order in 'c' direction");
55}
ASSERTL0
#define ASSERTL0(condition, msg)
Definition: ErrorUtil.hpp:208
Nektar::StdRegions::StdExpansion::StdExpansion
StdExpansion()
Default Constructor.
Definition: StdExpansion.cpp:42
Nektar::LibUtilities::StdPrismData::getNumberOfCoefficients
int getNumberOfCoefficients(int Na, int Nb, int Nc)
Definition: ShapeType.hpp:279

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

◆ StdPrismExp() [2/3]

Nektar::StdRegions::StdPrismExp::StdPrismExp ( const LibUtilities::BasisKey &  Ba,
const LibUtilities::BasisKey &  Bb,
const LibUtilities::BasisKey &  Bc,
NekDouble *  coeffs,
NekDouble *  phys 
)

◆ StdPrismExp() [3/3]

Nektar::StdRegions::StdPrismExp::StdPrismExp ( const StdPrismExp &  T)
default

◆ ~StdPrismExp()

Nektar::StdRegions::StdPrismExp::~StdPrismExp ( )
overridedefault

Member Function Documentation

◆ GetMode()

int Nektar::StdRegions::StdPrismExp::GetMode ( int  p,
int  q,
int  r 
)
private

Compute the local mode number in the expansion for a particular tensorial combination.

Modes are numbered with the r index travelling fastest, followed by q and then p, and each q-r plane is of size (R+1-p). For example, with P=1, Q=2, R=3, the indexing inside each q-r plane (with r increasing upwards and q to the right) is:

p = 0: p = 1:

3 7 11 2 6 10 14 17 20 1 5 9 13 16 19 0 4 8 12 15 18

Note that in this element, we must have that \( P <= R \).

Definition at line 1938 of file StdPrismExp.cpp.

1939{
1940 int Q = m_base[1]->GetNumModes() - 1;
1941 int R = m_base[2]->GetNumModes() - 1;
1942
1943 return r + // Skip along stacks (r-direction)
1944 q * (R + 1 - p) + // Skip along columns (q-direction)
1945 (Q + 1) * (p * R + 1 -
1946 (p - 2) * (p - 1) / 2); // Skip along rows (p-direction)
1947}
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1193
CellMLToNektar.cellml_metadata.p
p
Definition: cellml_metadata.py:350
Nektar::UnitTests::q
std::vector< double > q(NPUPPER *NPUPPER)

References Nektar::StdRegions::StdExpansion::m_base, CellMLToNektar.cellml_metadata::p, and Nektar::UnitTests::q().

Referenced by v_GetBoundaryMap(), v_GetEdgeInteriorToElementMap(), v_GetInteriorMap(), v_GetTraceCoeffMap(), v_GetTraceInteriorToElementMap(), v_GetVertexMap(), and v_IProductWRTBase_SumFacKernel().

◆ v_BwdTrans()

void Nektar::StdRegions::StdPrismExp::v_BwdTrans ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
overrideprotectedvirtual
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:\

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

Implements Nektar::StdRegions::StdExpansion.

Definition at line 220 of file StdPrismExp.cpp.

222{
223 ASSERTL1((m_base[1]->GetBasisType() != LibUtilities::eOrtho_B) ||
224 (m_base[1]->GetBasisType() != LibUtilities::eModified_B),
225 "Basis[1] is not a general tensor type");
226
227 ASSERTL1((m_base[2]->GetBasisType() != LibUtilities::eOrtho_C) ||
228 (m_base[2]->GetBasisType() != LibUtilities::eModified_C),
229 "Basis[2] is not a general tensor type");
230
231 if (m_base[0]->Collocation() && m_base[1]->Collocation() &&
232 m_base[2]->Collocation())
233 {
234 Vmath::Vcopy(m_base[0]->GetNumPoints() * m_base[1]->GetNumPoints() *
235 m_base[2]->GetNumPoints(),
236 inarray, 1, outarray, 1);
237 }
238 else
239 {
240 StdPrismExp::v_BwdTrans_SumFac(inarray, outarray);
241 }
242}
ASSERTL1
#define ASSERTL1(condition, msg)
Assert Level 1 – Debugging which is used whether in FULLDEBUG or DEBUG compilation mode....
Definition: ErrorUtil.hpp:242
Nektar::StdRegions::StdExpansion::GetBasisType
LibUtilities::BasisType GetBasisType(const int dir) const
This function returns the type of basis used in the dir direction.
Definition: StdExpansion.h:156
Nektar::StdRegions::StdExpansion::GetNumPoints
int GetNumPoints(const int dir) const
This function returns the number of quadrature points in the dir direction.
Definition: StdExpansion.h:218
Nektar::StdRegions::StdPrismExp::v_BwdTrans_SumFac
void v_BwdTrans_SumFac(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override
Definition: StdPrismExp.cpp:244
Nektar::LibUtilities::eModified_B
@ eModified_B
Principle Modified Functions .
Definition: BasisType.h:49
Nektar::LibUtilities::eModified_C
@ eModified_C
Principle Modified Functions .
Definition: BasisType.h:50
Nektar::LibUtilities::eOrtho_C
@ eOrtho_C
Principle Orthogonal Functions .
Definition: BasisType.h:46
Nektar::LibUtilities::eOrtho_B
@ eOrtho_B
Principle Orthogonal Functions .
Definition: BasisType.h:44
Vmath::Vcopy
void Vcopy(int n, const T *x, const int incx, T *y, const int incy)
Definition: Vmath.hpp:825

References ASSERTL1, Nektar::LibUtilities::eModified_B, Nektar::LibUtilities::eModified_C, Nektar::LibUtilities::eOrtho_B, Nektar::LibUtilities::eOrtho_C, Nektar::StdRegions::StdExpansion::GetBasisType(), Nektar::StdRegions::StdExpansion::GetNumPoints(), Nektar::StdRegions::StdExpansion::m_base, v_BwdTrans_SumFac(), and Vmath::Vcopy().

Referenced by v_FillMode().

◆ v_BwdTrans_SumFac()

void Nektar::StdRegions::StdPrismExp::v_BwdTrans_SumFac ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 244 of file StdPrismExp.cpp.

246{
247 int nquad1 = m_base[1]->GetNumPoints();
248 int nquad2 = m_base[2]->GetNumPoints();
249 int order0 = m_base[0]->GetNumModes();
250 int order1 = m_base[1]->GetNumModes();
251
252 Array<OneD, NekDouble> wsp(nquad2 * order1 * order0 +
253 nquad1 * nquad2 * order0);
254
255 BwdTrans_SumFacKernel(m_base[0]->GetBdata(), m_base[1]->GetBdata(),
256 m_base[2]->GetBdata(), inarray, outarray, wsp, true,
257 true, true);
258}
Nektar::StdRegions::StdExpansion3D::BwdTrans_SumFacKernel
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)
Definition: StdExpansion3D.cpp:97

References Nektar::StdRegions::StdExpansion3D::BwdTrans_SumFacKernel(), and Nektar::StdRegions::StdExpansion::m_base.

Referenced by v_BwdTrans(), and Nektar::StdRegions::StdNodalPrismExp::v_BwdTrans_SumFac().

◆ v_BwdTrans_SumFacKernel()

void Nektar::StdRegions::StdPrismExp::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 
)
overrideprotectedvirtual

Implements Nektar::StdRegions::StdExpansion3D.

Definition at line 260 of file StdPrismExp.cpp.

269{
270 int i, mode;
271 int nquad0 = m_base[0]->GetNumPoints();
272 int nquad1 = m_base[1]->GetNumPoints();
273 int nquad2 = m_base[2]->GetNumPoints();
274 int nummodes0 = m_base[0]->GetNumModes();
275 int nummodes1 = m_base[1]->GetNumModes();
276 int nummodes2 = m_base[2]->GetNumModes();
277 Array<OneD, NekDouble> tmp0 = wsp;
278 Array<OneD, NekDouble> tmp1 = tmp0 + nquad2 * nummodes1 * nummodes0;
279
280 for (i = mode = 0; i < nummodes0; ++i)
281 {
282 Blas::Dgemm('N', 'N', nquad2, nummodes1, nummodes2 - i, 1.0,
283 base2.data() + mode * nquad2, nquad2,
284 inarray.data() + mode * nummodes1, nummodes2 - i, 0.0,
285 tmp0.data() + i * nquad2 * nummodes1, nquad2);
286 mode += nummodes2 - i;
287 }
288
289 if (m_base[0]->GetBasisType() == LibUtilities::eModified_A)
290 {
291 for (i = 0; i < nummodes1; i++)
292 {
293 Blas::Daxpy(nquad2, inarray[1 + i * nummodes2],
294 base2.data() + nquad2, 1,
295 tmp0.data() + nquad2 * (nummodes1 + i), 1);
296 }
297 }
298
299 for (i = 0; i < nummodes0; i++)
300 {
301 Blas::Dgemm('N', 'T', nquad1, nquad2, nummodes1, 1.0, base1.data(),
302 nquad1, tmp0.data() + i * nquad2 * nummodes1, nquad2, 0.0,
303 tmp1.data() + i * nquad2 * nquad1, nquad1);
304 }
305
306 Blas::Dgemm('N', 'T', nquad0, nquad2 * nquad1, nummodes0, 1.0, base0.data(),
307 nquad0, tmp1.data(), nquad2 * nquad1, 0.0, outarray.data(),
308 nquad0);
309}
Blas::Dgemm
static void Dgemm(const char &transa, const char &transb, const int &m, const int &n, const int &k, const double &alpha, const double *a, const int &lda, const double *b, const int &ldb, const double &beta, double *c, const int &ldc)
BLAS level 3: Matrix-matrix multiply C = A x B where op(A)[m x k], op(B)[k x n], C[m x n] DGEMM perfo...
Definition: Blas.hpp:383
Blas::Daxpy
static void Daxpy(const int &n, const double &alpha, const double *x, const int &incx, const double *y, const int &incy)
BLAS level 1: y = alpha x plus y.
Definition: Blas.hpp:135
Nektar::LibUtilities::eModified_A
@ eModified_A
Principle Modified Functions .
Definition: BasisType.h:48

References Blas::Daxpy(), Blas::Dgemm(), Nektar::LibUtilities::eModified_A, Nektar::StdRegions::StdExpansion::GetBasisType(), and Nektar::StdRegions::StdExpansion::m_base.

◆ v_CalcNumberOfCoefficients()

int Nektar::StdRegions::StdPrismExp::v_CalcNumberOfCoefficients ( const std::vector< unsigned int > &  nummodes,
int &  modes_offset 
)
overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 961 of file StdPrismExp.cpp.

963{
964 int nmodes = LibUtilities::StdPrismData::getNumberOfCoefficients(
965 nummodes[modes_offset], nummodes[modes_offset + 1],
966 nummodes[modes_offset + 2]);
967
968 modes_offset += 3;
969 return nmodes;
970}

References Nektar::LibUtilities::StdPrismData::getNumberOfCoefficients().

◆ v_CreateStdMatrix()

DNekMatSharedPtr Nektar::StdRegions::StdPrismExp::v_CreateStdMatrix ( const StdMatrixKey &  mkey)
overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::LocalRegions::PrismExp.

Definition at line 1915 of file StdPrismExp.cpp.

1916{
1917 return v_GenMatrix(mkey);
1918}
Nektar::StdRegions::StdPrismExp::v_GenMatrix
DNekMatSharedPtr v_GenMatrix(const StdMatrixKey &mkey) override
Definition: StdPrismExp.cpp:1828

References v_GenMatrix().

◆ v_DetShapeType()

LibUtilities::ShapeType Nektar::StdRegions::StdPrismExp::v_DetShapeType ( ) const
overrideprotectedvirtual

Return Shape of region, using ShapeType enum list; i.e. prism.

Implements Nektar::StdRegions::StdExpansion.

Definition at line 802 of file StdPrismExp.cpp.

803{
804 return LibUtilities::ePrism;
805}

References Nektar::LibUtilities::ePrism.

◆ v_FillMode()

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

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 716 of file StdPrismExp.cpp.

717{
718 Array<OneD, NekDouble> tmp(m_ncoeffs, 0.0);
719 tmp[mode] = 1.0;
720 StdPrismExp::v_BwdTrans(tmp, outarray);
721}
Nektar::StdRegions::StdPrismExp::v_BwdTrans
void v_BwdTrans(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override
Definition: StdPrismExp.cpp:220

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

Referenced by Nektar::StdRegions::StdNodalPrismExp::GenNBasisTransMatrix().

◆ v_FwdTrans()

void Nektar::StdRegions::StdPrismExp::v_FwdTrans ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
overrideprotectedvirtual

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.

Implements Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::LocalRegions::PrismExp.

Definition at line 322 of file StdPrismExp.cpp.

324{
325 v_IProductWRTBase(inarray, outarray);
326
327 // Get Mass matrix inverse
328 StdMatrixKey masskey(eInvMass, DetShapeType(), *this);
329 DNekMatSharedPtr matsys = GetStdMatrix(masskey);
330
331 // copy inarray in case inarray == outarray
332 DNekVec in(m_ncoeffs, outarray);
333 DNekVec out(m_ncoeffs, outarray, eWrapper);
334
335 out = (*matsys) * in;
336}
Nektar::StdRegions::StdExpansion::GetStdMatrix
DNekMatSharedPtr GetStdMatrix(const StdMatrixKey &mkey)
Definition: StdExpansion.h:612
Nektar::StdRegions::StdExpansion::DetShapeType
LibUtilities::ShapeType DetShapeType() const
This function returns the shape of the expansion domain.
Definition: StdExpansion.h:370
Nektar::StdRegions::StdPrismExp::v_IProductWRTBase
void v_IProductWRTBase(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override
Calculate the inner product of inarray with respect to the basis B=base0*base1*base2 and put into out...
Definition: StdPrismExp.cpp:368
Nektar::DNekVec
NekVector< NekDouble > DNekVec
Definition: NekTypeDefs.hpp:48
Nektar::DNekMatSharedPtr
std::shared_ptr< DNekMat > DNekMatSharedPtr
Definition: NekTypeDefs.hpp:75

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

◆ v_GenMatrix()

DNekMatSharedPtr Nektar::StdRegions::StdPrismExp::v_GenMatrix ( const StdMatrixKey &  mkey)
overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::LocalRegions::PrismExp.

Definition at line 1828 of file StdPrismExp.cpp.

1829{
1830
1831 MatrixType mtype = mkey.GetMatrixType();
1832
1833 DNekMatSharedPtr Mat;
1834
1835 switch (mtype)
1836 {
1837 case ePhysInterpToEquiSpaced:
1838 {
1839 int nq0 = m_base[0]->GetNumPoints();
1840 int nq1 = m_base[1]->GetNumPoints();
1841 int nq2 = m_base[2]->GetNumPoints();
1842 int nq;
1843
1844 // take definition from key
1845 if (mkey.ConstFactorExists(eFactorConst))
1846 {
1847 nq = (int)mkey.GetConstFactor(eFactorConst);
1848 }
1849 else
1850 {
1851 nq = max(nq0, max(nq1, nq2));
1852 }
1853
1854 int neq =
1855 LibUtilities::StdPrismData::getNumberOfCoefficients(nq, nq, nq);
1856 Array<OneD, Array<OneD, NekDouble>> coords(neq);
1857 Array<OneD, NekDouble> coll(3);
1858 Array<OneD, DNekMatSharedPtr> I(3);
1859 Array<OneD, NekDouble> tmp(nq0);
1860
1861 Mat =
1862 MemoryManager<DNekMat>::AllocateSharedPtr(neq, nq0 * nq1 * nq2);
1863 int cnt = 0;
1864 for (int i = 0; i < nq; ++i)
1865 {
1866 for (int j = 0; j < nq; ++j)
1867 {
1868 for (int k = 0; k < nq - i; ++k, ++cnt)
1869 {
1870 coords[cnt] = Array<OneD, NekDouble>(3);
1871 coords[cnt][0] = -1.0 + 2 * k / (NekDouble)(nq - 1);
1872 coords[cnt][1] = -1.0 + 2 * j / (NekDouble)(nq - 1);
1873 coords[cnt][2] = -1.0 + 2 * i / (NekDouble)(nq - 1);
1874 }
1875 }
1876 }
1877
1878 for (int i = 0; i < neq; ++i)
1879 {
1880 LocCoordToLocCollapsed(coords[i], coll);
1881
1882 I[0] = m_base[0]->GetI(coll);
1883 I[1] = m_base[1]->GetI(coll + 1);
1884 I[2] = m_base[2]->GetI(coll + 2);
1885
1886 // interpolate first coordinate direction
1887 NekDouble fac;
1888 for (int k = 0; k < nq2; ++k)
1889 {
1890 for (int j = 0; j < nq1; ++j)
1891 {
1892
1893 fac = (I[1]->GetPtr())[j] * (I[2]->GetPtr())[k];
1894 Vmath::Smul(nq0, fac, I[0]->GetPtr(), 1, tmp, 1);
1895
1896 Vmath::Vcopy(nq0, &tmp[0], 1,
1897 Mat->GetRawPtr() + k * nq0 * nq1 * neq +
1898 j * nq0 * neq + i,
1899 neq);
1900 }
1901 }
1902 }
1903 }
1904 break;
1905 default:
1906 {
1907 Mat = StdExpansion::CreateGeneralMatrix(mkey);
1908 }
1909 break;
1910 }
1911
1912 return Mat;
1913}
Nektar::MemoryManager::AllocateSharedPtr
static std::shared_ptr< DataType > AllocateSharedPtr(const Args &...args)
Allocate a shared pointer from the memory pool.
Definition: NekMemoryManager.hpp:166
Nektar::StdRegions::StdExpansion::LocCoordToLocCollapsed
void LocCoordToLocCollapsed(const Array< OneD, const NekDouble > &xi, Array< OneD, NekDouble > &eta)
Convert local cartesian coordinate xi into local collapsed coordinates eta.
Definition: StdExpansion.h:1011
Nektar::StdRegions::StdExpansion::CreateGeneralMatrix
DNekMatSharedPtr CreateGeneralMatrix(const StdMatrixKey &mkey)
this function generates the mass matrix
Definition: StdExpansion.cpp:243
Nektar::NekDouble
double NekDouble
Definition: NektarUnivTypeDefs.hpp:43
Vmath::Smul
void Smul(int n, const T alpha, const T *x, const int incx, T *y, const int incy)
Scalar multiply y = alpha*x.
Definition: Vmath.hpp:100

References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), Nektar::StdRegions::StdMatrixKey::ConstFactorExists(), Nektar::StdRegions::StdExpansion::CreateGeneralMatrix(), Nektar::StdRegions::eFactorConst, Nektar::StdRegions::ePhysInterpToEquiSpaced, Nektar::StdRegions::StdMatrixKey::GetConstFactor(), Nektar::StdRegions::StdMatrixKey::GetMatrixType(), Nektar::LibUtilities::StdPrismData::getNumberOfCoefficients(), Nektar::StdRegions::StdExpansion::LocCoordToLocCollapsed(), Nektar::StdRegions::StdExpansion::m_base, Vmath::Smul(), and Vmath::Vcopy().

Referenced by v_CreateStdMatrix().

◆ v_GetBoundaryMap()

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

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 1086 of file StdPrismExp.cpp.

1087{
1088 ASSERTL1(GetBasisType(0) == LibUtilities::eModified_A ||
1089 GetBasisType(0) == LibUtilities::eGLL_Lagrange,
1090 "BasisType is not a boundary interior form");
1091 ASSERTL1(GetBasisType(1) == LibUtilities::eModified_A ||
1092 GetBasisType(1) == LibUtilities::eGLL_Lagrange,
1093 "BasisType is not a boundary interior form");
1094 ASSERTL1(GetBasisType(2) == LibUtilities::eModified_B ||
1095 GetBasisType(2) == LibUtilities::eGLL_Lagrange,
1096 "BasisType is not a boundary interior form");
1097
1098 int P = m_base[0]->GetNumModes() - 1, p;
1099 int Q = m_base[1]->GetNumModes() - 1, q;
1100 int R = m_base[2]->GetNumModes() - 1, r;
1101 int idx = 0;
1102
1103 int nBnd = NumBndryCoeffs();
1104
1105 if (maparray.size() != nBnd)
1106 {
1107 maparray = Array<OneD, unsigned int>(nBnd);
1108 }
1109
1110 // Loop over all boundary modes (in ascending order).
1111 for (p = 0; p <= P; ++p)
1112 {
1113 // First two q-r planes are entirely boundary modes.
1114 if (p <= 1)
1115 {
1116 for (q = 0; q <= Q; ++q)
1117 {
1118 for (r = 0; r <= R - p; ++r)
1119 {
1120 maparray[idx++] = GetMode(p, q, r);
1121 }
1122 }
1123 }
1124 else
1125 {
1126 // Remaining q-r planes contain boundary modes on the two
1127 // left-hand sides and bottom edge.
1128 for (q = 0; q <= Q; ++q)
1129 {
1130 if (q <= 1)
1131 {
1132 for (r = 0; r <= R - p; ++r)
1133 {
1134 maparray[idx++] = GetMode(p, q, r);
1135 }
1136 }
1137 else
1138 {
1139 maparray[idx++] = GetMode(p, q, 0);
1140 }
1141 }
1142 }
1143 }
1144}
Nektar::StdRegions::StdPrismExp::GetMode
int GetMode(int I, int J, int K)
Compute the local mode number in the expansion for a particular tensorial combination.
Definition: StdPrismExp.cpp:1938
Nektar::LibUtilities::P
@ P
Monomial polynomials .
Definition: BasisType.h:62
Nektar::LibUtilities::eGLL_Lagrange
@ eGLL_Lagrange
Lagrange for SEM basis .
Definition: BasisType.h:56

References ASSERTL1, Nektar::LibUtilities::eGLL_Lagrange, Nektar::LibUtilities::eModified_A, Nektar::LibUtilities::eModified_B, Nektar::StdRegions::StdExpansion::GetBasisType(), GetMode(), Nektar::StdRegions::StdExpansion::m_base, Nektar::StdRegions::StdExpansion::NumBndryCoeffs(), Nektar::LibUtilities::P, CellMLToNektar.cellml_metadata::p, and Nektar::UnitTests::q().

◆ v_GetCoords()

void Nektar::StdRegions::StdPrismExp::v_GetCoords ( Array< OneD, NekDouble > &  xi_x,
Array< OneD, NekDouble > &  xi_y,
Array< OneD, NekDouble > &  xi_z 
)
overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::LocalRegions::PrismExp.

Definition at line 610 of file StdPrismExp.cpp.

613{
614 Array<OneD, const NekDouble> etaBar_x = m_base[0]->GetZ();
615 Array<OneD, const NekDouble> eta_y = m_base[1]->GetZ();
616 Array<OneD, const NekDouble> eta_z = m_base[2]->GetZ();
617 int Qx = GetNumPoints(0);
618 int Qy = GetNumPoints(1);
619 int Qz = GetNumPoints(2);
620
621 // Convert collapsed coordinates into cartesian coordinates: eta --> xi
622 for (int k = 0; k < Qz; ++k)
623 {
624 for (int j = 0; j < Qy; ++j)
625 {
626 for (int i = 0; i < Qx; ++i)
627 {
628 int s = i + Qx * (j + Qy * k);
629 xi_x[s] = (1.0 - eta_z[k]) * (1.0 + etaBar_x[i]) / 2.0 - 1.0;
630 xi_y[s] = eta_y[j];
631 xi_z[s] = eta_z[k];
632 }
633 }
634 }
635}

References Nektar::StdRegions::StdExpansion::GetNumPoints(), and Nektar::StdRegions::StdExpansion::m_base.

◆ v_GetEdgeInteriorToElementMap()

void Nektar::StdRegions::StdPrismExp::v_GetEdgeInteriorToElementMap ( const int  tid,
Array< OneD, unsigned int > &  maparray,
Array< OneD, int > &  signarray,
const Orientation  traceOrient = eDir1FwdDir1_Dir2FwdDir2 
)
overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion3D.

Definition at line 1523 of file StdPrismExp.cpp.

1526{
1527 int i;
1528 bool signChange;
1529 const int P = m_base[0]->GetNumModes() - 1;
1530 const int Q = m_base[1]->GetNumModes() - 1;
1531 const int R = m_base[2]->GetNumModes() - 1;
1532 const int nEdgeIntCoeffs = v_GetEdgeNcoeffs(eid) - 2;
1533
1534 if (maparray.size() != nEdgeIntCoeffs)
1535 {
1536 maparray = Array<OneD, unsigned int>(nEdgeIntCoeffs);
1537 }
1538
1539 if (signarray.size() != nEdgeIntCoeffs)
1540 {
1541 signarray = Array<OneD, int>(nEdgeIntCoeffs, 1);
1542 }
1543 else
1544 {
1545 fill(signarray.data(), signarray.data() + nEdgeIntCoeffs, 1);
1546 }
1547
1548 // If edge is oriented backwards, change sign of modes which have
1549 // degree 2n+1, n >= 1.
1550 signChange = edgeOrient == eBackwards;
1551
1552 switch (eid)
1553 {
1554 case 0:
1555 for (i = 2; i <= P; ++i)
1556 {
1557 maparray[i - 2] = GetMode(i, 0, 0);
1558 }
1559 break;
1560
1561 case 1:
1562 for (i = 2; i <= Q; ++i)
1563 {
1564 maparray[i - 2] = GetMode(1, i, 0);
1565 }
1566 break;
1567
1568 case 2:
1569 // Base quad; reverse direction.
1570 // signChange = !signChange;
1571 for (i = 2; i <= P; ++i)
1572 {
1573 maparray[i - 2] = GetMode(i, 1, 0);
1574 }
1575 break;
1576
1577 case 3:
1578 // Base quad; reverse direction.
1579 // signChange = !signChange;
1580 for (i = 2; i <= Q; ++i)
1581 {
1582 maparray[i - 2] = GetMode(0, i, 0);
1583 }
1584 break;
1585
1586 case 4:
1587 for (i = 2; i <= R; ++i)
1588 {
1589 maparray[i - 2] = GetMode(0, 0, i);
1590 }
1591 break;
1592
1593 case 5:
1594 for (i = 1; i <= R - 1; ++i)
1595 {
1596 maparray[i - 1] = GetMode(1, 0, i);
1597 }
1598 break;
1599
1600 case 6:
1601 for (i = 1; i <= R - 1; ++i)
1602 {
1603 maparray[i - 1] = GetMode(1, 1, i);
1604 }
1605 break;
1606
1607 case 7:
1608 for (i = 2; i <= R; ++i)
1609 {
1610 maparray[i - 2] = GetMode(0, 1, i);
1611 }
1612 break;
1613
1614 case 8:
1615 for (i = 2; i <= Q; ++i)
1616 {
1617 maparray[i - 2] = GetMode(0, i, 1);
1618 }
1619 break;
1620
1621 default:
1622 ASSERTL0(false, "Edge not defined.");
1623 break;
1624 }
1625
1626 if (signChange)
1627 {
1628 for (i = 1; i < nEdgeIntCoeffs; i += 2)
1629 {
1630 signarray[i] = -1;
1631 }
1632 }
1633}
Nektar::StdRegions::StdPrismExp::v_GetEdgeNcoeffs
int v_GetEdgeNcoeffs(const int i) const override
Definition: StdPrismExp.cpp:761

References ASSERTL0, Nektar::StdRegions::eBackwards, GetMode(), Nektar::StdRegions::StdExpansion::m_base, Nektar::LibUtilities::P, and v_GetEdgeNcoeffs().

◆ v_GetEdgeNcoeffs()

int Nektar::StdRegions::StdPrismExp::v_GetEdgeNcoeffs ( const int  i) const
overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion3D.

Definition at line 761 of file StdPrismExp.cpp.

762{
763 ASSERTL2(i >= 0 && i <= 8, "edge id is out of range");
764
765 if (i == 0 || i == 2)
766 {
767 return GetBasisNumModes(0);
768 }
769 else if (i == 1 || i == 3 || i == 8)
770 {
771 return GetBasisNumModes(1);
772 }
773 else
774 {
775 return GetBasisNumModes(2);
776 }
777}
ASSERTL2
#define ASSERTL2(condition, msg)
Assert Level 2 – Debugging which is used FULLDEBUG compilation mode. This level assert is designed to...
Definition: ErrorUtil.hpp:265
Nektar::StdRegions::StdExpansion::GetBasisNumModes
int GetBasisNumModes(const int dir) const
This function returns the number of expansion modes in the dir direction.
Definition: StdExpansion.h:169

References ASSERTL2, and Nektar::StdRegions::StdExpansion::GetBasisNumModes().

Referenced by v_GetEdgeInteriorToElementMap().

◆ v_GetElmtTraceToTraceMap()

void Nektar::StdRegions::StdPrismExp::v_GetElmtTraceToTraceMap ( const unsigned int  fid,
Array< OneD, unsigned int > &  maparray,
Array< OneD, int > &  signarray,
Orientation  faceOrient,
int  P,
int  Q 
)
overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 1247 of file StdPrismExp.cpp.

1251{
1252 ASSERTL1(GetBasisType(0) == GetBasisType(1),
1253 "Method only implemented if BasisType is identical"
1254 "in x and y directions");
1255 ASSERTL1(GetBasisType(0) == LibUtilities::eModified_A &&
1256 GetBasisType(2) == LibUtilities::eModified_B,
1257 "Method only implemented for Modified_A BasisType"
1258 "(x and y direction) and Modified_B BasisType (z "
1259 "direction)");
1260
1261 int i, j, k, p, r, nFaceCoeffs, idx = 0;
1262 int nummodesA = 0, nummodesB = 0;
1263
1264 switch (fid)
1265 {
1266 case 0:
1267 nummodesA = m_base[0]->GetNumModes();
1268 nummodesB = m_base[1]->GetNumModes();
1269 break;
1270 case 1:
1271 case 3:
1272 nummodesA = m_base[0]->GetNumModes();
1273 nummodesB = m_base[2]->GetNumModes();
1274 break;
1275 case 2:
1276 case 4:
1277 nummodesA = m_base[1]->GetNumModes();
1278 nummodesB = m_base[2]->GetNumModes();
1279 break;
1280 default:
1281 ASSERTL0(false, "fid must be between 0 and 4");
1282 }
1283
1284 if (P == -1)
1285 {
1286 P = nummodesA;
1287 Q = nummodesB;
1288 nFaceCoeffs = GetTraceNcoeffs(fid);
1289 }
1290 else if (fid == 1 || fid == 3)
1291 {
1292 nFaceCoeffs = P * (2 * Q - P + 1) / 2;
1293 }
1294 else
1295 {
1296 nFaceCoeffs = P * Q;
1297 }
1298
1299 // Allocate the map array and sign array; set sign array to ones (+)
1300 if (maparray.size() != nFaceCoeffs)
1301 {
1302 maparray = Array<OneD, unsigned int>(nFaceCoeffs);
1303 }
1304
1305 if (signarray.size() != nFaceCoeffs)
1306 {
1307 signarray = Array<OneD, int>(nFaceCoeffs, 1);
1308 }
1309 else
1310 {
1311 fill(signarray.data(), signarray.data() + nFaceCoeffs, 1);
1312 }
1313
1314 int minPA = min(nummodesA, P);
1315 int minQB = min(nummodesB, Q);
1316 // triangular faces
1317 if (fid == 1 || fid == 3)
1318 {
1319 // zero signmap and set maparray to zero if elemental
1320 // modes are not as large as face modesl
1321 idx = 0;
1322 int cnt = 0;
1323
1324 for (j = 0; j < minPA; ++j)
1325 {
1326 // set maparray
1327 for (k = 0; k < minQB - j; ++k, ++cnt)
1328 {
1329 maparray[idx++] = cnt;
1330 }
1331
1332 cnt += nummodesB - minQB;
1333
1334 // idx += nummodesB-j;
1335 for (k = nummodesB - j; k < Q - j; ++k)
1336 {
1337 signarray[idx] = 0.0;
1338 maparray[idx++] = maparray[0];
1339 }
1340 }
1341#if 0 // no required?
1342 for (j = minPA; j < nummodesA; ++j)
1343 {
1344 // set maparray
1345 for (k = 0; k < minQB-j; ++k, ++cnt)
1346 {
1347 maparray[idx++] = cnt;
1348 }
1349
1350 cnt += nummodesB-minQB;
1351
1352 //idx += nummodesB-j;
1353 for (k = nummodesB-j; k < Q-j; ++k)
1354 {
1355 signarray[idx] = 0.0;
1356 maparray[idx++] = maparray[0];
1357 }
1358 }
1359#endif
1360 for (j = nummodesA; j < P; ++j)
1361 {
1362 for (k = 0; k < Q - j; ++k)
1363 {
1364 signarray[idx] = 0.0;
1365 maparray[idx++] = maparray[0];
1366 }
1367 }
1368
1369 // Triangles only have one possible orientation (base
1370 // direction reversed); swap edge modes.
1371 if (faceOrient == eDir1BwdDir1_Dir2FwdDir2)
1372 {
1373 idx = 0;
1374 for (p = 0; p < P; ++p)
1375 {
1376 for (r = 0; r < Q - p; ++r, idx++)
1377 {
1378 if (p > 1)
1379 {
1380 signarray[idx] = p % 2 ? -1 : 1;
1381 }
1382 }
1383 }
1384
1385 swap(maparray[0], maparray[Q]);
1386 for (i = 1; i < Q - 1; ++i)
1387 {
1388 swap(maparray[i + 1], maparray[Q + i]);
1389 }
1390 }
1391 }
1392 else
1393 {
1394 // Set up an array indexing for quads, since the
1395 // ordering may need to be transposed.
1396 Array<OneD, int> arrayindx(nFaceCoeffs, -1);
1397
1398 for (i = 0; i < Q; i++)
1399 {
1400 for (j = 0; j < P; j++)
1401 {
1402 if (faceOrient < eDir1FwdDir2_Dir2FwdDir1)
1403 {
1404 arrayindx[i * P + j] = i * P + j;
1405 }
1406 else
1407 {
1408 arrayindx[i * P + j] = j * Q + i;
1409 }
1410 }
1411 }
1412
1413 // zero signmap and set maparray to zero if elemental
1414 // modes are not as large as face modesl
1415 for (j = 0; j < P; ++j)
1416 {
1417 // set up default maparray
1418 for (k = 0; k < Q; k++)
1419 {
1420 maparray[arrayindx[j + k * P]] = j + k * nummodesA;
1421 }
1422
1423 for (k = nummodesB; k < Q; ++k)
1424 {
1425 signarray[arrayindx[j + k * P]] = 0.0;
1426 maparray[arrayindx[j + k * P]] = maparray[0];
1427 }
1428 }
1429
1430 for (j = nummodesA; j < P; ++j)
1431 {
1432 for (k = 0; k < Q; ++k)
1433 {
1434 signarray[arrayindx[j + k * P]] = 0.0;
1435 maparray[arrayindx[j + k * P]] = maparray[0];
1436 }
1437 }
1438
1439 // The code below is exactly the same as that taken from
1440 // StdHexExp and reverses the 'b' and 'a' directions as
1441 // appropriate (1st and 2nd if statements respectively) in
1442 // quadrilateral faces.
1443 if (faceOrient == eDir1FwdDir1_Dir2BwdDir2 ||
1444 faceOrient == eDir1BwdDir1_Dir2BwdDir2 ||
1445 faceOrient == eDir1BwdDir2_Dir2FwdDir1 ||
1446 faceOrient == eDir1BwdDir2_Dir2BwdDir1)
1447 {
1448 if (faceOrient < eDir1FwdDir2_Dir2FwdDir1)
1449 {
1450 for (i = 3; i < Q; i += 2)
1451 {
1452 for (j = 0; j < P; j++)
1453 {
1454 signarray[arrayindx[i * P + j]] *= -1;
1455 }
1456 }
1457
1458 for (i = 0; i < P; i++)
1459 {
1460 swap(maparray[i], maparray[i + P]);
1461 swap(signarray[i], signarray[i + P]);
1462 }
1463 }
1464 else
1465 {
1466 for (i = 0; i < Q; i++)
1467 {
1468 for (j = 3; j < P; j += 2)
1469 {
1470 signarray[arrayindx[i * P + j]] *= -1;
1471 }
1472 }
1473
1474 for (i = 0; i < Q; i++)
1475 {
1476 swap(maparray[i], maparray[i + Q]);
1477 swap(signarray[i], signarray[i + Q]);
1478 }
1479 }
1480 }
1481
1482 if (faceOrient == eDir1BwdDir1_Dir2FwdDir2 ||
1483 faceOrient == eDir1BwdDir1_Dir2BwdDir2 ||
1484 faceOrient == eDir1FwdDir2_Dir2BwdDir1 ||
1485 faceOrient == eDir1BwdDir2_Dir2BwdDir1)
1486 {
1487 if (faceOrient < eDir1FwdDir2_Dir2FwdDir1)
1488 {
1489 for (i = 0; i < Q; i++)
1490 {
1491 for (j = 3; j < P; j += 2)
1492 {
1493 signarray[arrayindx[i * P + j]] *= -1;
1494 }
1495 }
1496
1497 for (i = 0; i < Q; i++)
1498 {
1499 swap(maparray[i * P], maparray[i * P + 1]);
1500 swap(signarray[i * P], signarray[i * P + 1]);
1501 }
1502 }
1503 else
1504 {
1505 for (i = 3; i < Q; i += 2)
1506 {
1507 for (j = 0; j < P; j++)
1508 {
1509 signarray[arrayindx[i * P + j]] *= -1;
1510 }
1511 }
1512
1513 for (i = 0; i < P; i++)
1514 {
1515 swap(maparray[i * Q], maparray[i * Q + 1]);
1516 swap(signarray[i * Q], signarray[i * Q + 1]);
1517 }
1518 }
1519 }
1520 }
1521}
Nektar::StdRegions::StdExpansion::GetTraceNcoeffs
int GetTraceNcoeffs(const int i) const
This function returns the number of expansion coefficients belonging to the i-th trace.
Definition: StdExpansion.h:261

References ASSERTL0, ASSERTL1, Nektar::StdRegions::eDir1BwdDir1_Dir2BwdDir2, Nektar::StdRegions::eDir1BwdDir1_Dir2FwdDir2, Nektar::StdRegions::eDir1BwdDir2_Dir2BwdDir1, Nektar::StdRegions::eDir1BwdDir2_Dir2FwdDir1, Nektar::StdRegions::eDir1FwdDir1_Dir2BwdDir2, Nektar::StdRegions::eDir1FwdDir2_Dir2BwdDir1, Nektar::StdRegions::eDir1FwdDir2_Dir2FwdDir1, Nektar::LibUtilities::eModified_A, Nektar::LibUtilities::eModified_B, Nektar::StdRegions::StdExpansion::GetBasisType(), Nektar::StdRegions::StdExpansion::GetTraceNcoeffs(), Nektar::StdRegions::StdExpansion::m_base, Nektar::LibUtilities::P, and CellMLToNektar.cellml_metadata::p.

◆ v_GetInteriorMap()

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

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 1048 of file StdPrismExp.cpp.

1049{
1050 ASSERTL1(GetBasisType(0) == LibUtilities::eModified_A ||
1051 GetBasisType(0) == LibUtilities::eGLL_Lagrange,
1052 "BasisType is not a boundary interior form");
1053 ASSERTL1(GetBasisType(1) == LibUtilities::eModified_A ||
1054 GetBasisType(1) == LibUtilities::eGLL_Lagrange,
1055 "BasisType is not a boundary interior form");
1056 ASSERTL1(GetBasisType(2) == LibUtilities::eModified_B ||
1057 GetBasisType(2) == LibUtilities::eGLL_Lagrange,
1058 "BasisType is not a boundary interior form");
1059
1060 int P = m_base[0]->GetNumModes() - 1, p;
1061 int Q = m_base[1]->GetNumModes() - 1, q;
1062 int R = m_base[2]->GetNumModes() - 1, r;
1063
1064 int nIntCoeffs = m_ncoeffs - NumBndryCoeffs();
1065
1066 if (outarray.size() != nIntCoeffs)
1067 {
1068 outarray = Array<OneD, unsigned int>(nIntCoeffs);
1069 }
1070
1071 int idx = 0;
1072
1073 // Loop over all interior modes.
1074 for (p = 2; p <= P; ++p)
1075 {
1076 for (q = 2; q <= Q; ++q)
1077 {
1078 for (r = 1; r <= R - p; ++r)
1079 {
1080 outarray[idx++] = GetMode(p, q, r);
1081 }
1082 }
1083 }
1084}

References ASSERTL1, Nektar::LibUtilities::eGLL_Lagrange, Nektar::LibUtilities::eModified_A, Nektar::LibUtilities::eModified_B, Nektar::StdRegions::StdExpansion::GetBasisType(), GetMode(), Nektar::StdRegions::StdExpansion::m_base, Nektar::StdRegions::StdExpansion::m_ncoeffs, Nektar::StdRegions::StdExpansion::NumBndryCoeffs(), Nektar::LibUtilities::P, CellMLToNektar.cellml_metadata::p, and Nektar::UnitTests::q().

◆ v_GetNedges()

int Nektar::StdRegions::StdPrismExp::v_GetNedges ( void  ) const
overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion3D.

Definition at line 788 of file StdPrismExp.cpp.

789{
790 return 9;
791}

◆ v_GetNtraces()

int Nektar::StdRegions::StdPrismExp::v_GetNtraces ( ) const
overrideprotectedvirtual

Implements Nektar::StdRegions::StdExpansion.

Definition at line 793 of file StdPrismExp.cpp.

794{
795 return 5;
796}

◆ v_GetNverts()

int Nektar::StdRegions::StdPrismExp::v_GetNverts ( ) const
overrideprotectedvirtual

Implements Nektar::StdRegions::StdExpansion.

Definition at line 783 of file StdPrismExp.cpp.

784{
785 return 6;
786}

◆ v_GetTraceBasisKey()

const LibUtilities::BasisKey Nektar::StdRegions::StdPrismExp::v_GetTraceBasisKey ( const int  i,
const int  k,
bool  UseGLL = false 
) const
overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 925 of file StdPrismExp.cpp.

928{
929 ASSERTL2(i >= 0 && i <= 4, "face id is out of range");
930 ASSERTL2(k >= 0 && k <= 1, "basis key id is out of range");
931
932 switch (i)
933 {
934 case 0:
935 {
936 return EvaluateQuadFaceBasisKey(k, m_base[k]->GetBasisType(),
937 m_base[k]->GetNumPoints(),
938 m_base[k]->GetNumModes());
939 }
940 case 2:
941 case 4:
942 {
943 return EvaluateQuadFaceBasisKey(k, m_base[k + 1]->GetBasisType(),
944 m_base[k + 1]->GetNumPoints(),
945 m_base[k + 1]->GetNumModes());
946 }
947 case 1:
948 case 3:
949 {
950 return EvaluateTriFaceBasisKey(
951 k, m_base[2 * k]->GetBasisType(), m_base[2 * k]->GetNumPoints(),
952 m_base[2 * k]->GetNumModes(), UseGLL);
953 }
954 break;
955 }
956
957 // Should never get here.
958 return LibUtilities::NullBasisKey;
959}
Nektar::LibUtilities::NullBasisKey
static const BasisKey NullBasisKey(eNoBasisType, 0, NullPointsKey)
Defines a null basis with no type or points.
Nektar::StdRegions::EvaluateTriFaceBasisKey
LibUtilities::BasisKey EvaluateTriFaceBasisKey(const int facedir, const LibUtilities::BasisType faceDirBasisType, const int numpoints, const int nummodes, bool UseGLL)
Definition: StdExpansion3D.cpp:487
Nektar::StdRegions::EvaluateQuadFaceBasisKey
LibUtilities::BasisKey EvaluateQuadFaceBasisKey(const int facedir, const LibUtilities::BasisType faceDirBasisType, const int numpoints, const int nummodes)
Definition: StdExpansion3D.cpp:431

References ASSERTL2, Nektar::StdRegions::EvaluateQuadFaceBasisKey(), Nektar::StdRegions::EvaluateTriFaceBasisKey(), Nektar::StdRegions::StdExpansion::GetBasisType(), Nektar::StdRegions::StdExpansion::GetNumPoints(), Nektar::StdRegions::StdExpansion::m_base, and Nektar::LibUtilities::NullBasisKey().

◆ v_GetTraceCoeffMap()

void Nektar::StdRegions::StdPrismExp::v_GetTraceCoeffMap ( const unsigned int  fid,
Array< OneD, unsigned int > &  maparray 
)
overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 1146 of file StdPrismExp.cpp.

1148{
1149 ASSERTL1(GetBasisType(0) == GetBasisType(1),
1150 "Method only implemented if BasisType is identical"
1151 "in x and y directions");
1152 ASSERTL1(GetBasisType(0) == LibUtilities::eModified_A &&
1153 GetBasisType(2) == LibUtilities::eModified_B,
1154 "Method only implemented for Modified_A BasisType"
1155 "(x and y direction) and Modified_B BasisType (z "
1156 "direction)");
1157 int p, q, r, idx = 0;
1158 int P = 0, Q = 0;
1159
1160 switch (fid)
1161 {
1162 case 0:
1163 P = m_base[0]->GetNumModes();
1164 Q = m_base[1]->GetNumModes();
1165 break;
1166 case 1:
1167 case 3:
1168 P = m_base[0]->GetNumModes();
1169 Q = m_base[2]->GetNumModes();
1170 break;
1171 case 2:
1172 case 4:
1173 P = m_base[1]->GetNumModes();
1174 Q = m_base[2]->GetNumModes();
1175 break;
1176 default:
1177 ASSERTL0(false, "fid must be between 0 and 4");
1178 }
1179
1180 if (maparray.size() != P * Q)
1181 {
1182 maparray = Array<OneD, unsigned int>(P * Q);
1183 }
1184
1185 // Set up ordering inside each 2D face. Also for triangular faces,
1186 // populate signarray.
1187 switch (fid)
1188 {
1189 case 0: // Bottom quad
1190 for (q = 0; q < Q; ++q)
1191 {
1192 for (p = 0; p < P; ++p)
1193 {
1194 maparray[q * P + p] = GetMode(p, q, 0);
1195 }
1196 }
1197 break;
1198 case 1: // Left triangle
1199 for (p = 0; p < P; ++p)
1200 {
1201 for (r = 0; r < Q - p; ++r)
1202 {
1203 maparray[idx++] = GetMode(p, 0, r);
1204 }
1205 }
1206 break;
1207 case 2: // Slanted quad
1208 for (q = 0; q < P; ++q)
1209 {
1210 maparray[q] = GetMode(1, q, 0);
1211 }
1212 for (q = 0; q < P; ++q)
1213 {
1214 maparray[P + q] = GetMode(0, q, 1);
1215 }
1216 for (r = 1; r < Q - 1; ++r)
1217 {
1218 for (q = 0; q < P; ++q)
1219 {
1220 maparray[(r + 1) * P + q] = GetMode(1, q, r);
1221 }
1222 }
1223 break;
1224 case 3: // Right triangle
1225 for (p = 0; p < P; ++p)
1226 {
1227 for (r = 0; r < Q - p; ++r)
1228 {
1229 maparray[idx++] = GetMode(p, 1, r);
1230 }
1231 }
1232 break;
1233 case 4: // Rear quad
1234 for (r = 0; r < Q; ++r)
1235 {
1236 for (q = 0; q < P; ++q)
1237 {
1238 maparray[r * P + q] = GetMode(0, q, r);
1239 }
1240 }
1241 break;
1242 default:
1243 ASSERTL0(false, "Face to element map unavailable.");
1244 }
1245}

References ASSERTL0, ASSERTL1, Nektar::LibUtilities::eModified_A, Nektar::LibUtilities::eModified_B, Nektar::StdRegions::StdExpansion::GetBasisType(), GetMode(), Nektar::StdRegions::StdExpansion::m_base, Nektar::LibUtilities::P, CellMLToNektar.cellml_metadata::p, and Nektar::UnitTests::q().

◆ v_GetTraceInteriorToElementMap()

void Nektar::StdRegions::StdPrismExp::v_GetTraceInteriorToElementMap ( const int  tid,
Array< OneD, unsigned int > &  maparray,
Array< OneD, int > &  signarray,
const Orientation  traceOrient = eDir1FwdDir1_Dir2FwdDir2 
)
overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 1635 of file StdPrismExp.cpp.

1638{
1639 const int P = m_base[0]->GetNumModes() - 1;
1640 const int Q = m_base[1]->GetNumModes() - 1;
1641 const int R = m_base[2]->GetNumModes() - 1;
1642 const int nFaceIntCoeffs = v_GetTraceIntNcoeffs(fid);
1643 int p, q, r, idx = 0;
1644 int nummodesA = 0;
1645 int nummodesB = 0;
1646 int i = 0;
1647 int j = 0;
1648
1649 if (maparray.size() != nFaceIntCoeffs)
1650 {
1651 maparray = Array<OneD, unsigned int>(nFaceIntCoeffs);
1652 }
1653
1654 if (signarray.size() != nFaceIntCoeffs)
1655 {
1656 signarray = Array<OneD, int>(nFaceIntCoeffs, 1);
1657 }
1658 else
1659 {
1660 fill(signarray.data(), signarray.data() + nFaceIntCoeffs, 1);
1661 }
1662
1663 // Set up an array indexing for quad faces, since the ordering may
1664 // need to be transposed depending on orientation.
1665 Array<OneD, int> arrayindx(nFaceIntCoeffs);
1666 if (fid != 1 && fid != 3)
1667 {
1668 if (fid == 0) // Base quad
1669 {
1670 nummodesA = P - 1;
1671 nummodesB = Q - 1;
1672 }
1673 else // front and back quad
1674 {
1675 nummodesA = Q - 1;
1676 nummodesB = R - 1;
1677 }
1678
1679 for (i = 0; i < nummodesB; i++)
1680 {
1681 for (j = 0; j < nummodesA; j++)
1682 {
1683 if (faceOrient < eDir1FwdDir2_Dir2FwdDir1)
1684 {
1685 arrayindx[i * nummodesA + j] = i * nummodesA + j;
1686 }
1687 else
1688 {
1689 arrayindx[i * nummodesA + j] = j * nummodesB + i;
1690 }
1691 }
1692 }
1693 }
1694
1695 switch (fid)
1696 {
1697 case 0: // Bottom quad
1698 for (q = 2; q <= Q; ++q)
1699 {
1700 for (p = 2; p <= P; ++p)
1701 {
1702 maparray[arrayindx[(q - 2) * nummodesA + (p - 2)]] =
1703 GetMode(p, q, 0);
1704 }
1705 }
1706 break;
1707
1708 case 1: // Left triangle
1709 for (p = 2; p <= P; ++p)
1710 {
1711 for (r = 1; r <= R - p; ++r)
1712 {
1713 if (faceOrient == eDir1BwdDir1_Dir2FwdDir2)
1714 {
1715 signarray[idx] = p % 2 ? -1 : 1;
1716 }
1717 maparray[idx++] = GetMode(p, 0, r);
1718 }
1719 }
1720 break;
1721
1722 case 2: // Slanted quad
1723 for (r = 1; r <= R - 1; ++r)
1724 {
1725 for (q = 2; q <= Q; ++q)
1726 {
1727 maparray[arrayindx[(r - 1) * nummodesA + (q - 2)]] =
1728 GetMode(1, q, r);
1729 }
1730 }
1731 break;
1732
1733 case 3: // Right triangle
1734 for (p = 2; p <= P; ++p)
1735 {
1736 for (r = 1; r <= R - p; ++r)
1737 {
1738 if (faceOrient == eDir1BwdDir1_Dir2FwdDir2)
1739 {
1740 signarray[idx] = p % 2 ? -1 : 1;
1741 }
1742 maparray[idx++] = GetMode(p, 1, r);
1743 }
1744 }
1745 break;
1746
1747 case 4: // Back quad
1748 for (r = 2; r <= R; ++r)
1749 {
1750 for (q = 2; q <= Q; ++q)
1751 {
1752 maparray[arrayindx[(r - 2) * nummodesA + (q - 2)]] =
1753 GetMode(0, q, r);
1754 }
1755 }
1756 break;
1757
1758 default:
1759 ASSERTL0(false, "Face interior map not available.");
1760 }
1761
1762 // Triangular faces are processed in the above switch loop; for
1763 // remaining quad faces, set up orientation if necessary.
1764 if (fid == 1 || fid == 3)
1765 {
1766 return;
1767 }
1768
1769 if (faceOrient == eDir1FwdDir1_Dir2BwdDir2 ||
1770 faceOrient == eDir1BwdDir1_Dir2BwdDir2 ||
1771 faceOrient == eDir1BwdDir2_Dir2FwdDir1 ||
1772 faceOrient == eDir1BwdDir2_Dir2BwdDir1)
1773 {
1774 if (faceOrient < eDir1FwdDir2_Dir2FwdDir1)
1775 {
1776 for (i = 1; i < nummodesB; i += 2)
1777 {
1778 for (j = 0; j < nummodesA; j++)
1779 {
1780 signarray[arrayindx[i * nummodesA + j]] *= -1;
1781 }
1782 }
1783 }
1784 else
1785 {
1786 for (i = 0; i < nummodesB; i++)
1787 {
1788 for (j = 1; j < nummodesA; j += 2)
1789 {
1790 signarray[arrayindx[i * nummodesA + j]] *= -1;
1791 }
1792 }
1793 }
1794 }
1795
1796 if (faceOrient == eDir1BwdDir1_Dir2FwdDir2 ||
1797 faceOrient == eDir1BwdDir1_Dir2BwdDir2 ||
1798 faceOrient == eDir1FwdDir2_Dir2BwdDir1 ||
1799 faceOrient == eDir1BwdDir2_Dir2BwdDir1)
1800 {
1801 if (faceOrient < eDir1FwdDir2_Dir2FwdDir1)
1802 {
1803 for (i = 0; i < nummodesB; i++)
1804 {
1805 for (j = 1; j < nummodesA; j += 2)
1806 {
1807 signarray[arrayindx[i * nummodesA + j]] *= -1;
1808 }
1809 }
1810 }
1811 else
1812 {
1813 for (i = 1; i < nummodesB; i += 2)
1814 {
1815 for (j = 0; j < nummodesA; j++)
1816 {
1817 signarray[arrayindx[i * nummodesA + j]] *= -1;
1818 }
1819 }
1820 }
1821 }
1822}
Nektar::StdRegions::StdPrismExp::v_GetTraceIntNcoeffs
int v_GetTraceIntNcoeffs(const int i) const override
Definition: StdPrismExp.cpp:865

References ASSERTL0, Nektar::StdRegions::eDir1BwdDir1_Dir2BwdDir2, Nektar::StdRegions::eDir1BwdDir1_Dir2FwdDir2, Nektar::StdRegions::eDir1BwdDir2_Dir2BwdDir1, Nektar::StdRegions::eDir1BwdDir2_Dir2FwdDir1, Nektar::StdRegions::eDir1FwdDir1_Dir2BwdDir2, Nektar::StdRegions::eDir1FwdDir2_Dir2BwdDir1, Nektar::StdRegions::eDir1FwdDir2_Dir2FwdDir1, GetMode(), Nektar::StdRegions::StdExpansion::m_base, Nektar::LibUtilities::P, CellMLToNektar.cellml_metadata::p, Nektar::UnitTests::q(), and v_GetTraceIntNcoeffs().

◆ v_GetTraceIntNcoeffs()

int Nektar::StdRegions::StdPrismExp::v_GetTraceIntNcoeffs ( const int  i) const
overrideprotectedvirtual

Implements Nektar::StdRegions::StdExpansion.

Definition at line 865 of file StdPrismExp.cpp.

866{
867 ASSERTL2(i >= 0 && i <= 4, "face id is out of range");
868
869 int Pi = GetBasisNumModes(0) - 2;
870 int Qi = GetBasisNumModes(1) - 2;
871 int Ri = GetBasisNumModes(2) - 2;
872
873 if (i == 0)
874 {
875 return Pi * Qi;
876 }
877 else if (i == 1 || i == 3)
878 {
879 return Pi * (2 * Ri - Pi - 1) / 2;
880 }
881 else
882 {
883 return Qi * Ri;
884 }
885}

References ASSERTL2, and Nektar::StdRegions::StdExpansion::GetBasisNumModes().

Referenced by v_GetTraceInteriorToElementMap().

◆ v_GetTraceNcoeffs()

int Nektar::StdRegions::StdPrismExp::v_GetTraceNcoeffs ( const int  i) const
overrideprotectedvirtual

Implements Nektar::StdRegions::StdExpansion.

Definition at line 847 of file StdPrismExp.cpp.

848{
849 ASSERTL2(i >= 0 && i <= 4, "face id is out of range");
850 if (i == 0)
851 {
852 return GetBasisNumModes(0) * GetBasisNumModes(1);
853 }
854 else if (i == 1 || i == 3)
855 {
856 int P = GetBasisNumModes(0) - 1, Q = GetBasisNumModes(2) - 1;
857 return Q + 1 + (P * (1 + 2 * Q - P)) / 2;
858 }
859 else
860 {
861 return GetBasisNumModes(1) * GetBasisNumModes(2);
862 }
863}

References ASSERTL2, Nektar::StdRegions::StdExpansion::GetBasisNumModes(), and Nektar::LibUtilities::P.

◆ v_GetTraceNumModes()

void Nektar::StdRegions::StdPrismExp::v_GetTraceNumModes ( const int  fid,
int &  numModes0,
int &  numModes1,
Orientation  faceOrient = eDir1FwdDir1_Dir2FwdDir2 
)
overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 723 of file StdPrismExp.cpp.

725{
726 int nummodes[3] = {m_base[0]->GetNumModes(), m_base[1]->GetNumModes(),
727 m_base[2]->GetNumModes()};
728 switch (fid)
729 {
730 // base quad
731 case 0:
732 {
733 numModes0 = nummodes[0];
734 numModes1 = nummodes[1];
735 }
736 break;
737 // front and back quad
738 case 2:
739 case 4:
740 {
741 numModes0 = nummodes[1];
742 numModes1 = nummodes[2];
743 }
744 break;
745 // triangles
746 case 1:
747 case 3:
748 {
749 numModes0 = nummodes[0];
750 numModes1 = nummodes[2];
751 }
752 break;
753 }
754
755 if (faceOrient >= eDir1FwdDir2_Dir2FwdDir1)
756 {
757 std::swap(numModes0, numModes1);
758 }
759}

References Nektar::StdRegions::eDir1FwdDir2_Dir2FwdDir1, and Nektar::StdRegions::StdExpansion::m_base.

◆ v_GetTraceNumPoints()

int Nektar::StdRegions::StdPrismExp::v_GetTraceNumPoints ( const int  i) const
overrideprotectedvirtual

Implements Nektar::StdRegions::StdExpansion.

Definition at line 887 of file StdPrismExp.cpp.

888{
889 ASSERTL2(i >= 0 && i <= 4, "face id is out of range");
890
891 if (i == 0)
892 {
893 return m_base[0]->GetNumPoints() * m_base[1]->GetNumPoints();
894 }
895 else if (i == 1 || i == 3)
896 {
897 return m_base[0]->GetNumPoints() * m_base[2]->GetNumPoints();
898 }
899 else
900 {
901 return m_base[1]->GetNumPoints() * m_base[2]->GetNumPoints();
902 }
903}

References ASSERTL2, and Nektar::StdRegions::StdExpansion::m_base.

◆ v_GetTracePointsKey()

LibUtilities::PointsKey Nektar::StdRegions::StdPrismExp::v_GetTracePointsKey ( const int  i,
const int  j 
) const
overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 905 of file StdPrismExp.cpp.

907{
908 ASSERTL2(i >= 0 && i <= 4, "face id is out of range");
909 ASSERTL2(j == 0 || j == 1, "face direction is out of range");
910
911 if (i == 0)
912 {
913 return m_base[j]->GetPointsKey();
914 }
915 else if (i == 1 || i == 3)
916 {
917 return m_base[2 * j]->GetPointsKey();
918 }
919 else
920 {
921 return m_base[j + 1]->GetPointsKey();
922 }
923}

References ASSERTL2, and Nektar::StdRegions::StdExpansion::m_base.

◆ v_GetVertexMap()

int Nektar::StdRegions::StdPrismExp::v_GetVertexMap ( int  localVertexId,
bool  useCoeffPacking = false 
)
overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 983 of file StdPrismExp.cpp.

984{
985 ASSERTL1(GetBasisType(0) == LibUtilities::eModified_A ||
986 GetBasisType(1) == LibUtilities::eModified_A ||
987 GetBasisType(2) == LibUtilities::eModified_B,
988 "Mapping not defined for this type of basis");
989
990 int l = 0;
991
992 if (useCoeffPacking == true) // follow packing of coefficients i.e q,r,p
993 {
994 switch (vId)
995 {
996 case 0:
997 l = GetMode(0, 0, 0);
998 break;
999 case 1:
1000 l = GetMode(0, 0, 1);
1001 break;
1002 case 2:
1003 l = GetMode(0, 1, 0);
1004 break;
1005 case 3:
1006 l = GetMode(0, 1, 1);
1007 break;
1008 case 4:
1009 l = GetMode(1, 0, 0);
1010 break;
1011 case 5:
1012 l = GetMode(1, 1, 0);
1013 break;
1014 default:
1015 ASSERTL0(false, "local vertex id must be between 0 and 5");
1016 }
1017 }
1018 else
1019 {
1020 switch (vId)
1021 {
1022 case 0:
1023 l = GetMode(0, 0, 0);
1024 break;
1025 case 1:
1026 l = GetMode(1, 0, 0);
1027 break;
1028 case 2:
1029 l = GetMode(1, 1, 0);
1030 break;
1031 case 3:
1032 l = GetMode(0, 1, 0);
1033 break;
1034 case 4:
1035 l = GetMode(0, 0, 1);
1036 break;
1037 case 5:
1038 l = GetMode(0, 1, 1);
1039 break;
1040 default:
1041 ASSERTL0(false, "local vertex id must be between 0 and 5");
1042 }
1043 }
1044
1045 return l;
1046}

References ASSERTL0, ASSERTL1, Nektar::LibUtilities::eModified_A, Nektar::LibUtilities::eModified_B, Nektar::StdRegions::StdExpansion::GetBasisType(), and GetMode().

◆ v_IProductWRTBase()

void Nektar::StdRegions::StdPrismExp::v_IProductWRTBase ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
overrideprotectedvirtual

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
\(f_{pr} (\xi_{3k}) = \sum_{k=0}^{nq_3} \psi_{pr}^b u(\bar \eta_{1i},\xi_{2j},\xi_{3k}) J_{i,j,k} = {\bf B_3 U} \)
\( g_{q} (\xi_{3k}) = \sum_{j=0}^{nq_1} \psi_{q}^a (\xi_{2j}) f_{pr} (\xi_{3k}) = {\bf B_2 F} \)
\( (\phi_{pqr}, u)_{\delta} = \sum_{k=0}^{nq_0} \psi_{p}^a (\xi_{3k}) g_{q} (\xi_{3k}) = {\bf B_1 G} \)

Implements Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::LocalRegions::PrismExp.

Definition at line 368 of file StdPrismExp.cpp.

370{
371 ASSERTL1((m_base[1]->GetBasisType() != LibUtilities::eOrtho_B) ||
372 (m_base[1]->GetBasisType() != LibUtilities::eModified_B),
373 "Basis[1] is not a general tensor type");
374
375 ASSERTL1((m_base[2]->GetBasisType() != LibUtilities::eOrtho_C) ||
376 (m_base[2]->GetBasisType() != LibUtilities::eModified_C),
377 "Basis[2] is not a general tensor type");
378
379 if (m_base[0]->Collocation() && m_base[1]->Collocation())
380 {
381 MultiplyByQuadratureMetric(inarray, outarray);
382 }
383 else
384 {
385 StdPrismExp::v_IProductWRTBase_SumFac(inarray, outarray);
386 }
387}
Nektar::StdRegions::StdExpansion::MultiplyByQuadratureMetric
void MultiplyByQuadratureMetric(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
Definition: StdExpansion.h:732
Nektar::StdRegions::StdPrismExp::v_IProductWRTBase_SumFac
void v_IProductWRTBase_SumFac(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool multiplybyweights=true) override
Definition: StdPrismExp.cpp:389

References ASSERTL1, Nektar::LibUtilities::eModified_B, Nektar::LibUtilities::eModified_C, Nektar::LibUtilities::eOrtho_B, Nektar::LibUtilities::eOrtho_C, Nektar::StdRegions::StdExpansion::GetBasisType(), Nektar::StdRegions::StdExpansion::m_base, Nektar::StdRegions::StdExpansion::MultiplyByQuadratureMetric(), and v_IProductWRTBase_SumFac().

Referenced by v_FwdTrans().

◆ v_IProductWRTBase_SumFac()

void Nektar::StdRegions::StdPrismExp::v_IProductWRTBase_SumFac ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray,
bool  multiplybyweights = true 
)
overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::LocalRegions::PrismExp.

Definition at line 389 of file StdPrismExp.cpp.

392{
393 int nquad1 = m_base[1]->GetNumPoints();
394 int nquad2 = m_base[2]->GetNumPoints();
395 int order0 = m_base[0]->GetNumModes();
396 int order1 = m_base[1]->GetNumModes();
397
398 Array<OneD, NekDouble> wsp(order0 * nquad2 * (nquad1 + order1));
399
400 if (multiplybyweights)
401 {
402 Array<OneD, NekDouble> tmp(inarray.size());
403
404 MultiplyByQuadratureMetric(inarray, tmp);
405 IProductWRTBase_SumFacKernel(
406 m_base[0]->GetBdata(), m_base[1]->GetBdata(), m_base[2]->GetBdata(),
407 tmp, outarray, wsp, true, true, true);
408 }
409 else
410 {
411 IProductWRTBase_SumFacKernel(
412 m_base[0]->GetBdata(), m_base[1]->GetBdata(), m_base[2]->GetBdata(),
413 inarray, outarray, wsp, true, true, true);
414 }
415}
Nektar::StdRegions::StdExpansion3D::IProductWRTBase_SumFacKernel
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)
Definition: StdExpansion3D.cpp:109

References Nektar::StdRegions::StdExpansion3D::IProductWRTBase_SumFacKernel(), Nektar::StdRegions::StdExpansion::m_base, and Nektar::StdRegions::StdExpansion::MultiplyByQuadratureMetric().

Referenced by v_IProductWRTBase(), and Nektar::StdRegions::StdNodalPrismExp::v_IProductWRTBase_SumFac().

◆ v_IProductWRTBase_SumFacKernel()

void Nektar::StdRegions::StdPrismExp::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 
)
overrideprotectedvirtual

Implements Nektar::StdRegions::StdExpansion3D.

Definition at line 417 of file StdPrismExp.cpp.

426{
427 // Interior prism implementation based on Spen's book page
428 // 119. and 608.
429 const int nquad0 = m_base[0]->GetNumPoints();
430 const int nquad1 = m_base[1]->GetNumPoints();
431 const int nquad2 = m_base[2]->GetNumPoints();
432 const int order0 = m_base[0]->GetNumModes();
433 const int order1 = m_base[1]->GetNumModes();
434 const int order2 = m_base[2]->GetNumModes();
435
436 int i, mode;
437
438 ASSERTL1(wsp.size() >= nquad1 * nquad2 * order0 + nquad2 * order0 * order1,
439 "Insufficient workspace size");
440
441 Array<OneD, NekDouble> tmp0 = wsp;
442 Array<OneD, NekDouble> tmp1 = wsp + nquad1 * nquad2 * order0;
443
444 // Inner product with respect to the '0' direction
445 Blas::Dgemm('T', 'N', nquad1 * nquad2, order0, nquad0, 1.0, inarray.data(),
446 nquad0, base0.data(), nquad0, 0.0, tmp0.data(),
447 nquad1 * nquad2);
448
449 // Inner product with respect to the '1' direction
450 Blas::Dgemm('T', 'N', nquad2 * order0, order1, nquad1, 1.0, tmp0.data(),
451 nquad1, base1.data(), nquad1, 0.0, tmp1.data(),
452 nquad2 * order0);
453
454 // Inner product with respect to the '2' direction
455 for (mode = i = 0; i < order0; ++i)
456 {
457 Blas::Dgemm('T', 'N', order2 - i, order1, nquad2, 1.0,
458 base2.data() + mode * nquad2, nquad2,
459 tmp1.data() + i * nquad2, nquad2 * order0, 0.0,
460 outarray.data() + mode * order1, order2 - i);
461 mode += order2 - i;
462 }
463
464 // Fix top singular vertices; performs phi_{0,q,1} +=
465 // phi_1(xi_1)*phi_q(xi_2)*phi_{01}*phi_r(xi_2).
466 if (m_base[0]->GetBasisType() == LibUtilities::eModified_A)
467 {
468 for (i = 0; i < order1; ++i)
469 {
470 mode = GetMode(0, i, 1);
471 outarray[mode] +=
472 Blas::Ddot(nquad2, base2.data() + nquad2, 1,
473 tmp1.data() + i * order0 * nquad2 + nquad2, 1);
474 }
475 }
476}
Blas::Ddot
static double Ddot(const int &n, const double *x, const int &incx, const double *y, const int &incy)
BLAS level 1: output = .
Definition: Blas.hpp:163

References ASSERTL1, Blas::Ddot(), Blas::Dgemm(), Nektar::LibUtilities::eModified_A, Nektar::StdRegions::StdExpansion::GetBasisType(), GetMode(), and Nektar::StdRegions::StdExpansion::m_base.

◆ v_IProductWRTDerivBase()

void Nektar::StdRegions::StdPrismExp::v_IProductWRTDerivBase ( const int  dir,
const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
overrideprotectedvirtual

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

Reimplemented from Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::LocalRegions::PrismExp.

Definition at line 482 of file StdPrismExp.cpp.

485{
486 v_IProductWRTDerivBase_SumFac(dir, inarray, outarray);
487}
Nektar::StdRegions::StdPrismExp::v_IProductWRTDerivBase_SumFac
void v_IProductWRTDerivBase_SumFac(const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override
Definition: StdPrismExp.cpp:489

References v_IProductWRTDerivBase_SumFac().

◆ v_IProductWRTDerivBase_SumFac()

void Nektar::StdRegions::StdPrismExp::v_IProductWRTDerivBase_SumFac ( const int  dir,
const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::LocalRegions::PrismExp.

Definition at line 489 of file StdPrismExp.cpp.

492{
493 ASSERTL0(dir >= 0 && dir <= 2, "input dir is out of range");
494
495 int i;
496 int order0 = m_base[0]->GetNumModes();
497 int order1 = m_base[1]->GetNumModes();
498 int nquad0 = m_base[0]->GetNumPoints();
499 int nquad1 = m_base[1]->GetNumPoints();
500 int nquad2 = m_base[2]->GetNumPoints();
501
502 const Array<OneD, const NekDouble> &z0 = m_base[0]->GetZ();
503 const Array<OneD, const NekDouble> &z2 = m_base[2]->GetZ();
504 Array<OneD, NekDouble> gfac0(nquad0);
505 Array<OneD, NekDouble> gfac2(nquad2);
506 Array<OneD, NekDouble> tmp0(nquad0 * nquad1 * nquad2);
507 Array<OneD, NekDouble> wsp(order0 * nquad2 * (nquad1 + order1));
508
509 // set up geometric factor: (1+z0)/2
510 for (i = 0; i < nquad0; ++i)
511 {
512 gfac0[i] = 0.5 * (1 + z0[i]);
513 }
514
515 // Set up geometric factor: 2/(1-z2)
516 for (i = 0; i < nquad2; ++i)
517 {
518 gfac2[i] = 2.0 / (1 - z2[i]);
519 }
520
521 // Scale first derivative term by gfac2.
522 if (dir != 1)
523 {
524 for (i = 0; i < nquad2; ++i)
525 {
526 Vmath::Smul(nquad0 * nquad1, gfac2[i],
527 &inarray[0] + i * nquad0 * nquad1, 1,
528 &tmp0[0] + i * nquad0 * nquad1, 1);
529 }
530 MultiplyByQuadratureMetric(tmp0, tmp0);
531 }
532
533 switch (dir)
534 {
535 case 0:
536 {
537 IProductWRTBase_SumFacKernel(
538 m_base[0]->GetDbdata(), m_base[1]->GetBdata(),
539 m_base[2]->GetBdata(), tmp0, outarray, wsp, true, true, true);
540 break;
541 }
542 case 1:
543 {
544 MultiplyByQuadratureMetric(inarray, tmp0);
545 IProductWRTBase_SumFacKernel(
546 m_base[0]->GetBdata(), m_base[1]->GetDbdata(),
547 m_base[2]->GetBdata(), tmp0, outarray, wsp, true, true, true);
548 break;
549 }
550
551 case 2:
552 {
553 Array<OneD, NekDouble> tmp1(m_ncoeffs);
554
555 // Scale eta_1 derivative with gfac0.
556 for (i = 0; i < nquad1 * nquad2; ++i)
557 {
558 Vmath::Vmul(nquad0, &gfac0[0], 1, &tmp0[0] + i * nquad0, 1,
559 &tmp0[0] + i * nquad0, 1);
560 }
561
562 IProductWRTBase_SumFacKernel(
563 m_base[0]->GetDbdata(), m_base[1]->GetBdata(),
564 m_base[2]->GetBdata(), tmp0, tmp1, wsp, true, true, true);
565
566 MultiplyByQuadratureMetric(inarray, tmp0);
567 IProductWRTBase_SumFacKernel(
568 m_base[0]->GetBdata(), m_base[1]->GetBdata(),
569 m_base[2]->GetDbdata(), tmp0, outarray, wsp, true, true, true);
570
571 Vmath::Vadd(m_ncoeffs, &tmp1[0], 1, &outarray[0], 1, &outarray[0],
572 1);
573 break;
574 }
575 }
576}
Vmath::Vmul
void Vmul(int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
Multiply vector z = x*y.
Definition: Vmath.hpp:72
Vmath::Vadd
void Vadd(int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
Add vector z = x+y.
Definition: Vmath.hpp:180

References ASSERTL0, Nektar::StdRegions::StdExpansion3D::IProductWRTBase_SumFacKernel(), Nektar::StdRegions::StdExpansion::m_base, Nektar::StdRegions::StdExpansion::m_ncoeffs, Nektar::StdRegions::StdExpansion::MultiplyByQuadratureMetric(), Vmath::Smul(), Vmath::Vadd(), and Vmath::Vmul().

Referenced by v_IProductWRTDerivBase(), and Nektar::StdRegions::StdNodalPrismExp::v_IProductWRTDerivBase_SumFac().

◆ v_IsBoundaryInteriorExpansion()

bool Nektar::StdRegions::StdPrismExp::v_IsBoundaryInteriorExpansion ( ) const
overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 972 of file StdPrismExp.cpp.

973{
974 return (m_base[0]->GetBasisType() == LibUtilities::eModified_A) &&
975 (m_base[1]->GetBasisType() == LibUtilities::eModified_A) &&
976 (m_base[2]->GetBasisType() == LibUtilities::eModified_B);
977}

References Nektar::LibUtilities::eModified_A, Nektar::LibUtilities::eModified_B, Nektar::StdRegions::StdExpansion::GetBasisType(), and Nektar::StdRegions::StdExpansion::m_base.

◆ v_LocCollapsedToLocCoord()

void Nektar::StdRegions::StdPrismExp::v_LocCollapsedToLocCoord ( const Array< OneD, const NekDouble > &  eta,
Array< OneD, NekDouble > &  xi 
)
overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 602 of file StdPrismExp.cpp.

604{
605 xi[0] = (1.0 + eta[0]) * (1.0 - eta[2]) * 0.5 - 1.0;
606 xi[1] = eta[1];
607 xi[2] = eta[2];
608}

◆ v_LocCoordToLocCollapsed()

void Nektar::StdRegions::StdPrismExp::v_LocCoordToLocCollapsed ( const Array< OneD, const NekDouble > &  xi,
Array< OneD, NekDouble > &  eta 
)
overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 582 of file StdPrismExp.cpp.

584{
585 NekDouble d2 = 1.0 - xi[2];
586 if (fabs(d2) < NekConstants::kNekZeroTol)
587 {
588 if (d2 >= 0.)
589 {
590 d2 = NekConstants::kNekZeroTol;
591 }
592 else
593 {
594 d2 = -NekConstants::kNekZeroTol;
595 }
596 }
597 eta[2] = xi[2]; // eta_z = xi_z
598 eta[1] = xi[1]; // eta_y = xi_y
599 eta[0] = 2.0 * (1.0 + xi[0]) / d2 - 1.0;
600}
Nektar::NekConstants::kNekZeroTol
static const NekDouble kNekZeroTol
Definition: NektarUnivConsts.hpp:49

References Nektar::NekConstants::kNekZeroTol.

◆ v_MultiplyByStdQuadratureMetric()

void Nektar::StdRegions::StdPrismExp::v_MultiplyByStdQuadratureMetric ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 1949 of file StdPrismExp.cpp.

1952{
1953 int i, j;
1954 int nquad0 = m_base[0]->GetNumPoints();
1955 int nquad1 = m_base[1]->GetNumPoints();
1956 int nquad2 = m_base[2]->GetNumPoints();
1957
1958 const Array<OneD, const NekDouble> &w0 = m_base[0]->GetW();
1959 const Array<OneD, const NekDouble> &w1 = m_base[1]->GetW();
1960 const Array<OneD, const NekDouble> &w2 = m_base[2]->GetW();
1961
1962 const Array<OneD, const NekDouble> &z2 = m_base[2]->GetZ();
1963
1964 // Multiply by integration constants in x-direction
1965 for (i = 0; i < nquad1 * nquad2; ++i)
1966 {
1967 Vmath::Vmul(nquad0, inarray.data() + i * nquad0, 1, w0.data(), 1,
1968 outarray.data() + i * nquad0, 1);
1969 }
1970
1971 // Multiply by integration constants in y-direction
1972 for (j = 0; j < nquad2; ++j)
1973 {
1974 for (i = 0; i < nquad1; ++i)
1975 {
1976 Blas::Dscal(nquad0, w1[i],
1977 &outarray[0] + i * nquad0 + j * nquad0 * nquad1, 1);
1978 }
1979 }
1980
1981 // Multiply by integration constants in z-direction; need to
1982 // incorporate factor (1-eta_3)/2 into weights, but only if using
1983 // GLL quadrature points.
1984 switch (m_base[2]->GetPointsType())
1985 {
1986 // (1,0) Jacobi inner product.
1987 case LibUtilities::eGaussRadauMAlpha1Beta0:
1988 for (i = 0; i < nquad2; ++i)
1989 {
1990 Blas::Dscal(nquad0 * nquad1, 0.5 * w2[i],
1991 &outarray[0] + i * nquad0 * nquad1, 1);
1992 }
1993 break;
1994
1995 default:
1996 for (i = 0; i < nquad2; ++i)
1997 {
1998 Blas::Dscal(nquad0 * nquad1, 0.5 * (1 - z2[i]) * w2[i],
1999 &outarray[0] + i * nquad0 * nquad1, 1);
2000 }
2001 break;
2002 }
2003}
Nektar::StdRegions::StdExpansion::GetPointsType
LibUtilities::PointsType GetPointsType(const int dir) const
This function returns the type of quadrature points used in the dir direction.
Definition: StdExpansion.h:205
Blas::Dscal
static void Dscal(const int &n, const double &alpha, double *x, const int &incx)
BLAS level 1: x = alpha x.
Definition: Blas.hpp:149

References Blas::Dscal(), Nektar::StdRegions::StdExpansion::GetPointsType(), Nektar::StdRegions::StdExpansion::m_base, and Vmath::Vmul().

◆ v_NumBndryCoeffs()

int Nektar::StdRegions::StdPrismExp::v_NumBndryCoeffs ( ) const
overrideprotectedvirtual

Implements Nektar::StdRegions::StdExpansion.

Definition at line 807 of file StdPrismExp.cpp.

808{
809 ASSERTL1(GetBasisType(0) == LibUtilities::eModified_A ||
810 GetBasisType(0) == LibUtilities::eGLL_Lagrange,
811 "BasisType is not a boundary interior form");
812 ASSERTL1(GetBasisType(1) == LibUtilities::eModified_A ||
813 GetBasisType(1) == LibUtilities::eGLL_Lagrange,
814 "BasisType is not a boundary interior form");
815 ASSERTL1(GetBasisType(2) == LibUtilities::eModified_B ||
816 GetBasisType(2) == LibUtilities::eGLL_Lagrange,
817 "BasisType is not a boundary interior form");
818
819 int P = m_base[0]->GetNumModes();
820 int Q = m_base[1]->GetNumModes();
821 int R = m_base[2]->GetNumModes();
822
823 return LibUtilities::StdPrismData::getNumberOfBndCoefficients(P, Q, R);
824}
Nektar::LibUtilities::StdPrismData::getNumberOfBndCoefficients
int getNumberOfBndCoefficients(int Na, int Nb, int Nc)
Definition: ShapeType.hpp:290

References ASSERTL1, Nektar::LibUtilities::eGLL_Lagrange, Nektar::LibUtilities::eModified_A, Nektar::LibUtilities::eModified_B, Nektar::StdRegions::StdExpansion::GetBasisType(), Nektar::LibUtilities::StdPrismData::getNumberOfBndCoefficients(), Nektar::StdRegions::StdExpansion::m_base, and Nektar::LibUtilities::P.

◆ v_NumDGBndryCoeffs()

int Nektar::StdRegions::StdPrismExp::v_NumDGBndryCoeffs ( ) const
overrideprotectedvirtual

Implements Nektar::StdRegions::StdExpansion.

Definition at line 826 of file StdPrismExp.cpp.

827{
828 ASSERTL1(GetBasisType(0) == LibUtilities::eModified_A ||
829 GetBasisType(0) == LibUtilities::eGLL_Lagrange,
830 "BasisType is not a boundary interior form");
831 ASSERTL1(GetBasisType(1) == LibUtilities::eModified_A ||
832 GetBasisType(1) == LibUtilities::eGLL_Lagrange,
833 "BasisType is not a boundary interior form");
834 ASSERTL1(GetBasisType(2) == LibUtilities::eModified_B ||
835 GetBasisType(2) == LibUtilities::eGLL_Lagrange,
836 "BasisType is not a boundary interior form");
837
838 int P = m_base[0]->GetNumModes() - 1;
839 int Q = m_base[1]->GetNumModes() - 1;
840 int R = m_base[2]->GetNumModes() - 1;
841
842 return (P + 1) * (Q + 1) // 1 rect. face on base
843 + 2 * (Q + 1) * (R + 1) // other 2 rect. faces
844 + 2 * (R + 1) + P * (1 + 2 * R - P); // 2 tri. faces
845}

References ASSERTL1, Nektar::LibUtilities::eGLL_Lagrange, Nektar::LibUtilities::eModified_A, Nektar::LibUtilities::eModified_B, Nektar::StdRegions::StdExpansion::GetBasisType(), Nektar::StdRegions::StdExpansion::m_base, and Nektar::LibUtilities::P.

◆ v_PhysDeriv() [1/2]

void Nektar::StdRegions::StdPrismExp::v_PhysDeriv ( const Array< OneD, const NekDouble > &  u_physical,
Array< OneD, NekDouble > &  out_dxi1,
Array< OneD, NekDouble > &  out_dxi2,
Array< OneD, NekDouble > &  out_dxi3 
)
overrideprotectedvirtual

Calculate the derivative of the physical points.

The derivative is evaluated at the nodal physical points. Derivatives with respect to the local Cartesian coordinates.

\(\begin{Bmatrix} \frac {\partial} {\partial \xi_1} \\ \frac {\partial} {\partial \xi_2} \\ \frac {\partial} {\partial \xi_3} \end{Bmatrix} = \begin{Bmatrix} \frac 2 {(1-\eta_3)} \frac \partial {\partial \bar \eta_1} \\ \frac {\partial} {\partial \xi_2} \ \ \frac {(1 + \bar \eta_1)} {(1 - \eta_3)} \frac \partial {\partial \bar \eta_1} + \frac {\partial} {\partial \eta_3} \end{Bmatrix}\)

Reimplemented from Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::LocalRegions::PrismExp.

Definition at line 75 of file StdPrismExp.cpp.

79{
80 int Qx = m_base[0]->GetNumPoints();
81 int Qy = m_base[1]->GetNumPoints();
82 int Qz = m_base[2]->GetNumPoints();
83 int Qtot = Qx * Qy * Qz;
84
85 Array<OneD, NekDouble> dEta_bar1(Qtot, 0.0);
86
87 Array<OneD, const NekDouble> eta_x, eta_z;
88 eta_x = m_base[0]->GetZ();
89 eta_z = m_base[2]->GetZ();
90
91 int i, k;
92
93 bool Do_1 = (out_dxi1.size() > 0) ? true : false;
94 bool Do_3 = (out_dxi3.size() > 0) ? true : false;
95
96 // out_dXi2 is just a tensor derivative so is just passed through
97 if (Do_3)
98 {
99 PhysTensorDeriv(u_physical, dEta_bar1, out_dxi2, out_dxi3);
100 }
101 else if (Do_1)
102 {
103 PhysTensorDeriv(u_physical, dEta_bar1, out_dxi2, NullNekDouble1DArray);
104 }
105 else // case if just require 2nd direction
106 {
107 PhysTensorDeriv(u_physical, NullNekDouble1DArray, out_dxi2,
108 NullNekDouble1DArray);
109 }
110
111 if (Do_1)
112 {
113 for (k = 0; k < Qz; ++k)
114 {
115 Vmath::Smul(Qx * Qy, 2.0 / (1.0 - eta_z[k]),
116 &dEta_bar1[0] + k * Qx * Qy, 1,
117 &out_dxi1[0] + k * Qx * Qy, 1);
118 }
119 }
120
121 if (Do_3)
122 {
123 // divide dEta_Bar1 by (1-eta_z)
124 for (k = 0; k < Qz; ++k)
125 {
126 Vmath::Smul(Qx * Qy, 1.0 / (1.0 - eta_z[k]),
127 &dEta_bar1[0] + k * Qx * Qy, 1,
128 &dEta_bar1[0] + k * Qx * Qy, 1);
129 }
130
131 // Multiply dEta_Bar1 by (1+eta_x) and add ot out_dxi3
132 for (i = 0; i < Qx; ++i)
133 {
134 Vmath::Svtvp(Qz * Qy, 1.0 + eta_x[i], &dEta_bar1[0] + i, Qx,
135 &out_dxi3[0] + i, Qx, &out_dxi3[0] + i, Qx);
136 }
137 }
138}
Nektar::StdRegions::StdExpansion3D::PhysTensorDeriv
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.
Definition: StdExpansion3D.cpp:55
Nektar::NullNekDouble1DArray
static Array< OneD, NekDouble > NullNekDouble1DArray
Definition: BasicUtils/SharedArray.hpp:919
Vmath::Svtvp
void Svtvp(int n, const T alpha, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
Svtvp (scalar times vector plus vector): z = alpha*x + y.
Definition: Vmath.hpp:396

References Nektar::StdRegions::StdExpansion::m_base, Nektar::NullNekDouble1DArray, Nektar::StdRegions::StdExpansion3D::PhysTensorDeriv(), Vmath::Smul(), and Vmath::Svtvp().

Referenced by v_PhysDeriv(), and v_StdPhysDeriv().

◆ v_PhysDeriv() [2/2]

void Nektar::StdRegions::StdPrismExp::v_PhysDeriv ( const int  dir,
const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  out_d0 
)
overrideprotectedvirtual

Calculate the derivative of the physical points in a given direction.

See also
StdRegions::StdExpansion::PhysDeriv

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 140 of file StdPrismExp.cpp.

143{
144 switch (dir)
145 {
146 case 0:
147 {
148 v_PhysDeriv(inarray, outarray, NullNekDouble1DArray,
149 NullNekDouble1DArray);
150 break;
151 }
152
153 case 1:
154 {
155 v_PhysDeriv(inarray, NullNekDouble1DArray, outarray,
156 NullNekDouble1DArray);
157 break;
158 }
159
160 case 2:
161 {
162 v_PhysDeriv(inarray, NullNekDouble1DArray, NullNekDouble1DArray,
163 outarray);
164 break;
165 }
166
167 default:
168 {
169 ASSERTL1(false, "input dir is out of range");
170 }
171 break;
172 }
173}
Nektar::StdRegions::StdPrismExp::v_PhysDeriv
void v_PhysDeriv(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1, Array< OneD, NekDouble > &out_d2) override
Calculate the derivative of the physical points.
Definition: StdPrismExp.cpp:75

References ASSERTL1, Nektar::NullNekDouble1DArray, and v_PhysDeriv().

◆ v_PhysEvalFirstDeriv()

NekDouble Nektar::StdRegions::StdPrismExp::v_PhysEvalFirstDeriv ( const Array< OneD, NekDouble > &  coord,
const Array< OneD, const NekDouble > &  inarray,
std::array< NekDouble, 3 > &  firstOrderDerivs 
)
overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::LocalRegions::PrismExp.

Definition at line 668 of file StdPrismExp.cpp.

672{
673 // Collapse coordinates
674 Array<OneD, NekDouble> coll(3, 0.0);
675 LocCoordToLocCollapsed(coord, coll);
676
677 // If near singularity do the old interpolation matrix method
678 // @TODO: Dave thinks there might be a way in the Barycentric to
679 // mathematically remove this singularity?
680 if ((1 - coll[2]) < 1e-5)
681 {
682 int totPoints = GetTotPoints();
683 Array<OneD, NekDouble> EphysDeriv0(totPoints), EphysDeriv1(totPoints),
684 EphysDeriv2(totPoints);
685 PhysDeriv(inarray, EphysDeriv0, EphysDeriv1, EphysDeriv2);
686
687 Array<OneD, DNekMatSharedPtr> I(3);
688 I[0] = GetBase()[0]->GetI(coll);
689 I[1] = GetBase()[1]->GetI(coll + 1);
690 I[2] = GetBase()[2]->GetI(coll + 2);
691
692 firstOrderDerivs[0] = PhysEvaluate(I, EphysDeriv0);
693 firstOrderDerivs[1] = PhysEvaluate(I, EphysDeriv1);
694 firstOrderDerivs[2] = PhysEvaluate(I, EphysDeriv2);
695 return PhysEvaluate(I, inarray);
696 }
697
698 NekDouble val = BaryTensorDeriv(coll, inarray, firstOrderDerivs);
699
700 NekDouble dEta_bar1 = firstOrderDerivs[0];
701
702 NekDouble fac = 2.0 / (1.0 - coll[2]);
703 firstOrderDerivs[0] = fac * dEta_bar1;
704
705 // divide dEta_Bar1 by (1-eta_z)
706 fac = 1.0 / (1.0 - coll[2]);
707 dEta_bar1 = fac * dEta_bar1;
708
709 // Multiply dEta_Bar1 by (1+eta_x) and add ot out_dxi3
710 fac = 1.0 + coll[0];
711 firstOrderDerivs[2] += fac * dEta_bar1;
712
713 return val;
714}
Nektar::StdRegions::StdExpansion3D::BaryTensorDeriv
NekDouble BaryTensorDeriv(const Array< OneD, NekDouble > &coord, const Array< OneD, const NekDouble > &inarray, std::array< NekDouble, 3 > &firstOrderDerivs)
Definition: StdExpansion3D.h:223
Nektar::StdRegions::StdExpansion::GetTotPoints
int GetTotPoints() const
This function returns the total number of quadrature points used in the element.
Definition: StdExpansion.h:134
Nektar::StdRegions::StdExpansion::GetBase
const Array< OneD, const LibUtilities::BasisSharedPtr > & GetBase() const
This function gets the shared point to basis.
Definition: StdExpansion.h:100
Nektar::StdRegions::StdExpansion::PhysEvaluate
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.
Definition: StdExpansion.h:928
Nektar::StdRegions::StdExpansion::PhysDeriv
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)
Definition: StdExpansion.h:858

References Nektar::StdRegions::StdExpansion3D::BaryTensorDeriv(), Nektar::StdRegions::StdExpansion::GetBase(), Nektar::StdRegions::StdExpansion::GetTotPoints(), Nektar::StdRegions::StdExpansion::LocCoordToLocCollapsed(), Nektar::StdRegions::StdExpansion::PhysDeriv(), and Nektar::StdRegions::StdExpansion::PhysEvaluate().

◆ v_PhysEvaluateBasis()

NekDouble Nektar::StdRegions::StdPrismExp::v_PhysEvaluateBasis ( const Array< OneD, const NekDouble > &  coords,
int  mode 
)
finalprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 637 of file StdPrismExp.cpp.

639{
640 Array<OneD, NekDouble> coll(3);
641 LocCoordToLocCollapsed(coords, coll);
642
643 const int nm1 = m_base[1]->GetNumModes();
644 const int nm2 = m_base[2]->GetNumModes();
645 const int b = 2 * nm2 + 1;
646
647 const int mode0 = floor(0.5 * (b - sqrt(b * b - 8.0 * mode / nm1)));
648 const int tmp =
649 mode - nm1 * (mode0 * (nm2 - 1) + 1 - (mode0 - 2) * (mode0 - 1) / 2);
650 const int mode1 = tmp / (nm2 - mode0);
651 const int mode2 = tmp % (nm2 - mode0);
652
653 if (mode0 == 0 && mode2 == 1 &&
654 m_base[0]->GetBasisType() == LibUtilities::eModified_A)
655 {
656 // handle collapsed top edge to remove mode0 terms
657 return StdExpansion::BaryEvaluateBasis<1>(coll[1], mode1) *
658 StdExpansion::BaryEvaluateBasis<2>(coll[2], mode2);
659 }
660 else
661 {
662 return StdExpansion::BaryEvaluateBasis<0>(coll[0], mode0) *
663 StdExpansion::BaryEvaluateBasis<1>(coll[1], mode1) *
664 StdExpansion::BaryEvaluateBasis<2>(coll[2], mode2);
665 }
666}
tinysimd::sqrt
scalarT< T > sqrt(scalarT< T > in)
Definition: scalar.hpp:285

References Nektar::LibUtilities::eModified_A, Nektar::StdRegions::StdExpansion::GetBasisType(), Nektar::StdRegions::StdExpansion::LocCoordToLocCollapsed(), Nektar::StdRegions::StdExpansion::m_base, and tinysimd::sqrt().

◆ v_ReduceOrderCoeffs()

void Nektar::StdRegions::StdPrismExp::v_ReduceOrderCoeffs ( int  numMin,
const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 2143 of file StdPrismExp.cpp.

2146{
2147 int nquad0 = m_base[0]->GetNumPoints();
2148 int nquad1 = m_base[1]->GetNumPoints();
2149 int nquad2 = m_base[2]->GetNumPoints();
2150 int nqtot = nquad0 * nquad1 * nquad2;
2151 int nmodes0 = m_base[0]->GetNumModes();
2152 int nmodes1 = m_base[1]->GetNumModes();
2153 int nmodes2 = m_base[2]->GetNumModes();
2154 int numMax = nmodes0;
2155
2156 Array<OneD, NekDouble> coeff(m_ncoeffs);
2157 Array<OneD, NekDouble> coeff_tmp1(m_ncoeffs, 0.0);
2158 Array<OneD, NekDouble> phys_tmp(nqtot, 0.0);
2159 Array<OneD, NekDouble> tmp, tmp2, tmp3, tmp4;
2160
2161 const LibUtilities::PointsKey Pkey0 = m_base[0]->GetPointsKey();
2162 const LibUtilities::PointsKey Pkey1 = m_base[1]->GetPointsKey();
2163 const LibUtilities::PointsKey Pkey2 = m_base[2]->GetPointsKey();
2164
2165 LibUtilities::BasisKey bortho0(LibUtilities::eOrtho_A, nmodes0, Pkey0);
2166 LibUtilities::BasisKey bortho1(LibUtilities::eOrtho_A, nmodes1, Pkey1);
2167 LibUtilities::BasisKey bortho2(LibUtilities::eOrtho_B, nmodes2, Pkey2);
2168
2169 int cnt = 0;
2170 int u = 0;
2171 int i = 0;
2172 StdRegions::StdPrismExpSharedPtr OrthoPrismExp;
2173
2174 OrthoPrismExp = MemoryManager<StdRegions::StdPrismExp>::AllocateSharedPtr(
2175 bortho0, bortho1, bortho2);
2176
2177 BwdTrans(inarray, phys_tmp);
2178 OrthoPrismExp->FwdTrans(phys_tmp, coeff);
2179
2180 // filtering
2181 for (u = 0; u < numMin; ++u)
2182 {
2183 for (i = 0; i < numMin; ++i)
2184 {
2185 Vmath::Vcopy(numMin - u, tmp = coeff + cnt, 1,
2186 tmp2 = coeff_tmp1 + cnt, 1);
2187 cnt += numMax - u;
2188 }
2189
2190 for (i = numMin; i < numMax; ++i)
2191 {
2192 cnt += numMax - u;
2193 }
2194 }
2195
2196 OrthoPrismExp->BwdTrans(coeff_tmp1, phys_tmp);
2197 StdPrismExp::FwdTrans(phys_tmp, outarray);
2198}
Nektar::StdRegions::StdExpansion::BwdTrans
void BwdTrans(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
This function performs the Backward transformation from coefficient space to physical space.
Definition: StdExpansion.h:433
Nektar::StdRegions::StdExpansion::FwdTrans
void FwdTrans(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
This function performs the Forward transformation from physical space to coefficient space.
Definition: StdExpansion.h:1825
Nektar::LibUtilities::eOrtho_A
@ eOrtho_A
Principle Orthogonal Functions .
Definition: BasisType.h:42
Nektar::StdRegions::StdPrismExpSharedPtr
std::shared_ptr< StdPrismExp > StdPrismExpSharedPtr
Definition: StdPrismExp.h:218

References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), Nektar::StdRegions::StdExpansion::BwdTrans(), Nektar::LibUtilities::eOrtho_A, Nektar::LibUtilities::eOrtho_B, Nektar::StdRegions::StdExpansion::FwdTrans(), Nektar::StdRegions::StdExpansion::m_base, Nektar::StdRegions::StdExpansion::m_ncoeffs, and Vmath::Vcopy().

◆ v_StdPhysDeriv() [1/2]

void Nektar::StdRegions::StdPrismExp::v_StdPhysDeriv ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  out_d0,
Array< OneD, NekDouble > &  out_d1,
Array< OneD, NekDouble > &  out_d2 
)
overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 175 of file StdPrismExp.cpp.

179{
180 StdPrismExp::v_PhysDeriv(inarray, out_d0, out_d1, out_d2);
181}

References v_PhysDeriv().

◆ v_StdPhysDeriv() [2/2]

void Nektar::StdRegions::StdPrismExp::v_StdPhysDeriv ( const int  dir,
const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 183 of file StdPrismExp.cpp.

186{
187 StdPrismExp::v_PhysDeriv(dir, inarray, outarray);
188}

References v_PhysDeriv().

◆ v_SVVLaplacianFilter()

void Nektar::StdRegions::StdPrismExp::v_SVVLaplacianFilter ( Array< OneD, NekDouble > &  array,
const StdMatrixKey &  mkey 
)
overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::LocalRegions::PrismExp.

Definition at line 2005 of file StdPrismExp.cpp.

2007{
2008 // Generate an orthonogal expansion
2009 int qa = m_base[0]->GetNumPoints();
2010 int qb = m_base[1]->GetNumPoints();
2011 int qc = m_base[2]->GetNumPoints();
2012 int nmodes_a = m_base[0]->GetNumModes();
2013 int nmodes_b = m_base[1]->GetNumModes();
2014 int nmodes_c = m_base[2]->GetNumModes();
2015 // Declare orthogonal basis.
2016 LibUtilities::PointsKey pa(qa, m_base[0]->GetPointsType());
2017 LibUtilities::PointsKey pb(qb, m_base[1]->GetPointsType());
2018 LibUtilities::PointsKey pc(qc, m_base[2]->GetPointsType());
2019
2020 LibUtilities::BasisKey Ba(LibUtilities::eOrtho_A, nmodes_a, pa);
2021 LibUtilities::BasisKey Bb(LibUtilities::eOrtho_A, nmodes_b, pb);
2022 LibUtilities::BasisKey Bc(LibUtilities::eOrtho_B, nmodes_c, pc);
2023 StdPrismExp OrthoExp(Ba, Bb, Bc);
2024
2025 Array<OneD, NekDouble> orthocoeffs(OrthoExp.GetNcoeffs());
2026 int i, j, k, cnt = 0;
2027
2028 // project onto modal space.
2029 OrthoExp.FwdTrans(array, orthocoeffs);
2030
2031 if (mkey.ConstFactorExists(eFactorSVVPowerKerDiffCoeff))
2032 {
2033 // Rodrigo's power kernel
2034 NekDouble cutoff = mkey.GetConstFactor(eFactorSVVCutoffRatio);
2035 NekDouble SvvDiffCoeff =
2036 mkey.GetConstFactor(eFactorSVVPowerKerDiffCoeff) *
2037 mkey.GetConstFactor(eFactorSVVDiffCoeff);
2038
2039 for (i = 0; i < nmodes_a; ++i)
2040 {
2041 for (j = 0; j < nmodes_b; ++j)
2042 {
2043 NekDouble fac1 = std::max(
2044 pow((1.0 * i) / (nmodes_a - 1), cutoff * nmodes_a),
2045 pow((1.0 * j) / (nmodes_b - 1), cutoff * nmodes_b));
2046
2047 for (k = 0; k < nmodes_c - i; ++k)
2048 {
2049 NekDouble fac =
2050 std::max(fac1, pow((1.0 * k) / (nmodes_c - 1),
2051 cutoff * nmodes_c));
2052
2053 orthocoeffs[cnt] *= SvvDiffCoeff * fac;
2054 cnt++;
2055 }
2056 }
2057 }
2058 }
2059 else if (mkey.ConstFactorExists(
2060 eFactorSVVDGKerDiffCoeff)) // Rodrigo/Mansoor's DG Kernel
2061 {
2062 NekDouble SvvDiffCoeff = mkey.GetConstFactor(eFactorSVVDGKerDiffCoeff) *
2063 mkey.GetConstFactor(eFactorSVVDiffCoeff);
2064
2065 int max_abc = max(nmodes_a - kSVVDGFiltermodesmin,
2066 nmodes_b - kSVVDGFiltermodesmin);
2067 max_abc = max(max_abc, nmodes_c - kSVVDGFiltermodesmin);
2068 // clamp max_abc
2069 max_abc = max(max_abc, 0);
2070 max_abc = min(max_abc, kSVVDGFiltermodesmax - kSVVDGFiltermodesmin);
2071
2072 for (i = 0; i < nmodes_a; ++i)
2073 {
2074 for (j = 0; j < nmodes_b; ++j)
2075 {
2076 int maxij = max(i, j);
2077
2078 for (k = 0; k < nmodes_c - i; ++k)
2079 {
2080 int maxijk = max(maxij, k);
2081 maxijk = min(maxijk, kSVVDGFiltermodesmax - 1);
2082
2083 orthocoeffs[cnt] *=
2084 SvvDiffCoeff * kSVVDGFilter[max_abc][maxijk];
2085 cnt++;
2086 }
2087 }
2088 }
2089 }
2090 else
2091 {
2092 // SVV filter paramaters (how much added diffusion relative
2093 // to physical one and fraction of modes from which you
2094 // start applying this added diffusion)
2095 //
2096 NekDouble SvvDiffCoeff =
2097 mkey.GetConstFactor(StdRegions::eFactorSVVDiffCoeff);
2098 NekDouble SVVCutOff =
2099 mkey.GetConstFactor(StdRegions::eFactorSVVCutoffRatio);
2100
2101 // Defining the cut of mode
2102 int cutoff_a = (int)(SVVCutOff * nmodes_a);
2103 int cutoff_b = (int)(SVVCutOff * nmodes_b);
2104 int cutoff_c = (int)(SVVCutOff * nmodes_c);
2105 // To avoid the fac[j] from blowing up
2106 NekDouble epsilon = 1;
2107
2108 int nmodes = min(min(nmodes_a, nmodes_b), nmodes_c);
2109 NekDouble cutoff = min(min(cutoff_a, cutoff_b), cutoff_c);
2110
2111 //------"New" Version August 22nd '13--------------------
2112 for (i = 0; i < nmodes_a; ++i) // P
2113 {
2114 for (j = 0; j < nmodes_b; ++j) // Q
2115 {
2116 for (k = 0; k < nmodes_c - i; ++k) // R
2117 {
2118 if (j >= cutoff || i + k >= cutoff)
2119 {
2120 orthocoeffs[cnt] *=
2121 (SvvDiffCoeff *
2122 exp(-(i + k - nmodes) * (i + k - nmodes) /
2123 ((NekDouble)((i + k - cutoff + epsilon) *
2124 (i + k - cutoff + epsilon)))) *
2125 exp(-(j - nmodes) * (j - nmodes) /
2126 ((NekDouble)((j - cutoff + epsilon) *
2127 (j - cutoff + epsilon)))));
2128 }
2129 else
2130 {
2131 orthocoeffs[cnt] *= 0.0;
2132 }
2133 cnt++;
2134 }
2135 }
2136 }
2137 }
2138
2139 // backward transform to physical space
2140 OrthoExp.BwdTrans(orthocoeffs, array);
2141}
Nektar::StdRegions::StdPrismExp::StdPrismExp
StdPrismExp(const LibUtilities::BasisKey &Ba, const LibUtilities::BasisKey &Bb, const LibUtilities::BasisKey &Bc)
Definition: StdPrismExp.cpp:43
Nektar::StdRegions::kSVVDGFiltermodesmin
const int kSVVDGFiltermodesmin
Definition: StdRegions.hpp:500
Nektar::StdRegions::kSVVDGFiltermodesmax
const int kSVVDGFiltermodesmax
Definition: StdRegions.hpp:501
Nektar::StdRegions::kSVVDGFilter
const NekDouble kSVVDGFilter[9][11]
Definition: StdRegions.hpp:503

References Nektar::StdRegions::StdExpansion::BwdTrans(), Nektar::StdRegions::StdMatrixKey::ConstFactorExists(), Nektar::StdRegions::eFactorSVVCutoffRatio, Nektar::StdRegions::eFactorSVVDGKerDiffCoeff, Nektar::StdRegions::eFactorSVVDiffCoeff, Nektar::StdRegions::eFactorSVVPowerKerDiffCoeff, Nektar::LibUtilities::eOrtho_A, Nektar::LibUtilities::eOrtho_B, Nektar::StdRegions::StdExpansion::FwdTrans(), Nektar::StdRegions::StdMatrixKey::GetConstFactor(), Nektar::StdRegions::StdExpansion::GetNcoeffs(), Nektar::StdRegions::StdExpansion::GetPointsType(), Nektar::StdRegions::kSVVDGFilter, Nektar::StdRegions::kSVVDGFiltermodesmax, Nektar::StdRegions::kSVVDGFiltermodesmin, and Nektar::StdRegions::StdExpansion::m_base.

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