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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 ()
 
 StdPrismExp (const LibUtilities::BasisKey &Ba, const LibUtilities::BasisKey &Bb, const LibUtilities::BasisKey &Bc)
 
 StdPrismExp (const LibUtilities::BasisKey &Ba, const LibUtilities::BasisKey &Bb, const LibUtilities::BasisKey &Bc, NekDouble *coeffs, NekDouble *phys)
 
 StdPrismExp (const StdPrismExp &T)
 
 ~StdPrismExp ()
 
- Public Member Functions inherited from Nektar::StdRegions::StdExpansion3D
 StdExpansion3D ()
 
 StdExpansion3D (int numcoeffs, const LibUtilities::BasisKey &Ba, const LibUtilities::BasisKey &Bb, const LibUtilities::BasisKey &Bc)
 
 StdExpansion3D (const StdExpansion3D &T)
 
virtual ~StdExpansion3D ()
 
void PhysTensorDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray_d1, Array< OneD, NekDouble > &outarray_d2, Array< OneD, NekDouble > &outarray_d3)
 Calculate the 3D derivative in the local tensor/collapsed coordinate at the physical points. More...
 
void BwdTrans_SumFacKernel (const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &base2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0, bool doCheckCollDir1, bool doCheckCollDir2)
 
void IProductWRTBase_SumFacKernel (const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &base2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0, bool doCheckCollDir1, bool doCheckCollDir2)
 
- Public Member Functions inherited from Nektar::StdRegions::StdExpansion
 StdExpansion ()
 Default Constructor. More...
 
 StdExpansion (const int numcoeffs, const int numbases, const LibUtilities::BasisKey &Ba=LibUtilities::NullBasisKey, const LibUtilities::BasisKey &Bb=LibUtilities::NullBasisKey, const LibUtilities::BasisKey &Bc=LibUtilities::NullBasisKey)
 Constructor. More...
 
 StdExpansion (const StdExpansion &T)
 Copy Constructor. More...
 
virtual ~StdExpansion ()
 Destructor. More...
 
int GetNumBases () const
 This function returns the number of 1D bases used in the expansion. More...
 
const Array< OneD, const
LibUtilities::BasisSharedPtr > & 		GetBase () const
 This function gets the shared point to basis. More...
 
const
LibUtilities::BasisSharedPtr & 		GetBasis (int dir) const
 This function gets the shared point to basis in the dir direction. More...
 
int GetNcoeffs (void) const
 This function returns the total number of coefficients used in the expansion. More...
 
int GetTotPoints () const
 This function returns the total number of quadrature points used in the element. More...
 
LibUtilities::BasisType GetBasisType (const int dir) const
 This function returns the type of basis used in the dir direction. More...
 
int GetBasisNumModes (const int dir) const
 This function returns the number of expansion modes in the dir direction. More...
 
int EvalBasisNumModesMax (void) const
 This function returns the maximum number of expansion modes over all local directions. More...
 
LibUtilities::PointsType GetPointsType (const int dir) const
 This function returns the type of quadrature points used in the dir direction. More...
 
int GetNumPoints (const int dir) const
 This function returns the number of quadrature points in the dir direction. More...
 
const Array< OneD, const
NekDouble > & 		GetPoints (const int dir) const
 This function returns a pointer to the array containing the quadrature points in dir direction. More...
 
int GetNverts () const
 This function returns the number of vertices of the expansion domain. More...
 
int GetNedges () const
 This function returns the number of edges of the expansion domain. More...
 
int GetEdgeNcoeffs (const int i) const
 This function returns the number of expansion coefficients belonging to the i-th edge. More...
 
int GetTotalEdgeIntNcoeffs () const
 
int GetEdgeNumPoints (const int i) const
 This function returns the number of quadrature points belonging to the i-th edge. More...
 
int DetCartesianDirOfEdge (const int edge)
 
const LibUtilities::BasisKey DetEdgeBasisKey (const int i) const
 
const LibUtilities::BasisKey DetFaceBasisKey (const int i, const int k) const
 
int GetFaceNumPoints (const int i) const
 This function returns the number of quadrature points belonging to the i-th face. More...
 
int GetFaceNcoeffs (const int i) const
 This function returns the number of expansion coefficients belonging to the i-th face. More...
 
int GetFaceIntNcoeffs (const int i) const
 
int GetTotalFaceIntNcoeffs () const
 
int GetTraceNcoeffs (const int i) const
 This function returns the number of expansion coefficients belonging to the i-th edge/face. More...
 
LibUtilities::PointsKey GetFacePointsKey (const int i, const int j) const
 
int NumBndryCoeffs (void) const
 
int NumDGBndryCoeffs (void) const
 
LibUtilities::BasisType GetEdgeBasisType (const int i) const
 This function returns the type of expansion basis on the i-th edge. More...
 
const LibUtilities::PointsKey GetNodalPointsKey () const
 This function returns the type of expansion Nodal point type if defined. More...
 
int GetNfaces () const
 This function returns the number of faces of the expansion domain. More...
 
int GetNtrace () const
 Returns the number of trace elements connected to this element. More...
 
LibUtilities::ShapeType DetShapeType () const
 This function returns the shape of the expansion domain. More...
 
boost::shared_ptr< StdExpansion > GetStdExp (void) const
 
int GetShapeDimension () const
 
bool IsBoundaryInteriorExpansion ()
 
bool IsNodalNonTensorialExp ()
 
void BwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 This function performs the Backward transformation from coefficient space to physical space. More...
 
void FwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 This function performs the Forward transformation from physical space to coefficient space. More...
 
void FwdTrans_BndConstrained (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
NekDouble Integral (const Array< OneD, const NekDouble > &inarray)
 This function integrates the specified function over the domain. More...
 
void FillMode (const int mode, Array< OneD, NekDouble > &outarray)
 This function fills the array outarray with the mode-th mode of the expansion. More...
 
void IProductWRTBase (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 this function calculates the inner product of a given function f with the different modes of the expansion More...
 
void IProductWRTBase (const Array< OneD, const NekDouble > &base, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, int coll_check)
 
void IProductWRTDerivBase (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
int GetElmtId ()
 Get the element id of this expansion when used in a list by returning value of m_elmt_id. More...
 
void SetElmtId (const int id)
 Set the element id of this expansion when used in a list by returning value of m_elmt_id. More...
 
void GetCoords (Array< OneD, NekDouble > &coords_1, Array< OneD, NekDouble > &coords_2=NullNekDouble1DArray, Array< OneD, NekDouble > &coords_3=NullNekDouble1DArray)
 this function returns the physical coordinates of the quadrature points of the expansion More...
 
void GetCoord (const Array< OneD, const NekDouble > &Lcoord, Array< OneD, NekDouble > &coord)
 given the coordinates of a point of the element in the local collapsed coordinate system, this function calculates the physical coordinates of the point More...
 
DNekMatSharedPtr GetStdMatrix (const StdMatrixKey &mkey)
 
DNekBlkMatSharedPtr GetStdStaticCondMatrix (const StdMatrixKey &mkey)
 
IndexMapValuesSharedPtr GetIndexMap (const IndexMapKey &ikey)
 
const Array< OneD, const
NekDouble > & 		GetPhysNormals (void)
 
void SetPhysNormals (Array< OneD, const NekDouble > &normal)
 
virtual void SetUpPhysNormals (const int edge)
 
void NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, Array< OneD, NekDouble > &outarray)
 
void NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, const Array< OneD, NekDouble > &Fy, Array< OneD, NekDouble > &outarray)
 
void NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, const Array< OneD, const NekDouble > &Fz, Array< OneD, NekDouble > &outarray)
 
void NormVectorIProductWRTBase (const Array< OneD, const Array< OneD, NekDouble > > &Fvec, Array< OneD, NekDouble > &outarray)
 
DNekScalBlkMatSharedPtr GetLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey)
 
void DropLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey)
 
StdRegions::Orientation GetForient (int face)
 
StdRegions::Orientation GetEorient (int edge)
 
StdRegions::Orientation GetPorient (int point)
 
StdRegions::Orientation GetCartesianEorient (int edge)
 
void SetCoeffsToOrientation (Array< OneD, NekDouble > &coeffs, StdRegions::Orientation dir)
 
void SetCoeffsToOrientation (StdRegions::Orientation dir, Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
int CalcNumberOfCoefficients (const std::vector< unsigned int > &nummodes, int &modes_offset)
 
void ExtractDataToCoeffs (const NekDouble *data, const std::vector< unsigned int > &nummodes, const int nmodes_offset, NekDouble *coeffs)
 
NekDouble StdPhysEvaluate (const Array< OneD, const NekDouble > &Lcoord, const Array< OneD, const NekDouble > &physvals)
 
int GetCoordim ()
 
void GetBoundaryMap (Array< OneD, unsigned int > &outarray)
 
void GetInteriorMap (Array< OneD, unsigned int > &outarray)
 
int GetVertexMap (const int localVertexId, bool useCoeffPacking=false)
 
void GetEdgeInteriorMap (const int eid, const Orientation edgeOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray)
 
void GetFaceInteriorMap (const int fid, const Orientation faceOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray)
 
void GetEdgeToElementMap (const int eid, const Orientation edgeOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, int P=-1)
 
void GetFaceToElementMap (const int fid, const Orientation faceOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, int nummodesA=-1, int nummodesB=-1)
 
void GetEdgePhysVals (const int edge, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 Extract the physical values along edge edge from inarray into outarray following the local edge orientation and point distribution defined by defined in EdgeExp. More...
 
void GetEdgePhysVals (const int edge, const boost::shared_ptr< StdExpansion > &EdgeExp, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
void GetTracePhysVals (const int edge, const boost::shared_ptr< StdExpansion > &EdgeExp, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
void GetVertexPhysVals (const int vertex, const Array< OneD, const NekDouble > &inarray, NekDouble &outarray)
 
void GetEdgeInterpVals (const int edge, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
void GetEdgeQFactors (const int edge, Array< OneD, NekDouble > &outarray)
 Extract the metric factors to compute the contravariant fluxes along edge edge and stores them into outarray following the local edge orientation (i.e. anticlockwise convention). More...
 
void GetFacePhysVals (const int face, const boost::shared_ptr< StdExpansion > &FaceExp, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, StdRegions::Orientation orient=eNoOrientation)
 
void GetEdgePhysMap (const int edge, Array< OneD, int > &outarray)
 
void GetFacePhysMap (const int face, Array< OneD, int > &outarray)
 
void MultiplyByQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
void MultiplyByStdQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
DNekMatSharedPtr CreateGeneralMatrix (const StdMatrixKey &mkey)
 this function generates the mass matrix $\mathbf{M}[i][j] = \int \phi_i(\mathbf{x}) \phi_j(\mathbf{x}) d\mathbf{x}$ More...
 
void GeneralMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void MassMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void LaplacianMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void ReduceOrderCoeffs (int numMin, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
void SVVLaplacianFilter (Array< OneD, NekDouble > &array, const StdMatrixKey &mkey)
 
void LaplacianMatrixOp (const int k1, const int k2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void WeakDerivMatrixOp (const int i, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void WeakDirectionalDerivMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void MassLevelCurvatureMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void LinearAdvectionDiffusionReactionMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey, bool addDiffusionTerm=true)
 
void HelmholtzMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
DNekMatSharedPtr GenMatrix (const StdMatrixKey &mkey)
 
void PhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1=NullNekDouble1DArray, Array< OneD, NekDouble > &out_d2=NullNekDouble1DArray)
 
void PhysDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
void PhysDeriv_s (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_ds)
 
void PhysDeriv_n (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_dn)
 
void PhysDirectionalDeriv (const Array< OneD, const NekDouble > &inarray, const Array< OneD, const NekDouble > &direction, Array< OneD, NekDouble > &outarray)
 
void StdPhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1=NullNekDouble1DArray, Array< OneD, NekDouble > &out_d2=NullNekDouble1DArray)
 
void StdPhysDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
void AddRobinMassMatrix (const int edgeid, const Array< OneD, const NekDouble > &primCoeffs, DNekMatSharedPtr &inoutmat)
 
void AddRobinEdgeContribution (const int edgeid, const Array< OneD, const NekDouble > &primCoeffs, Array< OneD, NekDouble > &coeffs)
 
NekDouble PhysEvaluate (const Array< OneD, const NekDouble > &coords, const Array< OneD, const NekDouble > &physvals)
 This function evaluates the expansion at a single (arbitrary) point of the domain. More...
 
NekDouble PhysEvaluate (const Array< OneD, DNekMatSharedPtr > &I, const Array< OneD, const NekDouble > &physvals)
 This function evaluates the expansion at a single (arbitrary) point of the domain. More...
 
void LocCoordToLocCollapsed (const Array< OneD, const NekDouble > &xi, Array< OneD, NekDouble > &eta)
 Convert local cartesian coordinate xi into local collapsed coordinates eta. More...
 
const boost::shared_ptr
< SpatialDomains::GeomFactors > & 		GetMetricInfo (void) const
 
virtual int v_GetElmtId ()
 Get the element id of this expansion when used in a list by returning value of m_elmt_id. More...
 
virtual const Array< OneD,
const NekDouble > & 		v_GetPhysNormals (void)
 
virtual void v_SetPhysNormals (Array< OneD, const NekDouble > &normal)
 
virtual void v_SetUpPhysNormals (const int edge)
 
virtual void v_ExtractDataToCoeffs (const NekDouble *data, const std::vector< unsigned int > &nummodes, const int nmode_offset, NekDouble *coeffs)
 Unpack data from input file assuming it comes from the same expansion type. More...
 
virtual void v_NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, Array< OneD, NekDouble > &outarray)
 
virtual void v_NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, Array< OneD, NekDouble > &outarray)
 
virtual void v_NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, const Array< OneD, const NekDouble > &Fz, Array< OneD, NekDouble > &outarray)
 
virtual void v_NormVectorIProductWRTBase (const Array< OneD, const Array< OneD, NekDouble > > &Fvec, Array< OneD, NekDouble > &outarray)
 
virtual DNekScalBlkMatSharedPtr v_GetLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey)
 
virtual void v_DropLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey)
 
virtual StdRegions::Orientation v_GetForient (int face)
 
virtual StdRegions::Orientation v_GetEorient (int edge)
 
virtual StdRegions::Orientation v_GetCartesianEorient (int edge)
 
virtual StdRegions::Orientation v_GetPorient (int point)
 
NekDouble Linf (const Array< OneD, const NekDouble > &phys, const Array< OneD, const NekDouble > &sol=NullNekDouble1DArray)
 Function to evaluate the discrete $ L_\infty$ error $ |\epsilon|_\infty = \max |u - u_{exact}|$ where $ u_{exact}$ is given by the array sol. More...
 
NekDouble L2 (const Array< OneD, const NekDouble > &phys, const Array< OneD, const NekDouble > &sol=NullNekDouble1DArray)
 Function to evaluate the discrete $ L_2$ error, $ | \epsilon |_{2} = \left [ \int^1_{-1} [u - u_{exact}]^2 dx \right]^{1/2} d\xi_1 $ where $ u_{exact}$ is given by the array sol. More...
 
NekDouble H1 (const Array< OneD, const NekDouble > &phys, const Array< OneD, const NekDouble > &sol=NullNekDouble1DArray)
 Function to evaluate the discrete $ H^1$ error, $ | \epsilon |^1_{2} = \left [ \int^1_{-1} [u - u_{exact}]^2 + \nabla(u - u_{exact})\cdot\nabla(u - u_{exact})\cdot dx \right]^{1/2} d\xi_1 $ where $ u_{exact}$ is given by the array sol. More...
 
const NormalVector & GetEdgeNormal (const int edge) const
 
void ComputeEdgeNormal (const int edge)
 
void NegateEdgeNormal (const int edge)
 
bool EdgeNormalNegated (const int edge)
 
void ComputeFaceNormal (const int face)
 
void NegateFaceNormal (const int face)
 
bool FaceNormalNegated (const int face)
 
void ComputeVertexNormal (const int vertex)
 
const NormalVector & GetFaceNormal (const int face) const
 
const NormalVector & GetVertexNormal (const int vertex) const
 
const NormalVector & GetSurfaceNormal (const int id) const
 
const LibUtilities::PointsKeyVector GetPointsKeys () const
 
Array< OneD, unsigned int > GetEdgeInverseBoundaryMap (int eid)
 
Array< OneD, unsigned int > GetFaceInverseBoundaryMap (int fid, StdRegions::Orientation faceOrient=eNoOrientation)
 
DNekMatSharedPtr BuildInverseTransformationMatrix (const DNekScalMatSharedPtr &m_transformationmatrix)
 
void PhysInterpToSimplexEquiSpaced (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, int npset=-1)
 This function performs an interpolation from the physical space points provided at input into an array of equispaced points which are not the collapsed coordinate. So for a tetrahedron you will only get a tetrahedral number of values. More...
 
void GetSimplexEquiSpacedConnectivity (Array< OneD, int > &conn, bool standard=true)
 This function provides the connectivity of local simplices (triangles or tets) to connect the equispaced data points provided by PhysInterpToSimplexEquiSpaced. More...
 
void EquiSpacedToCoeffs (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 This function performs a projection/interpolation from the equispaced points sometimes used in post-processing onto the coefficient space. More...
 
template<class T >
boost::shared_ptr< T > as ()
 
void IProductWRTBase_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool multiplybyweights=true)
 

Protected Member Functions

virtual void v_PhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1, Array< OneD, NekDouble > &out_d2)
 Calculate the derivative of the physical points. More...
 
virtual void v_PhysDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 Calculate the derivative of the physical points in a given direction. More...
 
virtual void v_StdPhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1, Array< OneD, NekDouble > &out_d2)
 
virtual void v_StdPhysDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
virtual void v_BwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
virtual void v_BwdTrans_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
virtual void v_BwdTrans_SumFacKernel (const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &base2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0, bool doCheckCollDir1, bool doCheckCollDir2)
 
virtual void v_FwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 Forward transform from physical quadrature space stored in inarray and evaluate the expansion coefficients and store in outarray. More...
 
virtual void v_IProductWRTBase (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 Calculate the inner product of inarray with respect to the basis B=base0*base1*base2 and put into outarray: More...
 
virtual void v_IProductWRTBase_MatOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
virtual void v_IProductWRTBase_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool multiplybyweights=true)
 
virtual void v_IProductWRTBase_SumFacKernel (const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &base2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0, bool doCheckCollDir1, bool doCheckCollDir2)
 
virtual void v_IProductWRTDerivBase (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 Inner product of inarray over region with respect to the object's default expansion basis; output in outarray. More...
 
virtual void v_IProductWRTDerivBase_MatOp (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
virtual void v_IProductWRTDerivBase_SumFac (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
virtual void v_LocCoordToLocCollapsed (const Array< OneD, const NekDouble > &xi, Array< OneD, NekDouble > &eta)
 
virtual void v_GetCoords (Array< OneD, NekDouble > &xi_x, Array< OneD, NekDouble > &xi_y, Array< OneD, NekDouble > &xi_z)
 
virtual void v_FillMode (const int mode, Array< OneD, NekDouble > &outarray)
 
virtual int v_GetNverts () const
 
virtual int v_GetNedges () const
 
virtual int v_GetNfaces () const
 
virtual LibUtilities::ShapeType v_DetShapeType () const
 Return Shape of region, using ShapeType enum list; i.e. prism. More...
 
virtual int v_NumBndryCoeffs () const
 
virtual int v_NumDGBndryCoeffs () const
 
virtual int v_GetEdgeNcoeffs (const int i) const
 
virtual int v_GetTotalEdgeIntNcoeffs () const
 
virtual int v_GetFaceNcoeffs (const int i) const
 
virtual int v_GetFaceNumPoints (const int i) const
 
virtual LibUtilities::PointsKey v_GetFacePointsKey (const int i, const int j) const
 
virtual const
LibUtilities::BasisKey 		v_DetFaceBasisKey (const int i, const int k) const
 
virtual int v_GetFaceIntNcoeffs (const int i) const
 
virtual int v_GetTotalFaceIntNcoeffs () const
 
virtual int v_CalcNumberOfCoefficients (const std::vector< unsigned int > &nummodes, int &modes_offset)
 
virtual LibUtilities::BasisType v_GetEdgeBasisType (const int i) const
 
virtual bool v_IsBoundaryInteriorExpansion ()
 
virtual void v_GetFaceToElementMap (const int fid, const Orientation faceOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, int P=-1, int Q=-1)
 
virtual int v_GetVertexMap (int localVertexId, bool useCoeffPacking=false)
 
virtual void v_GetEdgeInteriorMap (const int eid, const Orientation edgeOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray)
 
virtual void v_GetFaceInteriorMap (const int fid, const Orientation faceOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray)
 
virtual void v_GetInteriorMap (Array< OneD, unsigned int > &outarray)
 
virtual void v_GetBoundaryMap (Array< OneD, unsigned int > &outarray)
 
virtual DNekMatSharedPtr v_GenMatrix (const StdMatrixKey &mkey)
 
virtual DNekMatSharedPtr v_CreateStdMatrix (const StdMatrixKey &mkey)
 
virtual void v_MultiplyByStdQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
void v_SVVLaplacianFilter (Array< OneD, NekDouble > &array, const StdMatrixKey &mkey)
 
virtual void v_ReduceOrderCoeffs (int numMin, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
- Protected Member Functions inherited from Nektar::StdRegions::StdExpansion3D
virtual NekDouble v_PhysEvaluate (const Array< OneD, const NekDouble > &coords, const Array< OneD, const NekDouble > &physvals)
 This function evaluates the expansion at a single (arbitrary) point of the domain. More...
 
virtual NekDouble v_PhysEvaluate (const Array< OneD, DNekMatSharedPtr > &I, const Array< OneD, const NekDouble > &physvals)
 
virtual void v_LaplacianMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey)
 
virtual void v_HelmholtzMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey)
 
virtual NekDouble v_Integral (const Array< OneD, const NekDouble > &inarray)
 Integrates the specified function over the domain. More...
 
virtual void v_NegateFaceNormal (const int face)
 
virtual bool v_FaceNormalNegated (const int face)
 
virtual int v_GetTraceNcoeffs (const int i) const
 
- Protected Member Functions inherited from Nektar::StdRegions::StdExpansion
DNekMatSharedPtr CreateStdMatrix (const StdMatrixKey &mkey)
 
DNekBlkMatSharedPtr CreateStdStaticCondMatrix (const StdMatrixKey &mkey)
 Create the static condensation of a matrix when using a boundary interior decomposition. More...
 
IndexMapValuesSharedPtr CreateIndexMap (const IndexMapKey &ikey)
 Create an IndexMap which contains mapping information linking any specific element shape with either its boundaries, edges, faces, verteces, etc. More...
 
void BwdTrans_MatOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
void BwdTrans_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
void IProductWRTDerivBase_SumFac (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
void GeneralMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void MassMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void LaplacianMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void LaplacianMatrixOp_MatFree_Kernel (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp)
 
void LaplacianMatrixOp_MatFree_GenericImpl (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void LaplacianMatrixOp_MatFree (const int k1, const int k2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void WeakDerivMatrixOp_MatFree (const int i, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void WeakDirectionalDerivMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void MassLevelCurvatureMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void LinearAdvectionDiffusionReactionMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey, bool addDiffusionTerm=true)
 
void HelmholtzMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void HelmholtzMatrixOp_MatFree_GenericImpl (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
virtual void v_SetCoeffsToOrientation (StdRegions::Orientation dir, Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
virtual void v_SetCoeffsToOrientation (Array< OneD, NekDouble > &coeffs, StdRegions::Orientation dir)
 
virtual NekDouble v_StdPhysEvaluate (const Array< OneD, const NekDouble > &Lcoord, const Array< OneD, const NekDouble > &physvals)
 

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::StdExpansion3D
std::map< int, NormalVector > m_faceNormals
 
std::map< int, bool > m_negatedNormals
 
- Protected Attributes inherited from Nektar::StdRegions::StdExpansion
Array< OneD,
LibUtilities::BasisSharedPtr > 		m_base
 
int m_elmt_id
 
int m_ncoeffs
 
LibUtilities::NekManager
< StdMatrixKey, DNekMat,
StdMatrixKey::opLess > 		m_stdMatrixManager
 
LibUtilities::NekManager
< StdMatrixKey, DNekBlkMat,
StdMatrixKey::opLess > 		m_stdStaticCondMatrixManager
 
LibUtilities::NekManager
< IndexMapKey, IndexMapValues,
IndexMapKey::opLess > 		m_IndexMapManager
 

Detailed Description

Class representing a prismatic element in reference space.

Definition at line 49 of file StdPrismExp.h.

Constructor & Destructor Documentation

Nektar::StdRegions::StdPrismExp::StdPrismExp ( )

Definition at line 46 of file StdPrismExp.cpp.

47  {
48  }
Nektar::StdRegions::StdPrismExp::StdPrismExp ( const LibUtilities::BasisKey &  Ba,
const LibUtilities::BasisKey &  Bb,
const LibUtilities::BasisKey &  Bc 
)

Definition at line 50 of file StdPrismExp.cpp.

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

53  : StdExpansion (LibUtilities::StdPrismData::getNumberOfCoefficients(
54  Ba.GetNumModes(),
55  Bb.GetNumModes(),
56  Bc.GetNumModes()),
57  3,Ba,Bb,Bc),
58  StdExpansion3D(LibUtilities::StdPrismData::getNumberOfCoefficients(
59  Ba.GetNumModes(),
60  Bb.GetNumModes(),
61  Bc.GetNumModes()),
62  Ba,Bb,Bc)
63  {
64  ASSERTL0(Ba.GetNumModes() <= Bc.GetNumModes(),
65  "order in 'a' direction is higher than order in 'c' direction");
66  }
ASSERTL0
#define ASSERTL0(condition, msg)
Definition: ErrorUtil.hpp:161
Nektar::LibUtilities::StdPrismData::getNumberOfCoefficients
int getNumberOfCoefficients(int Na, int Nb, int Nc)
Definition: ShapeType.hpp:286
Nektar::StdRegions::StdExpansion::StdExpansion
StdExpansion()
Default Constructor.
Definition: StdExpansion.cpp:44
Nektar::StdRegions::StdPrismExp::StdPrismExp ( const LibUtilities::BasisKey &  Ba,
const LibUtilities::BasisKey &  Bb,
const LibUtilities::BasisKey &  Bc,
NekDouble *  coeffs,
NekDouble *  phys 
)
Nektar::StdRegions::StdPrismExp::StdPrismExp ( const StdPrismExp &  T)

Definition at line 68 of file StdPrismExp.cpp.

69  : StdExpansion(T),
70  StdExpansion3D(T)
71  {
72  }
Nektar::StdRegions::StdExpansion::StdExpansion
StdExpansion()
Default Constructor.
Definition: StdExpansion.cpp:44
Nektar::StdRegions::StdPrismExp::~StdPrismExp ( )

Definition at line 76 of file StdPrismExp.cpp.

77  {
78  }

Member Function Documentation

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 1891 of file StdPrismExp.cpp.

References Nektar::StdRegions::StdExpansion::m_base.

Referenced by v_GetBoundaryMap(), v_GetEdgeInteriorMap(), v_GetFaceInteriorMap(), v_GetFaceToElementMap(), v_GetInteriorMap(), v_GetVertexMap(), and v_IProductWRTBase_SumFacKernel().

1892  {
1893  int Q = m_base[1]->GetNumModes() - 1;
1894  int R = m_base[2]->GetNumModes() - 1;
1895 
1896  return r + // Skip along stacks (r-direction)
1897  q*(R+1-p) + // Skip along columns (q-direction)
1898  (Q+1)*(p*R + 1-(p-2)*(p-1)/2); // Skip along rows (p-direction)
1899  }
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1422
void Nektar::StdRegions::StdPrismExp::v_BwdTrans ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
protectedvirtual
Note
'r' (base[2]) runs fastest in this element.

Perform backwards transformation at the quadrature points:

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

In the prism this expansion becomes:

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

And sumfactorizing step of the form is as:\

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

Implements Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::StdRegions::StdNodalPrismExp.

Definition at line 242 of file StdPrismExp.cpp.

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().

244  {
245  ASSERTL1((m_base[1]->GetBasisType() != LibUtilities::eOrtho_B) ||
246  (m_base[1]->GetBasisType() != LibUtilities::eModified_B),
247  "Basis[1] is not a general tensor type");
248 
249  ASSERTL1((m_base[2]->GetBasisType() != LibUtilities::eOrtho_C) ||
250  (m_base[2]->GetBasisType() != LibUtilities::eModified_C),
251  "Basis[2] is not a general tensor type");
252 
253  if(m_base[0]->Collocation() &&
254  m_base[1]->Collocation() &&
255  m_base[2]->Collocation())
256  {
257  Vmath::Vcopy(m_base[0]->GetNumPoints()*
258  m_base[1]->GetNumPoints()*
259  m_base[2]->GetNumPoints(),
260  inarray, 1, outarray, 1);
261  }
262  else
263  {
264  StdPrismExp::v_BwdTrans_SumFac(inarray,outarray);
265  }
266  }
Nektar::LibUtilities::eModified_C
Principle Modified Functions .
Definition: BasisType.h:51
Nektar::StdRegions::StdPrismExp::v_BwdTrans_SumFac
virtual void v_BwdTrans_SumFac(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
Definition: StdPrismExp.cpp:268
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:229
Nektar::LibUtilities::eOrtho_B
Principle Orthogonal Functions .
Definition: BasisType.h:47
Nektar::LibUtilities::eModified_B
Principle Modified Functions .
Definition: BasisType.h:50
Nektar::LibUtilities::eOrtho_C
Principle Orthogonal Functions .
Definition: BasisType.h:48
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:165
ASSERTL1
#define ASSERTL1(condition, msg)
Assert Level 1 – Debugging which is used whether in FULLDEBUG or DEBUG compilation mode...
Definition: ErrorUtil.hpp:191
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1422
Vmath::Vcopy
void Vcopy(int n, const T *x, const int incx, T *y, const int incy)
Definition: Vmath.cpp:1047
void Nektar::StdRegions::StdPrismExp::v_BwdTrans_SumFac ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::StdRegions::StdNodalPrismExp.

Definition at line 268 of file StdPrismExp.cpp.

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

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

270  {
271  int nquad1 = m_base[1]->GetNumPoints();
272  int nquad2 = m_base[2]->GetNumPoints();
273  int order0 = m_base[0]->GetNumModes();
274  int order1 = m_base[1]->GetNumModes();
275 
276  Array<OneD, NekDouble> wsp(nquad2*order1*order0 +
277  nquad1*nquad2*order0);
278 
279  BwdTrans_SumFacKernel(m_base[0]->GetBdata(),
280  m_base[1]->GetBdata(),
281  m_base[2]->GetBdata(),
282  inarray,outarray,wsp,true,true,true);
283  }
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:113
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1422
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 
)
protectedvirtual

Implements Nektar::StdRegions::StdExpansion3D.

Definition at line 286 of file StdPrismExp.cpp.

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

296  {
297  int i, mode;
298  int nquad0 = m_base[0]->GetNumPoints();
299  int nquad1 = m_base[1]->GetNumPoints();
300  int nquad2 = m_base[2]->GetNumPoints();
301  int nummodes0 = m_base[0]->GetNumModes();
302  int nummodes1 = m_base[1]->GetNumModes();
303  int nummodes2 = m_base[2]->GetNumModes();
304  Array<OneD, NekDouble> tmp0 = wsp;
305  Array<OneD, NekDouble> tmp1 = tmp0 + nquad2*nummodes1*nummodes0;
306 
307  for (i = mode = 0; i < nummodes0; ++i)
308  {
309  Blas::Dgemm('N', 'N', nquad2, nummodes1, nummodes2-i,
310  1.0, base2.get() + mode*nquad2, nquad2,
311  inarray.get() + mode*nummodes1, nummodes2-i,
312  0.0, tmp0.get() + i*nquad2*nummodes1, nquad2);
313  mode += nummodes2-i;
314  }
315 
316  if (m_base[0]->GetBasisType() == LibUtilities::eModified_A)
317  {
318  for(i = 0; i < nummodes1; i++)
319  {
320  Blas::Daxpy(nquad2,inarray[1+i*nummodes2],base2.get()+nquad2,1,
321  tmp0.get()+nquad2*(nummodes1+i),1);
322  }
323  }
324 
325  for (i = 0; i < nummodes0; i++)
326  {
327  Blas::Dgemm('N', 'T', nquad1, nquad2, nummodes1,
328  1.0, base1.get(), nquad1,
329  tmp0.get() + i*nquad2*nummodes1, nquad2,
330  0.0, tmp1.get() + i*nquad2*nquad1, nquad1);
331  }
332 
333  Blas::Dgemm('N', 'T', nquad0, nquad2*nquad1, nummodes0,
334  1.0, base0.get(), nquad0,
335  tmp1.get(), nquad2*nquad1,
336  0.0, outarray.get(), nquad0);
337  }
Nektar::LibUtilities::eModified_A
Principle Modified Functions .
Definition: BasisType.h:49
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:165
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1422
int Nektar::StdRegions::StdPrismExp::v_CalcNumberOfCoefficients ( const std::vector< unsigned int > &  nummodes,
int &  modes_offset 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 959 of file StdPrismExp.cpp.

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

961  {
962  int nmodes = LibUtilities::StdPrismData::getNumberOfCoefficients(
963  nummodes[modes_offset],
964  nummodes[modes_offset+1],
965  nummodes[modes_offset+2]);
966 
967  modes_offset += 3;
968  return nmodes;
969  }
Nektar::LibUtilities::StdPrismData::getNumberOfCoefficients
int getNumberOfCoefficients(int Na, int Nb, int Nc)
Definition: ShapeType.hpp:286
DNekMatSharedPtr Nektar::StdRegions::StdPrismExp::v_CreateStdMatrix ( const StdMatrixKey &  mkey)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::LocalRegions::PrismExp, and Nektar::StdRegions::StdNodalPrismExp.

Definition at line 1866 of file StdPrismExp.cpp.

References v_GenMatrix().

1867  {
1868  return v_GenMatrix(mkey);
1869  }
Nektar::StdRegions::StdPrismExp::v_GenMatrix
virtual DNekMatSharedPtr v_GenMatrix(const StdMatrixKey &mkey)
Definition: StdPrismExp.cpp:1778
const LibUtilities::BasisKey Nektar::StdRegions::StdPrismExp::v_DetFaceBasisKey ( const int  i,
const int  k 
) const
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 920 of file StdPrismExp.cpp.

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().

922  {
923  ASSERTL2(i >= 0 && i <= 4, "face id is out of range");
924  ASSERTL2(k >= 0 && k <= 1, "basis key id is out of range");
925 
926  switch(i)
927  {
928  case 0:
929  {
930  return EvaluateQuadFaceBasisKey(k,
931  m_base[k]->GetBasisType(),
932  m_base[k]->GetNumPoints(),
933  m_base[k]->GetNumModes());
934  }
935  case 2:
936  case 4:
937  {
938  return EvaluateQuadFaceBasisKey(k,
939  m_base[k+1]->GetBasisType(),
940  m_base[k+1]->GetNumPoints(),
941  m_base[k+1]->GetNumModes());
942  }
943  case 1:
944  case 3:
945  {
946  return EvaluateTriFaceBasisKey(k,
947  m_base[2*k]->GetBasisType(),
948  m_base[2*k]->GetNumPoints(),
949  m_base[2*k]->GetNumModes());
950 
951  }
952  break;
953  }
954 
955  // Should never get here.
956  return LibUtilities::NullBasisKey;
957  }
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:229
Nektar::StdRegions::EvaluateTriFaceBasisKey
LibUtilities::BasisKey EvaluateTriFaceBasisKey(const int facedir, const LibUtilities::BasisType faceDirBasisType, const int numpoints, const int nummodes)
Definition: StdExpansion3D.cpp:408
Nektar::StdRegions::EvaluateQuadFaceBasisKey
LibUtilities::BasisKey EvaluateQuadFaceBasisKey(const int facedir, const LibUtilities::BasisType faceDirBasisType, const int numpoints, const int nummodes)
Definition: StdExpansion3D.cpp:351
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:165
ASSERTL2
#define ASSERTL2(condition, msg)
Assert Level 2 – Debugging which is used FULLDEBUG compilation mode. This level assert is designed t...
Definition: ErrorUtil.hpp:213
Nektar::LibUtilities::NullBasisKey
static const BasisKey NullBasisKey(eNoBasisType, 0, NullPointsKey)
Defines a null basis with no type or points.
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1422
LibUtilities::ShapeType Nektar::StdRegions::StdPrismExp::v_DetShapeType ( ) const
protectedvirtual

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

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 755 of file StdPrismExp.cpp.

References Nektar::LibUtilities::ePrism.

756  {
757  return LibUtilities::ePrism;
758  }
void Nektar::StdRegions::StdPrismExp::v_FillMode ( const int  mode,
Array< OneD, NekDouble > &  outarray 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::StdRegions::StdNodalPrismExp.

Definition at line 724 of file StdPrismExp.cpp.

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

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

725  {
726  Array<OneD, NekDouble> tmp(m_ncoeffs,0.0);
727  tmp[mode] = 1.0;
728  StdPrismExp::v_BwdTrans(tmp, outarray);
729  }
Nektar::StdRegions::StdPrismExp::v_BwdTrans
virtual void v_BwdTrans(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
Definition: StdPrismExp.cpp:242
void Nektar::StdRegions::StdPrismExp::v_FwdTrans ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
protectedvirtual

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

Inputs:

  • inarray: array of physical quadrature points to be transformed

Outputs:

  • outarray: updated array of expansion coefficients.

Implements Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::StdRegions::StdNodalPrismExp, and Nektar::LocalRegions::PrismExp.

Definition at line 350 of file StdPrismExp.cpp.

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

352  {
353  v_IProductWRTBase(inarray, outarray);
354 
355  // Get Mass matrix inverse
356  StdMatrixKey masskey(eInvMass,DetShapeType(),*this);
357  DNekMatSharedPtr matsys = GetStdMatrix(masskey);
358 
359  // copy inarray in case inarray == outarray
360  DNekVec in (m_ncoeffs, outarray);
361  DNekVec out(m_ncoeffs, outarray, eWrapper);
362 
363  out = (*matsys)*in;
364  }
Nektar::StdRegions::StdExpansion::DetShapeType
LibUtilities::ShapeType DetShapeType() const
This function returns the shape of the expansion domain.
Definition: StdExpansion.h:470
Nektar::StdRegions::StdPrismExp::v_IProductWRTBase
virtual void v_IProductWRTBase(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
Calculate the inner product of inarray with respect to the basis B=base0*base1*base2 and put into out...
Definition: StdPrismExp.cpp:397
Nektar::DNekMatSharedPtr
boost::shared_ptr< DNekMat > DNekMatSharedPtr
Definition: NekTypeDefs.hpp:70
Nektar::StdRegions::StdExpansion::GetStdMatrix
DNekMatSharedPtr GetStdMatrix(const StdMatrixKey &mkey)
Definition: StdExpansion.h:700
Nektar::DNekVec
NekVector< NekDouble > DNekVec
Definition: NekTypeDefs.hpp:49
DNekMatSharedPtr Nektar::StdRegions::StdPrismExp::v_GenMatrix ( const StdMatrixKey &  mkey)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::LocalRegions::PrismExp, and Nektar::StdRegions::StdNodalPrismExp.

Definition at line 1778 of file StdPrismExp.cpp.

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().

1779  {
1780 
1781  MatrixType mtype = mkey.GetMatrixType();
1782 
1783  DNekMatSharedPtr Mat;
1784 
1785  switch(mtype)
1786  {
1787  case ePhysInterpToEquiSpaced:
1788  {
1789  int nq0 = m_base[0]->GetNumPoints();
1790  int nq1 = m_base[1]->GetNumPoints();
1791  int nq2 = m_base[2]->GetNumPoints();
1792  int nq;
1793 
1794  // take definition from key
1795  if(mkey.ConstFactorExists(eFactorConst))
1796  {
1797  nq = (int) mkey.GetConstFactor(eFactorConst);
1798  }
1799  else
1800  {
1801  nq = max(nq0,max(nq1,nq2));
1802  }
1803 
1804  int neq = LibUtilities::StdPrismData::
1805  getNumberOfCoefficients (nq,nq,nq);
1806  Array<OneD, Array<OneD, NekDouble> > coords (neq);
1807  Array<OneD, NekDouble> coll (3);
1808  Array<OneD, DNekMatSharedPtr> I (3);
1809  Array<OneD, NekDouble> tmp (nq0);
1810 
1811  Mat = MemoryManager<DNekMat>::
1812  AllocateSharedPtr(neq,nq0*nq1*nq2);
1813  int cnt = 0;
1814  for(int i = 0; i < nq; ++i)
1815  {
1816  for(int j = 0; j < nq; ++j)
1817  {
1818  for(int k = 0; k < nq-i; ++k,++cnt)
1819  {
1820  coords[cnt] = Array<OneD, NekDouble>(3);
1821  coords[cnt][0] = -1.0 + 2*k/(NekDouble)(nq-1);
1822  coords[cnt][1] = -1.0 + 2*j/(NekDouble)(nq-1);
1823  coords[cnt][2] = -1.0 + 2*i/(NekDouble)(nq-1);
1824  }
1825  }
1826  }
1827 
1828  for(int i = 0; i < neq; ++i)
1829  {
1830  LocCoordToLocCollapsed(coords[i],coll);
1831 
1832  I[0] = m_base[0]->GetI(coll );
1833  I[1] = m_base[1]->GetI(coll+1);
1834  I[2] = m_base[2]->GetI(coll+2);
1835 
1836  // interpolate first coordinate direction
1837  NekDouble fac;
1838  for( int k = 0; k < nq2; ++k)
1839  {
1840  for (int j = 0; j < nq1; ++j)
1841  {
1842 
1843  fac = (I[1]->GetPtr())[j]*(I[2]->GetPtr())[k];
1844  Vmath::Smul(nq0,fac,I[0]->GetPtr(),1,tmp,1);
1845 
1846  Vmath::Vcopy(nq0, &tmp[0], 1,
1847  Mat->GetRawPtr() +
1848  k * nq0 * nq1 * neq +
1849  j * nq0 * neq + i,
1850  neq);
1851  }
1852  }
1853  }
1854  }
1855  break;
1856  default:
1857  {
1858  Mat = StdExpansion::CreateGeneralMatrix(mkey);
1859  }
1860  break;
1861  }
1862 
1863  return Mat;
1864  }
Nektar::LibUtilities::StdPrismData::getNumberOfCoefficients
int getNumberOfCoefficients(int Na, int Nb, int Nc)
Definition: ShapeType.hpp:286
Nektar::MemoryManager::AllocateSharedPtr
static boost::shared_ptr< DataType > AllocateSharedPtr()
Allocate a shared pointer from the memory pool.
Definition: NekMemoryManager.hpp:235
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:1173
Nektar::DNekMatSharedPtr
boost::shared_ptr< DNekMat > DNekMatSharedPtr
Definition: NekTypeDefs.hpp:70
Vmath::Smul
void Smul(int n, const T alpha, const T *x, const int incx, T *y, const int incy)
Scalar multiply y = alpha*y.
Definition: Vmath.cpp:199
Nektar::StdRegions::StdExpansion::CreateGeneralMatrix
DNekMatSharedPtr CreateGeneralMatrix(const StdMatrixKey &mkey)
this function generates the mass matrix
Definition: StdExpansion.cpp:322
Nektar::NekDouble
double NekDouble
Definition: NektarUnivTypeDefs.hpp:44
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1422
Vmath::Vcopy
void Vcopy(int n, const T *x, const int incx, T *y, const int incy)
Definition: Vmath.cpp:1047
void Nektar::StdRegions::StdPrismExp::v_GetBoundaryMap ( Array< OneD, unsigned int > &  outarray)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::StdRegions::StdNodalPrismExp.

Definition at line 1712 of file StdPrismExp.cpp.

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

1713  {
1714  ASSERTL1(GetBasisType(0) == LibUtilities::eModified_A ||
1715  GetBasisType(0) == LibUtilities::eGLL_Lagrange,
1716  "BasisType is not a boundary interior form");
1717  ASSERTL1(GetBasisType(1) == LibUtilities::eModified_A ||
1718  GetBasisType(1) == LibUtilities::eGLL_Lagrange,
1719  "BasisType is not a boundary interior form");
1720  ASSERTL1(GetBasisType(2) == LibUtilities::eModified_B ||
1721  GetBasisType(2) == LibUtilities::eGLL_Lagrange,
1722  "BasisType is not a boundary interior form");
1723 
1724  int P = m_base[0]->GetNumModes() - 1, p;
1725  int Q = m_base[1]->GetNumModes() - 1, q;
1726  int R = m_base[2]->GetNumModes() - 1, r;
1727  int idx = 0;
1728 
1729  int nBnd = NumBndryCoeffs();
1730 
1731  if (maparray.num_elements() != nBnd)
1732  {
1733  maparray = Array<OneD, unsigned int>(nBnd);
1734  }
1735 
1736  // Loop over all boundary modes (in ascending order).
1737  for (p = 0; p <= P; ++p)
1738  {
1739  // First two q-r planes are entirely boundary modes.
1740  if (p <= 1)
1741  {
1742  for (q = 0; q <= Q; ++q)
1743  {
1744  for (r = 0; r <= R-p; ++r)
1745  {
1746  maparray[idx++] = GetMode(p,q,r);
1747  }
1748  }
1749  }
1750  else
1751  {
1752  // Remaining q-r planes contain boundary modes on the two
1753  // left-hand sides and bottom edge.
1754  for (q = 0; q <= Q; ++q)
1755  {
1756  if (q <= 1)
1757  {
1758  for (r = 0; r <= R-p; ++r)
1759  {
1760  maparray[idx++] = GetMode(p,q,r);
1761  }
1762  }
1763  else
1764  {
1765  maparray[idx++] = GetMode(p,q,0);
1766  }
1767  }
1768  }
1769  }
1770  }
Nektar::LibUtilities::eModified_A
Principle Modified Functions .
Definition: BasisType.h:49
Nektar::LibUtilities::eModified_B
Principle Modified Functions .
Definition: BasisType.h:50
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:165
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:1891
Nektar::LibUtilities::eGLL_Lagrange
Lagrange for SEM basis .
Definition: BasisType.h:53
ASSERTL1
#define ASSERTL1(condition, msg)
Assert Level 1 – Debugging which is used whether in FULLDEBUG or DEBUG compilation mode...
Definition: ErrorUtil.hpp:191
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1422
void Nektar::StdRegions::StdPrismExp::v_GetCoords ( Array< OneD, NekDouble > &  xi_x,
Array< OneD, NekDouble > &  xi_y,
Array< OneD, NekDouble > &  xi_z 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::LocalRegions::PrismExp.

Definition at line 700 of file StdPrismExp.cpp.

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

703  {
704  Array<OneD, const NekDouble> etaBar_x = m_base[0]->GetZ();
705  Array<OneD, const NekDouble> eta_y = m_base[1]->GetZ();
706  Array<OneD, const NekDouble> eta_z = m_base[2]->GetZ();
707  int Qx = GetNumPoints(0);
708  int Qy = GetNumPoints(1);
709  int Qz = GetNumPoints(2);
710 
711  // Convert collapsed coordinates into cartesian coordinates: eta --> xi
712  for (int k = 0; k < Qz; ++k) {
713  for (int j = 0; j < Qy; ++j) {
714  for (int i = 0; i < Qx; ++i) {
715  int s = i + Qx*(j + Qy*k);
716  xi_x[s] = (1.0 - eta_z[k])*(1.0 + etaBar_x[i]) / 2.0 - 1.0;
717  xi_y[s] = eta_y[j];
718  xi_z[s] = eta_z[k];
719  }
720  }
721  }
722  }
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:229
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1422
LibUtilities::BasisType Nektar::StdRegions::StdPrismExp::v_GetEdgeBasisType ( const int  i) const
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 971 of file StdPrismExp.cpp.

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

972  {
973  ASSERTL2(i >= 0 && i <= 8, "edge id is out of range");
974  if (i == 0 || i == 2)
975  {
976  return GetBasisType(0);
977  }
978  else if (i == 1 || i == 3 || i == 8)
979  {
980  return GetBasisType(1);
981  }
982  else
983  {
984  return GetBasisType(2);
985  }
986  }
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:165
ASSERTL2
#define ASSERTL2(condition, msg)
Assert Level 2 – Debugging which is used FULLDEBUG compilation mode. This level assert is designed t...
Definition: ErrorUtil.hpp:213
void Nektar::StdRegions::StdPrismExp::v_GetEdgeInteriorMap ( const int  eid,
const Orientation  edgeOrient,
Array< OneD, unsigned int > &  maparray,
Array< OneD, int > &  signarray 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 1378 of file StdPrismExp.cpp.

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

1383  {
1384  int i;
1385  bool signChange;
1386  const int P = m_base[0]->GetNumModes() - 1;
1387  const int Q = m_base[1]->GetNumModes() - 1;
1388  const int R = m_base[2]->GetNumModes() - 1;
1389  const int nEdgeIntCoeffs = v_GetEdgeNcoeffs(eid) - 2;
1390 
1391  if (maparray.num_elements() != nEdgeIntCoeffs)
1392  {
1393  maparray = Array<OneD, unsigned int>(nEdgeIntCoeffs);
1394  }
1395 
1396  if(signarray.num_elements() != nEdgeIntCoeffs)
1397  {
1398  signarray = Array<OneD, int>(nEdgeIntCoeffs,1);
1399  }
1400  else
1401  {
1402  fill(signarray.get(), signarray.get()+nEdgeIntCoeffs, 1);
1403  }
1404 
1405  // If edge is oriented backwards, change sign of modes which have
1406  // degree 2n+1, n >= 1.
1407  signChange = edgeOrient == eBackwards;
1408 
1409  switch (eid)
1410  {
1411  case 0:
1412  for (i = 2; i <= P; ++i)
1413  {
1414  maparray[i-2] = GetMode(i,0,0);
1415  }
1416  break;
1417 
1418  case 1:
1419  for (i = 2; i <= Q; ++i)
1420  {
1421  maparray[i-2] = GetMode(1,i,0);
1422  }
1423  break;
1424 
1425  case 2:
1426  // Base quad; reverse direction.
1427  //signChange = !signChange;
1428  for (i = 2; i <= P; ++i)
1429  {
1430  maparray[i-2] = GetMode(i,1,0);
1431  }
1432  break;
1433 
1434  case 3:
1435  // Base quad; reverse direction.
1436  //signChange = !signChange;
1437  for (i = 2; i <= Q; ++i)
1438  {
1439  maparray[i-2] = GetMode(0,i,0);
1440  }
1441  break;
1442 
1443  case 4:
1444  for (i = 2; i <= R; ++i)
1445  {
1446  maparray[i-2] = GetMode(0,0,i);
1447  }
1448  break;
1449 
1450  case 5:
1451  for (i = 1; i <= R-1; ++i)
1452  {
1453  maparray[i-1] = GetMode(1,0,i);
1454  }
1455  break;
1456 
1457  case 6:
1458  for (i = 1; i <= R-1; ++i)
1459  {
1460  maparray[i-1] = GetMode(1,1,i);
1461  }
1462  break;
1463 
1464  case 7:
1465  for (i = 2; i <= R; ++i)
1466  {
1467  maparray[i-2] = GetMode(0,1,i);
1468  }
1469  break;
1470 
1471  case 8:
1472  for (i = 2; i <= Q; ++i)
1473  {
1474  maparray[i-2] = GetMode(0,i,1);
1475  }
1476  break;
1477 
1478  default:
1479  ASSERTL0(false, "Edge not defined.");
1480  break;
1481  }
1482 
1483  if (signChange)
1484  {
1485  for (i = 1; i < nEdgeIntCoeffs; i += 2)
1486  {
1487  signarray[i] = -1;
1488  }
1489  }
1490  }
ASSERTL0
#define ASSERTL0(condition, msg)
Definition: ErrorUtil.hpp:161
Nektar::StdRegions::StdPrismExp::v_GetEdgeNcoeffs
virtual int v_GetEdgeNcoeffs(const int i) const
Definition: StdPrismExp.cpp:801
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:1891
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1422
int Nektar::StdRegions::StdPrismExp::v_GetEdgeNcoeffs ( const int  i) const
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 801 of file StdPrismExp.cpp.

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

Referenced by v_GetEdgeInteriorMap().

802  {
803  ASSERTL2(i >= 0 && i <= 8, "edge id is out of range");
804 
805  if (i == 0 || i == 2)
806  {
807  return GetBasisNumModes(0);
808  }
809  else if (i == 1 || i == 3 || i == 8)
810  {
811  return GetBasisNumModes(1);
812  }
813  else
814  {
815  return GetBasisNumModes(2);
816  }
817  }
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:178
ASSERTL2
#define ASSERTL2(condition, msg)
Assert Level 2 – Debugging which is used FULLDEBUG compilation mode. This level assert is designed t...
Definition: ErrorUtil.hpp:213
void Nektar::StdRegions::StdPrismExp::v_GetFaceInteriorMap ( const int  fid,
const Orientation  faceOrient,
Array< OneD, unsigned int > &  maparray,
Array< OneD, int > &  signarray 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 1492 of file StdPrismExp.cpp.

References ASSERTL0, GetMode(), Nektar::StdRegions::StdExpansion::m_base, and v_GetFaceIntNcoeffs().

1497  {
1498  const int P = m_base[0]->GetNumModes() - 1;
1499  const int Q = m_base[1]->GetNumModes() - 1;
1500  const int R = m_base[2]->GetNumModes() - 1;
1501  const int nFaceIntCoeffs = v_GetFaceIntNcoeffs(fid);
1502  int p, q, r, idx = 0;
1503  int nummodesA = 0;
1504  int nummodesB = 0;
1505  int i = 0;
1506  int j = 0;
1507 
1508  if (maparray.num_elements() != nFaceIntCoeffs)
1509  {
1510  maparray = Array<OneD, unsigned int>(nFaceIntCoeffs);
1511  }
1512 
1513  if (signarray.num_elements() != nFaceIntCoeffs)
1514  {
1515  signarray = Array<OneD, int>(nFaceIntCoeffs, 1);
1516  }
1517  else
1518  {
1519  fill(signarray.get(), signarray.get()+nFaceIntCoeffs, 1);
1520  }
1521 
1522  // Set up an array indexing for quad faces, since the ordering may
1523  // need to be transposed depending on orientation.
1524  Array<OneD, int> arrayindx(nFaceIntCoeffs);
1525  if (fid != 1 && fid != 3)
1526  {
1527  if (fid == 0) // Base quad
1528  {
1529  nummodesA = P-1;
1530  nummodesB = Q-1;
1531  }
1532  else // front and back quad
1533  {
1534  nummodesA = Q-1;
1535  nummodesB = R-1;
1536  }
1537 
1538  for (i = 0; i < nummodesB; i++)
1539  {
1540  for (j = 0; j < nummodesA; j++)
1541  {
1542  if (faceOrient < 9)
1543  {
1544  arrayindx[i*nummodesA+j] = i*nummodesA+j;
1545  }
1546  else
1547  {
1548  arrayindx[i*nummodesA+j] = j*nummodesB+i;
1549  }
1550  }
1551  }
1552  }
1553 
1554  switch (fid)
1555  {
1556  case 0: // Bottom quad
1557  for (q = 2; q <= Q; ++q)
1558  {
1559  for (p = 2; p <= P; ++p)
1560  {
1561  maparray[arrayindx[(q-2)*nummodesA+(p-2)]] = GetMode(p,q,0);
1562  }
1563  }
1564  break;
1565 
1566  case 1: // Left triangle
1567  for (p = 2; p <= P; ++p)
1568  {
1569  for (r = 1; r <= R-p; ++r)
1570  {
1571  if ((int)faceOrient == 7)
1572  {
1573  signarray[idx] = p % 2 ? -1 : 1;
1574  }
1575  maparray[idx++] = GetMode(p,0,r);
1576  }
1577  }
1578  break;
1579 
1580  case 2: // Slanted quad
1581  for (r = 1; r <= R-1; ++r)
1582  {
1583  for (q = 2; q <= Q; ++q)
1584  {
1585  maparray[arrayindx[(r-1)*nummodesA+(q-2)]] = GetMode(1, q, r);
1586  }
1587  }
1588  break;
1589 
1590  case 3: // Right triangle
1591  for (p = 2; p <= P; ++p)
1592  {
1593  for (r = 1; r <= R-p; ++r)
1594  {
1595  if ((int)faceOrient == 7)
1596  {
1597  signarray[idx] = p % 2 ? -1 : 1;
1598  }
1599  maparray[idx++] = GetMode(p, 1, r);
1600  }
1601  }
1602  break;
1603 
1604  case 4: // Back quad
1605  for (r = 2; r <= R; ++r)
1606  {
1607  for (q = 2; q <= Q; ++q)
1608  {
1609  maparray[arrayindx[(r-2)*nummodesA+(q-2)]] = GetMode(0, q, r);
1610  }
1611  }
1612  break;
1613 
1614  default:
1615  ASSERTL0(false, "Face interior map not available.");
1616  }
1617 
1618  // Triangular faces are processed in the above switch loop; for
1619  // remaining quad faces, set up orientation if necessary.
1620  if (fid == 1 || fid == 3)
1621  return;
1622 
1623  if (faceOrient == 6 || faceOrient == 8 ||
1624  faceOrient == 11 || faceOrient == 12)
1625  {
1626  if (faceOrient < 9)
1627  {
1628  for (i = 1; i < nummodesB; i += 2)
1629  {
1630  for (j = 0; j < nummodesA; j++)
1631  {
1632  signarray[arrayindx[i*nummodesA+j]] *= -1;
1633  }
1634  }
1635  }
1636  else
1637  {
1638  for (i = 0; i < nummodesB; i++)
1639  {
1640  for (j = 1; j < nummodesA; j += 2)
1641  {
1642  signarray[arrayindx[i*nummodesA+j]] *= -1;
1643  }
1644  }
1645  }
1646  }
1647 
1648  if (faceOrient == 7 || faceOrient == 8 ||
1649  faceOrient == 10 || faceOrient == 12)
1650  {
1651  if (faceOrient < 9)
1652  {
1653  for (i = 0; i < nummodesB; i++)
1654  {
1655  for (j = 1; j < nummodesA; j += 2)
1656  {
1657  signarray[arrayindx[i*nummodesA+j]] *= -1;
1658  }
1659  }
1660  }
1661  else
1662  {
1663  for (i = 1; i < nummodesB; i += 2)
1664  {
1665  for (j = 0; j < nummodesA; j++)
1666  {
1667  signarray[arrayindx[i*nummodesA+j]] *= -1;
1668  }
1669  }
1670  }
1671  }
1672  }
ASSERTL0
#define ASSERTL0(condition, msg)
Definition: ErrorUtil.hpp:161
Nektar::StdRegions::StdPrismExp::v_GetFaceIntNcoeffs
virtual int v_GetFaceIntNcoeffs(const int i) const
Definition: StdPrismExp.cpp:846
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:1891
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1422
int Nektar::StdRegions::StdPrismExp::v_GetFaceIntNcoeffs ( const int  i) const
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 846 of file StdPrismExp.cpp.

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

Referenced by v_GetFaceInteriorMap().

847  {
848  ASSERTL2(i >= 0 && i <= 4, "face id is out of range");
849 
850  int Pi = GetBasisNumModes(0) - 2;
851  int Qi = GetBasisNumModes(1) - 2;
852  int Ri = GetBasisNumModes(2) - 2;
853 
854  if (i == 0)
855  {
856  return Pi * Qi;
857  }
858  else if (i == 1 || i == 3)
859  {
860  return Pi * (2*Ri - Pi - 1) / 2;
861  }
862  else
863  {
864  return Qi * Ri;
865  }
866  }
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:178
ASSERTL2
#define ASSERTL2(condition, msg)
Assert Level 2 – Debugging which is used FULLDEBUG compilation mode. This level assert is designed t...
Definition: ErrorUtil.hpp:213
int Nektar::StdRegions::StdPrismExp::v_GetFaceNcoeffs ( const int  i) const
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 828 of file StdPrismExp.cpp.

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

829  {
830  ASSERTL2(i >= 0 && i <= 4, "face id is out of range");
831  if (i == 0)
832  {
833  return GetBasisNumModes(0)*GetBasisNumModes(1);
834  }
835  else if (i == 1 || i == 3)
836  {
837  int P = GetBasisNumModes(0)-1, Q = GetBasisNumModes(2)-1;
838  return Q+1 + (P*(1 + 2*Q - P))/2;
839  }
840  else
841  {
842  return GetBasisNumModes(1)*GetBasisNumModes(2);
843  }
844  }
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:178
ASSERTL2
#define ASSERTL2(condition, msg)
Assert Level 2 – Debugging which is used FULLDEBUG compilation mode. This level assert is designed t...
Definition: ErrorUtil.hpp:213
int Nektar::StdRegions::StdPrismExp::v_GetFaceNumPoints ( const int  i) const
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 879 of file StdPrismExp.cpp.

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

880  {
881  ASSERTL2(i >= 0 && i <= 4, "face id is out of range");
882 
883  if (i == 0)
884  {
885  return m_base[0]->GetNumPoints()*
886  m_base[1]->GetNumPoints();
887  }
888  else if (i == 1 || i == 3)
889  {
890  return m_base[0]->GetNumPoints()*
891  m_base[2]->GetNumPoints();
892  }
893  else
894  {
895  return m_base[1]->GetNumPoints()*
896  m_base[2]->GetNumPoints();
897  }
898  }
ASSERTL2
#define ASSERTL2(condition, msg)
Assert Level 2 – Debugging which is used FULLDEBUG compilation mode. This level assert is designed t...
Definition: ErrorUtil.hpp:213
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1422
LibUtilities::PointsKey Nektar::StdRegions::StdPrismExp::v_GetFacePointsKey ( const int  i,
const int  j 
) const
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 900 of file StdPrismExp.cpp.

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

902  {
903  ASSERTL2(i >= 0 && i <= 4, "face id is out of range");
904  ASSERTL2(j == 0 || j == 1, "face direction is out of range");
905 
906  if (i == 0)
907  {
908  return m_base[j]->GetPointsKey();
909  }
910  else if (i == 1 || i == 3)
911  {
912  return m_base[2*j]->GetPointsKey();
913  }
914  else
915  {
916  return m_base[j+1]->GetPointsKey();
917  }
918  }
ASSERTL2
#define ASSERTL2(condition, msg)
Assert Level 2 – Debugging which is used FULLDEBUG compilation mode. This level assert is designed t...
Definition: ErrorUtil.hpp:213
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1422
void Nektar::StdRegions::StdPrismExp::v_GetFaceToElementMap ( const int  fid,
const Orientation  faceOrient,
Array< OneD, unsigned int > &  maparray,
Array< OneD, int > &  signarray,
int  P = -1,
int  Q = -1 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 1000 of file StdPrismExp.cpp.

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

1007  {
1008  ASSERTL1(GetEdgeBasisType(0) == GetEdgeBasisType(1),
1009  "Method only implemented if BasisType is identical"
1010  "in x and y directions");
1011  ASSERTL1(GetEdgeBasisType(0) == LibUtilities::eModified_A &&
1012  GetEdgeBasisType(4) == LibUtilities::eModified_B,
1013  "Method only implemented for Modified_A BasisType"
1014  "(x and y direction) and Modified_B BasisType (z "
1015  "direction)");
1016 
1017  int i, j, k, p, q, r, nFaceCoeffs, idx = 0;
1018  int nummodesA, nummodesB;
1019 
1020  switch (fid)
1021  {
1022  case 0:
1023  nummodesA = m_base[0]->GetNumModes();
1024  nummodesB = m_base[1]->GetNumModes();
1025  break;
1026  case 1:
1027  case 3:
1028  nummodesA = m_base[0]->GetNumModes();
1029  nummodesB = m_base[2]->GetNumModes();
1030  break;
1031  case 2:
1032  case 4:
1033  nummodesA = m_base[1]->GetNumModes();
1034  nummodesB = m_base[2]->GetNumModes();
1035  break;
1036  }
1037 
1038  bool CheckForZeroedModes = false;
1039 
1040  if (P == -1)
1041  {
1042  P = nummodesA;
1043  Q = nummodesB;
1044  nFaceCoeffs = GetFaceNcoeffs(fid);
1045  }
1046  else if (fid == 1 || fid == 3)
1047  {
1048  nFaceCoeffs = P*(2*Q-P+1)/2;
1049  CheckForZeroedModes = true;
1050  }
1051  else
1052  {
1053  nFaceCoeffs = P*Q;
1054  CheckForZeroedModes = true;
1055  }
1056 
1057  // Allocate the map array and sign array; set sign array to ones (+)
1058  if (maparray.num_elements() != nFaceCoeffs)
1059  {
1060  maparray = Array<OneD, unsigned int>(nFaceCoeffs);
1061  }
1062 
1063  if (signarray.num_elements() != nFaceCoeffs)
1064  {
1065  signarray = Array<OneD, int>(nFaceCoeffs,1);
1066  }
1067  else
1068  {
1069  fill(signarray.get(), signarray.get() + nFaceCoeffs, 1);
1070  }
1071 
1072  // Set up an array indexing for quads, since the ordering may need
1073  // to be transposed.
1074  Array<OneD, int> arrayindx(nFaceCoeffs,-1);
1075 
1076  if (fid != 1 && fid != 3)
1077  {
1078  for (i = 0; i < Q; i++)
1079  {
1080  for (j = 0; j < P; j++)
1081  {
1082  if (faceOrient < 9)
1083  {
1084  arrayindx[i*P+j] = i*P+j;
1085  }
1086  else
1087  {
1088  arrayindx[i*P+j] = j*Q+i;
1089  }
1090  }
1091  }
1092  }
1093 
1094  // Set up ordering inside each 2D face. Also for triangular faces,
1095  // populate signarray.
1096  switch (fid)
1097  {
1098  case 0: // Bottom quad
1099  for (q = 0; q < Q; ++q)
1100  {
1101  for (p = 0; p < P; ++p)
1102  {
1103  maparray[arrayindx[q*P+p]] = GetMode(p,q,0);
1104  }
1105  }
1106  break;
1107 
1108  case 1: // Left triangle
1109  for (p = 0; p < P; ++p)
1110  {
1111  for (r = 0; r < Q-p; ++r)
1112  {
1113  if ((int)faceOrient == 7 && p > 1)
1114  {
1115  signarray[idx] = p % 2 ? -1 : 1;
1116  }
1117  maparray[idx++] = GetMode(p,0,r);
1118  }
1119  }
1120  break;
1121 
1122  case 2: // Slanted quad
1123  for (q = 0; q < P; ++q)
1124  {
1125  maparray[arrayindx[q]] = GetMode(1,q,0);
1126  }
1127  for (q = 0; q < P; ++q)
1128  {
1129  maparray[arrayindx[P+q]] = GetMode(0,q,1);
1130  }
1131  for (r = 1; r < Q-1; ++r)
1132  {
1133  for (q = 0; q < P; ++q)
1134  {
1135  maparray[arrayindx[(r+1)*P+q]] = GetMode(1,q,r);
1136  }
1137  }
1138  break;
1139 
1140  case 3: // Right triangle
1141  for (p = 0; p < P; ++p)
1142  {
1143  for (r = 0; r < Q-p; ++r)
1144  {
1145  if ((int)faceOrient == 7 && p > 1)
1146  {
1147  signarray[idx] = p % 2 ? -1 : 1;
1148  }
1149  maparray[idx++] = GetMode(p, 1, r);
1150  }
1151  }
1152  break;
1153 
1154  case 4: // Rear quad
1155  for (r = 0; r < Q; ++r)
1156  {
1157  for (q = 0; q < P; ++q)
1158  {
1159  maparray[arrayindx[r*P+q]] = GetMode(0, q, r);
1160  }
1161  }
1162  break;
1163 
1164  default:
1165  ASSERTL0(false, "Face to element map unavailable.");
1166  }
1167 
1168  if (fid == 1 || fid == 3)
1169  {
1170  if(CheckForZeroedModes)
1171  {
1172  // zero signmap and set maparray to zero if elemental
1173  // modes are not as large as face modesl
1174  idx = 0;
1175  for (j = 0; j < nummodesA; ++j)
1176  {
1177  idx += nummodesB-j;
1178  for (k = nummodesB-j; k < Q-j; ++k)
1179  {
1180  signarray[idx] = 0.0;
1181  maparray[idx++] = maparray[0];
1182  }
1183  }
1184 
1185  for (j = nummodesA; j < P; ++j)
1186  {
1187  for (k = 0; k < Q-j; ++k)
1188  {
1189  signarray[idx] = 0.0;
1190  maparray[idx++] = maparray[0];
1191  }
1192  }
1193  }
1194 
1195 
1196  // Triangles only have one possible orientation (base
1197  // direction reversed); swap edge modes.
1198  if ((int)faceOrient == 7)
1199  {
1200  swap(maparray[0], maparray[P]);
1201  for (i = 1; i < P-1; ++i)
1202  {
1203  swap(maparray[i+1], maparray[P+i]);
1204  }
1205  }
1206  }
1207  else
1208  {
1209 
1210  if(CheckForZeroedModes)
1211  {
1212  // zero signmap and set maparray to zero if elemental
1213  // modes are not as large as face modesl
1214  for (j = 0; j < nummodesA; ++j)
1215  {
1216  for (k = nummodesB; k < Q; ++k)
1217  {
1218  signarray[arrayindx[j+k*P]] = 0.0;
1219  maparray[arrayindx[j+k*P]] = maparray[0];
1220  }
1221  }
1222 
1223  for (j = nummodesA; j < P; ++j)
1224  {
1225  for (k = 0; k < Q; ++k)
1226  {
1227  signarray[arrayindx[j+k*P]] = 0.0;
1228  maparray[arrayindx[j+k*P]] = maparray[0];
1229  }
1230  }
1231  }
1232 
1233  // The code below is exactly the same as that taken from
1234  // StdHexExp and reverses the 'b' and 'a' directions as
1235  // appropriate (1st and 2nd if statements respectively) in
1236  // quadrilateral faces.
1237  if (faceOrient == 6 || faceOrient == 8 ||
1238  faceOrient == 11 || faceOrient == 12)
1239  {
1240  if (faceOrient < 9)
1241  {
1242  for (i = 3; i < Q; i += 2)
1243  {
1244  for (j = 0; j < P; j++)
1245  {
1246  signarray[arrayindx[i*P+j]] *= -1;
1247  }
1248  }
1249 
1250  for (i = 0; i < P; i++)
1251  {
1252  swap(maparray [i], maparray [i+P]);
1253  swap(signarray[i], signarray[i+P]);
1254  }
1255  }
1256  else
1257  {
1258  for (i = 0; i < Q; i++)
1259  {
1260  for (j = 3; j < P; j += 2)
1261  {
1262  signarray[arrayindx[i*P+j]] *= -1;
1263  }
1264  }
1265 
1266  for (i = 0; i < Q; i++)
1267  {
1268  swap (maparray [i], maparray [i+Q]);
1269  swap (signarray[i], signarray[i+Q]);
1270  }
1271  }
1272  }
1273 
1274  if (faceOrient == 7 || faceOrient == 8 ||
1275  faceOrient == 10 || faceOrient == 12)
1276  {
1277  if (faceOrient < 9)
1278  {
1279  for (i = 0; i < Q; i++)
1280  {
1281  for (j = 3; j < P; j += 2)
1282  {
1283  signarray[arrayindx[i*P+j]] *= -1;
1284  }
1285  }
1286 
1287  for(i = 0; i < Q; i++)
1288  {
1289  swap(maparray [i*P], maparray [i*P+1]);
1290  swap(signarray[i*P], signarray[i*P+1]);
1291  }
1292  }
1293  else
1294  {
1295  for (i = 3; i < Q; i += 2)
1296  {
1297  for (j = 0; j < P; j++)
1298  {
1299  signarray[arrayindx[i*P+j]] *= -1;
1300  }
1301  }
1302 
1303  for (i = 0; i < P; i++)
1304  {
1305  swap(maparray [i*Q], maparray [i*Q+1]);
1306  swap(signarray[i*Q], signarray[i*Q+1]);
1307  }
1308  }
1309  }
1310  }
1311  }
ASSERTL0
#define ASSERTL0(condition, msg)
Definition: ErrorUtil.hpp:161
Nektar::LibUtilities::eModified_A
Principle Modified Functions .
Definition: BasisType.h:49
Nektar::StdRegions::StdExpansion::GetEdgeBasisType
LibUtilities::BasisType GetEdgeBasisType(const int i) const
This function returns the type of expansion basis on the i-th edge.
Definition: StdExpansion.h:413
Nektar::LibUtilities::eModified_B
Principle Modified Functions .
Definition: BasisType.h:50
Nektar::StdRegions::StdExpansion::GetFaceNcoeffs
int GetFaceNcoeffs(const int i) const
This function returns the number of expansion coefficients belonging to the i-th face.
Definition: StdExpansion.h:354
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:1891
ASSERTL1
#define ASSERTL1(condition, msg)
Assert Level 1 – Debugging which is used whether in FULLDEBUG or DEBUG compilation mode...
Definition: ErrorUtil.hpp:191
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1422
void Nektar::StdRegions::StdPrismExp::v_GetInteriorMap ( Array< OneD, unsigned int > &  outarray)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::StdRegions::StdNodalPrismExp.

Definition at line 1674 of file StdPrismExp.cpp.

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

1675  {
1676  ASSERTL1(GetBasisType(0) == LibUtilities::eModified_A ||
1677  GetBasisType(0) == LibUtilities::eGLL_Lagrange,
1678  "BasisType is not a boundary interior form");
1679  ASSERTL1(GetBasisType(1) == LibUtilities::eModified_A ||
1680  GetBasisType(1) == LibUtilities::eGLL_Lagrange,
1681  "BasisType is not a boundary interior form");
1682  ASSERTL1(GetBasisType(2) == LibUtilities::eModified_B ||
1683  GetBasisType(2) == LibUtilities::eGLL_Lagrange,
1684  "BasisType is not a boundary interior form");
1685 
1686  int P = m_base[0]->GetNumModes() - 1, p;
1687  int Q = m_base[1]->GetNumModes() - 1, q;
1688  int R = m_base[2]->GetNumModes() - 1, r;
1689 
1690  int nIntCoeffs = m_ncoeffs - NumBndryCoeffs();
1691 
1692  if(outarray.num_elements()!=nIntCoeffs)
1693  {
1694  outarray = Array<OneD, unsigned int>(nIntCoeffs);
1695  }
1696 
1697  int idx = 0;
1698 
1699  // Loop over all interior modes.
1700  for (p = 2; p <= P; ++p)
1701  {
1702  for (q = 2; q <= Q; ++q)
1703  {
1704  for (r = 1; r <= R-p; ++r)
1705  {
1706  outarray[idx++] = GetMode(p,q,r);
1707  }
1708  }
1709  }
1710  }
Nektar::LibUtilities::eModified_A
Principle Modified Functions .
Definition: BasisType.h:49
Nektar::LibUtilities::eModified_B
Principle Modified Functions .
Definition: BasisType.h:50
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:165
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:1891
Nektar::LibUtilities::eGLL_Lagrange
Lagrange for SEM basis .
Definition: BasisType.h:53
ASSERTL1
#define ASSERTL1(condition, msg)
Assert Level 1 – Debugging which is used whether in FULLDEBUG or DEBUG compilation mode...
Definition: ErrorUtil.hpp:191
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1422
int Nektar::StdRegions::StdPrismExp::v_GetNedges ( ) const
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 741 of file StdPrismExp.cpp.

742  {
743  return 9;
744  }
int Nektar::StdRegions::StdPrismExp::v_GetNfaces ( ) const
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 746 of file StdPrismExp.cpp.

747  {
748  return 5;
749  }
int Nektar::StdRegions::StdPrismExp::v_GetNverts ( ) const
protectedvirtual

Implements Nektar::StdRegions::StdExpansion.

Definition at line 736 of file StdPrismExp.cpp.

737  {
738  return 6;
739  }
int Nektar::StdRegions::StdPrismExp::v_GetTotalEdgeIntNcoeffs ( ) const
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 819 of file StdPrismExp.cpp.

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

820  {
821  int P = GetBasisNumModes(0)-2;
822  int Q = GetBasisNumModes(1)-2;
823  int R = GetBasisNumModes(2)-2;
824 
825  return 2*P+3*Q+3*R;
826  }
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:178
int Nektar::StdRegions::StdPrismExp::v_GetTotalFaceIntNcoeffs ( ) const
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 868 of file StdPrismExp.cpp.

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

869  {
870  int Pi = GetBasisNumModes(0) - 2;
871  int Qi = GetBasisNumModes(1) - 2;
872  int Ri = GetBasisNumModes(2) - 2;
873 
874  return Pi * Qi +
875  Pi * (2*Ri - Pi - 1) +
876  2* Qi * Ri;
877  }
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:178
int Nektar::StdRegions::StdPrismExp::v_GetVertexMap ( int  localVertexId,
bool  useCoeffPacking = false 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::StdRegions::StdNodalPrismExp.

Definition at line 1313 of file StdPrismExp.cpp.

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

1314  {
1315  ASSERTL0(GetEdgeBasisType(vId) == LibUtilities::eModified_A ||
1316  GetEdgeBasisType(vId) == LibUtilities::eModified_A ||
1317  GetEdgeBasisType(vId) == LibUtilities::eModified_B,
1318  "Mapping not defined for this type of basis");
1319 
1320  int l = 0;
1321 
1322  if(useCoeffPacking == true) // follow packing of coefficients i.e q,r,p
1323  {
1324  switch (vId)
1325  {
1326  case 0:
1327  l = GetMode(0,0,0);
1328  break;
1329  case 1:
1330  l = GetMode(0,0,1);
1331  break;
1332  case 2:
1333  l = GetMode(0,1,0);
1334  break;
1335  case 3:
1336  l = GetMode(0,1,1);
1337  break;
1338  case 4:
1339  l = GetMode(1,0,0);
1340  break;
1341  case 5:
1342  l = GetMode(1,1,0);
1343  break;
1344  default:
1345  ASSERTL0(false, "local vertex id must be between 0 and 5");
1346  }
1347  }
1348  else
1349  {
1350  switch (vId)
1351  {
1352  case 0:
1353  l = GetMode(0,0,0);
1354  break;
1355  case 1:
1356  l = GetMode(1,0,0);
1357  break;
1358  case 2:
1359  l = GetMode(1,1,0);
1360  break;
1361  case 3:
1362  l = GetMode(0,1,0);
1363  break;
1364  case 4:
1365  l = GetMode(0,0,1);
1366  break;
1367  case 5:
1368  l = GetMode(0,1,1);
1369  break;
1370  default:
1371  ASSERTL0(false, "local vertex id must be between 0 and 5");
1372  }
1373  }
1374 
1375  return l;
1376  }
ASSERTL0
#define ASSERTL0(condition, msg)
Definition: ErrorUtil.hpp:161
Nektar::LibUtilities::eModified_A
Principle Modified Functions .
Definition: BasisType.h:49
Nektar::StdRegions::StdExpansion::GetEdgeBasisType
LibUtilities::BasisType GetEdgeBasisType(const int i) const
This function returns the type of expansion basis on the i-th edge.
Definition: StdExpansion.h:413
Nektar::LibUtilities::eModified_B
Principle Modified Functions .
Definition: BasisType.h:50
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:1891
void Nektar::StdRegions::StdPrismExp::v_IProductWRTBase ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
protectedvirtual

Calculate the inner product of inarray with respect to the basis B=base0*base1*base2 and put into outarray:

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

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

Implements Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::StdRegions::StdNodalPrismExp, and Nektar::LocalRegions::PrismExp.

Definition at line 397 of file StdPrismExp.cpp.

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().

400  {
401  ASSERTL1( (m_base[1]->GetBasisType() != LibUtilities::eOrtho_B) ||
402  (m_base[1]->GetBasisType() != LibUtilities::eModified_B),
403  "Basis[1] is not a general tensor type");
404 
405  ASSERTL1( (m_base[2]->GetBasisType() != LibUtilities::eOrtho_C) ||
406  (m_base[2]->GetBasisType() != LibUtilities::eModified_C),
407  "Basis[2] is not a general tensor type");
408 
409  if(m_base[0]->Collocation() && m_base[1]->Collocation())
410  {
411  MultiplyByQuadratureMetric(inarray,outarray);
412  }
413  else
414  {
415  StdPrismExp::v_IProductWRTBase_SumFac(inarray,outarray);
416  }
417  }
Nektar::LibUtilities::eModified_C
Principle Modified Functions .
Definition: BasisType.h:51
Nektar::StdRegions::StdExpansion::MultiplyByQuadratureMetric
void MultiplyByQuadratureMetric(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
Definition: StdExpansion.h:942
Nektar::LibUtilities::eOrtho_B
Principle Orthogonal Functions .
Definition: BasisType.h:47
Nektar::LibUtilities::eModified_B
Principle Modified Functions .
Definition: BasisType.h:50
Nektar::LibUtilities::eOrtho_C
Principle Orthogonal Functions .
Definition: BasisType.h:48
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:165
ASSERTL1
#define ASSERTL1(condition, msg)
Assert Level 1 – Debugging which is used whether in FULLDEBUG or DEBUG compilation mode...
Definition: ErrorUtil.hpp:191
Nektar::StdRegions::StdPrismExp::v_IProductWRTBase_SumFac
virtual void v_IProductWRTBase_SumFac(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool multiplybyweights=true)
Definition: StdPrismExp.cpp:434
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1422
void Nektar::StdRegions::StdPrismExp::v_IProductWRTBase_MatOp ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
protectedvirtual

Implementation of the local matrix inner product operation.

Definition at line 422 of file StdPrismExp.cpp.

References Nektar::StdRegions::StdExpansion::DetShapeType(), Nektar::StdRegions::eIProductWRTBase, Nektar::StdRegions::StdExpansion::GetStdMatrix(), Nektar::StdRegions::StdExpansion::GetTotPoints(), and Nektar::StdRegions::StdExpansion::m_ncoeffs.

425  {
426  int nq = GetTotPoints();
427  StdMatrixKey iprodmatkey(eIProductWRTBase,DetShapeType(),*this);
428  DNekMatSharedPtr iprodmat = GetStdMatrix(iprodmatkey);
429 
430  Blas::Dgemv('N',m_ncoeffs,nq,1.0,iprodmat->GetPtr().get(),
431  m_ncoeffs, inarray.get(), 1, 0.0, outarray.get(), 1);
432  }
Nektar::StdRegions::StdExpansion::DetShapeType
LibUtilities::ShapeType DetShapeType() const
This function returns the shape of the expansion domain.
Definition: StdExpansion.h:470
Nektar::DNekMatSharedPtr
boost::shared_ptr< DNekMat > DNekMatSharedPtr
Definition: NekTypeDefs.hpp:70
Nektar::StdRegions::StdExpansion::GetStdMatrix
DNekMatSharedPtr GetStdMatrix(const StdMatrixKey &mkey)
Definition: StdExpansion.h:700
Nektar::StdRegions::StdExpansion::GetTotPoints
int GetTotPoints() const
This function returns the total number of quadrature points used in the element.
Definition: StdExpansion.h:141
void Nektar::StdRegions::StdPrismExp::v_IProductWRTBase_SumFac ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray,
bool  multiplybyweights = true 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::StdRegions::StdNodalPrismExp, and Nektar::LocalRegions::PrismExp.

Definition at line 434 of file StdPrismExp.cpp.

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().

438  {
439  int nquad1 = m_base[1]->GetNumPoints();
440  int nquad2 = m_base[2]->GetNumPoints();
441  int order0 = m_base[0]->GetNumModes();
442  int order1 = m_base[1]->GetNumModes();
443 
444  Array<OneD, NekDouble> wsp(order0*nquad2*(nquad1+order1));
445 
446  if(multiplybyweights)
447  {
448  Array<OneD, NekDouble> tmp(inarray.num_elements());
449 
450  MultiplyByQuadratureMetric(inarray,tmp);
451  IProductWRTBase_SumFacKernel(m_base[0]->GetBdata(),
452  m_base[1]->GetBdata(),
453  m_base[2]->GetBdata(),
454  tmp,outarray,wsp,
455  true,true,true);
456  }
457  else
458  {
459  IProductWRTBase_SumFacKernel(m_base[0]->GetBdata(),
460  m_base[1]->GetBdata(),
461  m_base[2]->GetBdata(),
462  inarray,outarray,wsp,
463  true,true,true);
464  }
465  }
Nektar::StdRegions::StdExpansion::MultiplyByQuadratureMetric
void MultiplyByQuadratureMetric(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
Definition: StdExpansion.h:942
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:127
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1422
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 
)
protectedvirtual

Implements Nektar::StdRegions::StdExpansion3D.

Definition at line 467 of file StdPrismExp.cpp.

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

477  {
478  // Interior prism implementation based on Spen's book page
479  // 119. and 608.
480  const int nquad0 = m_base[0]->GetNumPoints();
481  const int nquad1 = m_base[1]->GetNumPoints();
482  const int nquad2 = m_base[2]->GetNumPoints();
483  const int order0 = m_base[0]->GetNumModes ();
484  const int order1 = m_base[1]->GetNumModes ();
485  const int order2 = m_base[2]->GetNumModes ();
486 
487  int i, mode;
488 
489  ASSERTL1(wsp.num_elements() >= nquad1*nquad2*order0 +
490  nquad2*order0*order1,
491  "Insufficient workspace size");
492 
493  Array<OneD, NekDouble> tmp0 = wsp;
494  Array<OneD, NekDouble> tmp1 = wsp + nquad1*nquad2*order0;
495 
496  // Inner product with respect to the '0' direction
497  Blas::Dgemm('T', 'N', nquad1*nquad2, order0, nquad0,
498  1.0, inarray.get(), nquad0,
499  base0.get(), nquad0,
500  0.0, tmp0.get(), nquad1*nquad2);
501 
502  // Inner product with respect to the '1' direction
503  Blas::Dgemm('T', 'N', nquad2*order0, order1, nquad1,
504  1.0, tmp0.get(), nquad1,
505  base1.get(), nquad1,
506  0.0, tmp1.get(), nquad2*order0);
507 
508  // Inner product with respect to the '2' direction
509  for (mode=i=0; i < order0; ++i)
510  {
511  Blas::Dgemm('T', 'N', order2-i, order1, nquad2,
512  1.0, base2.get() + mode*nquad2, nquad2,
513  tmp1.get() + i*nquad2, nquad2*order0,
514  0.0, outarray.get()+mode*order1, order2-i);
515  mode += order2-i;
516  }
517 
518  // Fix top singular vertices; performs phi_{0,q,1} +=
519  // phi_1(xi_1)*phi_q(xi_2)*phi_{01}*phi_r(xi_2).
520  if (m_base[0]->GetBasisType() == LibUtilities::eModified_A)
521  {
522  for (i = 0; i < order1; ++i)
523  {
524  mode = GetMode(0,i,1);
525  outarray[mode] += Blas::Ddot(
526  nquad2, base2.get()+nquad2, 1,
527  tmp1.get()+i*order0*nquad2+nquad2, 1);
528  }
529  }
530  }
Nektar::LibUtilities::eModified_A
Principle Modified Functions .
Definition: BasisType.h:49
Vmath::Ddot
T Ddot(int n, const Array< OneD, const T > &w, const int incw, const Array< OneD, const T > &x, const int incx, const Array< OneD, const int > &y, const int incy)
Definition: VmathArray.hpp:434
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:165
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:1891
ASSERTL1
#define ASSERTL1(condition, msg)
Assert Level 1 – Debugging which is used whether in FULLDEBUG or DEBUG compilation mode...
Definition: ErrorUtil.hpp:191
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1422
void Nektar::StdRegions::StdPrismExp::v_IProductWRTDerivBase ( const int  dir,
const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
protectedvirtual

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

Reimplemented from Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::StdRegions::StdNodalPrismExp, and Nektar::LocalRegions::PrismExp.

Definition at line 536 of file StdPrismExp.cpp.

References v_IProductWRTDerivBase_SumFac().

540  {
541  v_IProductWRTDerivBase_SumFac(dir,inarray,outarray);
542  }
Nektar::StdRegions::StdPrismExp::v_IProductWRTDerivBase_SumFac
virtual void v_IProductWRTDerivBase_SumFac(const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
Definition: StdPrismExp.cpp:574
void Nektar::StdRegions::StdPrismExp::v_IProductWRTDerivBase_MatOp ( const int  dir,
const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
protectedvirtual

Definition at line 544 of file StdPrismExp.cpp.

References ASSERTL0, Nektar::StdRegions::StdExpansion::DetShapeType(), Nektar::StdRegions::eIProductWRTDerivBase0, Nektar::StdRegions::eIProductWRTDerivBase1, Nektar::StdRegions::eIProductWRTDerivBase2, Nektar::StdRegions::StdExpansion::GetStdMatrix(), Nektar::StdRegions::StdExpansion::GetTotPoints(), and Nektar::StdRegions::StdExpansion::m_ncoeffs.

548  {
549  ASSERTL0(dir >= 0 && dir <= 2, "input dir is out of range");
550 
551  int nq = GetTotPoints();
552  MatrixType mtype;
553 
554  switch (dir)
555  {
556  case 0:
557  mtype = eIProductWRTDerivBase0;
558  break;
559  case 1:
560  mtype = eIProductWRTDerivBase1;
561  break;
562  case 2:
563  mtype = eIProductWRTDerivBase2;
564  break;
565  }
566 
567  StdMatrixKey iprodmatkey(mtype,DetShapeType(),*this);
568  DNekMatSharedPtr iprodmat = GetStdMatrix(iprodmatkey);
569 
570  Blas::Dgemv('N',m_ncoeffs,nq,1.0,iprodmat->GetPtr().get(),
571  m_ncoeffs, inarray.get(), 1, 0.0, outarray.get(), 1);
572  }
Nektar::StdRegions::StdExpansion::DetShapeType
LibUtilities::ShapeType DetShapeType() const
This function returns the shape of the expansion domain.
Definition: StdExpansion.h:470
ASSERTL0
#define ASSERTL0(condition, msg)
Definition: ErrorUtil.hpp:161
Nektar::DNekMatSharedPtr
boost::shared_ptr< DNekMat > DNekMatSharedPtr
Definition: NekTypeDefs.hpp:70
Nektar::StdRegions::StdExpansion::GetStdMatrix
DNekMatSharedPtr GetStdMatrix(const StdMatrixKey &mkey)
Definition: StdExpansion.h:700
Nektar::StdRegions::StdExpansion::GetTotPoints
int GetTotPoints() const
This function returns the total number of quadrature points used in the element.
Definition: StdExpansion.h:141
void Nektar::StdRegions::StdPrismExp::v_IProductWRTDerivBase_SumFac ( const int  dir,
const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::StdRegions::StdNodalPrismExp, and Nektar::LocalRegions::PrismExp.

Definition at line 574 of file StdPrismExp.cpp.

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().

578  {
579  ASSERTL0(dir >= 0 && dir <= 2, "input dir is out of range");
580 
581  int i;
582  int order0 = m_base[0]->GetNumModes ();
583  int order1 = m_base[1]->GetNumModes ();
584  int nquad0 = m_base[0]->GetNumPoints();
585  int nquad1 = m_base[1]->GetNumPoints();
586  int nquad2 = m_base[2]->GetNumPoints();
587 
588  const Array<OneD, const NekDouble> &z0 = m_base[0]->GetZ();
589  const Array<OneD, const NekDouble> &z2 = m_base[2]->GetZ();
590  Array<OneD, NekDouble> gfac0(nquad0);
591  Array<OneD, NekDouble> gfac2(nquad2);
592  Array<OneD, NekDouble> tmp0 (nquad0*nquad1*nquad2);
593  Array<OneD, NekDouble> wsp (order0*nquad2*(nquad1+order1));
594 
595  // set up geometric factor: (1+z0)/2
596  for (i = 0; i < nquad0; ++i)
597  {
598  gfac0[i] = 0.5*(1+z0[i]);
599  }
600 
601  // Set up geometric factor: 2/(1-z2)
602  for (i = 0; i < nquad2; ++i)
603  {
604  gfac2[i] = 2.0/(1-z2[i]);
605  }
606 
607  // Scale first derivative term by gfac2.
608  if (dir != 1)
609  {
610  for (i = 0; i < nquad2; ++i)
611  {
612  Vmath::Smul(nquad0*nquad1,gfac2[i],
613  &inarray[0]+i*nquad0*nquad1,1,
614  &tmp0 [0]+i*nquad0*nquad1,1);
615  }
616  MultiplyByQuadratureMetric(tmp0,tmp0);
617  }
618 
619  switch (dir)
620  {
621  case 0:
622  {
623  IProductWRTBase_SumFacKernel(m_base[0]->GetDbdata(),
624  m_base[1]->GetBdata (),
625  m_base[2]->GetBdata (),
626  tmp0,outarray,wsp,
627  true,true,true);
628  break;
629  }
630 
631  case 1:
632  {
633  MultiplyByQuadratureMetric(inarray,tmp0);
634  IProductWRTBase_SumFacKernel(m_base[0]->GetBdata (),
635  m_base[1]->GetDbdata(),
636  m_base[2]->GetBdata (),
637  tmp0,outarray,wsp,
638  true,true,true);
639  break;
640  }
641 
642  case 2:
643  {
644  Array<OneD, NekDouble> tmp1(m_ncoeffs);
645 
646  // Scale eta_1 derivative with gfac0.
647  for(i = 0; i < nquad1*nquad2; ++i)
648  {
649  Vmath::Vmul(nquad0,&gfac0[0],1,&tmp0[0]+i*nquad0,1,&tmp0[0]+i*nquad0,1);
650  }
651 
652  IProductWRTBase_SumFacKernel(m_base[0]->GetDbdata(),
653  m_base[1]->GetBdata(),
654  m_base[2]->GetBdata(),
655  tmp0,tmp1,wsp,
656  true,true,true);
657 
658  MultiplyByQuadratureMetric(inarray, tmp0);
659  IProductWRTBase_SumFacKernel(m_base[0]->GetBdata(),
660  m_base[1]->GetBdata(),
661  m_base[2]->GetDbdata(),
662  tmp0,outarray,wsp,
663  true,true,true);
664 
665  Vmath::Vadd(m_ncoeffs,&tmp1[0],1,&outarray[0],1,&outarray[0],1);
666  break;
667  }
668  }
669  }
ASSERTL0
#define ASSERTL0(condition, msg)
Definition: ErrorUtil.hpp:161
Nektar::StdRegions::StdExpansion::MultiplyByQuadratureMetric
void MultiplyByQuadratureMetric(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
Definition: StdExpansion.h:942
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:127
Vmath::Smul
void Smul(int n, const T alpha, const T *x, const int incx, T *y, const int incy)
Scalar multiply y = alpha*y.
Definition: Vmath.cpp:199
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1422
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.cpp:285
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.cpp:169
bool Nektar::StdRegions::StdPrismExp::v_IsBoundaryInteriorExpansion ( )
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 988 of file StdPrismExp.cpp.

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

989  {
990  return (m_base[0]->GetBasisType() == LibUtilities::eModified_A) &&
991  (m_base[1]->GetBasisType() == LibUtilities::eModified_A) &&
992  (m_base[2]->GetBasisType() == LibUtilities::eModified_B);
993  }
Nektar::LibUtilities::eModified_A
Principle Modified Functions .
Definition: BasisType.h:49
Nektar::LibUtilities::eModified_B
Principle Modified Functions .
Definition: BasisType.h:50
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:165
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1422
void Nektar::StdRegions::StdPrismExp::v_LocCoordToLocCollapsed ( const Array< OneD, const NekDouble > &  xi,
Array< OneD, NekDouble > &  eta 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 678 of file StdPrismExp.cpp.

References Nektar::NekConstants::kNekZeroTol.

681  {
682 
683  if( fabs(xi[2]-1.0) < NekConstants::kNekZeroTol)
684  {
685  // Very top point of the prism
686  eta[0] = -1.0;
687  eta[1] = xi[1];
688  eta[2] = 1.0;
689  }
690  else
691  {
692  // Third basis function collapsed to "pr" direction instead of
693  // "qr" direction
694  eta[2] = xi[2]; // eta_z = xi_z
695  eta[1] = xi[1]; //eta_y = xi_y
696  eta[0] = 2.0*(1.0 + xi[0])/(1.0 - xi[2]) - 1.0;
697  }
698  }
Nektar::NekConstants::kNekZeroTol
static const NekDouble kNekZeroTol
Definition: NektarUnivConsts.hpp:51
void Nektar::StdRegions::StdPrismExp::v_MultiplyByStdQuadratureMetric ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 1901 of file StdPrismExp.cpp.

References Nektar::LibUtilities::eGaussRadauMAlpha1Beta0, Nektar::StdRegions::StdExpansion::GetPointsType(), Nektar::StdRegions::StdExpansion::m_base, and Vmath::Vmul().

1904  {
1905  int i, j;
1906  int nquad0 = m_base[0]->GetNumPoints();
1907  int nquad1 = m_base[1]->GetNumPoints();
1908  int nquad2 = m_base[2]->GetNumPoints();
1909 
1910  const Array<OneD, const NekDouble>& w0 = m_base[0]->GetW();
1911  const Array<OneD, const NekDouble>& w1 = m_base[1]->GetW();
1912  const Array<OneD, const NekDouble>& w2 = m_base[2]->GetW();
1913 
1914  const Array<OneD, const NekDouble>& z2 = m_base[2]->GetZ();
1915 
1916  // Multiply by integration constants in x-direction
1917  for(i = 0; i < nquad1*nquad2; ++i)
1918  {
1919  Vmath::Vmul(nquad0, inarray.get()+i*nquad0, 1,
1920  w0.get(), 1, outarray.get()+i*nquad0,1);
1921  }
1922 
1923  // Multiply by integration constants in y-direction
1924  for(j = 0; j < nquad2; ++j)
1925  {
1926  for(i = 0; i < nquad1; ++i)
1927  {
1928  Blas::Dscal(nquad0,w1[i], &outarray[0]+i*nquad0 +
1929  j*nquad0*nquad1,1);
1930  }
1931  }
1932 
1933  // Multiply by integration constants in z-direction; need to
1934  // incorporate factor (1-eta_3)/2 into weights, but only if using
1935  // GLL quadrature points.
1936  switch(m_base[2]->GetPointsType())
1937  {
1938  // (1,0) Jacobi inner product.
1939  case LibUtilities::eGaussRadauMAlpha1Beta0:
1940  for(i = 0; i < nquad2; ++i)
1941  {
1942  Blas::Dscal(nquad0*nquad1, 0.5*w2[i],
1943  &outarray[0]+i*nquad0*nquad1, 1);
1944  }
1945  break;
1946 
1947  default:
1948  for(i = 0; i < nquad2; ++i)
1949  {
1950  Blas::Dscal(nquad0*nquad1,0.25*(1-z2[i])*w2[i],
1951  &outarray[0]+i*nquad0*nquad1,1);
1952  }
1953  break;
1954  }
1955 
1956  }
Nektar::LibUtilities::eGaussRadauMAlpha1Beta0
Gauss Radau pinned at x=-1, .
Definition: PointsType.h:57
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:216
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1422
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.cpp:169
int Nektar::StdRegions::StdPrismExp::v_NumBndryCoeffs ( ) const
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 760 of file StdPrismExp.cpp.

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

761  {
762  ASSERTL1(GetBasisType(0) == LibUtilities::eModified_A ||
763  GetBasisType(0) == LibUtilities::eGLL_Lagrange,
764  "BasisType is not a boundary interior form");
765  ASSERTL1(GetBasisType(1) == LibUtilities::eModified_A ||
766  GetBasisType(1) == LibUtilities::eGLL_Lagrange,
767  "BasisType is not a boundary interior form");
768  ASSERTL1(GetBasisType(2) == LibUtilities::eModified_B ||
769  GetBasisType(2) == LibUtilities::eGLL_Lagrange,
770  "BasisType is not a boundary interior form");
771 
772  int P = m_base[0]->GetNumModes();
773  int Q = m_base[1]->GetNumModes();
774  int R = m_base[2]->GetNumModes();
775 
776  return LibUtilities::StdPrismData::
777  getNumberOfBndCoefficients(P,Q,R);
778  }
Nektar::LibUtilities::eModified_A
Principle Modified Functions .
Definition: BasisType.h:49
Nektar::LibUtilities::eModified_B
Principle Modified Functions .
Definition: BasisType.h:50
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:165
Nektar::LibUtilities::StdPrismData::getNumberOfBndCoefficients
int getNumberOfBndCoefficients(int Na, int Nb, int Nc)
Definition: ShapeType.hpp:297
Nektar::LibUtilities::eGLL_Lagrange
Lagrange for SEM basis .
Definition: BasisType.h:53
ASSERTL1
#define ASSERTL1(condition, msg)
Assert Level 1 – Debugging which is used whether in FULLDEBUG or DEBUG compilation mode...
Definition: ErrorUtil.hpp:191
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1422
int Nektar::StdRegions::StdPrismExp::v_NumDGBndryCoeffs ( ) const
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 780 of file StdPrismExp.cpp.

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

781  {
782  ASSERTL1(GetBasisType(0) == LibUtilities::eModified_A ||
783  GetBasisType(0) == LibUtilities::eGLL_Lagrange,
784  "BasisType is not a boundary interior form");
785  ASSERTL1(GetBasisType(1) == LibUtilities::eModified_A ||
786  GetBasisType(1) == LibUtilities::eGLL_Lagrange,
787  "BasisType is not a boundary interior form");
788  ASSERTL1(GetBasisType(2) == LibUtilities::eModified_B ||
789  GetBasisType(2) == LibUtilities::eGLL_Lagrange,
790  "BasisType is not a boundary interior form");
791 
792  int P = m_base[0]->GetNumModes()-1;
793  int Q = m_base[1]->GetNumModes()-1;
794  int R = m_base[2]->GetNumModes()-1;
795 
796  return (P+1)*(Q+1) // 1 rect. face on base
797  + 2*(Q+1)*(R+1) // other 2 rect. faces
798  + 2*(R+1) + P*(1 + 2*R - P); // 2 tri. faces
799  }
Nektar::LibUtilities::eModified_A
Principle Modified Functions .
Definition: BasisType.h:49
Nektar::LibUtilities::eModified_B
Principle Modified Functions .
Definition: BasisType.h:50
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:165
Nektar::LibUtilities::eGLL_Lagrange
Lagrange for SEM basis .
Definition: BasisType.h:53
ASSERTL1
#define ASSERTL1(condition, msg)
Assert Level 1 – Debugging which is used whether in FULLDEBUG or DEBUG compilation mode...
Definition: ErrorUtil.hpp:191
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1422
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 
)
protectedvirtual

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 98 of file StdPrismExp.cpp.

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

Referenced by v_PhysDeriv(), and v_StdPhysDeriv().

102  {
103  int Qx = m_base[0]->GetNumPoints();
104  int Qy = m_base[1]->GetNumPoints();
105  int Qz = m_base[2]->GetNumPoints();
106  int Qtot = Qx*Qy*Qz;
107 
108  Array<OneD, NekDouble> dEta_bar1(Qtot,0.0);
109 
110  Array<OneD, const NekDouble> eta_x, eta_z;
111  eta_x = m_base[0]->GetZ();
112  eta_z = m_base[2]->GetZ();
113 
114  int i, k;
115 
116  bool Do_1 = (out_dxi1.num_elements() > 0)? true:false;
117  bool Do_3 = (out_dxi3.num_elements() > 0)? true:false;
118 
119  // out_dXi2 is just a tensor derivative so is just passed through
120  if(Do_3)
121  {
122  PhysTensorDeriv(u_physical, dEta_bar1, out_dxi2, out_dxi3);
123  }
124  else if(Do_1)
125  {
126  PhysTensorDeriv(u_physical, dEta_bar1, out_dxi2, NullNekDouble1DArray);
127  }
128  else // case if just require 2nd direction
129  {
130  PhysTensorDeriv(u_physical, NullNekDouble1DArray,
131  out_dxi2, NullNekDouble1DArray);
132  }
133 
134  if(Do_1)
135  {
136  for (k = 0; k < Qz; ++k)
137  {
138  Vmath::Smul(Qx*Qy,2.0/(1.0-eta_z[k]),&dEta_bar1[0] + k*Qx*Qy,1,
139  &out_dxi1[0] + k*Qx*Qy,1);
140  }
141  }
142 
143  if(Do_3)
144  {
145  // divide dEta_Bar1 by (1-eta_z)
146  for (k = 0; k < Qz; ++k)
147  {
148  Vmath::Smul(Qx*Qy, 1.0/(1.0-eta_z[k]),&dEta_bar1[0]+k*Qx*Qy,1,
149  &dEta_bar1[0]+k*Qx*Qy,1);
150  }
151 
152  // Multiply dEta_Bar1 by (1+eta_x) and add ot out_dxi3
153  for (i = 0; i < Qx; ++i)
154  {
155  Vmath::Svtvp(Qz*Qy,1.0+eta_x[i],&dEta_bar1[0]+i,Qx,
156  &out_dxi3[0]+i,Qx,&out_dxi3[0]+i,Qx);
157  }
158 
159  }
160  }
Nektar::NullNekDouble1DArray
static Array< OneD, NekDouble > NullNekDouble1DArray
Definition: SharedArray.hpp:784
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.cpp:471
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:68
Vmath::Smul
void Smul(int n, const T alpha, const T *x, const int incx, T *y, const int incy)
Scalar multiply y = alpha*y.
Definition: Vmath.cpp:199
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1422
void Nektar::StdRegions::StdPrismExp::v_PhysDeriv ( const int  dir,
const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  out_d0 
)
protectedvirtual

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

See also
StdRegions::StdExpansion::PhysDeriv

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 162 of file StdPrismExp.cpp.

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

165  {
166  switch(dir)
167  {
168  case 0:
169  {
170  v_PhysDeriv(inarray, outarray, NullNekDouble1DArray,
171  NullNekDouble1DArray);
172  break;
173  }
174 
175  case 1:
176  {
177  v_PhysDeriv(inarray, NullNekDouble1DArray, outarray,
178  NullNekDouble1DArray);
179  break;
180  }
181 
182  case 2:
183  {
184  v_PhysDeriv(inarray, NullNekDouble1DArray,
185  NullNekDouble1DArray, outarray);
186  break;
187  }
188 
189  default:
190  {
191  ASSERTL1(false,"input dir is out of range");
192  }
193  break;
194  }
195  }
Nektar::NullNekDouble1DArray
static Array< OneD, NekDouble > NullNekDouble1DArray
Definition: SharedArray.hpp:784
Nektar::StdRegions::StdPrismExp::v_PhysDeriv
virtual void v_PhysDeriv(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1, Array< OneD, NekDouble > &out_d2)
Calculate the derivative of the physical points.
Definition: StdPrismExp.cpp:98
ASSERTL1
#define ASSERTL1(condition, msg)
Assert Level 1 – Debugging which is used whether in FULLDEBUG or DEBUG compilation mode...
Definition: ErrorUtil.hpp:191
void Nektar::StdRegions::StdPrismExp::v_ReduceOrderCoeffs ( int  numMin,
const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 2025 of file StdPrismExp.cpp.

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().

2029  {
2030  int nquad0 = m_base[0]->GetNumPoints();
2031  int nquad1 = m_base[1]->GetNumPoints();
2032  int nquad2 = m_base[2]->GetNumPoints();
2033  int nqtot = nquad0*nquad1*nquad2;
2034  int nmodes0 = m_base[0]->GetNumModes();
2035  int nmodes1 = m_base[1]->GetNumModes();
2036  int nmodes2 = m_base[2]->GetNumModes();
2037  int numMax = nmodes0;
2038 
2039  Array<OneD, NekDouble> coeff (m_ncoeffs);
2040  Array<OneD, NekDouble> coeff_tmp1(m_ncoeffs, 0.0);
2041  Array<OneD, NekDouble> phys_tmp (nqtot, 0.0);
2042  Array<OneD, NekDouble> tmp, tmp2, tmp3, tmp4;
2043 
2044 
2045  const LibUtilities::PointsKey Pkey0 = m_base[0]->GetPointsKey();
2046  const LibUtilities::PointsKey Pkey1 = m_base[1]->GetPointsKey();
2047  const LibUtilities::PointsKey Pkey2 = m_base[2]->GetPointsKey();
2048 
2049  LibUtilities::BasisKey bortho0(
2050  LibUtilities::eOrtho_A, nmodes0, Pkey0);
2051  LibUtilities::BasisKey bortho1(
2052  LibUtilities::eOrtho_A, nmodes1, Pkey1);
2053  LibUtilities::BasisKey bortho2(
2054  LibUtilities::eOrtho_B, nmodes2, Pkey2);
2055 
2056  int cnt = 0;
2057  int u = 0;
2058  int i = 0;
2059  StdRegions::StdPrismExpSharedPtr OrthoPrismExp;
2060 
2061  OrthoPrismExp = MemoryManager<StdRegions::StdPrismExp>
2062  ::AllocateSharedPtr(bortho0, bortho1, bortho2);
2063 
2064  BwdTrans(inarray,phys_tmp);
2065  OrthoPrismExp->FwdTrans(phys_tmp, coeff);
2066 
2067  // filtering
2068  for (u = 0; u < numMin; ++u)
2069  {
2070  for (i = 0; i < numMin; ++i)
2071  {
2072  Vmath::Vcopy(numMin - u, tmp = coeff + cnt, 1,
2073  tmp2 = coeff_tmp1 + cnt, 1);
2074  cnt += numMax - u;
2075  }
2076 
2077  for (i = numMin; i < numMax; ++i)
2078  {
2079  cnt += numMax - u;
2080  }
2081  }
2082 
2083  OrthoPrismExp->BwdTrans(coeff_tmp1, phys_tmp);
2084  StdPrismExp::FwdTrans(phys_tmp, outarray);
2085  }
Nektar::MemoryManager::AllocateSharedPtr
static boost::shared_ptr< DataType > AllocateSharedPtr()
Allocate a shared pointer from the memory pool.
Definition: NekMemoryManager.hpp:235
Nektar::StdRegions::StdPrismExpSharedPtr
boost::shared_ptr< StdPrismExp > StdPrismExpSharedPtr
Definition: StdPrismExp.h:253
Nektar::LibUtilities::eOrtho_B
Principle Orthogonal Functions .
Definition: BasisType.h:47
Nektar::LibUtilities::eOrtho_A
Principle Orthogonal Functions .
Definition: BasisType.h:46
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:525
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1422
Vmath::Vcopy
void Vcopy(int n, const T *x, const int incx, T *y, const int incy)
Definition: Vmath.cpp:1047
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:1905
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 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 197 of file StdPrismExp.cpp.

References v_PhysDeriv().

201  {
202  StdPrismExp::v_PhysDeriv(inarray, out_d0, out_d1, out_d2);
203  }
Nektar::StdRegions::StdPrismExp::v_PhysDeriv
virtual void v_PhysDeriv(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1, Array< OneD, NekDouble > &out_d2)
Calculate the derivative of the physical points.
Definition: StdPrismExp.cpp:98
void Nektar::StdRegions::StdPrismExp::v_StdPhysDeriv ( const int  dir,
const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 205 of file StdPrismExp.cpp.

References v_PhysDeriv().

208  {
209  StdPrismExp::v_PhysDeriv(dir, inarray, outarray);
210  }
Nektar::StdRegions::StdPrismExp::v_PhysDeriv
virtual void v_PhysDeriv(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1, Array< OneD, NekDouble > &out_d2)
Calculate the derivative of the physical points.
Definition: StdPrismExp.cpp:98
void Nektar::StdRegions::StdPrismExp::v_SVVLaplacianFilter ( Array< OneD, NekDouble > &  array,
const StdMatrixKey &  mkey 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::LocalRegions::PrismExp.

Definition at line 1958 of file StdPrismExp.cpp.

References Nektar::StdRegions::StdExpansion::BwdTrans(), Nektar::StdRegions::eFactorSVVCutoffRatio, Nektar::StdRegions::eFactorSVVDiffCoeff, Nektar::LibUtilities::eOrtho_A, Nektar::LibUtilities::eOrtho_B, Nektar::StdRegions::StdExpansion::FwdTrans(), Nektar::StdRegions::StdMatrixKey::GetConstFactor(), Nektar::StdRegions::StdExpansion::GetNcoeffs(), Nektar::StdRegions::StdExpansion::GetPointsType(), and Nektar::StdRegions::StdExpansion::m_base.

1960  {
1961  // Generate an orthonogal expansion
1962  int qa = m_base[0]->GetNumPoints();
1963  int qb = m_base[1]->GetNumPoints();
1964  int qc = m_base[2]->GetNumPoints();
1965  int nmodes_a = m_base[0]->GetNumModes();
1966  int nmodes_b = m_base[1]->GetNumModes();
1967  int nmodes_c = m_base[2]->GetNumModes();
1968  // Declare orthogonal basis.
1969  LibUtilities::PointsKey pa(qa,m_base[0]->GetPointsType());
1970  LibUtilities::PointsKey pb(qb,m_base[1]->GetPointsType());
1971  LibUtilities::PointsKey pc(qc,m_base[2]->GetPointsType());
1972 
1973  LibUtilities::BasisKey Ba(LibUtilities::eOrtho_A,nmodes_a,pa);
1974  LibUtilities::BasisKey Bb(LibUtilities::eOrtho_A,nmodes_b,pb);
1975  LibUtilities::BasisKey Bc(LibUtilities::eOrtho_B,nmodes_c,pc);
1976  StdPrismExp OrthoExp(Ba,Bb,Bc);
1977 
1978  Array<OneD, NekDouble> orthocoeffs(OrthoExp.GetNcoeffs());
1979  int i,j,k,cnt = 0;
1980 
1981  //SVV filter paramaters (how much added diffusion relative to physical one
1982  // and fraction of modes from which you start applying this added diffusion)
1983  //
1984  NekDouble SvvDiffCoeff = mkey.GetConstFactor(StdRegions::eFactorSVVDiffCoeff);
1985  NekDouble SVVCutOff = mkey.GetConstFactor(StdRegions::eFactorSVVCutoffRatio);
1986 
1987  //Defining the cut of mode
1988  int cutoff_a = (int) (SVVCutOff*nmodes_a);
1989  int cutoff_b = (int) (SVVCutOff*nmodes_b);
1990  int cutoff_c = (int) (SVVCutOff*nmodes_c);
1991  //To avoid the fac[j] from blowing up
1992  NekDouble epsilon = 1;
1993 
1994  // project onto modal space.
1995  OrthoExp.FwdTrans(array,orthocoeffs);
1996  int nmodes = min(min(nmodes_a,nmodes_b),nmodes_c);
1997  NekDouble cutoff = min(min(cutoff_a,cutoff_b),cutoff_c);
1998 
1999  //------"New" Version August 22nd '13--------------------
2000  for(i = 0; i < nmodes_a; ++i)//P
2001  {
2002  for(j = 0; j < nmodes_b; ++j) //Q
2003  {
2004  for(k = 0; k < nmodes_c-i; ++k) //R
2005  {
2006  if(j >= cutoff || i + k >= cutoff)
2007  {
2008  orthocoeffs[cnt] *= (SvvDiffCoeff*exp(-(i+k-nmodes)*(i+k-nmodes)/((NekDouble)((i+k-cutoff+epsilon)*(i+k-cutoff+epsilon))))*exp(-(j-nmodes)*(j-nmodes)/((NekDouble)((j-cutoff+epsilon)*(j-cutoff+epsilon)))));
2009  }
2010  else
2011  {
2012  orthocoeffs[cnt] *= 0.0;
2013  }
2014  cnt++;
2015  }
2016  }
2017  }
2018 
2019  // backward transform to physical space
2020  OrthoExp.BwdTrans(orthocoeffs,array);
2021  }
Nektar::LibUtilities::eOrtho_B
Principle Orthogonal Functions .
Definition: BasisType.h:47
Nektar::LibUtilities::eOrtho_A
Principle Orthogonal Functions .
Definition: BasisType.h:46
Nektar::NekDouble
double NekDouble
Definition: NektarUnivTypeDefs.hpp:44
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:216
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1422
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