#include <PrismExp.h>
Inheritance diagram for Nektar::LocalRegions::PrismExp:
Public Member Functions | |
| PrismExp (const LibUtilities::BasisKey &Ba, const LibUtilities::BasisKey &Bb, const LibUtilities::BasisKey &Bc, const SpatialDomains::PrismGeomSharedPtr &geom) | |
| Constructor using BasisKey class for quadrature points and order definition. More... | |
| PrismExp (const PrismExp &T) | |
| ~PrismExp () override=default | |
 Public Member Functions inherited from Nektar::StdRegions::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)=default | |
| ~StdPrismExp () override=default | |
| Public Member Functions inherited from Nektar::StdRegions::StdExpansion3D | |
| StdExpansion3D (int numcoeffs, const LibUtilities::BasisKey &Ba, const LibUtilities::BasisKey &Bb, const LibUtilities::BasisKey &Bc) | |
| StdExpansion3D ()=default | |
| StdExpansion3D (const StdExpansion3D &T)=default | |
| ~StdExpansion3D () override=default | |
| void | PhysTensorDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray_d1, Array< OneD, NekDouble > &outarray_d2, Array< OneD, NekDouble > &outarray_d3) |
| Calculate the 3D derivative in the local tensor/collapsed coordinate at the physical points. More... | |
| void | BwdTrans_SumFacKernel (const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &base2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0, bool doCheckCollDir1, bool doCheckCollDir2) |
| void | IProductWRTBase_SumFacKernel (const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &base2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0, bool doCheckCollDir1, bool doCheckCollDir2) |
| int | GetNedges () const |
| return the number of edges in 3D expansion More... | |
| int | GetEdgeNcoeffs (const int i) const |
| This function returns the number of expansion coefficients belonging to the i-th edge. More... | |
| void | GetEdgeInteriorToElementMap (const int tid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, Orientation traceOrient=eForwards) |
| Public Member Functions inherited from Nektar::StdRegions::StdExpansion | |
| StdExpansion () | |
| Default Constructor. More... | |
| StdExpansion (const int numcoeffs, const int numbases, const LibUtilities::BasisKey &Ba=LibUtilities::NullBasisKey, const LibUtilities::BasisKey &Bb=LibUtilities::NullBasisKey, const LibUtilities::BasisKey &Bc=LibUtilities::NullBasisKey) | |
| Constructor. More... | |
| StdExpansion (const StdExpansion &T) | |
| Copy Constructor. More... | |
| virtual | ~StdExpansion () |
| Destructor. More... | |
| int | GetNumBases () const |
| This function returns the number of 1D bases used in the expansion. More... | |
| const Array< OneD, const LibUtilities::BasisSharedPtr > & | GetBase () const |
| This function gets the shared point to basis. More... | |
| const LibUtilities::BasisSharedPtr & | GetBasis (int dir) const |
| This function gets the shared point to basis in the dir direction. More... | |
| int | GetNcoeffs (void) const |
| This function returns the total number of coefficients used in the expansion. More... | |
| int | GetTotPoints () const |
| This function returns the total number of quadrature points used in the element. More... | |
| LibUtilities::BasisType | GetBasisType (const int dir) const |
| This function returns the type of basis used in the dir direction. More... | |
| int | GetBasisNumModes (const int dir) const |
| This function returns the number of expansion modes in the dir direction. More... | |
| int | EvalBasisNumModesMax (void) const |
| This function returns the maximum number of expansion modes over all local directions. More... | |
| LibUtilities::PointsType | GetPointsType (const int dir) const |
| This function returns the type of quadrature points used in the dir direction. More... | |
| int | GetNumPoints (const int dir) const |
| This function returns the number of quadrature points in the dir direction. More... | |
| const Array< OneD, const NekDouble > & | GetPoints (const int dir) const |
| This function returns a pointer to the array containing the quadrature points in dir direction. More... | |
| int | GetNverts () const |
| This function returns the number of vertices of the expansion domain. More... | |
| int | GetTraceNcoeffs (const int i) const |
| This function returns the number of expansion coefficients belonging to the i-th trace. More... | |
| int | GetTraceIntNcoeffs (const int i) const |
| int | GetTraceNumPoints (const int i) const |
| This function returns the number of quadrature points belonging to the i-th trace. More... | |
| const LibUtilities::BasisKey | GetTraceBasisKey (const int i, int k=-1) const |
| This function returns the basis key belonging to the i-th trace. More... | |
| LibUtilities::PointsKey | GetTracePointsKey (const int i, int k=-1) const |
| This function returns the basis key belonging to the i-th trace. More... | |
| int | NumBndryCoeffs (void) const |
| int | NumDGBndryCoeffs (void) const |
| const LibUtilities::PointsKey | GetNodalPointsKey () const |
| This function returns the type of expansion Nodal point type if defined. More... | |
| int | GetNtraces () const |
| Returns the number of trace elements connected to this element. More... | |
| LibUtilities::ShapeType | DetShapeType () const |
| This function returns the shape of the expansion domain. More... | |
| std::shared_ptr< StdExpansion > | GetStdExp () const |
| std::shared_ptr< StdExpansion > | GetLinStdExp (void) const |
| int | GetShapeDimension () const |
| bool | IsBoundaryInteriorExpansion () const |
| bool | IsNodalNonTensorialExp () |
| void | BwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
| This function performs the Backward transformation from coefficient space to physical space. More... | |
| void | FwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
| This function performs the Forward transformation from physical space to coefficient space. More... | |
| void | FwdTransBndConstrained (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
| NekDouble | Integral (const Array< OneD, const NekDouble > &inarray) |
| This function integrates the specified function over the domain. More... | |
| void | FillMode (const int mode, Array< OneD, NekDouble > &outarray) |
| This function fills the array outarray with the mode-th mode of the expansion. More... | |
| void | IProductWRTBase (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
| this function calculates the inner product of a given function f with the different modes of the expansion More... | |
| void | IProductWRTBase (const Array< OneD, const NekDouble > &base, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, int coll_check) |
| void | IProductWRTDerivBase (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
| void | IProductWRTDirectionalDerivBase (const Array< OneD, const NekDouble > &direction, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
| int | GetElmtId () |
| Get the element id of this expansion when used in a list by returning value of m_elmt_id. More... | |
| void | SetElmtId (const int id) |
| Set the element id of this expansion when used in a list by returning value of m_elmt_id. More... | |
| void | GetCoords (Array< OneD, NekDouble > &coords_1, Array< OneD, NekDouble > &coords_2=NullNekDouble1DArray, Array< OneD, NekDouble > &coords_3=NullNekDouble1DArray) |
| this function returns the physical coordinates of the quadrature points of the expansion More... | |
| void | GetCoord (const Array< OneD, const NekDouble > &Lcoord, Array< OneD, NekDouble > &coord) |
| given the coordinates of a point of the element in the local collapsed coordinate system, this function calculates the physical coordinates of the point More... | |
| DNekMatSharedPtr | GetStdMatrix (const StdMatrixKey &mkey) |
| DNekBlkMatSharedPtr | GetStdStaticCondMatrix (const StdMatrixKey &mkey) |
| void | NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, Array< OneD, NekDouble > &outarray) |
| void | NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, const Array< OneD, NekDouble > &Fy, Array< OneD, NekDouble > &outarray) |
| void | NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, const Array< OneD, const NekDouble > &Fz, Array< OneD, NekDouble > &outarray) |
| void | NormVectorIProductWRTBase (const Array< OneD, const Array< OneD, NekDouble > > &Fvec, Array< OneD, NekDouble > &outarray) |
| DNekScalBlkMatSharedPtr | GetLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey) |
| void | DropLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey) |
| int | CalcNumberOfCoefficients (const std::vector< unsigned int > &nummodes, int &modes_offset) |
| NekDouble | StdPhysEvaluate (const Array< OneD, const NekDouble > &Lcoord, const Array< OneD, const NekDouble > &physvals) |
| int | GetCoordim () |
| void | GetBoundaryMap (Array< OneD, unsigned int > &outarray) |
| void | GetInteriorMap (Array< OneD, unsigned int > &outarray) |
| int | GetVertexMap (const int localVertexId, bool useCoeffPacking=false) |
| void | GetTraceToElementMap (const int tid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, Orientation traceOrient=eForwards, int P=-1, int Q=-1) |
| void | GetTraceCoeffMap (const unsigned int traceid, Array< OneD, unsigned int > &maparray) |
| void | GetElmtTraceToTraceMap (const unsigned int tid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, Orientation traceOrient=eForwards, int P=-1, int Q=-1) |
| void | GetTraceInteriorToElementMap (const int tid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, const Orientation traceOrient=eForwards) |
| void | GetTraceNumModes (const int tid, int &numModes0, int &numModes1, const Orientation traceOrient=eDir1FwdDir1_Dir2FwdDir2) |
| void | MultiplyByQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
| void | MultiplyByStdQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
| DNekMatSharedPtr | CreateGeneralMatrix (const StdMatrixKey &mkey) |
| this function generates the mass matrix \(\mathbf{M}[i][j] =
\int \phi_i(\mathbf{x}) \phi_j(\mathbf{x}) d\mathbf{x}\) More... | |
| void | GeneralMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) |
| void | MassMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) |
| void | LaplacianMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) |
| void | ReduceOrderCoeffs (int numMin, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
| void | SVVLaplacianFilter (Array< OneD, NekDouble > &array, const StdMatrixKey &mkey) |
| void | ExponentialFilter (Array< OneD, NekDouble > &array, const NekDouble alpha, const NekDouble exponent, const NekDouble cutoff) |
| void | LaplacianMatrixOp (const int k1, const int k2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) |
| void | WeakDerivMatrixOp (const int i, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) |
| void | WeakDirectionalDerivMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) |
| void | MassLevelCurvatureMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) |
| void | LinearAdvectionMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) |
| void | LinearAdvectionDiffusionReactionMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey, bool addDiffusionTerm=true) |
| void | HelmholtzMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) |
| DNekMatSharedPtr | GenMatrix (const StdMatrixKey &mkey) |
| void | PhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1=NullNekDouble1DArray, Array< OneD, NekDouble > &out_d2=NullNekDouble1DArray) |
| void | PhysDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
| void | PhysDeriv_s (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_ds) |
| void | PhysDeriv_n (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_dn) |
| void | PhysDirectionalDeriv (const Array< OneD, const NekDouble > &inarray, const Array< OneD, const NekDouble > &direction, Array< OneD, NekDouble > &outarray) |
| void | StdPhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1=NullNekDouble1DArray, Array< OneD, NekDouble > &out_d2=NullNekDouble1DArray) |
| void | StdPhysDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
| NekDouble | PhysEvaluate (const Array< OneD, const NekDouble > &coords, const Array< OneD, const NekDouble > &physvals) |
| This function evaluates the expansion at a single (arbitrary) point of the domain. More... | |
| NekDouble | PhysEvaluate (const Array< OneD, NekDouble > &coord, const Array< OneD, const NekDouble > &inarray, std::array< NekDouble, 3 > &firstOrderDerivs) |
| This function evaluates the first derivative of the expansion at a single (arbitrary) point of the domain. More... | |
| NekDouble | PhysEvaluate (const Array< OneD, NekDouble > &coord, const Array< OneD, const NekDouble > &inarray, std::array< NekDouble, 3 > &firstOrderDerivs, std::array< NekDouble, 6 > &secondOrderDerivs) |
| NekDouble | PhysEvaluate (const Array< OneD, DNekMatSharedPtr > &I, const Array< OneD, const NekDouble > &physvals) |
| This function evaluates the expansion at a single (arbitrary) point of the domain. More... | |
| NekDouble | PhysEvaluateBasis (const Array< OneD, const NekDouble > &coords, int mode) |
This function evaluates the basis function mode mode at a point coords of the domain. More... | |
| void | LocCoordToLocCollapsed (const Array< OneD, const NekDouble > &xi, Array< OneD, NekDouble > &eta) |
| Convert local cartesian coordinate xi into local collapsed coordinates eta. More... | |
| void | LocCollapsedToLocCoord (const Array< OneD, const NekDouble > &eta, Array< OneD, NekDouble > &xi) |
| Convert local collapsed coordinates eta into local cartesian coordinate xi. More... | |
| virtual int | v_CalcNumberOfCoefficients (const std::vector< unsigned int > &nummodes, int &modes_offset) |
| virtual void | v_NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, Array< OneD, NekDouble > &outarray) |
| virtual void | v_NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, Array< OneD, NekDouble > &outarray) |
| virtual void | v_NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, const Array< OneD, const NekDouble > &Fz, Array< OneD, NekDouble > &outarray) |
| virtual void | v_NormVectorIProductWRTBase (const Array< OneD, const Array< OneD, NekDouble > > &Fvec, Array< OneD, NekDouble > &outarray) |
| virtual DNekScalBlkMatSharedPtr | v_GetLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey) |
| virtual void | v_DropLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey) |
| NekDouble | Linf (const Array< OneD, const NekDouble > &phys, const Array< OneD, const NekDouble > &sol=NullNekDouble1DArray) |
| Function to evaluate the discrete \( L_\infty\) error \( |\epsilon|_\infty = \max |u - u_{exact}|\) where \(
u_{exact}\) is given by the array sol. More... | |
| NekDouble | L2 (const Array< OneD, const NekDouble > &phys, const Array< OneD, const NekDouble > &sol=NullNekDouble1DArray) |
| Function to evaluate the discrete \( L_2\) error, \( | \epsilon |_{2} = \left [ \int^1_{-1} [u - u_{exact}]^2
dx \right]^{1/2} d\xi_1 \) where \( u_{exact}\) is given by the array sol. More... | |
| NekDouble | H1 (const Array< OneD, const NekDouble > &phys, const Array< OneD, const NekDouble > &sol=NullNekDouble1DArray) |
| Function to evaluate the discrete \( H^1\) error, \( | \epsilon |^1_{2} = \left [ \int^1_{-1} [u -
u_{exact}]^2 + \nabla(u - u_{exact})\cdot\nabla(u -
u_{exact})\cdot dx \right]^{1/2} d\xi_1 \) where \(
u_{exact}\) is given by the array sol. More... | |
| const LibUtilities::PointsKeyVector | GetPointsKeys () const |
| DNekMatSharedPtr | BuildInverseTransformationMatrix (const DNekScalMatSharedPtr &m_transformationmatrix) |
| void | PhysInterpToSimplexEquiSpaced (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, int npset=-1) |
| This function performs an interpolation from the physical space points provided at input into an array of equispaced points which are not the collapsed coordinate. So for a tetrahedron you will only get a tetrahedral number of values. More... | |
| void | GetSimplexEquiSpacedConnectivity (Array< OneD, int > &conn, bool standard=true) |
| This function provides the connectivity of local simplices (triangles or tets) to connect the equispaced data points provided by PhysInterpToSimplexEquiSpaced. More... | |
| void | EquiSpacedToCoeffs (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
| This function performs a projection/interpolation from the equispaced points sometimes used in post-processing onto the coefficient space. More... | |
| template<class T > | |
| std::shared_ptr< T > | as () |
| void | IProductWRTBase_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool multiplybyweights=true) |
| void | GenStdMatBwdDeriv (const int dir, DNekMatSharedPtr &mat) |
| Public Member Functions inherited from Nektar::LocalRegions::Expansion3D | |
| Expansion3D (SpatialDomains::Geometry3DSharedPtr pGeom) | |
| ~Expansion3D () override=default | |
| void | SetTraceToGeomOrientation (Array< OneD, NekDouble > &inout) |
| Align trace orientation with the geometry orientation. More... | |
| void | SetFaceToGeomOrientation (const int face, Array< OneD, NekDouble > &inout) |
| Align face orientation with the geometry orientation. More... | |
| void | AddHDGHelmholtzFaceTerms (const NekDouble tau, const int edge, Array< OneD, NekDouble > &facePhys, const StdRegions::VarCoeffMap &dirForcing, Array< OneD, NekDouble > &outarray) |
| void | AddNormTraceInt (const int dir, Array< OneD, ExpansionSharedPtr > &FaceExp, Array< OneD, Array< OneD, NekDouble > > &faceCoeffs, Array< OneD, NekDouble > &outarray) |
| void | AddNormTraceInt (const int dir, Array< OneD, const NekDouble > &inarray, Array< OneD, ExpansionSharedPtr > &FaceExp, Array< OneD, NekDouble > &outarray, const StdRegions::VarCoeffMap &varcoeffs) |
| void | AddFaceBoundaryInt (const int face, ExpansionSharedPtr &FaceExp, Array< OneD, NekDouble > &facePhys, Array< OneD, NekDouble > &outarray, const StdRegions::VarCoeffMap &varcoeffs=StdRegions::NullVarCoeffMap) |
| SpatialDomains::Geometry3DSharedPtr | GetGeom3D () const |
| void | v_ReOrientTracePhysMap (const StdRegions::Orientation orient, Array< OneD, int > &idmap, const int nq0, const int nq1) override |
| void | v_NormVectorIProductWRTBase (const Array< OneD, const Array< OneD, NekDouble > > &Fvec, Array< OneD, NekDouble > &outarray) override |
| Array< OneD, unsigned int > | GetEdgeInverseBoundaryMap (int eid) |
| Array< OneD, unsigned int > | GetTraceInverseBoundaryMap (int fid, StdRegions::Orientation faceOrient=StdRegions::eNoOrientation, int P1=-1, int P2=-1) |
| void | GetInverseBoundaryMaps (Array< OneD, unsigned int > &vmap, Array< OneD, Array< OneD, unsigned int > > &emap, Array< OneD, Array< OneD, unsigned int > > &fmap) |
| DNekScalMatSharedPtr | CreateMatrix (const MatrixKey &mkey) |
| Public Member Functions inherited from Nektar::LocalRegions::Expansion | |
| Expansion (SpatialDomains::GeometrySharedPtr pGeom) | |
| Expansion (const Expansion &pSrc) | |
| ~Expansion () override | |
| void | SetTraceExp (const int traceid, ExpansionSharedPtr &f) |
| ExpansionSharedPtr | GetTraceExp (const int traceid) |
| DNekScalMatSharedPtr | GetLocMatrix (const LocalRegions::MatrixKey &mkey) |
| void | DropLocMatrix (const LocalRegions::MatrixKey &mkey) |
| DNekScalMatSharedPtr | GetLocMatrix (const StdRegions::MatrixType mtype, const StdRegions::ConstFactorMap &factors=StdRegions::NullConstFactorMap, const StdRegions::VarCoeffMap &varcoeffs=StdRegions::NullVarCoeffMap) |
| SpatialDomains::GeometrySharedPtr | GetGeom () const |
| void | Reset () |
| IndexMapValuesSharedPtr | CreateIndexMap (const IndexMapKey &ikey) |
| DNekScalBlkMatSharedPtr | CreateStaticCondMatrix (const MatrixKey &mkey) |
| const SpatialDomains::GeomFactorsSharedPtr & | GetMetricInfo () const |
| DNekMatSharedPtr | BuildTransformationMatrix (const DNekScalMatSharedPtr &r_bnd, const StdRegions::MatrixType matrixType) |
| DNekMatSharedPtr | BuildVertexMatrix (const DNekScalMatSharedPtr &r_bnd) |
| void | ExtractDataToCoeffs (const NekDouble *data, const std::vector< unsigned int > &nummodes, const int nmodes_offset, NekDouble *coeffs, std::vector< LibUtilities::BasisType > &fromType) |
| void | AddEdgeNormBoundaryInt (const int edge, const std::shared_ptr< Expansion > &EdgeExp, const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, Array< OneD, NekDouble > &outarray) |
| void | AddEdgeNormBoundaryInt (const int edge, const std::shared_ptr< Expansion > &EdgeExp, const Array< OneD, const NekDouble > &Fn, Array< OneD, NekDouble > &outarray) |
| void | AddFaceNormBoundaryInt (const int face, const std::shared_ptr< Expansion > &FaceExp, const Array< OneD, const NekDouble > &Fn, Array< OneD, NekDouble > &outarray) |
| void | DGDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, ExpansionSharedPtr > &EdgeExp, Array< OneD, Array< OneD, NekDouble > > &coeffs, Array< OneD, NekDouble > &outarray) |
| NekDouble | VectorFlux (const Array< OneD, Array< OneD, NekDouble > > &vec) |
| void | NormalTraceDerivFactors (Array< OneD, Array< OneD, NekDouble > > &factors, Array< OneD, Array< OneD, NekDouble > > &d0factors, Array< OneD, Array< OneD, NekDouble > > &d1factors) |
| IndexMapValuesSharedPtr | GetIndexMap (const IndexMapKey &ikey) |
| void | AlignVectorToCollapsedDir (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray) |
| ExpansionSharedPtr | GetLeftAdjacentElementExp () const |
| ExpansionSharedPtr | GetRightAdjacentElementExp () const |
| int | GetLeftAdjacentElementTrace () const |
| int | GetRightAdjacentElementTrace () const |
| void | SetAdjacentElementExp (int traceid, ExpansionSharedPtr &e) |
| StdRegions::Orientation | GetTraceOrient (int trace) |
| void | SetCoeffsToOrientation (StdRegions::Orientation dir, Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
| void | DivideByQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
| Divided by the metric jacobi and quadrature weights. More... | |
| void | GetTraceQFactors (const int trace, 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 | GetTracePhysVals (const int trace, const StdRegions::StdExpansionSharedPtr &TraceExp, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, StdRegions::Orientation orient=StdRegions::eNoOrientation) |
| void | GetTracePhysMap (const int edge, Array< OneD, int > &outarray) |
| void | ReOrientTracePhysMap (const StdRegions::Orientation orient, Array< OneD, int > &idmap, const int nq0, const int nq1) |
| const NormalVector & | GetTraceNormal (const int id) |
| void | ComputeTraceNormal (const int id) |
| const Array< OneD, const NekDouble > & | GetPhysNormals (void) |
| void | SetPhysNormals (Array< OneD, const NekDouble > &normal) |
| void | SetUpPhysNormals (const int trace) |
| void | AddRobinMassMatrix (const int traceid, const Array< OneD, const NekDouble > &primCoeffs, DNekMatSharedPtr &inoutmat) |
| void | TraceNormLen (const int traceid, NekDouble &h, NekDouble &p) |
| void | AddRobinTraceContribution (const int traceid, const Array< OneD, const NekDouble > &primCoeffs, const Array< OneD, NekDouble > &incoeffs, Array< OneD, NekDouble > &coeffs) |
| const Array< OneD, const NekDouble > & | GetElmtBndNormDirElmtLen (const int nbnd) const |
| void | StdDerivBaseOnTraceMat (Array< OneD, DNekMatSharedPtr > &DerivMat) |
Protected Member Functions | |
| NekDouble | v_Integral (const Array< OneD, const NekDouble > &inarray) override |
| Integrate the physical point list inarray over prismatic region and return the value. More... | |
| void | v_PhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1, Array< OneD, NekDouble > &out_d2) override |
| Calculate the derivative of the physical points. More... | |
| void | v_FwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override |
| Forward transform from physical quadrature space stored in inarray and evaluate the expansion coefficients and store in (this)->m_coeffs. More... | |
| void | v_IProductWRTBase (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override |
| Calculate the inner product of inarray with respect to the basis B=base0*base1*base2 and put into outarray: More... | |
| void | v_IProductWRTBase_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool multiplybyweights=true) override |
| void | v_IProductWRTDerivBase (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override |
| Calculates the inner product \( I_{pqr} = (u,
\partial_{x_i} \phi_{pqr}) \). More... | |
| void | v_IProductWRTDerivBase_SumFac (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override |
| void | v_AlignVectorToCollapsedDir (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray) override |
| void | v_GetCoord (const Array< OneD, const NekDouble > &Lcoords, Array< OneD, NekDouble > &coords) override |
| Get the coordinates #coords at the local coordinates #Lcoords. More... | |
| void | v_GetCoords (Array< OneD, NekDouble > &coords_1, Array< OneD, NekDouble > &coords_2, Array< OneD, NekDouble > &coords_3) override |
| NekDouble | v_StdPhysEvaluate (const Array< OneD, const NekDouble > &Lcoord, const Array< OneD, const NekDouble > &physvals) override |
| NekDouble | v_PhysEvaluate (const Array< OneD, const NekDouble > &coord, const Array< OneD, const NekDouble > &physvals) override |
| This function evaluates the expansion at a single (arbitrary) point of the domain. More... | |
| NekDouble | v_PhysEvaluate (const Array< OneD, NekDouble > &coord, const Array< OneD, const NekDouble > &inarray, std::array< NekDouble, 3 > &firstOrderDerivs) override |
| StdRegions::StdExpansionSharedPtr | v_GetStdExp (void) const override |
| StdRegions::StdExpansionSharedPtr | v_GetLinStdExp (void) const override |
| void | v_ExtractDataToCoeffs (const NekDouble *data, const std::vector< unsigned int > &nummodes, const int mode_offset, NekDouble *coeffs, std::vector< LibUtilities::BasisType > &fromType) override |
| void | v_GetTracePhysMap (const int face, Array< OneD, int > &outarray) override |
| void | v_ComputeTraceNormal (const int face) override |
| Get the normals along specficied face Get the face normals interplated to a points0 x points 0 type distribution. More... | |
| void | v_MassMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey) override |
| void | v_LaplacianMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey) override |
| void | v_LaplacianMatrixOp (const int k1, const int k2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey) override |
| void | v_HelmholtzMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey) override |
| void | v_SVVLaplacianFilter (Array< OneD, NekDouble > &array, const StdRegions::StdMatrixKey &mkey) override |
| DNekMatSharedPtr | v_GenMatrix (const StdRegions::StdMatrixKey &mkey) override |
| DNekMatSharedPtr | v_CreateStdMatrix (const StdRegions::StdMatrixKey &mkey) override |
| DNekScalMatSharedPtr | v_GetLocMatrix (const MatrixKey &mkey) override |
| DNekScalBlkMatSharedPtr | v_GetLocStaticCondMatrix (const MatrixKey &mkey) override |
| void | v_DropLocMatrix (const MatrixKey &mkey) override |
| void | v_DropLocStaticCondMatrix (const MatrixKey &mkey) override |
| void | v_GetSimplexEquiSpacedConnectivity (Array< OneD, int > &conn, bool standard=true) override |
| void | v_NormalTraceDerivFactors (Array< OneD, Array< OneD, NekDouble > > &d0factors, Array< OneD, Array< OneD, NekDouble > > &d1factors, Array< OneD, Array< OneD, NekDouble > > &d2factors) override |
| : This method gets all of the factors which are required as part of the Gradient Jump Penalty stabilisation and involves the product of the normal and geometric factors along the element trace. More... | |
| Protected Member Functions inherited from Nektar::StdRegions::StdPrismExp | |
| void | v_PhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1, Array< OneD, NekDouble > &out_d2) override |
| Calculate the derivative of the physical points. More... | |
| void | v_PhysDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override |
| Calculate the derivative of the physical points in a given direction. More... | |
| void | v_StdPhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1, Array< OneD, NekDouble > &out_d2) override |
| void | v_StdPhysDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override |
| void | v_BwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override |
| void | v_BwdTrans_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override |
| void | v_BwdTrans_SumFacKernel (const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &base2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0, bool doCheckCollDir1, bool doCheckCollDir2) override |
| void | v_FwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override |
| Forward transform from physical quadrature space stored in inarray and evaluate the expansion coefficients and store in outarray. More... | |
| void | v_IProductWRTBase (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override |
| Calculate the inner product of inarray with respect to the basis B=base0*base1*base2 and put into outarray: More... | |
| void | v_IProductWRTBase_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool multiplybyweights=true) override |
| void | v_IProductWRTBase_SumFacKernel (const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &base2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0, bool doCheckCollDir1, bool doCheckCollDir2) override |
| void | v_IProductWRTDerivBase (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override |
| Inner product of inarray over region with respect to the object's default expansion basis; output in outarray. More... | |
| void | v_IProductWRTDerivBase_SumFac (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override |
| void | v_LocCoordToLocCollapsed (const Array< OneD, const NekDouble > &xi, Array< OneD, NekDouble > &eta) override |
| void | v_LocCollapsedToLocCoord (const Array< OneD, const NekDouble > &eta, Array< OneD, NekDouble > &xi) override |
| void | v_GetCoords (Array< OneD, NekDouble > &xi_x, Array< OneD, NekDouble > &xi_y, Array< OneD, NekDouble > &xi_z) override |
| void | v_FillMode (const int mode, Array< OneD, NekDouble > &outarray) override |
| NekDouble | v_PhysEvaluateBasis (const Array< OneD, const NekDouble > &coords, int mode) final |
| void | v_GetTraceNumModes (const int fid, int &numModes0, int &numModes1, Orientation faceOrient=eDir1FwdDir1_Dir2FwdDir2) override |
| NekDouble | v_PhysEvaluate (const Array< OneD, NekDouble > &coord, const Array< OneD, const NekDouble > &inarray, std::array< NekDouble, 3 > &firstOrderDerivs) override |
| int | v_GetNverts () const override |
| int | v_GetNedges () const override |
| int | v_GetNtraces () const override |
| LibUtilities::ShapeType | v_DetShapeType () const override |
| Return Shape of region, using ShapeType enum list; i.e. prism. More... | |
| int | v_NumBndryCoeffs () const override |
| int | v_NumDGBndryCoeffs () const override |
| int | v_GetTraceNcoeffs (const int i) const override |
| int | v_GetTraceIntNcoeffs (const int i) const override |
| int | v_GetTraceNumPoints (const int i) const override |
| int | v_GetEdgeNcoeffs (const int i) const override |
| const LibUtilities::BasisKey | v_GetTraceBasisKey (const int i, const int k) const override |
| LibUtilities::PointsKey | v_GetTracePointsKey (const int i, const int j) const override |
| int | v_CalcNumberOfCoefficients (const std::vector< unsigned int > &nummodes, int &modes_offset) override |
| bool | v_IsBoundaryInteriorExpansion () const override |
| int | v_GetVertexMap (int localVertexId, bool useCoeffPacking=false) override |
| void | v_GetInteriorMap (Array< OneD, unsigned int > &outarray) override |
| void | v_GetBoundaryMap (Array< OneD, unsigned int > &outarray) override |
| void | v_GetTraceCoeffMap (const unsigned int fid, Array< OneD, unsigned int > &maparray) override |
| void | v_GetElmtTraceToTraceMap (const unsigned int fid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, Orientation faceOrient, int P, int Q) override |
| void | v_GetEdgeInteriorToElementMap (const int tid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, const Orientation traceOrient=eDir1FwdDir1_Dir2FwdDir2) override |
| void | v_GetTraceInteriorToElementMap (const int tid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, const Orientation traceOrient=eDir1FwdDir1_Dir2FwdDir2) override |
| DNekMatSharedPtr | v_GenMatrix (const StdMatrixKey &mkey) override |
| DNekMatSharedPtr | v_CreateStdMatrix (const StdMatrixKey &mkey) override |
| void | v_MultiplyByStdQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override |
| void | v_SVVLaplacianFilter (Array< OneD, NekDouble > &array, const StdMatrixKey &mkey) override |
| void | v_ReduceOrderCoeffs (int numMin, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override |
| Protected Member Functions inherited from Nektar::StdRegions::StdExpansion3D | |
| NekDouble | v_PhysEvaluate (const Array< OneD, const NekDouble > &coords, const Array< OneD, const NekDouble > &physvals) override |
| This function evaluates the expansion at a single (arbitrary) point of the domain. More... | |
| NekDouble | v_PhysEvaluate (const Array< OneD, DNekMatSharedPtr > &I, const Array< OneD, const NekDouble > &physvals) override |
| NekDouble | v_PhysEvaluate (const Array< OneD, NekDouble > &coord, const Array< OneD, const NekDouble > &inarray, std::array< NekDouble, 3 > &firstOrderDerivs) override |
| virtual void | v_BwdTrans_SumFacKernel (const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &base2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0, bool doCheckCollDir1, bool doCheckCollDir2)=0 |
| virtual void | v_IProductWRTBase_SumFacKernel (const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &base2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0, bool doCheckCollDir1, bool doCheckCollDir2)=0 |
| void | v_LaplacianMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey) override |
| void | v_HelmholtzMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey) override |
| NekDouble | v_Integral (const Array< OneD, const NekDouble > &inarray) override |
| Integrates the specified function over the domain. More... | |
| virtual int | v_GetNedges (void) const |
| virtual int | v_GetEdgeNcoeffs (const int i) const |
| NekDouble | BaryTensorDeriv (const Array< OneD, NekDouble > &coord, const Array< OneD, const NekDouble > &inarray, std::array< NekDouble, 3 > &firstOrderDerivs) |
| virtual void | v_GetEdgeInteriorToElementMap (const int tid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, Orientation traceOrient=eForwards) |
| void | v_GetTraceToElementMap (const int tid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, Orientation traceOrient, int P, int Q) override |
| void | v_GenStdMatBwdDeriv (const int dir, DNekMatSharedPtr &mat) override |
| Protected Member Functions inherited from Nektar::StdRegions::StdExpansion | |
| DNekMatSharedPtr | CreateStdMatrix (const StdMatrixKey &mkey) |
| DNekBlkMatSharedPtr | CreateStdStaticCondMatrix (const StdMatrixKey &mkey) |
| Create the static condensation of a matrix when using a boundary interior decomposition. More... | |
| void | BwdTrans_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
| void | IProductWRTDerivBase_SumFac (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
| void | IProductWRTDirectionalDerivBase_SumFac (const Array< OneD, const NekDouble > &direction, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
| void | GeneralMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) |
| void | MassMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) |
| void | LaplacianMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) |
| void | LaplacianMatrixOp_MatFree_Kernel (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp) |
| void | LaplacianMatrixOp_MatFree_GenericImpl (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) |
| void | LaplacianMatrixOp_MatFree (const int k1, const int k2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) |
| void | WeakDerivMatrixOp_MatFree (const int i, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) |
| void | WeakDirectionalDerivMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) |
| void | MassLevelCurvatureMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) |
| void | LinearAdvectionMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) |
| void | LinearAdvectionDiffusionReactionMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey, bool addDiffusionTerm=true) |
| void | HelmholtzMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) |
| void | HelmholtzMatrixOp_MatFree_GenericImpl (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) |
| virtual void | v_SetCoeffsToOrientation (StdRegions::Orientation dir, Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
| virtual 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) |
| virtual void | v_GenStdMatBwdDeriv (const int dir, DNekMatSharedPtr &mat) |
| virtual void | v_MultiplyByStdQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
| template<int DIR, bool DERIV = false, bool DERIV2 = false> | |
| NekDouble | BaryEvaluate (const NekDouble &coord, const NekDouble *physvals, NekDouble &deriv, NekDouble &deriv2) |
This function performs the barycentric interpolation of the polynomial stored in coord at a point physvals using barycentric interpolation weights in direction. More... | |
| template<int DIR> | |
| NekDouble | BaryEvaluateBasis (const NekDouble &coord, const int &mode) |
| template<int DIR, bool DERIV = false, bool DERIV2 = false> | |
| NekDouble | BaryEvaluate (const NekDouble &coord, const NekDouble *physvals) |
| Helper function to pass an unused value by reference into BaryEvaluate. More... | |
| template<int DIR, bool DERIV = false, bool DERIV2 = false> | |
| NekDouble | BaryEvaluate (const NekDouble &coord, const NekDouble *physvals, NekDouble &deriv) |
| Protected Member Functions inherited from Nektar::LocalRegions::Expansion3D | |
| void | v_DGDeriv (const int dir, const Array< OneD, const NekDouble > &incoeffs, Array< OneD, ExpansionSharedPtr > &FaceExp, Array< OneD, Array< OneD, NekDouble > > &faceCoeffs, Array< OneD, NekDouble > &out_d) override |
| Evaluate coefficients of weak deriviative in the direction dir given the input coefficicents incoeffs and the imposed boundary values in EdgeExp (which will have its phys space updated). More... | |
| DNekMatSharedPtr | v_GenMatrix (const StdRegions::StdMatrixKey &mkey) override |
| void | v_AddFaceNormBoundaryInt (const int face, const ExpansionSharedPtr &FaceExp, const Array< OneD, const NekDouble > &Fn, Array< OneD, NekDouble > &outarray) override |
| void | v_AddRobinMassMatrix (const int face, const Array< OneD, const NekDouble > &primCoeffs, DNekMatSharedPtr &inoutmat) override |
| StdRegions::Orientation | v_GetTraceOrient (int face) override |
| void | v_GetTracePhysVals (const int face, const StdRegions::StdExpansionSharedPtr &FaceExp, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, StdRegions::Orientation orient) override |
| Extract the physical values along face face from inarray into outarray following the local face orientation and point distribution defined by defined in FaceExp. More... | |
| void | v_GenTraceExp (const int traceid, ExpansionSharedPtr &exp) override |
| void | GetPhysFaceVarCoeffsFromElement (const int face, ExpansionSharedPtr &FaceExp, const Array< OneD, const NekDouble > &varcoeff, Array< OneD, NekDouble > &outarray) |
| DNekMatSharedPtr | v_BuildTransformationMatrix (const DNekScalMatSharedPtr &r_bnd, const StdRegions::MatrixType matrixType) override |
| DNekMatSharedPtr | v_BuildInverseTransformationMatrix (const DNekScalMatSharedPtr &transformationmatrix) override |
| Build inverse and inverse transposed transformation matrix: \(\mathbf{R^{-1}}\) and \(\mathbf{R^{-T}}\). More... | |
| DNekMatSharedPtr | v_BuildVertexMatrix (const DNekScalMatSharedPtr &r_bnd) override |
| void | v_TraceNormLen (const int traceid, NekDouble &h, NekDouble &p) override |
| Protected Member Functions inherited from Nektar::LocalRegions::Expansion | |
| void | ComputeLaplacianMetric () |
| void | ComputeQuadratureMetric () |
| void | ComputeGmatcdotMF (const Array< TwoD, const NekDouble > &df, const Array< OneD, const NekDouble > &direction, Array< OneD, Array< OneD, NekDouble > > &dfdir) |
| Array< OneD, NekDouble > | GetMF (const int dir, const int shapedim, const StdRegions::VarCoeffMap &varcoeffs) |
| Array< OneD, NekDouble > | GetMFDiv (const int dir, const StdRegions::VarCoeffMap &varcoeffs) |
| Array< OneD, NekDouble > | GetMFMag (const int dir, const StdRegions::VarCoeffMap &varcoeffs) |
| void | v_MultiplyByQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override |
| virtual void | v_DivideByQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
| virtual void | v_ComputeLaplacianMetric () |
| int | v_GetCoordim () const override |
| void | v_GetCoords (Array< OneD, NekDouble > &coords_1, Array< OneD, NekDouble > &coords_2, Array< OneD, NekDouble > &coords_3) override |
| virtual DNekScalMatSharedPtr | v_GetLocMatrix (const LocalRegions::MatrixKey &mkey) |
| virtual void | v_DropLocMatrix (const LocalRegions::MatrixKey &mkey) |
| virtual DNekMatSharedPtr | v_BuildTransformationMatrix (const DNekScalMatSharedPtr &r_bnd, const StdRegions::MatrixType matrixType) |
| virtual DNekMatSharedPtr | v_BuildVertexMatrix (const DNekScalMatSharedPtr &r_bnd) |
| virtual void | v_ExtractDataToCoeffs (const NekDouble *data, const std::vector< unsigned int > &nummodes, const int nmodes_offset, NekDouble *coeffs, std::vector< LibUtilities::BasisType > &fromType) |
| virtual void | v_AddEdgeNormBoundaryInt (const int edge, const std::shared_ptr< Expansion > &EdgeExp, const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, Array< OneD, NekDouble > &outarray) |
| virtual void | v_AddEdgeNormBoundaryInt (const int edge, const std::shared_ptr< Expansion > &EdgeExp, const Array< OneD, const NekDouble > &Fn, Array< OneD, NekDouble > &outarray) |
| virtual void | v_AddFaceNormBoundaryInt (const int face, const std::shared_ptr< Expansion > &FaceExp, const Array< OneD, const NekDouble > &Fn, Array< OneD, NekDouble > &outarray) |
| virtual void | v_DGDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, ExpansionSharedPtr > &EdgeExp, Array< OneD, Array< OneD, NekDouble > > &coeffs, Array< OneD, NekDouble > &outarray) |
| virtual NekDouble | v_VectorFlux (const Array< OneD, Array< OneD, NekDouble > > &vec) |
| virtual void | v_NormalTraceDerivFactors (Array< OneD, Array< OneD, NekDouble > > &factors, Array< OneD, Array< OneD, NekDouble > > &d0factors, Array< OneD, Array< OneD, NekDouble > > &d1factors) |
| virtual void | v_AlignVectorToCollapsedDir (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray) |
| virtual StdRegions::Orientation | v_GetTraceOrient (int trace) |
| void | v_SetCoeffsToOrientation (StdRegions::Orientation dir, Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override |
| virtual void | v_GetTraceQFactors (const int trace, Array< OneD, NekDouble > &outarray) |
| virtual void | v_GetTracePhysVals (const int trace, const StdRegions::StdExpansionSharedPtr &TraceExp, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, StdRegions::Orientation orient) |
| virtual void | v_GetTracePhysMap (const int edge, Array< OneD, int > &outarray) |
| virtual void | v_ReOrientTracePhysMap (const StdRegions::Orientation orient, Array< OneD, int > &idmap, const int nq0, const int nq1=-1) |
| virtual void | v_ComputeTraceNormal (const int id) |
| virtual const Array< OneD, const NekDouble > & | v_GetPhysNormals () |
| virtual void | v_SetPhysNormals (Array< OneD, const NekDouble > &normal) |
| virtual void | v_SetUpPhysNormals (const int id) |
| virtual void | v_AddRobinMassMatrix (const int face, const Array< OneD, const NekDouble > &primCoeffs, DNekMatSharedPtr &inoutmat) |
| virtual void | v_AddRobinTraceContribution (const int traceid, const Array< OneD, const NekDouble > &primCoeffs, const Array< OneD, NekDouble > &incoeffs, Array< OneD, NekDouble > &coeffs) |
| virtual void | v_TraceNormLen (const int traceid, NekDouble &h, NekDouble &p) |
| virtual void | v_GenTraceExp (const int traceid, ExpansionSharedPtr &exp) |
Private Member Functions | |
| void | v_LaplacianMatrixOp_MatFree_Kernel (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp) override |
| Calculate the Laplacian multiplication in a matrix-free manner. More... | |
Detailed Description
Definition at line 47 of file PrismExp.h.
Constructor & Destructor Documentation
◆ PrismExp() [1/2]
| Nektar::LocalRegions::PrismExp::PrismExp | ( | const LibUtilities::BasisKey & | Ba, |
| const LibUtilities::BasisKey & | Bb, | ||
| const LibUtilities::BasisKey & | Bc, | ||
| const SpatialDomains::PrismGeomSharedPtr & | geom | ||
| ) |
Constructor using BasisKey class for quadrature points and order definition.
Definition at line 45 of file PrismExp.cpp.
50 Ba.GetNumModes(), Bb.GetNumModes(), Bc.GetNumModes()),
51 3, Ba, Bb, Bc),
53 Ba.GetNumModes(), Bb.GetNumModes(), Bc.GetNumModes()),
54 Ba, Bb, Bc),
56 m_matrixManager(
58 std::string("PrismExpMatrix")),
60 this, std::placeholders::_1),
61 std::string("PrismExpStaticCondMatrix"))
62{
63}
Expansion3D(SpatialDomains::Geometry3DSharedPtr pGeom)
Definition: Expansion3D.h:59
DNekScalMatSharedPtr CreateMatrix(const MatrixKey &mkey)
Definition: Expansion3D.cpp:407
DNekScalBlkMatSharedPtr CreateStaticCondMatrix(const MatrixKey &mkey)
Definition: Expansion.cpp:272
Expansion(SpatialDomains::GeometrySharedPtr pGeom)
Definition: Expansion.cpp:43
LibUtilities::NekManager< MatrixKey, DNekScalBlkMat, MatrixKey::opLess > m_staticCondMatrixManager
Definition: PrismExp.h:200
LibUtilities::NekManager< MatrixKey, DNekScalMat, MatrixKey::opLess > m_matrixManager
Definition: PrismExp.h:198
StdExpansion3D()=default
StdPrismExp(const LibUtilities::BasisKey &Ba, const LibUtilities::BasisKey &Bb, const LibUtilities::BasisKey &Bc)
Definition: StdPrismExp.cpp:43
int getNumberOfCoefficients(int Na, int Nb, int Nc)
Definition: ShapeType.hpp:279
◆ PrismExp() [2/2]
| Nektar::LocalRegions::PrismExp::PrismExp | ( | const PrismExp & | T | ) |
Definition at line 65 of file PrismExp.cpp.
◆ ~PrismExp()
|
overridedefault |
Member Function Documentation
◆ v_AlignVectorToCollapsedDir()
|
overrideprotectedvirtual |
Reimplemented from Nektar::LocalRegions::Expansion.
Definition at line 378 of file PrismExp.cpp.
381{
387 const int nqtot = nquad0 * nquad1 * nquad2;
388
391
392 Array<OneD, NekDouble> gfac0(nquad0);
393 Array<OneD, NekDouble> gfac2(nquad2);
394 Array<OneD, NekDouble> tmp1(nqtot);
395 Array<OneD, NekDouble> tmp5(nqtot);
396 Array<OneD, NekDouble> tmp6(m_ncoeffs);
397 Array<OneD, NekDouble> wsp(order0 * nquad2 * (nquad1 + order1));
398
399 Array<OneD, NekDouble> tmp2 = outarray[0];
400 Array<OneD, NekDouble> tmp3 = outarray[1];
401 Array<OneD, NekDouble> tmp4 = outarray[2];
402
403 const Array<TwoD, const NekDouble> &df =
405
407
409 {
410 Vmath::Vmul(nqtot, &df[3 * dir][0], 1, tmp1.get(), 1, tmp2.get(), 1);
411 Vmath::Vmul(nqtot, &df[3 * dir + 1][0], 1, tmp1.get(), 1, tmp3.get(),
412 1);
413 Vmath::Vmul(nqtot, &df[3 * dir + 2][0], 1, tmp1.get(), 1, tmp4.get(),
414 1);
415 }
416 else
417 {
418 Vmath::Smul(nqtot, df[3 * dir][0], tmp1.get(), 1, tmp2.get(), 1);
419 Vmath::Smul(nqtot, df[3 * dir + 1][0], tmp1.get(), 1, tmp3.get(), 1);
420 Vmath::Smul(nqtot, df[3 * dir + 2][0], tmp1.get(), 1, tmp4.get(), 1);
421 }
422
423 // set up geometric factor: (1+z0)/2
424 for (int i = 0; i < nquad0; ++i)
425 {
426 gfac0[i] = 0.5 * (1 + z0[i]);
427 }
428
429 // Set up geometric factor: 2/(1-z2)
430 for (int i = 0; i < nquad2; ++i)
431 {
432 gfac2[i] = 2.0 / (1 - z2[i]);
433 }
434
435 const int nq01 = nquad0 * nquad1;
436
437 for (int i = 0; i < nquad2; ++i)
438 {
439 Vmath::Smul(nq01, gfac2[i], &tmp2[0] + i * nq01, 1, &tmp2[0] + i * nq01,
440 1);
441 Vmath::Smul(nq01, gfac2[i], &tmp4[0] + i * nq01, 1, &tmp5[0] + i * nq01,
442 1);
443 }
444
445 for (int i = 0; i < nquad1 * nquad2; ++i)
446 {
447 Vmath::Vmul(nquad0, &gfac0[0], 1, &tmp5[0] + i * nquad0, 1,
448 &tmp5[0] + i * nquad0, 1);
449 }
450
451 Vmath::Vadd(nqtot, &tmp2[0], 1, &tmp5[0], 1, &tmp2[0], 1);
452}
SpatialDomains::GeomFactorsSharedPtr m_metricinfo
Definition: Expansion.h:274
const LibUtilities::PointsKeyVector GetPointsKeys() const
Definition: StdExpansion.h:1095
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1173
void Vmul(int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
Multiply vector z = x*y.
Definition: Vmath.hpp:72
void Vadd(int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
Add vector z = x+y.
Definition: Vmath.hpp:180
void Smul(int n, const T alpha, const T *x, const int incx, T *y, const int incy)
Scalar multiply y = alpha*x.
Definition: Vmath.hpp:100
void Vcopy(int n, const T *x, const int incx, T *y, const int incy)
Definition: Vmath.hpp:825
References Nektar::SpatialDomains::eDeformed, Nektar::StdRegions::StdExpansion::GetPointsKeys(), Nektar::StdRegions::StdExpansion::m_base, Nektar::LocalRegions::Expansion::m_metricinfo, Nektar::StdRegions::StdExpansion::m_ncoeffs, Vmath::Smul(), Vmath::Vadd(), Vmath::Vcopy(), and Vmath::Vmul().
Referenced by v_IProductWRTDerivBase_SumFac().
◆ v_ComputeTraceNormal()
|
overrideprotectedvirtual |
Get the normals along specficied face Get the face normals interplated to a points0 x points 0 type distribution.
Reimplemented from Nektar::LocalRegions::Expansion.
Definition at line 703 of file PrismExp.cpp.
704{
706 GetGeom()->GetMetricInfo();
707
709 for (int i = 0; i < ptsKeys.size(); ++i)
710 {
711 // Need at least 2 points for computing normals
713 {
714 LibUtilities::PointsKey pKey(2, ptsKeys[i].GetPointsType());
715 ptsKeys[i] = pKey;
716 }
717 }
718
719 SpatialDomains::GeomType type = geomFactors->GetGtype();
720 const Array<TwoD, const NekDouble> &df =
721 geomFactors->GetDerivFactors(ptsKeys);
722 const Array<OneD, const NekDouble> &jac = geomFactors->GetJac(ptsKeys);
723
724 int nq0 = ptsKeys[0].GetNumPoints();
725 int nq1 = ptsKeys[1].GetNumPoints();
726 int nq2 = ptsKeys[2].GetNumPoints();
727 int nq01 = nq0 * nq1;
728 int nqtot;
729
730 LibUtilities::BasisKey tobasis0 = GetTraceBasisKey(face, 0);
731 LibUtilities::BasisKey tobasis1 = GetTraceBasisKey(face, 1);
732
733 // Number of quadrature points in face expansion.
734 int nq_face = tobasis0.GetNumPoints() * tobasis1.GetNumPoints();
735
737 int i;
738
739 m_traceNormals[face] = Array<OneD, Array<OneD, NekDouble>>(vCoordDim);
740 Array<OneD, Array<OneD, NekDouble>> &normal = m_traceNormals[face];
741 for (i = 0; i < vCoordDim; ++i)
742 {
743 normal[i] = Array<OneD, NekDouble>(nq_face);
744 }
745
746 size_t nqb = nq_face;
747 size_t nbnd = face;
748 m_elmtBndNormDirElmtLen[nbnd] = Array<OneD, NekDouble>{nqb, 0.0};
749 Array<OneD, NekDouble> &length = m_elmtBndNormDirElmtLen[nbnd];
750
751 // Regular geometry case
753 type == SpatialDomains::eMovingRegular)
754 {
755 NekDouble fac;
756 // Set up normals
757 switch (face)
758 {
759 case 0:
760 {
761 for (i = 0; i < vCoordDim; ++i)
762 {
763 normal[i][0] = -df[3 * i + 2][0];
764 ;
765 }
766 break;
767 }
768 case 1:
769 {
770 for (i = 0; i < vCoordDim; ++i)
771 {
772 normal[i][0] = -df[3 * i + 1][0];
773 }
774 break;
775 }
776 case 2:
777 {
778 for (i = 0; i < vCoordDim; ++i)
779 {
780 normal[i][0] = df[3 * i][0] + df[3 * i + 2][0];
781 }
782 break;
783 }
784 case 3:
785 {
786 for (i = 0; i < vCoordDim; ++i)
787 {
788 normal[i][0] = df[3 * i + 1][0];
789 }
790 break;
791 }
792 case 4:
793 {
794 for (i = 0; i < vCoordDim; ++i)
795 {
796 normal[i][0] = -df[3 * i][0];
797 }
798 break;
799 }
800 default:
802 }
803
804 // Normalise resulting vector.
805 fac = 0.0;
806 for (i = 0; i < vCoordDim; ++i)
807 {
808 fac += normal[i][0] * normal[i][0];
809 }
810 fac = 1.0 / sqrt(fac);
811
812 Vmath::Fill(nqb, fac, length, 1);
813
814 for (i = 0; i < vCoordDim; ++i)
815 {
816 Vmath::Fill(nq_face, fac * normal[i][0], normal[i], 1);
817 }
818 }
819 else
820 {
821 // Set up deformed normals.
822 int j, k;
823
824 // Determine number of quadrature points on the face of 3D elmt
825 if (face == 0)
826 {
827 nqtot = nq0 * nq1;
828 }
829 else if (face == 1 || face == 3)
830 {
831 nqtot = nq0 * nq2;
832 }
833 else
834 {
835 nqtot = nq1 * nq2;
836 }
837
838 LibUtilities::PointsKey points0;
839 LibUtilities::PointsKey points1;
840
841 Array<OneD, NekDouble> faceJac(nqtot);
842 Array<OneD, NekDouble> normals(vCoordDim * nqtot, 0.0);
843
844 // Extract Jacobian along face and recover local derivatives
845 // (dx/dr) for polynomial interpolation by multiplying m_gmat by
846 // jacobian
847 switch (face)
848 {
849 case 0:
850 {
851 for (j = 0; j < nq01; ++j)
852 {
853 normals[j] = -df[2][j] * jac[j];
854 normals[nqtot + j] = -df[5][j] * jac[j];
855 normals[2 * nqtot + j] = -df[8][j] * jac[j];
856 faceJac[j] = jac[j];
857 }
858
859 points0 = ptsKeys[0];
860 points1 = ptsKeys[1];
861 break;
862 }
863
864 case 1:
865 {
866 for (j = 0; j < nq0; ++j)
867 {
868 for (k = 0; k < nq2; ++k)
869 {
870 int tmp = j + nq01 * k;
871 normals[j + k * nq0] = -df[1][tmp] * jac[tmp];
872 normals[nqtot + j + k * nq0] = -df[4][tmp] * jac[tmp];
873 normals[2 * nqtot + j + k * nq0] =
874 -df[7][tmp] * jac[tmp];
875 faceJac[j + k * nq0] = jac[tmp];
876 }
877 }
878
879 points0 = ptsKeys[0];
880 points1 = ptsKeys[2];
881 break;
882 }
883
884 case 2:
885 {
886 for (j = 0; j < nq1; ++j)
887 {
888 for (k = 0; k < nq2; ++k)
889 {
890 int tmp = nq0 - 1 + nq0 * j + nq01 * k;
891 normals[j + k * nq1] =
892 (df[0][tmp] + df[2][tmp]) * jac[tmp];
893 normals[nqtot + j + k * nq1] =
894 (df[3][tmp] + df[5][tmp]) * jac[tmp];
895 normals[2 * nqtot + j + k * nq1] =
896 (df[6][tmp] + df[8][tmp]) * jac[tmp];
897 faceJac[j + k * nq1] = jac[tmp];
898 }
899 }
900
901 points0 = ptsKeys[1];
902 points1 = ptsKeys[2];
903 break;
904 }
905
906 case 3:
907 {
908 for (j = 0; j < nq0; ++j)
909 {
910 for (k = 0; k < nq2; ++k)
911 {
912 int tmp = nq0 * (nq1 - 1) + j + nq01 * k;
913 normals[j + k * nq0] = df[1][tmp] * jac[tmp];
914 normals[nqtot + j + k * nq0] = df[4][tmp] * jac[tmp];
915 normals[2 * nqtot + j + k * nq0] =
916 df[7][tmp] * jac[tmp];
917 faceJac[j + k * nq0] = jac[tmp];
918 }
919 }
920
921 points0 = ptsKeys[0];
922 points1 = ptsKeys[2];
923 break;
924 }
925
926 case 4:
927 {
928 for (j = 0; j < nq1; ++j)
929 {
930 for (k = 0; k < nq2; ++k)
931 {
932 int tmp = j * nq0 + nq01 * k;
933 normals[j + k * nq1] = -df[0][tmp] * jac[tmp];
934 normals[nqtot + j + k * nq1] = -df[3][tmp] * jac[tmp];
935 normals[2 * nqtot + j + k * nq1] =
936 -df[6][tmp] * jac[tmp];
937 faceJac[j + k * nq1] = jac[tmp];
938 }
939 }
940
941 points0 = ptsKeys[1];
942 points1 = ptsKeys[2];
943 break;
944 }
945
946 default:
948 }
949
950 Array<OneD, NekDouble> work(nq_face, 0.0);
951 // Interpolate Jacobian and invert
952 LibUtilities::Interp2D(points0, points1, faceJac,
953 tobasis0.GetPointsKey(), tobasis1.GetPointsKey(),
954 work);
955 Vmath::Sdiv(nq_face, 1.0, &work[0], 1, &work[0], 1);
956
957 // Interpolate normal and multiply by inverse Jacobian.
958 for (i = 0; i < vCoordDim; ++i)
959 {
960 LibUtilities::Interp2D(points0, points1, &normals[i * nqtot],
961 tobasis0.GetPointsKey(),
962 tobasis1.GetPointsKey(), &normal[i][0]);
963 Vmath::Vmul(nq_face, work, 1, normal[i], 1, normal[i], 1);
964 }
965
966 // Normalise to obtain unit normals.
967 Vmath::Zero(nq_face, work, 1);
969 {
970 Vmath::Vvtvp(nq_face, normal[i], 1, normal[i], 1, work, 1, work, 1);
971 }
972
973 Vmath::Vsqrt(nq_face, work, 1, work, 1);
974 Vmath::Sdiv(nq_face, 1.0, work, 1, work, 1);
975
976 Vmath::Vcopy(nqb, work, 1, length, 1);
977
979 {
980 Vmath::Vmul(nq_face, normal[i], 1, work, 1, normal[i], 1);
981 }
982 }
983}
std::map< int, NormalVector > m_traceNormals
Definition: Expansion.h:276
std::map< int, Array< OneD, NekDouble > > m_elmtBndNormDirElmtLen
the element length in each element boundary(Vertex, edge or face) normal direction calculated based o...
Definition: Expansion.h:286
SpatialDomains::GeometrySharedPtr GetGeom() const
Definition: Expansion.cpp:167
const LibUtilities::BasisKey GetTraceBasisKey(const int i, int k=-1) const
This function returns the basis key belonging to the i-th trace.
Definition: StdExpansion.h:299
LibUtilities::PointsType GetPointsType(const int dir) const
This function returns the type of quadrature points used in the dir direction.
Definition: StdExpansion.h:205
int GetNumPoints(const int dir) const
This function returns the number of quadrature points in the dir direction.
Definition: StdExpansion.h:218
void Interp2D(const BasisKey &fbasis0, const BasisKey &fbasis1, const Array< OneD, const NekDouble > &from, const BasisKey &tbasis0, const BasisKey &tbasis1, Array< OneD, NekDouble > &to)
this function interpolates a 2D function evaluated at the quadrature points of the 2D basis,...
Definition: Interp.cpp:101
std::vector< PointsKey > PointsKeyVector
Definition: Points.h:231
std::shared_ptr< GeomFactors > GeomFactorsSharedPtr
Pointer to a GeomFactors object.
Definition: GeomFactors.h:60
@ eRegular
Geometry is straight-sided with constant geometric factors.
Definition: SpatialDomains.hpp:52
void Vsqrt(int n, const T *x, const int incx, T *y, const int incy)
sqrt y = sqrt(x)
Definition: Vmath.hpp:340
void Vvtvp(int n, const T *w, const int incw, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
vvtvp (vector times vector plus vector): z = w*x + y
Definition: Vmath.hpp:366
void Sdiv(int n, const T alpha, const T *x, const int incx, T *y, const int incy)
Scalar multiply y = alpha/x.
Definition: Vmath.hpp:154
void Fill(int n, const T alpha, T *x, const int incx)
Fill a vector with a constant value.
Definition: Vmath.hpp:54
References ASSERTL0, Nektar::SpatialDomains::eMovingRegular, Nektar::SpatialDomains::eRegular, Vmath::Fill(), Nektar::StdRegions::StdExpansion::GetCoordim(), Nektar::LocalRegions::Expansion::GetGeom(), Nektar::LibUtilities::BasisKey::GetNumPoints(), Nektar::StdRegions::StdExpansion::GetNumPoints(), Nektar::LibUtilities::BasisKey::GetPointsKey(), Nektar::StdRegions::StdExpansion::GetPointsKeys(), Nektar::StdRegions::StdExpansion::GetPointsType(), Nektar::StdRegions::StdExpansion::GetTraceBasisKey(), Nektar::LibUtilities::Interp2D(), Nektar::LocalRegions::Expansion::m_elmtBndNormDirElmtLen, Nektar::LocalRegions::Expansion::m_traceNormals, Vmath::Sdiv(), tinysimd::sqrt(), Vmath::Vcopy(), Vmath::Vmul(), Vmath::Vsqrt(), Vmath::Vvtvp(), and Vmath::Zero().
◆ v_CreateStdMatrix()
|
overrideprotectedvirtual |
Reimplemented from Nektar::StdRegions::StdPrismExp.
Definition at line 1068 of file PrismExp.cpp.
1070{
1071 LibUtilities::BasisKey bkey0 = m_base[0]->GetBasisKey();
1072 LibUtilities::BasisKey bkey1 = m_base[1]->GetBasisKey();
1073 LibUtilities::BasisKey bkey2 = m_base[2]->GetBasisKey();
1074 StdRegions::StdPrismExpSharedPtr tmp =
1075 MemoryManager<StdPrismExp>::AllocateSharedPtr(bkey0, bkey1, bkey2);
1076
1077 return tmp->GetStdMatrix(mkey);
1078}
static std::shared_ptr< DataType > AllocateSharedPtr(const Args &...args)
Allocate a shared pointer from the memory pool.
Definition: NekMemoryManager.hpp:166
std::shared_ptr< StdPrismExp > StdPrismExpSharedPtr
Definition: StdPrismExp.h:218
References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), and Nektar::StdRegions::StdExpansion::m_base.
◆ v_DropLocMatrix()
|
overrideprotectedvirtual |
Reimplemented from Nektar::LocalRegions::Expansion.
Definition at line 1085 of file PrismExp.cpp.
References m_matrixManager.
◆ v_DropLocStaticCondMatrix()
|
overrideprotectedvirtual |
Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 1096 of file PrismExp.cpp.
References m_staticCondMatrixManager.
◆ v_ExtractDataToCoeffs()
|
overrideprotectedvirtual |
Reimplemented from Nektar::LocalRegions::Expansion.
Definition at line 545 of file PrismExp.cpp.
549{
550 int data_order0 = nummodes[mode_offset];
552 int data_order1 = nummodes[mode_offset + 1];
554 int fillorder1 = min(order1, data_order1);
555 int data_order2 = nummodes[mode_offset + 2];
557 int fillorder2 = min(order2, data_order2);
558
560 {
562 {
563 int i, j;
564 int cnt = 0;
565 int cnt1 = 0;
566
568 "Extraction routine not set up for this basis");
570 "Extraction routine not set up for this basis");
571
573 for (j = 0; j < fillorder0; ++j)
574 {
575 for (i = 0; i < fillorder1; ++i)
576 {
577 Vmath::Vcopy(fillorder2 - j, &data[cnt], 1, &coeffs[cnt1],
578 1);
579 cnt += data_order2 - j;
580 cnt1 += order2 - j;
581 }
582
583 // count out data for j iteration
584 for (i = fillorder1; i < data_order1; ++i)
585 {
586 cnt += data_order2 - j;
587 }
588
589 for (i = fillorder1; i < order1; ++i)
590 {
591 cnt1 += order2 - j;
592 }
593 }
594 }
595 break;
596 default:
598 "hierarchicial");
599 }
600}
#define ASSERTL1(condition, msg)
Assert Level 1 – Debugging which is used whether in FULLDEBUG or DEBUG compilation mode....
Definition: ErrorUtil.hpp:242
LibUtilities::BasisType GetBasisType(const int dir) const
This function returns the type of basis used in the dir direction.
Definition: StdExpansion.h:156
References ASSERTL0, ASSERTL1, Nektar::LibUtilities::eModified_A, Nektar::LibUtilities::eModified_B, Nektar::StdRegions::StdExpansion::GetBasisType(), Nektar::StdRegions::StdExpansion::m_base, Nektar::StdRegions::StdExpansion::m_ncoeffs, Vmath::Vcopy(), and Vmath::Zero().
◆ v_FwdTrans()
|
overrideprotectedvirtual |
Forward transform from physical quadrature space stored in inarray and evaluate the expansion coefficients and store in (this)->m_coeffs.
Inputs:
- inarray: array of physical quadrature points to be transformed
Outputs:
- (this)->_coeffs: updated array of expansion coefficients.
Reimplemented from Nektar::StdRegions::StdPrismExp.
Definition at line 209 of file PrismExp.cpp.
211{
213 m_base[2]->Collocation())
214 {
216 }
217 else
218 {
219 v_IProductWRTBase(inarray, outarray);
220
221 // get Mass matrix inverse
224
225 // copy inarray in case inarray == outarray
228
229 out = (*matsys) * in;
230 }
231}
void v_IProductWRTBase(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override
Calculate the inner product of inarray with respect to the basis B=base0*base1*base2 and put into out...
Definition: PrismExp.cpp:261
int GetNcoeffs(void) const
This function returns the total number of coefficients used in the expansion.
Definition: StdExpansion.h:124
LibUtilities::ShapeType DetShapeType() const
This function returns the shape of the expansion domain.
Definition: StdExpansion.h:367
std::shared_ptr< DNekScalMat > DNekScalMatSharedPtr
Definition: NekMatrixFwd.hpp:66
References Nektar::StdRegions::StdExpansion::DetShapeType(), Nektar::StdRegions::eInvMass, Nektar::eWrapper, Nektar::StdRegions::StdExpansion::GetNcoeffs(), Nektar::StdRegions::StdExpansion::m_base, m_matrixManager, Nektar::StdRegions::StdExpansion::m_ncoeffs, v_IProductWRTBase(), and Vmath::Vcopy().
◆ v_GenMatrix()
|
overrideprotectedvirtual |
Reimplemented from Nektar::StdRegions::StdPrismExp.
Definition at line 1045 of file PrismExp.cpp.
1046{
1047 DNekMatSharedPtr returnval;
1048
1049 switch (mkey.GetMatrixType())
1050 {
1058 returnval = Expansion3D::v_GenMatrix(mkey);
1059 break;
1060 default:
1061 returnval = StdPrismExp::v_GenMatrix(mkey);
1062 break;
1063 }
1064
1065 return returnval;
1066}
DNekMatSharedPtr v_GenMatrix(const StdRegions::StdMatrixKey &mkey) override
Definition: Expansion3D.cpp:894
@ eInvLaplacianWithUnityMean
Definition: StdRegions.hpp:96
References Nektar::StdRegions::eHybridDGHelmBndLam, Nektar::StdRegions::eHybridDGHelmholtz, Nektar::StdRegions::eHybridDGLamToQ0, Nektar::StdRegions::eHybridDGLamToQ1, Nektar::StdRegions::eHybridDGLamToQ2, Nektar::StdRegions::eHybridDGLamToU, Nektar::StdRegions::eInvLaplacianWithUnityMean, Nektar::StdRegions::StdMatrixKey::GetMatrixType(), and Nektar::LocalRegions::Expansion3D::v_GenMatrix().
◆ v_GetCoord()
|
overrideprotectedvirtual |
Get the coordinates #coords at the local coordinates #Lcoords.
Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 482 of file PrismExp.cpp.
484{
485 int i;
486
487 ASSERTL1(Lcoords[0] <= -1.0 && Lcoords[0] >= 1.0 && Lcoords[1] <= -1.0 &&
488 Lcoords[1] >= 1.0 && Lcoords[2] <= -1.0 && Lcoords[2] >= 1.0,
489 "Local coordinates are not in region [-1,1]");
490
491 m_geom->FillGeom();
492
494 {
495 coords[i] = m_geom->GetCoord(i, Lcoords);
496 }
497}
SpatialDomains::GeometrySharedPtr m_geom
Definition: Expansion.h:273
References ASSERTL1, and Nektar::LocalRegions::Expansion::m_geom.
◆ v_GetCoords()
|
overrideprotectedvirtual |
Reimplemented from Nektar::StdRegions::StdPrismExp.
Definition at line 499 of file PrismExp.cpp.
502{
503 Expansion::v_GetCoords(coords_0, coords_1, coords_2);
504}
void v_GetCoords(Array< OneD, NekDouble > &coords_1, Array< OneD, NekDouble > &coords_2, Array< OneD, NekDouble > &coords_3) override
Definition: Expansion.cpp:530
References Nektar::LocalRegions::Expansion::v_GetCoords().
◆ v_GetLinStdExp()
|
overrideprotectedvirtual |
Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 465 of file PrismExp.cpp.
466{
468 m_base[0]->GetPointsKey());
470 m_base[1]->GetPointsKey());
472 m_base[2]->GetPointsKey());
473
475 bkey0, bkey1, bkey2);
476}
References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), Nektar::StdRegions::StdExpansion::GetBasisType(), and Nektar::StdRegions::StdExpansion::m_base.
◆ v_GetLocMatrix()
|
overrideprotectedvirtual |
Reimplemented from Nektar::LocalRegions::Expansion.
Definition at line 1080 of file PrismExp.cpp.
References m_matrixManager.
◆ v_GetLocStaticCondMatrix()
|
overrideprotectedvirtual |
Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 1090 of file PrismExp.cpp.
References m_staticCondMatrixManager.
◆ v_GetSimplexEquiSpacedConnectivity()
|
overrideprotectedvirtual |
Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 1305 of file PrismExp.cpp.
1307{
1311 int np = max(np0, max(np1, np2));
1312 Array<OneD, int> prismpt(6);
1313 bool standard = true;
1314
1318 int rotate = 0;
1319
1320 // sort out prism rotation according to
1321 if ((vid2 < vid1) && (vid2 < vid0)) // top triangle vertex is lowest id
1322 {
1323 rotate = 0;
1324 if (vid0 > vid1)
1325 {
1326 standard = false; // reverse base direction
1327 }
1328 }
1329 else if ((vid1 < vid2) && (vid1 < vid0))
1330 {
1331 rotate = 1;
1332 if (vid2 > vid0)
1333 {
1334 standard = false; // reverse base direction
1335 }
1336 }
1337 else if ((vid0 < vid2) && (vid0 < vid1))
1338 {
1339 rotate = 2;
1340 if (vid1 > vid2)
1341 {
1342 standard = false; // reverse base direction
1343 }
1344 }
1345
1346 conn = Array<OneD, int>(12 * (np - 1) * (np - 1) * (np - 1));
1347
1348 int row = 0;
1349 int rowp1 = 0;
1350 int plane = 0;
1351 int row1 = 0;
1352 int row1p1 = 0;
1353 int planep1 = 0;
1354 int cnt = 0;
1355
1356 Array<OneD, int> rot(3);
1357
1358 rot[0] = (0 + rotate) % 3;
1359 rot[1] = (1 + rotate) % 3;
1360 rot[2] = (2 + rotate) % 3;
1361
1362 // lower diagonal along 1-3 on base
1363 for (int i = 0; i < np - 1; ++i)
1364 {
1365 planep1 += (np - i) * np;
1366 row = 0; // current plane row offset
1367 rowp1 = 0; // current plane row plus one offset
1368 row1 = 0; // next plane row offset
1369 row1p1 = 0; // nex plane row plus one offset
1370 if (standard == false)
1371 {
1372 for (int j = 0; j < np - 1; ++j)
1373 {
1374 rowp1 += np - i;
1375 row1p1 += np - i - 1;
1376 for (int k = 0; k < np - i - 2; ++k)
1377 {
1378 // bottom prism block
1379 prismpt[rot[0]] = plane + row + k;
1380 prismpt[rot[1]] = plane + row + k + 1;
1381 prismpt[rot[2]] = planep1 + row1 + k;
1382
1383 prismpt[3 + rot[0]] = plane + rowp1 + k;
1384 prismpt[3 + rot[1]] = plane + rowp1 + k + 1;
1385 prismpt[3 + rot[2]] = planep1 + row1p1 + k;
1386
1387 conn[cnt++] = prismpt[0];
1388 conn[cnt++] = prismpt[1];
1389 conn[cnt++] = prismpt[3];
1390 conn[cnt++] = prismpt[2];
1391
1392 conn[cnt++] = prismpt[5];
1393 conn[cnt++] = prismpt[2];
1394 conn[cnt++] = prismpt[3];
1395 conn[cnt++] = prismpt[4];
1396
1397 conn[cnt++] = prismpt[3];
1398 conn[cnt++] = prismpt[1];
1399 conn[cnt++] = prismpt[4];
1400 conn[cnt++] = prismpt[2];
1401
1402 // upper prism block.
1403 prismpt[rot[0]] = planep1 + row1 + k + 1;
1404 prismpt[rot[1]] = planep1 + row1 + k;
1405 prismpt[rot[2]] = plane + row + k + 1;
1406
1407 prismpt[3 + rot[0]] = planep1 + row1p1 + k + 1;
1408 prismpt[3 + rot[1]] = planep1 + row1p1 + k;
1409 prismpt[3 + rot[2]] = plane + rowp1 + k + 1;
1410
1411 conn[cnt++] = prismpt[0];
1412 conn[cnt++] = prismpt[1];
1413 conn[cnt++] = prismpt[2];
1414 conn[cnt++] = prismpt[5];
1415
1416 conn[cnt++] = prismpt[5];
1417 conn[cnt++] = prismpt[0];
1418 conn[cnt++] = prismpt[4];
1419 conn[cnt++] = prismpt[1];
1420
1421 conn[cnt++] = prismpt[3];
1422 conn[cnt++] = prismpt[4];
1423 conn[cnt++] = prismpt[0];
1424 conn[cnt++] = prismpt[5];
1425 }
1426
1427 // bottom prism block
1428 prismpt[rot[0]] = plane + row + np - i - 2;
1429 prismpt[rot[1]] = plane + row + np - i - 1;
1430 prismpt[rot[2]] = planep1 + row1 + np - i - 2;
1431
1432 prismpt[3 + rot[0]] = plane + rowp1 + np - i - 2;
1433 prismpt[3 + rot[1]] = plane + rowp1 + np - i - 1;
1434 prismpt[3 + rot[2]] = planep1 + row1p1 + np - i - 2;
1435
1436 conn[cnt++] = prismpt[0];
1437 conn[cnt++] = prismpt[1];
1438 conn[cnt++] = prismpt[3];
1439 conn[cnt++] = prismpt[2];
1440
1441 conn[cnt++] = prismpt[5];
1442 conn[cnt++] = prismpt[2];
1443 conn[cnt++] = prismpt[3];
1444 conn[cnt++] = prismpt[4];
1445
1446 conn[cnt++] = prismpt[3];
1447 conn[cnt++] = prismpt[1];
1448 conn[cnt++] = prismpt[4];
1449 conn[cnt++] = prismpt[2];
1450
1451 row += np - i;
1452 row1 += np - i - 1;
1453 }
1454 }
1455 else
1456 { // lower diagonal along 0-4 on base
1457 for (int j = 0; j < np - 1; ++j)
1458 {
1459 rowp1 += np - i;
1460 row1p1 += np - i - 1;
1461 for (int k = 0; k < np - i - 2; ++k)
1462 {
1463 // bottom prism block
1464 prismpt[rot[0]] = plane + row + k;
1465 prismpt[rot[1]] = plane + row + k + 1;
1466 prismpt[rot[2]] = planep1 + row1 + k;
1467
1468 prismpt[3 + rot[0]] = plane + rowp1 + k;
1469 prismpt[3 + rot[1]] = plane + rowp1 + k + 1;
1470 prismpt[3 + rot[2]] = planep1 + row1p1 + k;
1471
1472 conn[cnt++] = prismpt[0];
1473 conn[cnt++] = prismpt[1];
1474 conn[cnt++] = prismpt[4];
1475 conn[cnt++] = prismpt[2];
1476
1477 conn[cnt++] = prismpt[4];
1478 conn[cnt++] = prismpt[3];
1479 conn[cnt++] = prismpt[0];
1480 conn[cnt++] = prismpt[2];
1481
1482 conn[cnt++] = prismpt[3];
1483 conn[cnt++] = prismpt[4];
1484 conn[cnt++] = prismpt[5];
1485 conn[cnt++] = prismpt[2];
1486
1487 // upper prism block.
1488 prismpt[rot[0]] = planep1 + row1 + k + 1;
1489 prismpt[rot[1]] = planep1 + row1 + k;
1490 prismpt[rot[2]] = plane + row + k + 1;
1491
1492 prismpt[3 + rot[0]] = planep1 + row1p1 + k + 1;
1493 prismpt[3 + rot[1]] = planep1 + row1p1 + k;
1494 prismpt[3 + rot[2]] = plane + rowp1 + k + 1;
1495
1496 conn[cnt++] = prismpt[0];
1497 conn[cnt++] = prismpt[2];
1498 conn[cnt++] = prismpt[1];
1499 conn[cnt++] = prismpt[5];
1500
1501 conn[cnt++] = prismpt[3];
1502 conn[cnt++] = prismpt[5];
1503 conn[cnt++] = prismpt[0];
1504 conn[cnt++] = prismpt[1];
1505
1506 conn[cnt++] = prismpt[5];
1507 conn[cnt++] = prismpt[3];
1508 conn[cnt++] = prismpt[4];
1509 conn[cnt++] = prismpt[1];
1510 }
1511
1512 // bottom prism block
1513 prismpt[rot[0]] = plane + row + np - i - 2;
1514 prismpt[rot[1]] = plane + row + np - i - 1;
1515 prismpt[rot[2]] = planep1 + row1 + np - i - 2;
1516
1517 prismpt[3 + rot[0]] = plane + rowp1 + np - i - 2;
1518 prismpt[3 + rot[1]] = plane + rowp1 + np - i - 1;
1519 prismpt[3 + rot[2]] = planep1 + row1p1 + np - i - 2;
1520
1521 conn[cnt++] = prismpt[0];
1522 conn[cnt++] = prismpt[1];
1523 conn[cnt++] = prismpt[4];
1524 conn[cnt++] = prismpt[2];
1525
1526 conn[cnt++] = prismpt[4];
1527 conn[cnt++] = prismpt[3];
1528 conn[cnt++] = prismpt[0];
1529 conn[cnt++] = prismpt[2];
1530
1531 conn[cnt++] = prismpt[3];
1532 conn[cnt++] = prismpt[4];
1533 conn[cnt++] = prismpt[5];
1534 conn[cnt++] = prismpt[2];
1535
1536 row += np - i;
1537 row1 += np - i - 1;
1538 }
1539 }
1540 plane += (np - i) * np;
1541 }
1542}
References Nektar::StdRegions::StdExpansion::m_base, and Nektar::LocalRegions::Expansion::m_geom.
◆ v_GetStdExp()
|
overrideprotectedvirtual |
Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 458 of file PrismExp.cpp.
References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), and Nektar::StdRegions::StdExpansion::m_base.
◆ v_GetTracePhysMap()
|
overrideprotectedvirtual |
Reimplemented from Nektar::LocalRegions::Expansion.
Definition at line 602 of file PrismExp.cpp.
603{
607 int nq0 = 0;
608 int nq1 = 0;
609
610 switch (face)
611 {
612 case 0:
613 nq0 = nquad0;
614 nq1 = nquad1;
615 if (outarray.size() != nq0 * nq1)
616 {
617 outarray = Array<OneD, int>(nq0 * nq1);
618 }
619
620 // Directions A and B positive
621 for (int i = 0; i < nquad0 * nquad1; ++i)
622 {
623 outarray[i] = i;
624 }
625 break;
626 case 1:
627
628 nq0 = nquad0;
629 nq1 = nquad2;
630 if (outarray.size() != nq0 * nq1)
631 {
632 outarray = Array<OneD, int>(nq0 * nq1);
633 }
634
635 // Direction A and B positive
636 for (int k = 0; k < nquad2; k++)
637 {
638 for (int i = 0; i < nquad0; ++i)
639 {
640 outarray[k * nquad0 + i] = (nquad0 * nquad1 * k) + i;
641 }
642 }
643
644 break;
645 case 2:
646
647 nq0 = nquad1;
648 nq1 = nquad2;
649 if (outarray.size() != nq0 * nq1)
650 {
651 outarray = Array<OneD, int>(nq0 * nq1);
652 }
653
654 // Directions A and B positive
655 for (int j = 0; j < nquad1 * nquad2; ++j)
656 {
657 outarray[j] = nquad0 - 1 + j * nquad0;
658 }
659 break;
660 case 3:
661 nq0 = nquad0;
662 nq1 = nquad2;
663 if (outarray.size() != nq0 * nq1)
664 {
665 outarray = Array<OneD, int>(nq0 * nq1);
666 }
667
668 // Direction A and B positive
669 for (int k = 0; k < nquad2; k++)
670 {
671 for (int i = 0; i < nquad0; ++i)
672 {
673 outarray[k * nquad0 + i] =
674 nquad0 * (nquad1 - 1) + (nquad0 * nquad1 * k) + i;
675 }
676 }
677 break;
678 case 4:
679
680 nq0 = nquad1;
681 nq1 = nquad2;
682 if (outarray.size() != nq0 * nq1)
683 {
684 outarray = Array<OneD, int>(nq0 * nq1);
685 }
686
687 // Directions A and B positive
688 for (int j = 0; j < nquad1 * nquad2; ++j)
689 {
690 outarray[j] = j * nquad0;
691 }
692 break;
693 default:
695 break;
696 }
697}
References ASSERTL0, and Nektar::StdRegions::StdExpansion::m_base.
◆ v_HelmholtzMatrixOp()
|
overrideprotectedvirtual |
Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 1007 of file PrismExp.cpp.
1010{
1011 PrismExp::v_HelmholtzMatrixOp_MatFree(inarray, outarray, mkey);
1012}
void v_HelmholtzMatrixOp_MatFree(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey) override
Definition: StdExpansion3D.cpp:324
References Nektar::StdRegions::StdExpansion3D::v_HelmholtzMatrixOp_MatFree().
◆ v_Integral()
|
overrideprotectedvirtual |
Integrate the physical point list inarray over prismatic region and return the value.
Inputs:
- inarray: definition of function to be returned at quadrature point of expansion.
Outputs:
- returns \(\int^1_{-1}\int^1_{-1}\int^1_{-1} u(\bar \eta_1,
\xi_2, \xi_3) J[i,j,k] d \bar \eta_1 d \xi_2 d \xi_3 \)
\( = \sum_{i=0}^{Q_1 - 1} \sum_{j=0}^{Q_2 - 1} \sum_{k=0}^{Q_3 - 1} u(\bar \eta_{1i}^{0,0}, \xi_{2j}^{0,0},\xi_{3k}^{1,0})w_{i}^{0,0} w_{j}^{0,0} \hat w_{k}^{1,0} \)
where \( inarray[i,j, k] = u(\bar \eta_{1i}^{0,0}, \xi_{2j}^{0,0},\xi_{3k}^{1,0}) \),
\(\hat w_{i}^{1,0} = \frac {w_{j}^{1,0}} {2} \)
and \( J[i,j,k] \) is the Jacobian evaluated at the quadrature point.
Reimplemented from Nektar::StdRegions::StdExpansion3D.
Definition at line 96 of file PrismExp.cpp.
97{
102 Array<OneD, NekDouble> tmp(nquad0 * nquad1 * nquad2);
103
104 // Multiply inarray with Jacobian
106 {
107 Vmath::Vmul(nquad0 * nquad1 * nquad2, &jac[0], 1,
108 (NekDouble *)&inarray[0], 1, &tmp[0], 1);
109 }
110 else
111 {
113 (NekDouble *)&inarray[0], 1, &tmp[0], 1);
114 }
115
116 // Call StdPrismExp version.
117 return StdPrismExp::v_Integral(tmp);
118}
References Nektar::SpatialDomains::eDeformed, Nektar::StdRegions::StdExpansion::GetPointsKeys(), Nektar::StdRegions::StdExpansion::m_base, Nektar::LocalRegions::Expansion::m_metricinfo, Vmath::Smul(), and Vmath::Vmul().
◆ v_IProductWRTBase()
|
overrideprotectedvirtual |
Calculate the inner product of inarray with respect to the basis B=base0*base1*base2 and put into outarray:
\( \begin{array}{rcl} I_{pqr} = (\phi_{pqr}, u)_{\delta} & = &
\sum_{i=0}^{nq_0} \sum_{j=0}^{nq_1} \sum_{k=0}^{nq_2} \psi_{p}^{a}
(\bar \eta_{1i}) \psi_{q}^{a} (\xi_{2j}) \psi_{pr}^{b} (\xi_{3k})
w_i w_j w_k u(\bar \eta_{1,i} \xi_{2,j} \xi_{3,k}) J_{i,j,k}\\ & =
& \sum_{i=0}^{nq_0} \psi_p^a(\bar \eta_{1,i}) \sum_{j=0}^{nq_1}
\psi_{q}^a(\xi_{2,j}) \sum_{k=0}^{nq_2} \psi_{pr}^b u(\bar
\eta_{1i},\xi_{2j},\xi_{3k}) J_{i,j,k} \end{array} \)
where
\( \phi_{pqr} (\xi_1 , \xi_2 , \xi_3) = \psi_p^a (\bar \eta_1)
\psi_{q}^a (\xi_2) \psi_{pr}^b (\xi_3) \)
which can be implemented as
\(f_{pr} (\xi_{3k}) =
\sum_{k=0}^{nq_3} \psi_{pr}^b u(\bar \eta_{1i},\xi_{2j},\xi_{3k})
J_{i,j,k} = {\bf B_3 U} \)
\( g_{q} (\xi_{3k}) =
\sum_{j=0}^{nq_1} \psi_{q}^a (\xi_{2j}) f_{pr} (\xi_{3k}) = {\bf
B_2 F} \)
\( (\phi_{pqr}, u)_{\delta} = \sum_{k=0}^{nq_0}
\psi_{p}^a (\xi_{3k}) g_{q} (\xi_{3k}) = {\bf B_1 G} \)
Reimplemented from Nektar::StdRegions::StdPrismExp.
Definition at line 261 of file PrismExp.cpp.
263{
264 v_IProductWRTBase_SumFac(inarray, outarray);
265}
void v_IProductWRTBase_SumFac(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool multiplybyweights=true) override
Definition: PrismExp.cpp:267
References v_IProductWRTBase_SumFac().
Referenced by v_FwdTrans().
◆ v_IProductWRTBase_SumFac()
|
overrideprotectedvirtual |
Reimplemented from Nektar::StdRegions::StdPrismExp.
Definition at line 267 of file PrismExp.cpp.
270{
276
277 Array<OneD, NekDouble> wsp(order0 * nquad2 * (nquad1 + order1));
278
279 if (multiplybyweights)
280 {
281 Array<OneD, NekDouble> tmp(nquad0 * nquad1 * nquad2);
282
283 MultiplyByQuadratureMetric(inarray, tmp);
284
287 tmp, outarray, wsp, true, true, true);
288 }
289 else
290 {
293 inarray, outarray, wsp, true, true, true);
294 }
295}
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:108
void MultiplyByQuadratureMetric(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
Definition: StdExpansion.h:723
References Nektar::StdRegions::StdExpansion3D::IProductWRTBase_SumFacKernel(), Nektar::StdRegions::StdExpansion::m_base, and Nektar::StdRegions::StdExpansion::MultiplyByQuadratureMetric().
Referenced by v_IProductWRTBase().
◆ v_IProductWRTDerivBase()
|
overrideprotectedvirtual |
Calculates the inner product \( I_{pqr} = (u, \partial_{x_i} \phi_{pqr}) \).
The derivative of the basis functions is performed using the chain rule in order to incorporate the geometric factors. Assuming that the basis functions are a tensor product \(\phi_{pqr}(\eta_1,\eta_2,\eta_3) = \phi_1(\eta_1)\phi_2(\eta_2)\phi_3(\eta_3)\), this yields the result
\[ I_{pqr} = \sum_{j=1}^3 \left(u, \frac{\partial u}{\partial \eta_j} \frac{\partial \eta_j}{\partial x_i}\right) \]
In the tetrahedral element, we must also incorporate a second set of geometric factors which incorporate the collapsed co-ordinate system, so that
\[ \frac{\partial\eta_j}{\partial x_i} = \sum_{k=1}^3 \frac{\partial\eta_j}{\partial\xi_k}\frac{\partial\xi_k}{\partial x_i} \]
These derivatives can be found on p152 of Sherwin & Karniadakis.
- Parameters
-
dir Direction in which to take the derivative. inarray The function \( u \). outarray Value of the inner product.
Reimplemented from Nektar::StdRegions::StdPrismExp.
Definition at line 327 of file PrismExp.cpp.
330{
331 v_IProductWRTDerivBase_SumFac(dir, inarray, outarray);
332}
void v_IProductWRTDerivBase_SumFac(const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override
Definition: PrismExp.cpp:334
References v_IProductWRTDerivBase_SumFac().
◆ v_IProductWRTDerivBase_SumFac()
|
overrideprotectedvirtual |
Reimplemented from Nektar::StdRegions::StdPrismExp.
Definition at line 334 of file PrismExp.cpp.
337{
343 const int nqtot = nquad0 * nquad1 * nquad2;
344
345 Array<OneD, NekDouble> tmp1(nqtot);
346 Array<OneD, NekDouble> tmp2(nqtot);
347 Array<OneD, NekDouble> tmp3(nqtot);
348 Array<OneD, NekDouble> tmp4(nqtot);
349 Array<OneD, NekDouble> tmp6(m_ncoeffs);
350 Array<OneD, NekDouble> wsp(order0 * nquad2 * (nquad1 + order1));
351
352 MultiplyByQuadratureMetric(inarray, tmp1);
353
354 Array<OneD, Array<OneD, NekDouble>> tmp2D{3};
355 tmp2D[0] = tmp2;
356 tmp2D[1] = tmp3;
357 tmp2D[2] = tmp4;
358
359 PrismExp::v_AlignVectorToCollapsedDir(dir, tmp1, tmp2D);
360
362 m_base[2]->GetBdata(), tmp2, outarray, wsp,
363 true, true, true);
364
367 true, true);
368
370
373 true, true);
374
376}
void v_AlignVectorToCollapsedDir(const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray) override
Definition: PrismExp.cpp:378
References Nektar::StdRegions::StdExpansion3D::IProductWRTBase_SumFacKernel(), Nektar::StdRegions::StdExpansion::m_base, Nektar::StdRegions::StdExpansion::m_ncoeffs, Nektar::StdRegions::StdExpansion::MultiplyByQuadratureMetric(), v_AlignVectorToCollapsedDir(), and Vmath::Vadd().
Referenced by v_IProductWRTDerivBase().
◆ v_LaplacianMatrixOp() [1/2]
|
overrideprotectedvirtual |
Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 992 of file PrismExp.cpp.
995{
996 PrismExp::LaplacianMatrixOp_MatFree(inarray, outarray, mkey);
997}
void LaplacianMatrixOp_MatFree(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
Definition: StdExpansion.h:1241
References Nektar::StdRegions::StdExpansion::LaplacianMatrixOp_MatFree().
◆ v_LaplacianMatrixOp() [2/2]
|
overrideprotectedvirtual |
Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 999 of file PrismExp.cpp.
1003{
1004 StdExpansion::LaplacianMatrixOp_MatFree(k1, k2, inarray, outarray, mkey);
1005}
◆ v_LaplacianMatrixOp_MatFree_Kernel()
|
overrideprivatevirtual |
Calculate the Laplacian multiplication in a matrix-free manner.
This function is the kernel of the Laplacian matrix-free operator, and is used in v_HelmholtzMatrixOp_MatFree to determine the effect of the Helmholtz operator in a similar fashion.
The majority of the calculation is precisely the same as in the hexahedral expansion; however the collapsed co-ordinate system must be taken into account when constructing the geometric factors. How this is done is detailed more exactly in the tetrahedral expansion. On entry to this function, the input #inarray must be in its backwards-transformed state (i.e. \(\mathbf{u} = \mathbf{B}\hat{\mathbf{u}}\)). The output is in coefficient space.
- See also
- TetExp::v_HelmholtzMatrixOp_MatFree
Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 1119 of file PrismExp.cpp.
1122{
1126 int nqtot = nquad0 * nquad1 * nquad2;
1127 int i;
1128
1129 // Set up temporary storage.
1130 Array<OneD, NekDouble> alloc(11 * nqtot, 0.0);
1131 Array<OneD, NekDouble> wsp1(alloc); // TensorDeriv 1
1132 Array<OneD, NekDouble> wsp2(alloc + 1 * nqtot); // TensorDeriv 2
1133 Array<OneD, NekDouble> wsp3(alloc + 2 * nqtot); // TensorDeriv 3
1134 Array<OneD, NekDouble> g0(alloc + 3 * nqtot); // g0
1135 Array<OneD, NekDouble> g1(alloc + 4 * nqtot); // g1
1136 Array<OneD, NekDouble> g2(alloc + 5 * nqtot); // g2
1137 Array<OneD, NekDouble> g3(alloc + 6 * nqtot); // g3
1138 Array<OneD, NekDouble> g4(alloc + 7 * nqtot); // g4
1139 Array<OneD, NekDouble> g5(alloc + 8 * nqtot); // g5
1140 Array<OneD, NekDouble> h0(alloc + 3 * nqtot); // h0 == g0
1141 Array<OneD, NekDouble> h1(alloc + 6 * nqtot); // h1 == g3
1142 Array<OneD, NekDouble> wsp4(alloc + 4 * nqtot); // wsp4 == g1
1143 Array<OneD, NekDouble> wsp5(alloc + 5 * nqtot); // wsp5 == g2
1144 Array<OneD, NekDouble> wsp6(alloc + 8 * nqtot); // wsp6 == g5
1145 Array<OneD, NekDouble> wsp7(alloc + 3 * nqtot); // wsp7 == g0
1146 Array<OneD, NekDouble> wsp8(alloc + 9 * nqtot); // wsp8
1147 Array<OneD, NekDouble> wsp9(alloc + 10 * nqtot); // wsp9
1148
1155
1156 // Step 1. LAPLACIAN MATRIX OPERATION
1157 // wsp1 = du_dxi1 = D_xi1 * wsp0 = D_xi1 * u
1158 // wsp2 = du_dxi2 = D_xi2 * wsp0 = D_xi2 * u
1159 // wsp3 = du_dxi3 = D_xi3 * wsp0 = D_xi3 * u
1160 StdExpansion3D::PhysTensorDeriv(inarray, wsp1, wsp2, wsp3);
1161
1162 const Array<TwoD, const NekDouble> &df =
1166
1167 // Step 2. Calculate the metric terms of the collapsed
1168 // coordinate transformation (Spencer's book P152)
1169 for (i = 0; i < nquad2; ++i)
1170 {
1171 Vmath::Fill(nquad0 * nquad1, 2.0 / (1.0 - z2[i]),
1172 &h0[0] + i * nquad0 * nquad1, 1);
1173 Vmath::Fill(nquad0 * nquad1, 2.0 / (1.0 - z2[i]),
1174 &h1[0] + i * nquad0 * nquad1, 1);
1175 }
1176 for (i = 0; i < nquad0; i++)
1177 {
1178 Blas::Dscal(nquad1 * nquad2, 0.5 * (1 + z0[i]), &h1[0] + i, nquad0);
1179 }
1180
1181 // Step 3. Construct combined metric terms for physical space to
1182 // collapsed coordinate system. Order of construction optimised
1183 // to minimise temporary storage
1185 {
1186 // wsp4 = d eta_1/d x_1
1187 Vmath::Vvtvvtp(nqtot, &df[0][0], 1, &h0[0], 1, &df[2][0], 1, &h1[0], 1,
1188 &wsp4[0], 1);
1189 // wsp5 = d eta_2/d x_1
1190 Vmath::Vvtvvtp(nqtot, &df[3][0], 1, &h0[0], 1, &df[5][0], 1, &h1[0], 1,
1191 &wsp5[0], 1);
1192 // wsp6 = d eta_3/d x_1d
1193 Vmath::Vvtvvtp(nqtot, &df[6][0], 1, &h0[0], 1, &df[8][0], 1, &h1[0], 1,
1194 &wsp6[0], 1);
1195
1196 // g0 (overwrites h0)
1197 Vmath::Vvtvvtp(nqtot, &wsp4[0], 1, &wsp4[0], 1, &wsp5[0], 1, &wsp5[0],
1198 1, &g0[0], 1);
1199 Vmath::Vvtvp(nqtot, &wsp6[0], 1, &wsp6[0], 1, &g0[0], 1, &g0[0], 1);
1200
1201 // g3 (overwrites h1)
1202 Vmath::Vvtvvtp(nqtot, &df[1][0], 1, &wsp4[0], 1, &df[4][0], 1, &wsp5[0],
1203 1, &g3[0], 1);
1204 Vmath::Vvtvp(nqtot, &df[7][0], 1, &wsp6[0], 1, &g3[0], 1, &g3[0], 1);
1205
1206 // g4
1207 Vmath::Vvtvvtp(nqtot, &df[2][0], 1, &wsp4[0], 1, &df[5][0], 1, &wsp5[0],
1208 1, &g4[0], 1);
1209 Vmath::Vvtvp(nqtot, &df[8][0], 1, &wsp6[0], 1, &g4[0], 1, &g4[0], 1);
1210
1211 // Overwrite wsp4/5/6 with g1/2/5
1212 // g1
1213 Vmath::Vvtvvtp(nqtot, &df[1][0], 1, &df[1][0], 1, &df[4][0], 1,
1214 &df[4][0], 1, &g1[0], 1);
1215 Vmath::Vvtvp(nqtot, &df[7][0], 1, &df[7][0], 1, &g1[0], 1, &g1[0], 1);
1216
1217 // g2
1218 Vmath::Vvtvvtp(nqtot, &df[2][0], 1, &df[2][0], 1, &df[5][0], 1,
1219 &df[5][0], 1, &g2[0], 1);
1220 Vmath::Vvtvp(nqtot, &df[8][0], 1, &df[8][0], 1, &g2[0], 1, &g2[0], 1);
1221
1222 // g5
1223 Vmath::Vvtvvtp(nqtot, &df[1][0], 1, &df[2][0], 1, &df[4][0], 1,
1224 &df[5][0], 1, &g5[0], 1);
1225 Vmath::Vvtvp(nqtot, &df[7][0], 1, &df[8][0], 1, &g5[0], 1, &g5[0], 1);
1226 }
1227 else
1228 {
1229 // wsp4 = d eta_1/d x_1
1230 Vmath::Svtsvtp(nqtot, df[0][0], &h0[0], 1, df[2][0], &h1[0], 1,
1231 &wsp4[0], 1);
1232 // wsp5 = d eta_2/d x_1
1233 Vmath::Svtsvtp(nqtot, df[3][0], &h0[0], 1, df[5][0], &h1[0], 1,
1234 &wsp5[0], 1);
1235 // wsp6 = d eta_3/d x_1
1236 Vmath::Svtsvtp(nqtot, df[6][0], &h0[0], 1, df[8][0], &h1[0], 1,
1237 &wsp6[0], 1);
1238
1239 // g0 (overwrites h0)
1240 Vmath::Vvtvvtp(nqtot, &wsp4[0], 1, &wsp4[0], 1, &wsp5[0], 1, &wsp5[0],
1241 1, &g0[0], 1);
1242 Vmath::Vvtvp(nqtot, &wsp6[0], 1, &wsp6[0], 1, &g0[0], 1, &g0[0], 1);
1243
1244 // g3 (overwrites h1)
1245 Vmath::Svtsvtp(nqtot, df[1][0], &wsp4[0], 1, df[4][0], &wsp5[0], 1,
1246 &g3[0], 1);
1247 Vmath::Svtvp(nqtot, df[7][0], &wsp6[0], 1, &g3[0], 1, &g3[0], 1);
1248
1249 // g4
1250 Vmath::Svtsvtp(nqtot, df[2][0], &wsp4[0], 1, df[5][0], &wsp5[0], 1,
1251 &g4[0], 1);
1252 Vmath::Svtvp(nqtot, df[8][0], &wsp6[0], 1, &g4[0], 1, &g4[0], 1);
1253
1254 // Overwrite wsp4/5/6 with g1/2/5
1255 // g1
1256 Vmath::Fill(nqtot,
1257 df[1][0] * df[1][0] + df[4][0] * df[4][0] +
1258 df[7][0] * df[7][0],
1259 &g1[0], 1);
1260
1261 // g2
1262 Vmath::Fill(nqtot,
1263 df[2][0] * df[2][0] + df[5][0] * df[5][0] +
1264 df[8][0] * df[8][0],
1265 &g2[0], 1);
1266
1267 // g5
1268 Vmath::Fill(nqtot,
1269 df[1][0] * df[2][0] + df[4][0] * df[5][0] +
1270 df[7][0] * df[8][0],
1271 &g5[0], 1);
1272 }
1273 // Compute component derivatives into wsp7, 8, 9 (wsp7 overwrites
1274 // g0).
1275 Vmath::Vvtvvtp(nqtot, &g0[0], 1, &wsp1[0], 1, &g3[0], 1, &wsp2[0], 1,
1276 &wsp7[0], 1);
1277 Vmath::Vvtvp(nqtot, &g4[0], 1, &wsp3[0], 1, &wsp7[0], 1, &wsp7[0], 1);
1278 Vmath::Vvtvvtp(nqtot, &g1[0], 1, &wsp2[0], 1, &g3[0], 1, &wsp1[0], 1,
1279 &wsp8[0], 1);
1280 Vmath::Vvtvp(nqtot, &g5[0], 1, &wsp3[0], 1, &wsp8[0], 1, &wsp8[0], 1);
1281 Vmath::Vvtvvtp(nqtot, &g2[0], 1, &wsp3[0], 1, &g4[0], 1, &wsp1[0], 1,
1282 &wsp9[0], 1);
1283 Vmath::Vvtvp(nqtot, &g5[0], 1, &wsp2[0], 1, &wsp9[0], 1, &wsp9[0], 1);
1284
1285 // Step 4.
1286 // Multiply by quadrature metric
1287 MultiplyByQuadratureMetric(wsp7, wsp7);
1288 MultiplyByQuadratureMetric(wsp8, wsp8);
1289 MultiplyByQuadratureMetric(wsp9, wsp9);
1290
1291 // Perform inner product w.r.t derivative bases.
1293 true, true);
1295 false, true);
1296 IProductWRTBase_SumFacKernel(base0, base1, dbase2, wsp9, outarray, wsp,
1297 true, true, false);
1298
1299 // Step 5.
1300 // Sum contributions from wsp1, wsp2 and outarray.
1303}
static void Dscal(const int &n, const double &alpha, double *x, const int &incx)
BLAS level 1: x = alpha x.
Definition: Blas.hpp:149
void Svtsvtp(int n, const T alpha, const T *x, int incx, const T beta, const T *y, int incy, T *z, int incz)
Svtsvtp (scalar times vector plus scalar times vector):
Definition: Vmath.hpp:473
void Svtvp(int n, const T alpha, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
Svtvp (scalar times vector plus vector): z = alpha*x + y.
Definition: Vmath.hpp:396
void Vvtvvtp(int n, const T *v, int incv, const T *w, int incw, const T *x, int incx, const T *y, int incy, T *z, int incz)
vvtvvtp (vector times vector plus vector times vector):
Definition: Vmath.hpp:439
References Blas::Dscal(), Nektar::SpatialDomains::eDeformed, Vmath::Fill(), Nektar::StdRegions::StdExpansion::GetPointsKeys(), Nektar::StdRegions::StdExpansion3D::IProductWRTBase_SumFacKernel(), Nektar::StdRegions::StdExpansion::m_base, Nektar::LocalRegions::Expansion::m_metricinfo, Nektar::StdRegions::StdExpansion::m_ncoeffs, Nektar::StdRegions::StdExpansion::MultiplyByQuadratureMetric(), Vmath::Svtsvtp(), Vmath::Svtvp(), Vmath::Vadd(), Vmath::Vvtvp(), and Vmath::Vvtvvtp().
◆ v_MassMatrixOp()
|
overrideprotectedvirtual |
Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 985 of file PrismExp.cpp.
988{
989 StdExpansion::MassMatrixOp_MatFree(inarray, outarray, mkey);
990}
◆ v_NormalTraceDerivFactors()
|
overrideprotectedvirtual |
: This method gets all of the factors which are required as part of the Gradient Jump Penalty stabilisation and involves the product of the normal and geometric factors along the element trace.
Reimplemented from Nektar::LocalRegions::Expansion.
Definition at line 1549 of file PrismExp.cpp.
1553{
1557
1558 const Array<TwoD, const NekDouble> &df =
1560
1561 if (d0factors.size() != 5)
1562 {
1563 d0factors = Array<OneD, Array<OneD, NekDouble>>(5);
1564 d1factors = Array<OneD, Array<OneD, NekDouble>>(5);
1565 d2factors = Array<OneD, Array<OneD, NekDouble>>(5);
1566 }
1567
1568 if (d0factors[0].size() != nquad0 * nquad1)
1569 {
1570 d0factors[0] = Array<OneD, NekDouble>(nquad0 * nquad1);
1571 d1factors[0] = Array<OneD, NekDouble>(nquad0 * nquad1);
1572 d2factors[0] = Array<OneD, NekDouble>(nquad0 * nquad1);
1573 }
1574
1575 if (d0factors[1].size() != nquad0 * nquad2)
1576 {
1577 d0factors[1] = Array<OneD, NekDouble>(nquad0 * nquad2);
1578 d0factors[3] = Array<OneD, NekDouble>(nquad0 * nquad2);
1579 d1factors[1] = Array<OneD, NekDouble>(nquad0 * nquad2);
1580 d1factors[3] = Array<OneD, NekDouble>(nquad0 * nquad2);
1581 d2factors[1] = Array<OneD, NekDouble>(nquad0 * nquad2);
1582 d2factors[3] = Array<OneD, NekDouble>(nquad0 * nquad2);
1583 }
1584
1585 if (d0factors[2].size() != nquad1 * nquad2)
1586 {
1587 d0factors[2] = Array<OneD, NekDouble>(nquad1 * nquad2);
1588 d0factors[4] = Array<OneD, NekDouble>(nquad1 * nquad2);
1589 d1factors[2] = Array<OneD, NekDouble>(nquad1 * nquad2);
1590 d1factors[4] = Array<OneD, NekDouble>(nquad1 * nquad2);
1591 d2factors[2] = Array<OneD, NekDouble>(nquad1 * nquad2);
1592 d2factors[4] = Array<OneD, NekDouble>(nquad1 * nquad2);
1593 }
1594
1595 // Outwards normals
1596 const Array<OneD, const Array<OneD, NekDouble>> &normal_0 =
1597 GetTraceNormal(0);
1598 const Array<OneD, const Array<OneD, NekDouble>> &normal_1 =
1599 GetTraceNormal(1);
1600 const Array<OneD, const Array<OneD, NekDouble>> &normal_2 =
1601 GetTraceNormal(2);
1602 const Array<OneD, const Array<OneD, NekDouble>> &normal_3 =
1603 GetTraceNormal(3);
1604 const Array<OneD, const Array<OneD, NekDouble>> &normal_4 =
1605 GetTraceNormal(4);
1606
1607 int ncoords = normal_0.size();
1608
1609 // first gather together standard cartesian inner products
1611 {
1612 // face 0
1613 for (int i = 0; i < nquad0 * nquad1; ++i)
1614 {
1615 d0factors[0][i] = df[0][i] * normal_0[0][i];
1616 d1factors[0][i] = df[1][i] * normal_0[0][i];
1617 d2factors[0][i] = df[2][i] * normal_0[0][i];
1618 }
1619
1620 for (int n = 1; n < ncoords; ++n)
1621 {
1622 for (int i = 0; i < nquad0 * nquad1; ++i)
1623 {
1624 d0factors[0][i] += df[3 * n][i] * normal_0[n][i];
1625 d1factors[0][i] += df[3 * n + 1][i] * normal_0[n][i];
1626 d2factors[0][i] += df[3 * n + 2][i] * normal_0[n][i];
1627 }
1628 }
1629
1630 // faces 1 and 3
1631 for (int j = 0; j < nquad2; ++j)
1632 {
1633 for (int i = 0; i < nquad0; ++i)
1634 {
1635 d0factors[1][j * nquad0 + i] = df[0][j * nquad0 * nquad1 + i] *
1636 normal_1[0][j * nquad0 + i];
1637 d1factors[1][j * nquad0 + i] = df[1][j * nquad0 * nquad1 + i] *
1638 normal_1[0][j * nquad0 + i];
1639 d2factors[1][j * nquad0 + i] = df[2][j * nquad0 * nquad1 + i] *
1640 normal_1[0][j * nquad0 + i];
1641
1642 d0factors[3][j * nquad0 + i] =
1643 df[0][(j + 1) * nquad0 * nquad1 - nquad0 + i] *
1644 normal_3[0][j * nquad0 + i];
1645 d1factors[3][j * nquad0 + i] =
1646 df[1][(j + 1) * nquad0 * nquad1 - nquad0 + i] *
1647 normal_3[0][j * nquad0 + i];
1648 d2factors[3][j * nquad0 + i] =
1649 df[2][(j + 1) * nquad0 * nquad1 - nquad0 + i] *
1650 normal_3[0][j * nquad0 + i];
1651 }
1652 }
1653
1654 for (int n = 1; n < ncoords; ++n)
1655 {
1656 for (int j = 0; j < nquad2; ++j)
1657 {
1658 for (int i = 0; i < nquad0; ++i)
1659 {
1660 d0factors[1][j * nquad0 + i] +=
1661 df[3 * n][j * nquad0 * nquad1 + i] *
1662 normal_1[n][j * nquad0 + i];
1663 d1factors[1][j * nquad0 + i] +=
1664 df[3 * n + 1][j * nquad0 * nquad1 + i] *
1665 normal_1[n][j * nquad0 + i];
1666 d2factors[1][j * nquad0 + i] +=
1667 df[3 * n + 2][j * nquad0 * nquad1 + i] *
1668 normal_1[n][j * nquad0 + i];
1669
1670 d0factors[3][j * nquad0 + i] +=
1671 df[3 * n][(j + 1) * nquad0 * nquad1 - nquad0 + i] *
1672 normal_3[n][j * nquad0 + i];
1673 d1factors[3][j * nquad0 + i] +=
1674 df[3 * n + 1][(j + 1) * nquad0 * nquad1 - nquad0 + i] *
1675 normal_3[n][j * nquad0 + i];
1676 d2factors[3][j * nquad0 + i] +=
1677 df[3 * n + 2][(j + 1) * nquad0 * nquad1 - nquad0 + i] *
1678 normal_3[n][j * nquad0 + i];
1679 }
1680 }
1681 }
1682
1683 // faces 2 and 4
1684 for (int j = 0; j < nquad2; ++j)
1685 {
1686 for (int i = 0; i < nquad1; ++i)
1687 {
1688 d0factors[2][j * nquad1 + i] =
1689 df[0][j * nquad0 * nquad1 + (i + 1) * nquad0 - 1] *
1690 normal_2[0][j * nquad1 + i];
1691 d1factors[2][j * nquad1 + i] =
1692 df[1][j * nquad0 * nquad1 + (i + 1) * nquad0 - 1] *
1693 normal_2[0][j * nquad1 + i];
1694 d2factors[2][j * nquad1 + i] =
1695 df[2][j * nquad0 * nquad1 + (i + 1) * nquad0 - 1] *
1696 normal_2[0][j * nquad1 + i];
1697
1698 d0factors[4][j * nquad1 + i] =
1699 df[0][j * nquad0 * nquad1 + i * nquad0] *
1700 normal_4[0][j * nquad1 + i];
1701 d1factors[4][j * nquad1 + i] =
1702 df[1][j * nquad0 * nquad1 + i * nquad0] *
1703 normal_4[0][j * nquad1 + i];
1704 d2factors[4][j * nquad1 + i] =
1705 df[2][j * nquad0 * nquad1 + i * nquad0] *
1706 normal_4[0][j * nquad1 + i];
1707 }
1708 }
1709
1710 for (int n = 1; n < ncoords; ++n)
1711 {
1712 for (int j = 0; j < nquad2; ++j)
1713 {
1714 for (int i = 0; i < nquad1; ++i)
1715 {
1716 d0factors[2][j * nquad1 + i] +=
1717 df[3 * n][j * nquad0 * nquad1 + (i + 1) * nquad0 - 1] *
1718 normal_2[n][j * nquad1 + i];
1719 d1factors[2][j * nquad1 + i] +=
1720 df[3 * n + 1]
1721 [j * nquad0 * nquad1 + (i + 1) * nquad0 - 1] *
1722 normal_2[n][j * nquad1 + i];
1723 d2factors[2][j * nquad1 + i] +=
1724 df[3 * n + 2]
1725 [j * nquad0 * nquad1 + (i + 1) * nquad0 - 1] *
1726 normal_2[n][j * nquad1 + i];
1727
1728 d0factors[4][j * nquad1 + i] +=
1729 df[3 * n][j * nquad0 * nquad1 + i * nquad0] *
1730 normal_4[n][j * nquad1 + i];
1731 d1factors[4][j * nquad1 + i] +=
1732 df[3 * n + 1][j * nquad0 * nquad1 + i * nquad0] *
1733 normal_4[n][j * nquad1 + i];
1734 d2factors[4][j * nquad1 + i] +=
1735 df[3 * n + 2][j * nquad0 * nquad1 + i * nquad0] *
1736 normal_4[n][j * nquad1 + i];
1737 }
1738 }
1739 }
1740 }
1741 else
1742 {
1743 // Face 0
1744 for (int i = 0; i < nquad0 * nquad1; ++i)
1745 {
1746 d0factors[0][i] = df[0][0] * normal_0[0][i];
1747 d1factors[0][i] = df[1][0] * normal_0[0][i];
1748 d2factors[0][i] = df[2][0] * normal_0[0][i];
1749 }
1750
1751 for (int n = 1; n < ncoords; ++n)
1752 {
1753 for (int i = 0; i < nquad0 * nquad1; ++i)
1754 {
1755 d0factors[0][i] += df[3 * n][0] * normal_0[n][i];
1756 d1factors[0][i] += df[3 * n + 1][0] * normal_0[n][i];
1757 d2factors[0][i] += df[3 * n + 2][0] * normal_0[n][i];
1758 }
1759 }
1760
1761 // faces 1 and 3
1762 for (int i = 0; i < nquad0 * nquad2; ++i)
1763 {
1764 d0factors[1][i] = df[0][0] * normal_1[0][i];
1765 d0factors[3][i] = df[0][0] * normal_3[0][i];
1766
1767 d1factors[1][i] = df[1][0] * normal_1[0][i];
1768 d1factors[3][i] = df[1][0] * normal_3[0][i];
1769
1770 d2factors[1][i] = df[2][0] * normal_1[0][i];
1771 d2factors[3][i] = df[2][0] * normal_3[0][i];
1772 }
1773
1774 for (int n = 1; n < ncoords; ++n)
1775 {
1776 for (int i = 0; i < nquad0 * nquad2; ++i)
1777 {
1778 d0factors[1][i] += df[3 * n][0] * normal_1[n][i];
1779 d0factors[3][i] += df[3 * n][0] * normal_3[n][i];
1780
1781 d1factors[1][i] += df[3 * n + 1][0] * normal_1[n][i];
1782 d1factors[3][i] += df[3 * n + 1][0] * normal_3[n][i];
1783
1784 d2factors[1][i] += df[3 * n + 2][0] * normal_1[n][i];
1785 d2factors[3][i] += df[3 * n + 2][0] * normal_3[n][i];
1786 }
1787 }
1788
1789 // faces 2 and 4
1790 for (int i = 0; i < nquad1 * nquad2; ++i)
1791 {
1792 d0factors[2][i] = df[0][0] * normal_2[0][i];
1793 d0factors[4][i] = df[0][0] * normal_4[0][i];
1794
1795 d1factors[2][i] = df[1][0] * normal_2[0][i];
1796 d1factors[4][i] = df[1][0] * normal_4[0][i];
1797
1798 d2factors[2][i] = df[2][0] * normal_2[0][i];
1799 d2factors[4][i] = df[2][0] * normal_4[0][i];
1800 }
1801
1802 for (int n = 1; n < ncoords; ++n)
1803 {
1804 for (int i = 0; i < nquad1 * nquad2; ++i)
1805 {
1806 d0factors[2][i] += df[3 * n][0] * normal_2[n][i];
1807 d0factors[4][i] += df[3 * n][0] * normal_4[n][i];
1808
1809 d1factors[2][i] += df[3 * n + 1][0] * normal_2[n][i];
1810 d1factors[4][i] += df[3 * n + 1][0] * normal_4[n][i];
1811
1812 d2factors[2][i] += df[3 * n + 2][0] * normal_2[n][i];
1813 d2factors[4][i] += df[3 * n + 2][0] * normal_4[n][i];
1814 }
1815 }
1816 }
1817}
const NormalVector & GetTraceNormal(const int id)
Definition: Expansion.cpp:251
References Nektar::SpatialDomains::eDeformed, Nektar::StdRegions::StdExpansion::GetNumPoints(), Nektar::StdRegions::StdExpansion::GetPointsKeys(), Nektar::LocalRegions::Expansion::GetTraceNormal(), and Nektar::LocalRegions::Expansion::m_metricinfo.
◆ v_PhysDeriv()
|
overrideprotectedvirtual |
Calculate the derivative of the physical points.
The derivative is evaluated at the nodal physical points. Derivatives with respect to the local Cartesian coordinates.
\(\begin{Bmatrix} \frac {\partial} {\partial \xi_1} \\ \frac {\partial} {\partial \xi_2} \\ \frac {\partial} {\partial \xi_3} \end{Bmatrix} = \begin{Bmatrix} \frac 2 {(1-\eta_3)} \frac \partial {\partial \bar \eta_1} \\ \frac {\partial} {\partial \xi_2} \ \ \frac {(1 + \bar \eta_1)} {(1 - \eta_3)} \frac \partial {\partial \bar \eta_1} + \frac {\partial} {\partial \eta_3} \end{Bmatrix}\)
Reimplemented from Nektar::StdRegions::StdPrismExp.
Definition at line 123 of file PrismExp.cpp.
127{
129
130 Array<TwoD, const NekDouble> df =
132 Array<OneD, NekDouble> diff0(nqtot);
133 Array<OneD, NekDouble> diff1(nqtot);
134 Array<OneD, NekDouble> diff2(nqtot);
135
136 StdPrismExp::v_PhysDeriv(inarray, diff0, diff1, diff2);
137
139 {
140 if (out_d0.size())
141 {
142 Vmath::Vmul(nqtot, &df[0][0], 1, &diff0[0], 1, &out_d0[0], 1);
143 Vmath::Vvtvp(nqtot, &df[1][0], 1, &diff1[0], 1, &out_d0[0], 1,
144 &out_d0[0], 1);
145 Vmath::Vvtvp(nqtot, &df[2][0], 1, &diff2[0], 1, &out_d0[0], 1,
146 &out_d0[0], 1);
147 }
148
149 if (out_d1.size())
150 {
151 Vmath::Vmul(nqtot, &df[3][0], 1, &diff0[0], 1, &out_d1[0], 1);
152 Vmath::Vvtvp(nqtot, &df[4][0], 1, &diff1[0], 1, &out_d1[0], 1,
153 &out_d1[0], 1);
154 Vmath::Vvtvp(nqtot, &df[5][0], 1, &diff2[0], 1, &out_d1[0], 1,
155 &out_d1[0], 1);
156 }
157
158 if (out_d2.size())
159 {
160 Vmath::Vmul(nqtot, &df[6][0], 1, &diff0[0], 1, &out_d2[0], 1);
161 Vmath::Vvtvp(nqtot, &df[7][0], 1, &diff1[0], 1, &out_d2[0], 1,
162 &out_d2[0], 1);
163 Vmath::Vvtvp(nqtot, &df[8][0], 1, &diff2[0], 1, &out_d2[0], 1,
164 &out_d2[0], 1);
165 }
166 }
167 else // regular geometry
168 {
169 if (out_d0.size())
170 {
171 Vmath::Smul(nqtot, df[0][0], &diff0[0], 1, &out_d0[0], 1);
172 Blas::Daxpy(nqtot, df[1][0], &diff1[0], 1, &out_d0[0], 1);
173 Blas::Daxpy(nqtot, df[2][0], &diff2[0], 1, &out_d0[0], 1);
174 }
175
176 if (out_d1.size())
177 {
178 Vmath::Smul(nqtot, df[3][0], &diff0[0], 1, &out_d1[0], 1);
179 Blas::Daxpy(nqtot, df[4][0], &diff1[0], 1, &out_d1[0], 1);
180 Blas::Daxpy(nqtot, df[5][0], &diff2[0], 1, &out_d1[0], 1);
181 }
182
183 if (out_d2.size())
184 {
185 Vmath::Smul(nqtot, df[6][0], &diff0[0], 1, &out_d2[0], 1);
186 Blas::Daxpy(nqtot, df[7][0], &diff1[0], 1, &out_d2[0], 1);
187 Blas::Daxpy(nqtot, df[8][0], &diff2[0], 1, &out_d2[0], 1);
188 }
189 }
190}
int GetTotPoints() const
This function returns the total number of quadrature points used in the element.
Definition: StdExpansion.h:134
static void Daxpy(const int &n, const double &alpha, const double *x, const int &incx, const double *y, const int &incy)
BLAS level 1: y = alpha x plus y.
Definition: Blas.hpp:135
References Blas::Daxpy(), Nektar::SpatialDomains::eDeformed, Nektar::StdRegions::StdExpansion::GetPointsKeys(), Nektar::StdRegions::StdExpansion::GetTotPoints(), Nektar::LocalRegions::Expansion::m_metricinfo, Vmath::Smul(), Vmath::Vmul(), and Vmath::Vvtvp().
◆ v_PhysEvaluate() [1/2]
|
overrideprotectedvirtual |
This function evaluates the expansion at a single (arbitrary) point of the domain.
Based on the value of the expansion at the quadrature points, this function calculates the value of the expansion at an arbitrary single points (with coordinates \( \mathbf{x_c}\) given by the pointer coords). This operation, equivalent to
\[ u(\mathbf{x_c}) = \sum_p \phi_p(\mathbf{x_c}) \hat{u}_p \]
is evaluated using Lagrangian interpolants through the quadrature points:
\[ u(\mathbf{x_c}) = \sum_p h_p(\mathbf{x_c}) u_p\]
This function requires that the physical value array \(\mathbf{u}\) (implemented as the attribute #phys) is set.
- Parameters
-
coords the coordinates of the single point
- Returns
- returns the value of the expansion at the single point
Reimplemented from Nektar::StdRegions::StdExpansion3D.
Definition at line 519 of file PrismExp.cpp.
521{
522 Array<OneD, NekDouble> Lcoord(3);
523
525
526 m_geom->GetLocCoords(coord, Lcoord);
527
528 return StdExpansion3D::v_PhysEvaluate(Lcoord, physvals);
529}
References ASSERTL0, and Nektar::LocalRegions::Expansion::m_geom.
◆ v_PhysEvaluate() [2/2]
|
overrideprotectedvirtual |
Reimplemented from Nektar::StdRegions::StdPrismExp.
Definition at line 531 of file PrismExp.cpp.
534{
535 Array<OneD, NekDouble> Lcoord(3);
537 m_geom->GetLocCoords(coord, Lcoord);
538 return StdPrismExp::v_PhysEvaluate(Lcoord, inarray, firstOrderDerivs);
539}
References ASSERTL0, and Nektar::LocalRegions::Expansion::m_geom.
◆ v_StdPhysEvaluate()
|
overrideprotectedvirtual |
Given the local cartesian coordinate Lcoord evaluate the value of physvals at this point by calling through to the StdExpansion method
Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 511 of file PrismExp.cpp.
514{
515 // Evaluate point in local (eta) coordinates.
516 return StdExpansion3D::v_PhysEvaluate(Lcoord, physvals);
517}
◆ v_SVVLaplacianFilter()
|
overrideprotectedvirtual |
Reimplemented from Nektar::StdRegions::StdPrismExp.
Definition at line 1014 of file PrismExp.cpp.
1016{
1018
1019 // Calculate sqrt of the Jacobian
1021 Array<OneD, NekDouble> sqrt_jac(nq);
1023 {
1024 Vmath::Vsqrt(nq, jac, 1, sqrt_jac, 1);
1025 }
1026 else
1027 {
1029 }
1030
1031 // Multiply array by sqrt(Jac)
1032 Vmath::Vmul(nq, sqrt_jac, 1, array, 1, array, 1);
1033
1034 // Apply std region filter
1035 StdPrismExp::v_SVVLaplacianFilter(array, mkey);
1036
1037 // Divide by sqrt(Jac)
1038 Vmath::Vdiv(nq, array, 1, sqrt_jac, 1, array, 1);
1039}
void Vdiv(int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
Multiply vector z = x/y.
Definition: Vmath.hpp:126
References Nektar::SpatialDomains::eDeformed, Vmath::Fill(), Nektar::StdRegions::StdExpansion::GetPointsKeys(), Nektar::StdRegions::StdExpansion::GetTotPoints(), Nektar::LocalRegions::Expansion::m_metricinfo, tinysimd::sqrt(), Vmath::Vdiv(), Vmath::Vmul(), and Vmath::Vsqrt().
Member Data Documentation
◆ m_matrixManager
|
private |
Definition at line 198 of file PrismExp.h.
Referenced by v_DropLocMatrix(), v_FwdTrans(), and v_GetLocMatrix().
◆ m_staticCondMatrixManager
|
private |
Definition at line 200 of file PrismExp.h.
Referenced by v_DropLocStaticCondMatrix(), and v_GetLocStaticCondMatrix().
