#include <NodalTriExp.h>
Inheritance diagram for Nektar::LocalRegions::NodalTriExp:
Public Member Functions | |
| NodalTriExp (const LibUtilities::BasisKey &Ba, const LibUtilities::BasisKey &Bb, const LibUtilities::PointsType Ntype, const SpatialDomains::TriGeomSharedPtr &geom) | |
| Constructor using BasisKey class for quadrature points and order definition. More... | |
| NodalTriExp (const NodalTriExp &T) | |
| Copy Constructor. More... | |
| ~NodalTriExp () override=default | |
| Destructor. More... | |
| void | GetCoords (Array< OneD, NekDouble > &coords_1, Array< OneD, NekDouble > &coords_2, Array< OneD, NekDouble > &coords_3=NullNekDouble1DArray) |
| void | GetCoord (const Array< OneD, const NekDouble > &Lcoords, Array< OneD, NekDouble > &coords) |
| NekDouble | Integral (const Array< OneD, const NekDouble > &inarray) |
| Integrate the physical point list inarray over region. More... | |
| void | IProductWRTBase (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
| Inner product of inarray over region with respect to the expansion basis (this)->_Base[0] and return in outarray. More... | |
| void | IProductWRTDerivBase (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
| void | PhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1, Array< OneD, NekDouble > &out_d2=NullNekDouble1DArray) |
| Differentiation Methods. More... | |
| void | FwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
| Forward transform from physical quadrature space stored in inarray and evaluate the expansion coefficients and store in (this)->_coeffs More... | |
| NekDouble | PhysEvaluate (const Array< OneD, const NekDouble > &coord, const Array< OneD, const NekDouble > &physvals) |
| void | MassMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey) |
| NekDouble | v_PhysEvaluate (const Array< OneD, NekDouble > &coord, const Array< OneD, const NekDouble > &inarray, std::array< NekDouble, 3 > &firstOrderDerivs) final |
| void | LaplacianMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey) |
| void | LaplacianMatrixOp (const int k1, const int k2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey) |
| void | WeakDerivMatrixOp (const int i, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey) |
| void | HelmholtzMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey) |
 Public Member Functions inherited from Nektar::StdRegions::StdNodalTriExp | |
| StdNodalTriExp (const LibUtilities::BasisKey &Ba, const LibUtilities::BasisKey &Bb, const LibUtilities::PointsType Ntype) | |
| StdNodalTriExp ()=default | |
| StdNodalTriExp (const StdNodalTriExp &T)=default | |
| ~StdNodalTriExp () override=default | |
| void | NodalToModal (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
| void | NodalToModalTranspose (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
| void | ModalToNodal (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
| void | GetNodalPoints (Array< OneD, const NekDouble > &x, Array< OneD, const NekDouble > &y) |
| DNekMatSharedPtr | GenNBasisTransMatrix () |
| Public Member Functions inherited from Nektar::StdRegions::StdTriExp | |
| StdTriExp (const LibUtilities::BasisKey &Ba, const LibUtilities::BasisKey &Bb) | |
| StdTriExp ()=default | |
| StdTriExp (const StdTriExp &T)=default | |
| ~StdTriExp () override=default | |
| Public Member Functions inherited from Nektar::StdRegions::StdExpansion2D | |
| StdExpansion2D (int numcoeffs, const LibUtilities::BasisKey &Ba, const LibUtilities::BasisKey &Bb) | |
| StdExpansion2D ()=default | |
| StdExpansion2D (const StdExpansion2D &T)=default | |
| ~StdExpansion2D () override=default | |
| void | PhysTensorDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray_d0, Array< OneD, NekDouble > &outarray_d1) |
| Calculate the 2D derivative in the local tensor/collapsed coordinate at the physical points. More... | |
| NekDouble | Integral (const Array< OneD, const NekDouble > &inarray, const Array< OneD, const NekDouble > &w0, const Array< OneD, const NekDouble > &w1) |
| NekDouble | BaryTensorDeriv (const Array< OneD, NekDouble > &coord, const Array< OneD, const NekDouble > &inarray, std::array< NekDouble, 3 > &firstOrderDerivs) |
| void | BwdTrans_SumFacKernel (const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0=true, bool doCheckCollDir1=true) |
| void | IProductWRTBase_SumFacKernel (const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0=true, bool doCheckCollDir1=true) |
| 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::Expansion2D | |
| Expansion2D (SpatialDomains::Geometry2DSharedPtr pGeom) | |
| ~Expansion2D () override=default | |
| DNekScalMatSharedPtr | CreateMatrix (const MatrixKey &mkey) |
| void | SetTraceToGeomOrientation (Array< OneD, ExpansionSharedPtr > &EdgeExp, Array< OneD, NekDouble > &inout) |
| Array< OneD, unsigned int > | GetTraceInverseBoundaryMap (int eid) |
| void | AddNormTraceInt (const int dir, Array< OneD, ExpansionSharedPtr > &EdgeExp, Array< OneD, Array< OneD, NekDouble > > &edgeCoeffs, Array< OneD, NekDouble > &outarray) |
| void | AddNormTraceInt (const int dir, Array< OneD, const NekDouble > &inarray, Array< OneD, ExpansionSharedPtr > &EdgeExp, Array< OneD, NekDouble > &outarray, const StdRegions::VarCoeffMap &varcoeffs) |
| void | AddEdgeBoundaryInt (const int edge, ExpansionSharedPtr &EdgeExp, Array< OneD, NekDouble > &edgePhys, Array< OneD, NekDouble > &outarray, const StdRegions::VarCoeffMap &varcoeffs=StdRegions::NullVarCoeffMap) |
| void | AddHDGHelmholtzEdgeTerms (const NekDouble tau, const int edge, Array< OneD, ExpansionSharedPtr > &EdgeExp, Array< OneD, NekDouble > &edgePhys, const StdRegions::VarCoeffMap &dirForcing, Array< OneD, NekDouble > &outarray) |
| void | AddHDGHelmholtzTraceTerms (const NekDouble tau, const Array< OneD, const NekDouble > &inarray, Array< OneD, ExpansionSharedPtr > &EdgeExp, const StdRegions::VarCoeffMap &dirForcing, Array< OneD, NekDouble > &outarray) |
| SpatialDomains::Geometry2DSharedPtr | GetGeom2D () const |
| void | ReOrientEdgePhysMap (const int nvert, const StdRegions::Orientation orient, const int nq0, Array< OneD, int > &idmap) |
| DNekMatSharedPtr | v_GenMatrix (const StdRegions::StdMatrixKey &mkey) override |
| void | v_GenTraceExp (const int traceid, ExpansionSharedPtr &exp) override |
| 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 | |
| DNekMatSharedPtr | CreateStdMatrix (const StdRegions::StdMatrixKey &mkey) |
| void | IProductWRTBase_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool multiplybyweights=true) |
| void | IProductWRTBase_MatOp (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 | IProductWRTDerivBase_MatOp (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
| void | GeneralMatrixOp_MatOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey) |
| StdRegions::StdExpansionSharedPtr | v_GetStdExp (void) const override |
| StdRegions::StdExpansionSharedPtr | v_GetLinStdExp (void) const override |
| DNekMatSharedPtr | v_GenMatrix (const StdRegions::StdMatrixKey &mkey) override |
| Protected Member Functions inherited from Nektar::StdRegions::StdNodalTriExp | |
| const LibUtilities::PointsKey | v_GetNodalPointsKey () const override |
| bool | v_IsNodalNonTensorialExp () 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_FwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override |
| Transform a given function from physical quadrature space to coefficient space. More... | |
| void | v_IProductWRTBase (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override |
| Calculates the inner product of a given function f with the different modes of the expansion. 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 |
| void | v_IProductWRTDerivBase_SumFac (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override |
| void | v_FillMode (const int mode, Array< OneD, NekDouble > &outarray) override |
| int | v_NumBndryCoeffs () const override |
| int | v_GetVertexMap (int localVertexId, bool useCoeffPacking=false) override |
| void | v_GetTraceToElementMap (const int eid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, Orientation edgeOrient=eForwards, int P=-1, int Q=-1) override |
| void | v_GetTraceInteriorToElementMap (const int eid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, const Orientation edgeOrient=eForwards) override |
| void | v_GetInteriorMap (Array< OneD, unsigned int > &outarray) override |
| void | v_GetBoundaryMap (Array< OneD, unsigned int > &outarray) override |
| void | v_MassMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) override |
| void | v_LaplacianMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) override |
| void | v_LaplacianMatrixOp (const int k1, const int k2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) override |
| void | v_WeakDerivMatrixOp (const int i, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) override |
| void | v_HelmholtzMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) override |
| DNekMatSharedPtr | v_GenMatrix (const StdMatrixKey &mkey) override |
| DNekMatSharedPtr | v_CreateStdMatrix (const StdMatrixKey &mkey) override |
| Protected Member Functions inherited from Nektar::StdRegions::StdTriExp | |
| NekDouble | v_Integral (const Array< OneD, const NekDouble > &inarray) override |
| Integrates the specified function over the domain. 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=NullNekDouble1DArray) 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=NullNekDouble1DArray) 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 |
| Backward tranform for triangular elements. More... | |
| 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 > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0, bool doCheckCollDir1) override |
| void | v_FwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override |
| Transform a given function from physical quadrature space to coefficient space. More... | |
| void | v_FwdTransBndConstrained (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override |
| 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[p]*base1[pq] 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 > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0, bool doCheckCollDir1) override |
| void | v_IProductWRTDerivBase (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override |
| 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_FillMode (const int mode, Array< OneD, NekDouble > &outarray) override |
| NekDouble | v_PhysEvaluateBasis (const Array< OneD, const NekDouble > &coords, int mode) final |
| NekDouble | v_PhysEvaluate (const Array< OneD, NekDouble > &coord, const Array< OneD, const NekDouble > &inarray, std::array< NekDouble, 3 > &firstOrderDerivs) override |
| int | v_GetNverts () const final |
| int | v_GetNtraces () const final |
| LibUtilities::ShapeType | v_DetShapeType () const final |
| 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_CalcNumberOfCoefficients (const std::vector< unsigned int > &nummodes, int &modes_offset) override |
| void | v_GetCoords (Array< OneD, NekDouble > &coords_x, Array< OneD, NekDouble > &coords_y, Array< OneD, NekDouble > &coords_z) override |
| bool | v_IsBoundaryInteriorExpansion () const override |
| const LibUtilities::BasisKey | v_GetTraceBasisKey (const int i, const int j) 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 traceid, Array< OneD, unsigned int > &maparray) override |
| void | v_GetTraceInteriorToElementMap (const int eid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, const Orientation edgeOrient=eForwards) override |
| DNekMatSharedPtr | v_GenMatrix (const StdMatrixKey &mkey) override |
| DNekMatSharedPtr | v_CreateStdMatrix (const StdMatrixKey &mkey) override |
| void | v_MassMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) override |
| void | v_LaplacianMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) 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 |
| void | v_LaplacianMatrixOp (const int k1, const int k2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) override |
| void | v_WeakDerivMatrixOp (const int i, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) override |
| void | v_HelmholtzMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) override |
| void | v_MultiplyByStdQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override |
| void | v_GetSimplexEquiSpacedConnectivity (Array< OneD, int > &conn, bool standard=true) override |
| Protected Member Functions inherited from Nektar::StdRegions::StdExpansion2D | |
| 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 > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0, bool doCheckCollDir1)=0 |
| virtual void | v_IProductWRTBase_SumFacKernel (const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0, bool doCheckCollDir1)=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 |
| void | v_GetTraceCoeffMap (const unsigned int traceid, Array< OneD, unsigned int > &maparray) override |
| void | v_GetElmtTraceToTraceMap (const unsigned int eid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, Orientation edgeOrient, int P, int Q) override |
| Determine the mapping to re-orientate the coefficients along the element trace (assumed to align with the standard element) into the orientation of the local trace given by edgeOrient. More... | |
| void | v_GetTraceToElementMap (const int eid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, Orientation edgeOrient=eForwards, int P=-1, int Q=-1) 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::Expansion2D | |
| void | v_DGDeriv (const int dir, const Array< OneD, const NekDouble > &incoeffs, Array< OneD, ExpansionSharedPtr > &EdgeExp, Array< OneD, Array< OneD, NekDouble > > &edgeCoeffs, Array< OneD, NekDouble > &out_d) override |
| void | v_AddEdgeNormBoundaryInt (const int edge, const ExpansionSharedPtr &EdgeExp, const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, Array< OneD, NekDouble > &outarray) override |
| void | v_AddEdgeNormBoundaryInt (const int edge, const ExpansionSharedPtr &EdgeExp, const Array< OneD, const NekDouble > &Fn, Array< OneD, NekDouble > &outarray) override |
| void | v_AddRobinMassMatrix (const int edgeid, const Array< OneD, const NekDouble > &primCoeffs, DNekMatSharedPtr &inoutmat) override |
| void | v_AddRobinTraceContribution (const int traceid, const Array< OneD, const NekDouble > &primCoeffs, const Array< OneD, NekDouble > &incoeffs, Array< OneD, NekDouble > &coeffs) override |
| DNekMatSharedPtr | v_BuildVertexMatrix (const DNekScalMatSharedPtr &r_bnd) override |
| void | v_ReOrientTracePhysMap (const StdRegions::Orientation orient, Array< OneD, int > &idmap, const int nq0, const int nq1) override |
| void | v_SetUpPhysNormals (const int edge) override |
| NekDouble | v_VectorFlux (const Array< OneD, Array< OneD, NekDouble > > &vec) 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_GetCoords (Array< OneD, NekDouble > &coords_0, Array< OneD, NekDouble > &coords_1=NullNekDouble1DArray, Array< OneD, NekDouble > &coords_2=NullNekDouble1DArray) override |
| void | v_GetCoord (const Array< OneD, const NekDouble > &lcoord, Array< OneD, NekDouble > &coord) override |
| NekDouble | v_Integral (const Array< OneD, const NekDouble > &inarray) override |
| Virtual call to integrate the physical point list inarray over region (see SegExp::Integral) More... | |
| void | v_IProductWRTBase (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override |
| Virtual call to TriExp::IProduct_WRT_B. More... | |
| void | v_IProductWRTDerivBase (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override |
| void | v_StdPhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1, Array< OneD, NekDouble > &out_d2=NullNekDouble1DArray) override |
| void | v_PhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1, Array< OneD, NekDouble > &out_d2=NullNekDouble1DArray) 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_FwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override |
| Virtual call to SegExp::FwdTrans. More... | |
| NekDouble | v_PhysEvaluate (const Array< OneD, const NekDouble > &coord, const Array< OneD, const NekDouble > &physvals) override |
| Virtual call to TriExp::Evaluate. More... | |
| DNekMatSharedPtr | v_CreateStdMatrix (const StdRegions::StdMatrixKey &mkey) override |
| DNekScalMatSharedPtr | v_GetLocMatrix (const MatrixKey &mkey) override |
| void | v_DropLocMatrix (const MatrixKey &mkey) override |
| DNekScalBlkMatSharedPtr | v_GetLocStaticCondMatrix (const MatrixKey &mkey) override |
| void | v_BwdTrans_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override |
| void | v_IProductWRTBase_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool multiplybyweights=true) override |
| 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_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_WeakDerivMatrixOp (const int i, 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_ComputeTraceNormal (const int edge) override |
Detailed Description
Definition at line 48 of file NodalTriExp.h.
Constructor & Destructor Documentation
◆ NodalTriExp() [1/2]
| Nektar::LocalRegions::NodalTriExp::NodalTriExp | ( | const LibUtilities::BasisKey & | Ba, |
| const LibUtilities::BasisKey & | Bb, | ||
| const LibUtilities::PointsType | Ntype, | ||
| const SpatialDomains::TriGeomSharedPtr & | geom | ||
| ) |
Constructor using BasisKey class for quadrature points and order definition.
Definition at line 42 of file NodalTriExp.cpp.
47 Ba.GetNumModes(), (Bb.GetNumModes())),
48 2, Ba, Bb),
50 Ba.GetNumModes(), (Bb.GetNumModes())),
51 Ba, Bb),
53 m_matrixManager(
55 std::string("NodalTriExpMatrix")),
57 this, std::placeholders::_1),
58 std::string("NodalTriExpStaticCondMatrix"))
59{
60}
DNekScalMatSharedPtr CreateMatrix(const MatrixKey &mkey)
Definition: Expansion2D.cpp:55
Expansion2D(SpatialDomains::Geometry2DSharedPtr pGeom)
Definition: Expansion2D.cpp:50
DNekScalBlkMatSharedPtr CreateStaticCondMatrix(const MatrixKey &mkey)
Definition: Expansion.cpp:272
Expansion(SpatialDomains::GeometrySharedPtr pGeom)
Definition: Expansion.cpp:43
LibUtilities::NekManager< MatrixKey, DNekScalMat, MatrixKey::opLess > m_matrixManager
Definition: NodalTriExp.h:192
LibUtilities::NekManager< MatrixKey, DNekScalBlkMat, MatrixKey::opLess > m_staticCondMatrixManager
Definition: NodalTriExp.h:194
StdExpansion2D()=default
StdNodalTriExp()=default
int getNumberOfCoefficients(int Na, int Nb)
Definition: ShapeType.hpp:109
◆ NodalTriExp() [2/2]
| Nektar::LocalRegions::NodalTriExp::NodalTriExp | ( | const NodalTriExp & | T | ) |
Copy Constructor.
Definition at line 62 of file NodalTriExp.cpp.
63 : StdExpansion(T),
64 StdExpansion2D(T), StdRegions::StdTriExp(T), StdRegions::StdNodalTriExp(
65 T),
67 m_staticCondMatrixManager(T.m_staticCondMatrixManager)
68{
69}
◆ ~NodalTriExp()
|
overridedefault |
Destructor.
Member Function Documentation
◆ CreateStdMatrix()
|
protected |
Definition at line 436 of file NodalTriExp.cpp.
438{
439 LibUtilities::BasisKey bkey0 = m_base[0]->GetBasisKey();
440 LibUtilities::BasisKey bkey1 = m_base[1]->GetBasisKey();
442 StdRegions::StdNodalTriExpSharedPtr tmp =
443 MemoryManager<StdNodalTriExp>::AllocateSharedPtr(bkey0, bkey1, ntype);
444
445 return tmp->GetStdMatrix(mkey);
446}
PointsType GetPointsType() const
Definition: Points.h:90
static std::shared_ptr< DataType > AllocateSharedPtr(const Args &...args)
Allocate a shared pointer from the memory pool.
Definition: NekMemoryManager.hpp:166
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1173
LibUtilities::PointsKey m_nodalPointsKey
Definition: StdNodalTriExp.h:70
std::shared_ptr< StdNodalTriExp > StdNodalTriExpSharedPtr
Definition: StdNodalTriExp.h:167
References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), Nektar::LibUtilities::PointsKey::GetPointsType(), Nektar::StdRegions::StdExpansion::m_base, and Nektar::StdRegions::StdNodalTriExp::m_nodalPointsKey.
Referenced by v_CreateStdMatrix().
◆ FwdTrans()
| void Nektar::LocalRegions::NodalTriExp::FwdTrans | ( | const Array< OneD, const NekDouble > & | inarray, |
| Array< OneD, NekDouble > & | outarray | ||
| ) |
Forward transform from physical quadrature space stored in inarray and evaluate the expansion coefficients and store in (this)->_coeffs
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.
Definition at line 369 of file NodalTriExp.cpp.
371{
372 IProductWRTBase(inarray, outarray);
373
374 // get Mass matrix inverse
380
381 // copy inarray in case inarray == outarray
384
385 out = (*matsys) * in;
386}
void IProductWRTBase(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
Inner product of inarray over region with respect to the expansion basis (this)->_Base[0] and return ...
Definition: NodalTriExp.h:82
LibUtilities::ShapeType DetShapeType() const
This function returns the shape of the expansion domain.
Definition: StdExpansion.h:367
static ConstFactorMap NullConstFactorMap
Definition: StdRegions.hpp:403
std::shared_ptr< DNekScalMat > DNekScalMatSharedPtr
Definition: NekMatrixFwd.hpp:66
References Nektar::StdRegions::StdExpansion::DetShapeType(), Nektar::eCopy, Nektar::StdRegions::eInvMass, Nektar::eWrapper, Nektar::LibUtilities::PointsKey::GetPointsType(), IProductWRTBase(), m_matrixManager, Nektar::StdRegions::StdExpansion::m_ncoeffs, Nektar::StdRegions::StdNodalTriExp::m_nodalPointsKey, Nektar::StdRegions::NullConstFactorMap, and Nektar::StdRegions::NullVarCoeffMap.
Referenced by v_FwdTrans().
◆ GeneralMatrixOp_MatOp()
|
protected |
Definition at line 388 of file NodalTriExp.cpp.
391{
393
394 if (inarray.get() == outarray.get())
395 {
396 Array<OneD, NekDouble> tmp(m_ncoeffs);
398
400 (mat->GetOwnedMatrix())->GetPtr().get(), m_ncoeffs,
401 tmp.get(), 1, 0.0, outarray.get(), 1);
402 }
403 else
404 {
406 (mat->GetOwnedMatrix())->GetPtr().get(), m_ncoeffs,
407 inarray.get(), 1, 0.0, outarray.get(), 1);
408 }
409}
DNekScalMatSharedPtr GetLocMatrix(const LocalRegions::MatrixKey &mkey)
Definition: Expansion.cpp:84
static void Dgemv(const char &trans, const int &m, const int &n, const double &alpha, const double *a, const int &lda, const double *x, const int &incx, const double &beta, double *y, const int &incy)
BLAS level 2: Matrix vector multiply y = alpha A x plus beta y where A[m x n].
Definition: Blas.hpp:211
void Vcopy(int n, const T *x, const int incx, T *y, const int incy)
Definition: Vmath.hpp:825
References Blas::Dgemv(), Nektar::LocalRegions::Expansion::GetLocMatrix(), Nektar::StdRegions::StdExpansion::m_ncoeffs, and Vmath::Vcopy().
◆ GetCoord()
| void Nektar::LocalRegions::NodalTriExp::GetCoord | ( | const Array< OneD, const NekDouble > & | Lcoords, |
| Array< OneD, NekDouble > & | coords | ||
| ) |
Definition at line 419 of file NodalTriExp.cpp.
421{
422 int i;
423
424 ASSERTL1(Lcoords[0] >= -1.0 && Lcoords[1] <= 1.0 && Lcoords[1] >= -1.0 &&
425 Lcoords[1] <= 1.0,
426 "Local coordinates are not in region [-1,1]");
427
428 m_geom->FillGeom();
429
431 {
432 coords[i] = m_geom->GetCoord(i, Lcoords);
433 }
434}
#define ASSERTL1(condition, msg)
Assert Level 1 – Debugging which is used whether in FULLDEBUG or DEBUG compilation mode....
Definition: ErrorUtil.hpp:242
SpatialDomains::GeometrySharedPtr m_geom
Definition: Expansion.h:273
References ASSERTL1, and Nektar::LocalRegions::Expansion::m_geom.
Referenced by v_GetCoord().
◆ GetCoords()
| void Nektar::LocalRegions::NodalTriExp::GetCoords | ( | Array< OneD, NekDouble > & | coords_1, |
| Array< OneD, NekDouble > & | coords_2, | ||
| Array< OneD, NekDouble > & | coords_3 = NullNekDouble1DArray |
||
| ) |
Definition at line 411 of file NodalTriExp.cpp.
414{
415 Expansion::v_GetCoords(coords_0, coords_1, coords_2);
416}
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().
Referenced by v_GetCoords().
◆ HelmholtzMatrixOp()
|
inline |
Definition at line 156 of file NodalTriExp.h.
159 {
160 StdExpansion::HelmholtzMatrixOp_MatFree_GenericImpl(inarray, outarray,
161 mkey);
162 }
Referenced by v_HelmholtzMatrixOp().
◆ Integral()
| NekDouble Nektar::LocalRegions::NodalTriExp::Integral | ( | const Array< OneD, const NekDouble > & | inarray | ) |
Integrate the physical point list inarray over region.
Integrate the physical point list inarray over region and return the value.
Inputs:
- inarray: definition of function to be returned at quadrature point of expansion.
Outputs:
- returns \(\int^1_{-1}\int^1_{-1} u(\xi_1, \xi_2) J[i,j] d \xi_1 d \xi_2 \) where \(inarray[i,j] = u(\xi_{1i},\xi_{2j}) \) and \( J[i,j] \) is the Jacobian evaluated at the quadrature point.
Definition at line 91 of file NodalTriExp.cpp.
92{
96 NekDouble ival;
97 Array<OneD, NekDouble> tmp(nquad0 * nquad1);
98
99 // multiply inarray with Jacobian
101 {
102 Vmath::Vmul(nquad0 * nquad1, jac, 1, inarray, 1, tmp, 1);
103 }
104 else
105 {
106 Vmath::Smul(nquad0 * nquad1, jac[0], inarray, 1, tmp, 1);
107 }
108
109 // call StdQuadExp version;
110 ival = StdNodalTriExp::v_Integral(tmp);
111 return ival;
112}
SpatialDomains::GeomFactorsSharedPtr m_metricinfo
Definition: Expansion.h:274
const LibUtilities::PointsKeyVector GetPointsKeys() const
Definition: StdExpansion.h:1095
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 Smul(int n, const T alpha, const T *x, const int incx, T *y, const int incy)
Scalar multiply y = alpha*x.
Definition: Vmath.hpp:100
References Nektar::SpatialDomains::eDeformed, Nektar::StdRegions::StdExpansion::GetPointsKeys(), Nektar::StdRegions::StdExpansion::m_base, Nektar::LocalRegions::Expansion::m_metricinfo, Vmath::Smul(), and Vmath::Vmul().
Referenced by v_Integral().
◆ IProductWRTBase()
|
inline |
Inner product of inarray over region with respect to the expansion basis (this)->_Base[0] and return in outarray.
Definition at line 82 of file NodalTriExp.h.
84 {
85 NodalTriExp::IProductWRTBase_SumFac(inarray, outarray);
86 }
void IProductWRTBase_SumFac(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool multiplybyweights=true)
Definition: NodalTriExp.cpp:114
References IProductWRTBase_SumFac().
Referenced by FwdTrans(), and v_IProductWRTBase().
◆ IProductWRTBase_MatOp()
|
protected |
Definition at line 143 of file NodalTriExp.cpp.
146{
150
152 (iprodmat->GetOwnedMatrix())->GetPtr().get(), m_ncoeffs,
153 inarray.get(), 1, 0.0, outarray.get(), 1);
154}
int GetTotPoints() const
This function returns the total number of quadrature points used in the element.
Definition: StdExpansion.h:134
References Nektar::StdRegions::StdExpansion::DetShapeType(), Blas::Dgemv(), Nektar::StdRegions::eIProductWRTBase, Nektar::StdRegions::StdExpansion::GetTotPoints(), m_matrixManager, and Nektar::StdRegions::StdExpansion::m_ncoeffs.
◆ IProductWRTBase_SumFac()
|
protected |
Definition at line 114 of file NodalTriExp.cpp.
117{
121
122 if (multiplybyweights)
123 {
124 Array<OneD, NekDouble> tmp(nquad0 * nquad1 + nquad0 * order1);
125 Array<OneD, NekDouble> wsp(tmp + nquad0 * nquad1);
126
127 MultiplyByQuadratureMetric(inarray, tmp);
128 StdTriExp::IProductWRTBase_SumFacKernel(
130 NodalToModalTranspose(outarray, outarray);
131 }
132 else
133 {
134 Array<OneD, NekDouble> wsp(nquad0 * order1);
135
136 StdTriExp::IProductWRTBase_SumFacKernel(m_base[0]->GetBdata(),
137 m_base[1]->GetBdata(), inarray,
138 outarray, wsp);
139 NodalToModalTranspose(outarray, outarray);
140 }
141}
void MultiplyByQuadratureMetric(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
Definition: StdExpansion.h:723
void NodalToModalTranspose(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
Definition: StdNodalTriExp.cpp:81
References Nektar::StdRegions::StdExpansion::m_base, Nektar::StdRegions::StdExpansion::MultiplyByQuadratureMetric(), and Nektar::StdRegions::StdNodalTriExp::NodalToModalTranspose().
Referenced by IProductWRTBase(), and v_IProductWRTBase_SumFac().
◆ IProductWRTDerivBase()
|
inline |
Definition at line 88 of file NodalTriExp.h.
91 {
92 NodalTriExp::IProductWRTDerivBase_SumFac(dir, inarray, outarray);
93 }
void IProductWRTDerivBase_SumFac(const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
Definition: NodalTriExp.cpp:156
References IProductWRTDerivBase_SumFac().
Referenced by v_IProductWRTDerivBase().
◆ IProductWRTDerivBase_MatOp()
|
protected |
Definition at line 252 of file NodalTriExp.cpp.
255{
258
259 switch (dir)
260 {
261 case 0:
262 {
263 mtype = StdRegions::eIProductWRTDerivBase0;
264 }
265 break;
266 case 1:
267 {
268 mtype = StdRegions::eIProductWRTDerivBase1;
269 }
270 break;
271 case 2:
272 {
273 mtype = StdRegions::eIProductWRTDerivBase2;
274 }
275 break;
276 default:
277 {
279 }
280 break;
281 }
282
285
287 (iprodmat->GetOwnedMatrix())->GetPtr().get(), m_ncoeffs,
288 inarray.get(), 1, 0.0, outarray.get(), 1);
289}
References ASSERTL1, Nektar::StdRegions::StdExpansion::DetShapeType(), Blas::Dgemv(), Nektar::StdRegions::eIProductWRTDerivBase0, Nektar::StdRegions::eIProductWRTDerivBase1, Nektar::StdRegions::eIProductWRTDerivBase2, Nektar::StdRegions::StdExpansion::GetTotPoints(), m_matrixManager, and Nektar::StdRegions::StdExpansion::m_ncoeffs.
◆ IProductWRTDerivBase_SumFac()
|
protected |
Definition at line 156 of file NodalTriExp.cpp.
159{
162 int nqtot = nquad0 * nquad1;
164
165 Array<OneD, NekDouble> tmp0(4 * wspsize);
166 Array<OneD, NekDouble> tmp1(tmp0 + wspsize);
167 Array<OneD, NekDouble> tmp2(tmp0 + 2 * wspsize);
168 Array<OneD, NekDouble> tmp3(tmp0 + 3 * wspsize);
169
170 Array<OneD, Array<OneD, NekDouble>> tmp2D{2};
171 tmp2D[0] = tmp1;
172 tmp2D[1] = tmp2;
173
174 AlignVectorToCollapsedDir(dir, inarray, tmp2D);
175
176 MultiplyByQuadratureMetric(tmp1, tmp1);
177 MultiplyByQuadratureMetric(tmp2, tmp2);
178
180 tmp1, tmp3, tmp0);
182 tmp2, outarray, tmp0);
184
185 NodalToModalTranspose(outarray, outarray);
186}
void AlignVectorToCollapsedDir(const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray)
Definition: Expansion.h:151
void IProductWRTBase_SumFacKernel(const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0=true, bool doCheckCollDir1=true)
Definition: StdExpansion2D.cpp:198
void Vadd(int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
Add vector z = x+y.
Definition: Vmath.hpp:180
References Nektar::LocalRegions::Expansion::AlignVectorToCollapsedDir(), Nektar::StdRegions::StdExpansion2D::IProductWRTBase_SumFacKernel(), Nektar::StdRegions::StdExpansion::m_base, Nektar::StdRegions::StdExpansion::m_ncoeffs, Nektar::StdRegions::StdExpansion::MultiplyByQuadratureMetric(), Nektar::StdRegions::StdNodalTriExp::NodalToModalTranspose(), and Vmath::Vadd().
Referenced by IProductWRTDerivBase(), and v_IProductWRTDerivBase_SumFac().
◆ LaplacianMatrixOp() [1/2]
|
inline |
Definition at line 131 of file NodalTriExp.h.
134 {
135 StdExpansion::LaplacianMatrixOp_MatFree_GenericImpl(inarray, outarray,
136 mkey);
137 }
Referenced by v_LaplacianMatrixOp().
◆ LaplacianMatrixOp() [2/2]
|
inline |
Definition at line 139 of file NodalTriExp.h.
143 {
144 StdExpansion::LaplacianMatrixOp_MatFree(k1, k2, inarray, outarray,
145 mkey);
146 }
◆ MassMatrixOp()
|
inline |
Definition at line 119 of file NodalTriExp.h.
122 {
123 StdExpansion::MassMatrixOp_MatFree(inarray, outarray, mkey);
124 }
Referenced by v_MassMatrixOp().
◆ PhysDeriv()
| void Nektar::LocalRegions::NodalTriExp::PhysDeriv | ( | const Array< OneD, const NekDouble > & | inarray, |
| Array< OneD, NekDouble > & | out_d0, | ||
| Array< OneD, NekDouble > & | out_d1, | ||
| Array< OneD, NekDouble > & | out_d2 = NullNekDouble1DArray |
||
| ) |
Differentiation Methods.
Calculate the deritive of the physical points
Definition at line 298 of file NodalTriExp.cpp.
302{
305 int nqtot = nquad0 * nquad1;
306 const Array<TwoD, const NekDouble> &df =
308
309 Array<OneD, NekDouble> diff0(2 * nqtot);
310 Array<OneD, NekDouble> diff1(diff0 + nqtot);
311
312 StdNodalTriExp::v_PhysDeriv(inarray, diff0, diff1);
313
315 {
316 if (out_d0.size())
317 {
318 Vmath::Vmul(nqtot, df[0], 1, diff0, 1, out_d0, 1);
319 Vmath::Vvtvp(nqtot, df[1], 1, diff1, 1, out_d0, 1, out_d0, 1);
320 }
321
322 if (out_d1.size())
323 {
324 Vmath::Vmul(nqtot, df[2], 1, diff0, 1, out_d1, 1);
325 Vmath::Vvtvp(nqtot, df[3], 1, diff1, 1, out_d1, 1, out_d1, 1);
326 }
327
328 if (out_d2.size())
329 {
330 Vmath::Vmul(nqtot, df[4], 1, diff0, 1, out_d2, 1);
331 Vmath::Vvtvp(nqtot, df[5], 1, diff1, 1, out_d2, 1, out_d2, 1);
332 }
333 }
334 else // regular geometry
335 {
336 if (out_d0.size())
337 {
338 Vmath::Smul(nqtot, df[0][0], diff0, 1, out_d0, 1);
339 Blas::Daxpy(nqtot, df[1][0], diff1, 1, out_d0, 1);
340 }
341
342 if (out_d1.size())
343 {
344 Vmath::Smul(nqtot, df[2][0], diff0, 1, out_d1, 1);
345 Blas::Daxpy(nqtot, df[3][0], diff1, 1, out_d1, 1);
346 }
347
348 if (out_d2.size())
349 {
350 Vmath::Smul(nqtot, df[4][0], diff0, 1, out_d2, 1);
351 Blas::Daxpy(nqtot, df[5][0], diff1, 1, out_d2, 1);
352 }
353 }
354}
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
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
References Blas::Daxpy(), Nektar::SpatialDomains::eDeformed, Nektar::StdRegions::StdExpansion::GetPointsKeys(), Nektar::StdRegions::StdExpansion::m_base, Nektar::LocalRegions::Expansion::m_metricinfo, Vmath::Smul(), Vmath::Vmul(), and Vmath::Vvtvp().
Referenced by v_PhysDeriv().
◆ PhysEvaluate()
| NekDouble Nektar::LocalRegions::NodalTriExp::PhysEvaluate | ( | const Array< OneD, const NekDouble > & | coord, |
| const Array< OneD, const NekDouble > & | physvals | ||
| ) |
Definition at line 448 of file NodalTriExp.cpp.
452{
453 Array<OneD, NekDouble> Lcoord = Array<OneD, NekDouble>(2);
454
456 m_geom->GetLocCoords(coord, Lcoord);
457
458 return StdExpansion2D::v_PhysEvaluate(Lcoord, physvals);
459}
References ASSERTL0, and Nektar::LocalRegions::Expansion::m_geom.
Referenced by v_PhysEvaluate().
◆ v_AlignVectorToCollapsedDir()
|
overrideprivatevirtual |
Reimplemented from Nektar::LocalRegions::Expansion.
Definition at line 188 of file NodalTriExp.cpp.
191{
194 "Invalid direction.");
195
198 int nqtot = nquad0 * nquad1;
200
201 const Array<TwoD, const NekDouble> &df =
203
204 Array<OneD, NekDouble> tmp0(4 * wspsize);
205 Array<OneD, NekDouble> tmp3(tmp0 + wspsize);
206 Array<OneD, NekDouble> gfac0(tmp0 + 2 * wspsize);
207 Array<OneD, NekDouble> gfac1(tmp0 + 3 * wspsize);
208
209 Array<OneD, NekDouble> tmp1 = outarray[0];
210 Array<OneD, NekDouble> tmp2 = outarray[1];
211
214
215 // set up geometric factor: 2/(1-z1)
216 for (int i = 0; i < nquad1; ++i)
217 {
218 gfac0[i] = 2.0 / (1 - z1[i]);
219 }
220 for (int i = 0; i < nquad0; ++i)
221 {
222 gfac1[i] = 0.5 * (1 + z0[i]);
223 }
224
225 for (int i = 0; i < nquad1; ++i)
226 {
227 Vmath::Smul(nquad0, gfac0[i], &inarray[0] + i * nquad0, 1,
228 &tmp0[0] + i * nquad0, 1);
229 }
230
231 for (int i = 0; i < nquad1; ++i)
232 {
233 Vmath::Vmul(nquad0, &gfac1[0], 1, &tmp0[0] + i * nquad0, 1,
234 &tmp1[0] + i * nquad0, 1);
235 }
236
238 {
239 Vmath::Vmul(nqtot, &df[2 * dir][0], 1, &tmp0[0], 1, &tmp0[0], 1);
240 Vmath::Vmul(nqtot, &df[2 * dir + 1][0], 1, &tmp1[0], 1, &tmp1[0], 1);
241 Vmath::Vmul(nqtot, &df[2 * dir + 1][0], 1, &inarray[0], 1, &tmp2[0], 1);
242 }
243 else
244 {
245 Vmath::Smul(nqtot, df[2 * dir][0], tmp0, 1, tmp0, 1);
246 Vmath::Smul(nqtot, df[2 * dir + 1][0], tmp1, 1, tmp1, 1);
247 Vmath::Smul(nqtot, df[2 * dir + 1][0], inarray, 1, tmp2, 1);
248 }
249 Vmath::Vadd(nqtot, tmp0, 1, tmp1, 1, tmp1, 1);
250}
References ASSERTL1, Nektar::SpatialDomains::eDeformed, Nektar::StdRegions::StdExpansion::GetPointsKeys(), Nektar::StdRegions::StdExpansion::m_base, Nektar::LocalRegions::Expansion::m_geom, Nektar::LocalRegions::Expansion::m_metricinfo, Nektar::StdRegions::StdExpansion::m_ncoeffs, Vmath::Smul(), Vmath::Vadd(), and Vmath::Vmul().
◆ v_BwdTrans_SumFac()
|
inlineoverrideprivatevirtual |
Reimplemented from Nektar::StdRegions::StdNodalTriExp.
Definition at line 309 of file NodalTriExp.h.
311 {
312 StdNodalTriExp::v_BwdTrans_SumFac(inarray, outarray);
313 }
◆ v_ComputeTraceNormal()
|
overrideprivatevirtual |
Reimplemented from Nektar::LocalRegions::Expansion.
Definition at line 512 of file NodalTriExp.cpp.
513{
514 int i;
516 GetGeom()->GetMetricInfo();
518
520 const Array<TwoD, const NekDouble> &df =
521 geomFactors->GetDerivFactors(ptsKeys);
522 const Array<OneD, const NekDouble> &jac = geomFactors->GetJac(ptsKeys);
525
526 m_traceNormals[edge] = Array<OneD, Array<OneD, NekDouble>>(dim);
527 Array<OneD, Array<OneD, NekDouble>> &normal = m_traceNormals[edge];
528 for (i = 0; i < dim; ++i)
529 {
530 normal[i] = Array<OneD, NekDouble>(nqe);
531 }
532
533 size_t nqb = nqe;
534 size_t nbnd = edge;
535 m_elmtBndNormDirElmtLen[nbnd] = Array<OneD, NekDouble>{nqb, 0.0};
536 Array<OneD, NekDouble> &length = m_elmtBndNormDirElmtLen[nbnd];
537
538 // Regular geometry case
540 (type == SpatialDomains::eMovingRegular))
541 {
542 NekDouble fac;
543 // Set up normals
544 switch (edge)
545 {
546 case 0:
548 {
549 Vmath::Fill(nqe, -df[2 * i + 1][0], normal[i], 1);
550 }
551 break;
552 case 1:
554 {
555 Vmath::Fill(nqe, df[2 * i + 1][0] + df[2 * i][0], normal[i],
556 1);
557 }
558 break;
559 case 2:
561 {
562 Vmath::Fill(nqe, -df[2 * i][0], normal[i], 1);
563 }
564 break;
565 default:
567 }
568
569 // normalise
570 fac = 0.0;
572 {
573 fac += normal[i][0] * normal[i][0];
574 }
575 fac = 1.0 / sqrt(fac);
576
577 Vmath::Fill(nqb, fac, length, 1);
578
580 {
581 Vmath::Smul(nqe, fac, normal[i], 1, normal[i], 1);
582 }
583 }
584 else // Set up deformed normals
585 {
586 int j;
587
588 int nquad0 = ptsKeys[0].GetNumPoints();
589 int nquad1 = ptsKeys[1].GetNumPoints();
590
591 LibUtilities::PointsKey from_key;
592
593 Array<OneD, NekDouble> normals(GetCoordim() * max(nquad0, nquad1), 0.0);
594 Array<OneD, NekDouble> edgejac(GetCoordim() * max(nquad0, nquad1), 0.0);
595
596 // Extract Jacobian along edges and recover local
597 // derivates (dx/dr) for polynomial interpolation by
598 // multiplying m_gmat by jacobian
599 switch (edge)
600 {
601 case 0:
602 for (j = 0; j < nquad0; ++j)
603 {
604 edgejac[j] = jac[j];
606 {
607 normals[i * nquad0 + j] =
608 -df[2 * i + 1][j] * edgejac[j];
609 }
610 }
611 from_key = ptsKeys[0];
612 break;
613 case 1:
614 for (j = 0; j < nquad1; ++j)
615 {
616 edgejac[j] = jac[nquad0 * j + nquad0 - 1];
618 {
619 normals[i * nquad1 + j] =
620 (df[2 * i][nquad0 * j + nquad0 - 1] +
621 df[2 * i + 1][nquad0 * j + nquad0 - 1]) *
622 edgejac[j];
623 }
624 }
625 from_key = ptsKeys[1];
626 break;
627 case 2:
628 for (j = 0; j < nquad1; ++j)
629 {
630 edgejac[j] = jac[nquad0 * j];
632 {
633 normals[i * nquad1 + j] =
634 -df[2 * i][nquad0 * j] * edgejac[j];
635 }
636 }
637 from_key = ptsKeys[1];
638 break;
639 default:
641 }
642
643 int nq = from_key.GetNumPoints();
644 Array<OneD, NekDouble> work(nqe, 0.0);
645
646 // interpolate Jacobian and invert
648 Vmath::Sdiv(nq, 1.0, &work[0], 1, &work[0], 1);
649
650 // interpolate
652 {
653 LibUtilities::Interp1D(from_key, &normals[i * nq],
654 m_base[0]->GetPointsKey(), &normal[i][0]);
655 Vmath::Vmul(nqe, work, 1, normal[i], 1, normal[i], 1);
656 }
657
658 // normalise normal vectors
659 Vmath::Zero(nqe, work, 1);
661 {
662 Vmath::Vvtvp(nqe, normal[i], 1, normal[i], 1, work, 1, work, 1);
663 }
664
665 Vmath::Vsqrt(nqe, work, 1, work, 1);
666 Vmath::Sdiv(nqe, 1.0, work, 1, work, 1);
667
668 Vmath::Vcopy(nqb, work, 1, length, 1);
669
671 {
672 Vmath::Vmul(nqe, normal[i], 1, work, 1, normal[i], 1);
673 }
674
675 // Reverse direction so that points are in
676 // anticlockwise direction if edge >=2
677 if (edge >= 2)
678 {
680 {
681 Vmath::Reverse(nqe, normal[i], 1, normal[i], 1);
682 }
683 }
684 }
685}
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
void Interp1D(const BasisKey &fbasis0, const Array< OneD, const NekDouble > &from, const BasisKey &tbasis0, Array< OneD, NekDouble > &to)
this function interpolates a 1D function evaluated at the quadrature points of the basis fbasis0 to ...
Definition: Interp.cpp:47
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 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
void Reverse(int n, const T *x, const int incx, T *y, const int incy)
Definition: Vmath.hpp:844
References ASSERTL0, Nektar::SpatialDomains::eMovingRegular, Nektar::SpatialDomains::eRegular, Vmath::Fill(), Nektar::StdRegions::StdExpansion::GetCoordim(), Nektar::LocalRegions::Expansion::GetGeom(), Nektar::LibUtilities::PointsKey::GetNumPoints(), Nektar::StdRegions::StdExpansion::GetPointsKeys(), Nektar::LibUtilities::Interp1D(), Nektar::StdRegions::StdExpansion::m_base, Nektar::LocalRegions::Expansion::m_elmtBndNormDirElmtLen, Nektar::LocalRegions::Expansion::m_traceNormals, Vmath::Reverse(), Vmath::Sdiv(), Vmath::Smul(), tinysimd::sqrt(), Vmath::Vcopy(), Vmath::Vmul(), Vmath::Vsqrt(), Vmath::Vvtvp(), and Vmath::Zero().
◆ v_CreateStdMatrix()
|
inlineoverrideprivatevirtual |
Reimplemented from Nektar::StdRegions::StdNodalTriExp.
Definition at line 287 of file NodalTriExp.h.
289 {
291 }
DNekMatSharedPtr CreateStdMatrix(const StdRegions::StdMatrixKey &mkey)
Definition: NodalTriExp.cpp:436
References CreateStdMatrix().
◆ v_DropLocMatrix()
|
inlineoverrideprivatevirtual |
Reimplemented from Nektar::LocalRegions::Expansion.
Definition at line 298 of file NodalTriExp.h.
References m_matrixManager.
◆ v_FwdTrans()
|
inlineoverrideprivatevirtual |
Virtual call to SegExp::FwdTrans.
Reimplemented from Nektar::StdRegions::StdNodalTriExp.
Definition at line 273 of file NodalTriExp.h.
275 {
276 FwdTrans(inarray, outarray);
277 }
void FwdTrans(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
Forward transform from physical quadrature space stored in inarray and evaluate the expansion coeffic...
Definition: NodalTriExp.cpp:369
References FwdTrans().
◆ v_GenMatrix()
|
overrideprotectedvirtual |
Reimplemented from Nektar::StdRegions::StdNodalTriExp.
Definition at line 491 of file NodalTriExp.cpp.
492{
493 DNekMatSharedPtr returnval;
494
495 switch (mkey.GetMatrixType())
496 {
503 returnval = Expansion2D::v_GenMatrix(mkey);
504 break;
505 default:
506 returnval = StdNodalTriExp::v_GenMatrix(mkey);
507 break;
508 }
509 return returnval;
510}
DNekMatSharedPtr v_GenMatrix(const StdRegions::StdMatrixKey &mkey) override
Definition: Expansion2D.cpp:1250
References Nektar::StdRegions::eHybridDGHelmBndLam, Nektar::StdRegions::eHybridDGHelmholtz, Nektar::StdRegions::eHybridDGLamToQ0, Nektar::StdRegions::eHybridDGLamToQ1, Nektar::StdRegions::eHybridDGLamToQ2, Nektar::StdRegions::eHybridDGLamToU, Nektar::StdRegions::StdMatrixKey::GetMatrixType(), and Nektar::LocalRegions::Expansion2D::v_GenMatrix().
◆ v_GetCoord()
|
inlineoverrideprivatevirtual |
Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 204 of file NodalTriExp.h.
206 {
207 GetCoord(lcoord, coord);
208 }
void GetCoord(const Array< OneD, const NekDouble > &Lcoords, Array< OneD, NekDouble > &coords)
Definition: NodalTriExp.cpp:419
References GetCoord().
◆ v_GetCoords()
|
inlineoverrideprivatevirtual |
Reimplemented from Nektar::StdRegions::StdTriExp.
Definition at line 196 of file NodalTriExp.h.
200 {
201 GetCoords(coords_0, coords_1, coords_2);
202 }
void GetCoords(Array< OneD, NekDouble > &coords_1, Array< OneD, NekDouble > &coords_2, Array< OneD, NekDouble > &coords_3=NullNekDouble1DArray)
Definition: NodalTriExp.cpp:411
References GetCoords().
◆ v_GetLinStdExp()
|
overrideprotectedvirtual |
Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 480 of file NodalTriExp.cpp.
481{
483 m_base[0]->GetPointsKey());
485 m_base[1]->GetPointsKey());
486
489}
LibUtilities::BasisType GetBasisType(const int dir) const
This function returns the type of basis used in the dir direction.
Definition: StdExpansion.h:156
References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), Nektar::StdRegions::StdExpansion::GetBasisType(), Nektar::LibUtilities::PointsKey::GetPointsType(), Nektar::StdRegions::StdExpansion::m_base, and Nektar::StdRegions::StdNodalTriExp::m_nodalPointsKey.
◆ v_GetLocMatrix()
|
inlineoverrideprivatevirtual |
Reimplemented from Nektar::LocalRegions::Expansion.
Definition at line 293 of file NodalTriExp.h.
References m_matrixManager.
◆ v_GetLocStaticCondMatrix()
|
inlineoverrideprivatevirtual |
Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 303 of file NodalTriExp.h.
References m_staticCondMatrixManager.
◆ v_GetStdExp()
|
overrideprotectedvirtual |
Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 472 of file NodalTriExp.cpp.
473{
474
478}
References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), Nektar::LibUtilities::PointsKey::GetPointsType(), Nektar::StdRegions::StdExpansion::m_base, and Nektar::StdRegions::StdNodalTriExp::m_nodalPointsKey.
◆ v_HelmholtzMatrixOp()
|
inlineoverrideprivatevirtual |
Reimplemented from Nektar::StdRegions::StdNodalTriExp.
Definition at line 364 of file NodalTriExp.h.
367 {
368 HelmholtzMatrixOp(inarray, outarray, mkey);
369 }
void HelmholtzMatrixOp(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey)
Definition: NodalTriExp.h:156
References HelmholtzMatrixOp().
◆ v_Integral()
|
inlineoverrideprivatevirtual |
Virtual call to integrate the physical point list inarray over region (see SegExp::Integral)
Reimplemented from Nektar::StdRegions::StdTriExp.
Definition at line 212 of file NodalTriExp.h.
213 {
215 }
NekDouble Integral(const Array< OneD, const NekDouble > &inarray)
Integrate the physical point list inarray over region.
Definition: NodalTriExp.cpp:91
References Integral().
◆ v_IProductWRTBase()
|
inlineoverrideprivatevirtual |
Virtual call to TriExp::IProduct_WRT_B.
Reimplemented from Nektar::StdRegions::StdNodalTriExp.
Definition at line 218 of file NodalTriExp.h.
References IProductWRTBase().
◆ v_IProductWRTBase_SumFac()
|
inlineoverrideprivatevirtual |
Reimplemented from Nektar::StdRegions::StdNodalTriExp.
Definition at line 315 of file NodalTriExp.h.
References IProductWRTBase_SumFac().
◆ v_IProductWRTDerivBase()
|
inlineoverrideprivatevirtual |
Reimplemented from Nektar::StdRegions::StdNodalTriExp.
Definition at line 224 of file NodalTriExp.h.
227 {
228 IProductWRTDerivBase(dir, inarray, outarray);
229 }
void IProductWRTDerivBase(const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
Definition: NodalTriExp.h:88
References IProductWRTDerivBase().
◆ v_IProductWRTDerivBase_SumFac()
|
inlineoverrideprivatevirtual |
Reimplemented from Nektar::StdRegions::StdNodalTriExp.
Definition at line 323 of file NodalTriExp.h.
References IProductWRTDerivBase_SumFac().
◆ v_LaplacianMatrixOp() [1/2]
|
inlineoverrideprivatevirtual |
Reimplemented from Nektar::StdRegions::StdNodalTriExp.
Definition at line 341 of file NodalTriExp.h.
344 {
345 LaplacianMatrixOp(inarray, outarray, mkey);
346 }
void LaplacianMatrixOp(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey)
Definition: NodalTriExp.h:131
References LaplacianMatrixOp().
◆ v_LaplacianMatrixOp() [2/2]
|
inlineoverrideprivatevirtual |
Reimplemented from Nektar::StdRegions::StdNodalTriExp.
Definition at line 348 of file NodalTriExp.h.
References LaplacianMatrixOp().
◆ v_MassMatrixOp()
|
inlineoverrideprivatevirtual |
Reimplemented from Nektar::StdRegions::StdNodalTriExp.
Definition at line 334 of file NodalTriExp.h.
337 {
338 MassMatrixOp(inarray, outarray, mkey);
339 }
void MassMatrixOp(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey)
Definition: NodalTriExp.h:119
References MassMatrixOp().
◆ v_PhysDeriv() [1/2]
|
inlineoverrideprivatevirtual |
Calculate the derivative of the physical points.
\( \frac{\partial u}{\partial x_1} = \left . \frac{2.0}{1-\eta_2} \frac{\partial u}{\partial d\eta_1} \right |_{\eta_2}\)
\( \frac{\partial u}{\partial x_2} = \left . \frac{1+\eta_1}{1-\eta_2} \frac{\partial u}{\partial d\eta_1} \right |_{\eta_2} + \left . \frac{\partial u}{\partial d\eta_2} \right |_{\eta_1} \)
Reimplemented from Nektar::StdRegions::StdTriExp.
Definition at line 239 of file NodalTriExp.h.
244 {
245 PhysDeriv(inarray, out_d0, out_d1);
246 }
void PhysDeriv(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1, Array< OneD, NekDouble > &out_d2=NullNekDouble1DArray)
Differentiation Methods.
Definition: NodalTriExp.cpp:298
References PhysDeriv().
◆ v_PhysDeriv() [2/2]
|
inlineoverrideprivatevirtual |
Calculate the derivative of the physical points in a given direction.
Reimplemented from Nektar::StdRegions::StdTriExp.
Definition at line 248 of file NodalTriExp.h.
250 {
251 Array<OneD, NekDouble> tmp;
252 switch (dir)
253 {
254 case 0:
255 {
256 PhysDeriv(inarray, outarray, tmp);
257 }
258 break;
259 case 1:
260 {
261 PhysDeriv(inarray, tmp, outarray);
262 }
263 break;
264 default:
265 {
267 }
268 break;
269 }
270 }
References ASSERTL1, and PhysDeriv().
◆ v_PhysEvaluate() [1/2]
|
inlineoverrideprivatevirtual |
Virtual call to TriExp::Evaluate.
Reimplemented from Nektar::StdRegions::StdExpansion2D.
Definition at line 280 of file NodalTriExp.h.
283 {
285 }
NekDouble PhysEvaluate(const Array< OneD, const NekDouble > &coord, const Array< OneD, const NekDouble > &physvals)
Definition: NodalTriExp.cpp:448
References PhysEvaluate().
◆ v_PhysEvaluate() [2/2]
|
finalvirtual |
Reimplemented from Nektar::StdRegions::StdExpansion2D.
Definition at line 461 of file NodalTriExp.cpp.
465{
466 Array<OneD, NekDouble> Lcoord(2);
468 m_geom->GetLocCoords(coord, Lcoord);
469 return StdExpansion2D::v_PhysEvaluate(Lcoord, inarray, firstOrderDerivs);
470}
References ASSERTL0, and Nektar::LocalRegions::Expansion::m_geom.
◆ v_StdPhysDeriv()
|
inlineoverrideprivatevirtual |
Reimplemented from Nektar::StdRegions::StdTriExp.
Definition at line 231 of file NodalTriExp.h.
235 {
236 StdTriExp::v_PhysDeriv(inarray, out_d0, out_d1, out_d2);
237 }
◆ v_WeakDerivMatrixOp()
|
inlineoverrideprivatevirtual |
Reimplemented from Nektar::StdRegions::StdNodalTriExp.
Definition at line 356 of file NodalTriExp.h.
360 {
361 WeakDerivMatrixOp(i, inarray, outarray, mkey);
362 }
void WeakDerivMatrixOp(const int i, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey)
Definition: NodalTriExp.h:148
References WeakDerivMatrixOp().
◆ WeakDerivMatrixOp()
|
inline |
Definition at line 148 of file NodalTriExp.h.
152 {
153 StdExpansion::WeakDerivMatrixOp_MatFree(i, inarray, outarray, mkey);
154 }
Referenced by v_WeakDerivMatrixOp().
Member Data Documentation
◆ m_matrixManager
|
private |
Definition at line 192 of file NodalTriExp.h.
Referenced by FwdTrans(), IProductWRTBase_MatOp(), IProductWRTDerivBase_MatOp(), v_DropLocMatrix(), and v_GetLocMatrix().
◆ m_staticCondMatrixManager
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private |
Definition at line 194 of file NodalTriExp.h.
Referenced by v_GetLocStaticCondMatrix().
