#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.
65 m_matrixManager(T.m_matrixManager),
66 m_staticCondMatrixManager(T.m_staticCondMatrixManager)
67{
68}
◆ ~NodalTriExp()
|
overridedefault |
Destructor.
Member Function Documentation
◆ CreateStdMatrix()
|
protected |
Definition at line 435 of file NodalTriExp.cpp.
437{
438 LibUtilities::BasisKey bkey0 = m_base[0]->GetBasisKey();
439 LibUtilities::BasisKey bkey1 = m_base[1]->GetBasisKey();
441 StdRegions::StdNodalTriExpSharedPtr tmp =
442 MemoryManager<StdNodalTriExp>::AllocateSharedPtr(bkey0, bkey1, ntype);
443
444 return tmp->GetStdMatrix(mkey);
445}
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 368 of file NodalTriExp.cpp.
370{
371 IProductWRTBase(inarray, outarray);
372
373 // get Mass matrix inverse
379
380 // copy inarray in case inarray == outarray
383
384 out = (*matsys) * in;
385}
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:431
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 387 of file NodalTriExp.cpp.
390{
392
393 if (inarray.get() == outarray.get())
394 {
395 Array<OneD, NekDouble> tmp(m_ncoeffs);
397
399 (mat->GetOwnedMatrix())->GetPtr().get(), m_ncoeffs,
400 tmp.get(), 1, 0.0, outarray.get(), 1);
401 }
402 else
403 {
405 (mat->GetOwnedMatrix())->GetPtr().get(), m_ncoeffs,
406 inarray.get(), 1, 0.0, outarray.get(), 1);
407 }
408}
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 418 of file NodalTriExp.cpp.
420{
421 int i;
422
423 ASSERTL1(Lcoords[0] >= -1.0 && Lcoords[1] <= 1.0 && Lcoords[1] >= -1.0 &&
424 Lcoords[1] <= 1.0,
425 "Local coordinates are not in region [-1,1]");
426
427 m_geom->FillGeom();
428
430 {
431 coords[i] = m_geom->GetCoord(i, Lcoords);
432 }
433}
#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 410 of file NodalTriExp.cpp.
413{
414 Expansion::v_GetCoords(coords_0, coords_1, coords_2);
415}
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 90 of file NodalTriExp.cpp.
91{
95 NekDouble ival;
96 Array<OneD, NekDouble> tmp(nquad0 * nquad1);
97
98 // multiply inarray with Jacobian
100 {
101 Vmath::Vmul(nquad0 * nquad1, jac, 1, inarray, 1, tmp, 1);
102 }
103 else
104 {
105 Vmath::Smul(nquad0 * nquad1, jac[0], inarray, 1, tmp, 1);
106 }
107
108 // call StdQuadExp version;
109 ival = StdNodalTriExp::v_Integral(tmp);
110 return ival;
111}
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:113
References IProductWRTBase_SumFac().
Referenced by FwdTrans(), and v_IProductWRTBase().
◆ IProductWRTBase_MatOp()
|
protected |
Definition at line 142 of file NodalTriExp.cpp.
145{
149
151 (iprodmat->GetOwnedMatrix())->GetPtr().get(), m_ncoeffs,
152 inarray.get(), 1, 0.0, outarray.get(), 1);
153}
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 113 of file NodalTriExp.cpp.
116{
120
121 if (multiplybyweights)
122 {
123 Array<OneD, NekDouble> tmp(nquad0 * nquad1 + nquad0 * order1);
124 Array<OneD, NekDouble> wsp(tmp + nquad0 * nquad1);
125
126 MultiplyByQuadratureMetric(inarray, tmp);
127 StdTriExp::IProductWRTBase_SumFacKernel(
129 NodalToModalTranspose(outarray, outarray);
130 }
131 else
132 {
133 Array<OneD, NekDouble> wsp(nquad0 * order1);
134
135 StdTriExp::IProductWRTBase_SumFacKernel(m_base[0]->GetBdata(),
136 m_base[1]->GetBdata(), inarray,
137 outarray, wsp);
138 NodalToModalTranspose(outarray, outarray);
139 }
140}
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:155
References IProductWRTDerivBase_SumFac().
Referenced by v_IProductWRTDerivBase().
◆ IProductWRTDerivBase_MatOp()
|
protected |
Definition at line 251 of file NodalTriExp.cpp.
254{
257
258 switch (dir)
259 {
260 case 0:
261 {
262 mtype = StdRegions::eIProductWRTDerivBase0;
263 }
264 break;
265 case 1:
266 {
267 mtype = StdRegions::eIProductWRTDerivBase1;
268 }
269 break;
270 case 2:
271 {
272 mtype = StdRegions::eIProductWRTDerivBase2;
273 }
274 break;
275 default:
276 {
278 }
279 break;
280 }
281
284
286 (iprodmat->GetOwnedMatrix())->GetPtr().get(), m_ncoeffs,
287 inarray.get(), 1, 0.0, outarray.get(), 1);
288}
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 155 of file NodalTriExp.cpp.
158{
161 int nqtot = nquad0 * nquad1;
163
164 Array<OneD, NekDouble> tmp0(4 * wspsize);
165 Array<OneD, NekDouble> tmp1(tmp0 + wspsize);
166 Array<OneD, NekDouble> tmp2(tmp0 + 2 * wspsize);
167 Array<OneD, NekDouble> tmp3(tmp0 + 3 * wspsize);
168
169 Array<OneD, Array<OneD, NekDouble>> tmp2D{2};
170 tmp2D[0] = tmp1;
171 tmp2D[1] = tmp2;
172
173 AlignVectorToCollapsedDir(dir, inarray, tmp2D);
174
175 MultiplyByQuadratureMetric(tmp1, tmp1);
176 MultiplyByQuadratureMetric(tmp2, tmp2);
177
179 tmp1, tmp3, tmp0);
181 tmp2, outarray, tmp0);
183
184 NodalToModalTranspose(outarray, outarray);
185}
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:199
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 297 of file NodalTriExp.cpp.
301{
304 int nqtot = nquad0 * nquad1;
305 const Array<TwoD, const NekDouble> &df =
307
308 Array<OneD, NekDouble> diff0(2 * nqtot);
309 Array<OneD, NekDouble> diff1(diff0 + nqtot);
310
311 StdNodalTriExp::v_PhysDeriv(inarray, diff0, diff1);
312
314 {
315 if (out_d0.size())
316 {
317 Vmath::Vmul(nqtot, df[0], 1, diff0, 1, out_d0, 1);
318 Vmath::Vvtvp(nqtot, df[1], 1, diff1, 1, out_d0, 1, out_d0, 1);
319 }
320
321 if (out_d1.size())
322 {
323 Vmath::Vmul(nqtot, df[2], 1, diff0, 1, out_d1, 1);
324 Vmath::Vvtvp(nqtot, df[3], 1, diff1, 1, out_d1, 1, out_d1, 1);
325 }
326
327 if (out_d2.size())
328 {
329 Vmath::Vmul(nqtot, df[4], 1, diff0, 1, out_d2, 1);
330 Vmath::Vvtvp(nqtot, df[5], 1, diff1, 1, out_d2, 1, out_d2, 1);
331 }
332 }
333 else // regular geometry
334 {
335 if (out_d0.size())
336 {
337 Vmath::Smul(nqtot, df[0][0], diff0, 1, out_d0, 1);
338 Blas::Daxpy(nqtot, df[1][0], diff1, 1, out_d0, 1);
339 }
340
341 if (out_d1.size())
342 {
343 Vmath::Smul(nqtot, df[2][0], diff0, 1, out_d1, 1);
344 Blas::Daxpy(nqtot, df[3][0], diff1, 1, out_d1, 1);
345 }
346
347 if (out_d2.size())
348 {
349 Vmath::Smul(nqtot, df[4][0], diff0, 1, out_d2, 1);
350 Blas::Daxpy(nqtot, df[5][0], diff1, 1, out_d2, 1);
351 }
352 }
353}
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 447 of file NodalTriExp.cpp.
451{
452 Array<OneD, NekDouble> Lcoord = Array<OneD, NekDouble>(2);
453
455 m_geom->GetLocCoords(coord, Lcoord);
456
457 return StdExpansion2D::v_PhysEvaluate(Lcoord, physvals);
458}
References ASSERTL0, and Nektar::LocalRegions::Expansion::m_geom.
Referenced by v_PhysEvaluate().
◆ v_AlignVectorToCollapsedDir()
|
overrideprivatevirtual |
Reimplemented from Nektar::LocalRegions::Expansion.
Definition at line 187 of file NodalTriExp.cpp.
190{
193 "Invalid direction.");
194
197 int nqtot = nquad0 * nquad1;
199
200 const Array<TwoD, const NekDouble> &df =
202
203 Array<OneD, NekDouble> tmp0(4 * wspsize);
204 Array<OneD, NekDouble> tmp3(tmp0 + wspsize);
205 Array<OneD, NekDouble> gfac0(tmp0 + 2 * wspsize);
206 Array<OneD, NekDouble> gfac1(tmp0 + 3 * wspsize);
207
208 Array<OneD, NekDouble> tmp1 = outarray[0];
209 Array<OneD, NekDouble> tmp2 = outarray[1];
210
213
214 // set up geometric factor: 2/(1-z1)
215 for (int i = 0; i < nquad1; ++i)
216 {
217 gfac0[i] = 2.0 / (1 - z1[i]);
218 }
219 for (int i = 0; i < nquad0; ++i)
220 {
221 gfac1[i] = 0.5 * (1 + z0[i]);
222 }
223
224 for (int i = 0; i < nquad1; ++i)
225 {
226 Vmath::Smul(nquad0, gfac0[i], &inarray[0] + i * nquad0, 1,
227 &tmp0[0] + i * nquad0, 1);
228 }
229
230 for (int i = 0; i < nquad1; ++i)
231 {
232 Vmath::Vmul(nquad0, &gfac1[0], 1, &tmp0[0] + i * nquad0, 1,
233 &tmp1[0] + i * nquad0, 1);
234 }
235
237 {
238 Vmath::Vmul(nqtot, &df[2 * dir][0], 1, &tmp0[0], 1, &tmp0[0], 1);
239 Vmath::Vmul(nqtot, &df[2 * dir + 1][0], 1, &tmp1[0], 1, &tmp1[0], 1);
240 Vmath::Vmul(nqtot, &df[2 * dir + 1][0], 1, &inarray[0], 1, &tmp2[0], 1);
241 }
242 else
243 {
244 Vmath::Smul(nqtot, df[2 * dir][0], tmp0, 1, tmp0, 1);
245 Vmath::Smul(nqtot, df[2 * dir + 1][0], tmp1, 1, tmp1, 1);
246 Vmath::Smul(nqtot, df[2 * dir + 1][0], inarray, 1, tmp2, 1);
247 }
248 Vmath::Vadd(nqtot, tmp0, 1, tmp1, 1, tmp1, 1);
249}
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 511 of file NodalTriExp.cpp.
512{
513 int i;
515 GetGeom()->GetMetricInfo();
517
519 const Array<TwoD, const NekDouble> &df =
520 geomFactors->GetDerivFactors(ptsKeys);
521 const Array<OneD, const NekDouble> &jac = geomFactors->GetJac(ptsKeys);
524
525 m_traceNormals[edge] = Array<OneD, Array<OneD, NekDouble>>(dim);
526 Array<OneD, Array<OneD, NekDouble>> &normal = m_traceNormals[edge];
527 for (i = 0; i < dim; ++i)
528 {
529 normal[i] = Array<OneD, NekDouble>(nqe);
530 }
531
532 size_t nqb = nqe;
533 size_t nbnd = edge;
534 m_elmtBndNormDirElmtLen[nbnd] = Array<OneD, NekDouble>{nqb, 0.0};
535 Array<OneD, NekDouble> &length = m_elmtBndNormDirElmtLen[nbnd];
536
537 // Regular geometry case
539 (type == SpatialDomains::eMovingRegular))
540 {
541 NekDouble fac;
542 // Set up normals
543 switch (edge)
544 {
545 case 0:
547 {
548 Vmath::Fill(nqe, -df[2 * i + 1][0], normal[i], 1);
549 }
550 break;
551 case 1:
553 {
554 Vmath::Fill(nqe, df[2 * i + 1][0] + df[2 * i][0], normal[i],
555 1);
556 }
557 break;
558 case 2:
560 {
561 Vmath::Fill(nqe, -df[2 * i][0], normal[i], 1);
562 }
563 break;
564 default:
566 }
567
568 // normalise
569 fac = 0.0;
571 {
572 fac += normal[i][0] * normal[i][0];
573 }
574 fac = 1.0 / sqrt(fac);
575
576 Vmath::Fill(nqb, fac, length, 1);
577
579 {
580 Vmath::Smul(nqe, fac, normal[i], 1, normal[i], 1);
581 }
582 }
583 else // Set up deformed normals
584 {
585 int j;
586
587 int nquad0 = ptsKeys[0].GetNumPoints();
588 int nquad1 = ptsKeys[1].GetNumPoints();
589
590 LibUtilities::PointsKey from_key;
591
592 Array<OneD, NekDouble> normals(GetCoordim() * max(nquad0, nquad1), 0.0);
593 Array<OneD, NekDouble> edgejac(GetCoordim() * max(nquad0, nquad1), 0.0);
594
595 // Extract Jacobian along edges and recover local
596 // derivates (dx/dr) for polynomial interpolation by
597 // multiplying m_gmat by jacobian
598 switch (edge)
599 {
600 case 0:
601 for (j = 0; j < nquad0; ++j)
602 {
603 edgejac[j] = jac[j];
605 {
606 normals[i * nquad0 + j] =
607 -df[2 * i + 1][j] * edgejac[j];
608 }
609 }
610 from_key = ptsKeys[0];
611 break;
612 case 1:
613 for (j = 0; j < nquad1; ++j)
614 {
615 edgejac[j] = jac[nquad0 * j + nquad0 - 1];
617 {
618 normals[i * nquad1 + j] =
619 (df[2 * i][nquad0 * j + nquad0 - 1] +
620 df[2 * i + 1][nquad0 * j + nquad0 - 1]) *
621 edgejac[j];
622 }
623 }
624 from_key = ptsKeys[1];
625 break;
626 case 2:
627 for (j = 0; j < nquad1; ++j)
628 {
629 edgejac[j] = jac[nquad0 * j];
631 {
632 normals[i * nquad1 + j] =
633 -df[2 * i][nquad0 * j] * edgejac[j];
634 }
635 }
636 from_key = ptsKeys[1];
637 break;
638 default:
640 }
641
642 int nq = from_key.GetNumPoints();
643 Array<OneD, NekDouble> work(nqe, 0.0);
644
645 // interpolate Jacobian and invert
647 Vmath::Sdiv(nq, 1.0, &work[0], 1, &work[0], 1);
648
649 // interpolate
651 {
652 LibUtilities::Interp1D(from_key, &normals[i * nq],
653 m_base[0]->GetPointsKey(), &normal[i][0]);
654 Vmath::Vmul(nqe, work, 1, normal[i], 1, normal[i], 1);
655 }
656
657 // normalise normal vectors
658 Vmath::Zero(nqe, work, 1);
660 {
661 Vmath::Vvtvp(nqe, normal[i], 1, normal[i], 1, work, 1, work, 1);
662 }
663
664 Vmath::Vsqrt(nqe, work, 1, work, 1);
665 Vmath::Sdiv(nqe, 1.0, work, 1, work, 1);
666
667 Vmath::Vcopy(nqb, work, 1, length, 1);
668
670 {
671 Vmath::Vmul(nqe, normal[i], 1, work, 1, normal[i], 1);
672 }
673
674 // Reverse direction so that points are in
675 // anticlockwise direction if edge >=2
676 if (edge >= 2)
677 {
679 {
680 Vmath::Reverse(nqe, normal[i], 1, normal[i], 1);
681 }
682 }
683 }
684}
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:435
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:368
References FwdTrans().
◆ v_GenMatrix()
|
overrideprotectedvirtual |
Reimplemented from Nektar::StdRegions::StdNodalTriExp.
Definition at line 490 of file NodalTriExp.cpp.
491{
492 DNekMatSharedPtr returnval;
493
494 switch (mkey.GetMatrixType())
495 {
502 returnval = Expansion2D::v_GenMatrix(mkey);
503 break;
504 default:
505 returnval = StdNodalTriExp::v_GenMatrix(mkey);
506 break;
507 }
508 return returnval;
509}
DNekMatSharedPtr v_GenMatrix(const StdRegions::StdMatrixKey &mkey) override
Definition: Expansion2D.cpp:1256
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:418
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:410
References GetCoords().
◆ v_GetLinStdExp()
|
overrideprotectedvirtual |
Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 479 of file NodalTriExp.cpp.
480{
482 m_base[0]->GetPointsKey());
484 m_base[1]->GetPointsKey());
485
488}
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 471 of file NodalTriExp.cpp.
472{
473
477}
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:90
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:297
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:447
References PhysEvaluate().
◆ v_PhysEvaluate() [2/2]
|
finalvirtual |
Reimplemented from Nektar::StdRegions::StdExpansion2D.
Definition at line 460 of file NodalTriExp.cpp.
464{
465 Array<OneD, NekDouble> Lcoord(2);
467 m_geom->GetLocCoords(coord, Lcoord);
468 return StdExpansion2D::v_PhysEvaluate(Lcoord, inarray, firstOrderDerivs);
469}
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().
