This class is the abstraction of a global continuous two- dimensional spectral/hp element expansion which approximates the solution of a set of partial differential equations. More...
#include <ContField.h>
Public Member Functions | |
| ContField () | |
| The default constructor. More... | |
| ContField (const LibUtilities::SessionReaderSharedPtr &pSession, const SpatialDomains::MeshGraphSharedPtr &graph2D, const std::string &variable="DefaultVar", const bool DeclareCoeffPhysArrays=true, const bool CheckIfSingularSystem=false, const Collections::ImplementationType ImpType=Collections::eNoImpType) | |
| This constructor sets up global continuous field based on an input mesh and boundary conditions. More... | |
| ContField (const ContField &In, const SpatialDomains::MeshGraphSharedPtr &graph2D, const std::string &variable, const bool DeclareCoeffPhysArrays=true, const bool CheckIfSingularSystem=false) | |
| Construct a global continuous field with solution type based on another field but using a separate input mesh and boundary conditions. More... | |
| ContField (const ContField &In, bool DeclareCoeffPhysArrays=true) | |
| The copy constructor. More... | |
| ContField (const LibUtilities::SessionReaderSharedPtr &pSession, const ExpList &In) | |
| Copy constructor. More... | |
| ~ContField () override | |
| The default destructor. More... | |
| void | Assemble () |
| Assembles the global coefficients \(\boldsymbol{\hat{u}}_g\) from the local coefficients \(\boldsymbol{\hat{u}}_l\). More... | |
| void | Assemble (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) const |
| Assembles the global coefficients \(\boldsymbol{\hat{u}}_g\) from the local coefficients \(\boldsymbol{\hat{u}}_l\). More... | |
| const AssemblyMapCGSharedPtr & | GetLocalToGlobalMap () const |
| Returns the map from local to global level. More... | |
| void | LaplaceSolve (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const Array< OneD, const NekDouble > &dirForcing=NullNekDouble1DArray, const Array< OneD, Array< OneD, NekDouble > > &variablecoeffs=NullNekDoubleArrayOfArray, NekDouble time=0.0) |
| Solves the two-dimensional Laplace equation, subject to the boundary conditions specified. More... | |
| void | LinearAdvectionEigs (const NekDouble ax, const NekDouble ay, Array< OneD, NekDouble > &Real, Array< OneD, NekDouble > &Imag, Array< OneD, NekDouble > &Evecs=NullNekDouble1DArray) |
| Compute the eigenvalues of the linear advection operator. More... | |
| int | GetGlobalMatrixNnz (const GlobalMatrixKey &gkey) |
| void | GlobalSolve (const GlobalLinSysKey &key, const Array< OneD, const NekDouble > &rhs, Array< OneD, NekDouble > &inout, const Array< OneD, const NekDouble > &dirForcing=NullNekDouble1DArray) |
| Solves the linear system specified by the key key. More... | |
| const GJPStabilisationSharedPtr | GetGJPForcing () |
| void | SetGJPForcing (const GJPStabilisationSharedPtr &GJPData) |
 Public Member Functions inherited from Nektar::MultiRegions::DisContField | |
| DisContField () | |
| Default constructor. More... | |
| DisContField (const LibUtilities::SessionReaderSharedPtr &pSession, const SpatialDomains::MeshGraphSharedPtr &graph, const std::string &variable, const bool SetUpJustDG=true, const bool DeclareCoeffPhysArrays=true, const Collections::ImplementationType ImpType=Collections::eNoImpType, const std::string bcvariable="NotSet") | |
| Constructs a 1D discontinuous field based on a mesh and boundary conditions. More... | |
| DisContField (const LibUtilities::SessionReaderSharedPtr &pSession, const SpatialDomains::MeshGraphSharedPtr &graph1D, const SpatialDomains::CompositeMap &domain, const SpatialDomains::BoundaryConditions &Allbcs, const std::string &variable, const LibUtilities::CommSharedPtr &comm, bool SetToOneSpaceDimensions=false, const Collections::ImplementationType ImpType=Collections::eNoImpType) | |
| Constructor for a DisContField from a List of subdomains New Constructor for arterial network. More... | |
| DisContField (const DisContField &In, const bool DeclareCoeffPhysArrays=true) | |
| Constructs a 1D discontinuous field based on an existing field. More... | |
| DisContField (const DisContField &In, const SpatialDomains::MeshGraphSharedPtr &graph, const std::string &variable, const bool SetUpJustDG=false, const bool DeclareCoeffPhysArrays=true) | |
| DisContField (const ExpList &In) | |
| Constructs a 1D discontinuous field based on an existing field. (needed in order to use ContField(
const ExpList &In) constructor. More... | |
| ~DisContField () override | |
| Destructor. More... | |
| GlobalLinSysSharedPtr | GetGlobalBndLinSys (const GlobalLinSysKey &mkey) |
| For a given key, returns the associated global linear system. More... | |
| bool | SameTypeOfBoundaryConditions (const DisContField &In) |
| Check to see if expansion has the same BCs as In. More... | |
| std::vector< bool > & | GetNegatedFluxNormal (void) |
| NekDouble | L2_DGDeriv (const int dir, const Array< OneD, const NekDouble > &coeffs, const Array< OneD, const NekDouble > &soln) |
| Calculate the \( L^2 \) error of the \( Q_{\rm dir} \) derivative using the consistent DG evaluation of \( Q_{\rm dir} \). More... | |
| void | EvaluateHDGPostProcessing (const Array< OneD, const NekDouble > &coeffs, Array< OneD, NekDouble > &outarray) |
| Evaluate HDG post-processing to increase polynomial order of solution. More... | |
| void | GetLocTraceToTraceMap (LocTraceToTraceMapSharedPtr &LocTraceToTraceMap) |
| void | GetFwdBwdTracePhys (const Array< OneD, const NekDouble > &field, Array< OneD, NekDouble > &Fwd, Array< OneD, NekDouble > &Bwd, const Array< OneD, const SpatialDomains::BoundaryConditionShPtr > &bndCond, const Array< OneD, const ExpListSharedPtr > &BndCondExp) |
| This method extracts the "forward" and "backward" trace data from the array field and puts the data into output vectors Fwd and Bwd. More... | |
| Public Member Functions inherited from Nektar::MultiRegions::ExpList | |
| ExpList (const ExpansionType Type=eNoType) | |
| The default constructor using a type. More... | |
| ExpList (const ExpList &in, const bool DeclareCoeffPhysArrays=true) | |
| The copy constructor. More... | |
| ExpList (const ExpList &in, const std::vector< unsigned int > &eIDs, const bool DeclareCoeffPhysArrays=true, const Collections::ImplementationType ImpType=Collections::eNoImpType) | |
| Constructor copying only elements defined in eIds. More... | |
| ExpList (const LibUtilities::SessionReaderSharedPtr &pSession, const SpatialDomains::MeshGraphSharedPtr &graph, const bool DeclareCoeffPhysArrays=true, const std::string &var="DefaultVar", const Collections::ImplementationType ImpType=Collections::eNoImpType) | |
| Generate an ExpList from a meshgraph graph and session file. More... | |
| ExpList (const LibUtilities::SessionReaderSharedPtr &pSession, const SpatialDomains::ExpansionInfoMap &expansions, const bool DeclareCoeffPhysArrays=true, const Collections::ImplementationType ImpType=Collections::eNoImpType) | |
| Sets up a list of local expansions based on an expansion Map. More... | |
| ExpList (const SpatialDomains::PointGeomSharedPtr &geom) | |
| Specialised constructors for 0D Expansions Wrapper around LocalRegion::PointExp - used in PrePacing.cpp. More... | |
| ExpList (const LibUtilities::SessionReaderSharedPtr &pSession, const Array< OneD, const ExpListSharedPtr > &bndConstraint, const Array< OneD, const SpatialDomains ::BoundaryConditionShPtr > &bndCond, const LocalRegions::ExpansionVector &locexp, const SpatialDomains::MeshGraphSharedPtr &graph, const LibUtilities::CommSharedPtr &comm, const bool DeclareCoeffPhysArrays=true, const std::string variable="DefaultVar", const Collections::ImplementationType ImpType=Collections::eNoImpType) | |
| Generate expansions for the trace space expansions used in DisContField. More... | |
| ExpList (const LibUtilities::SessionReaderSharedPtr &pSession, const LocalRegions::ExpansionVector &locexp, const SpatialDomains::MeshGraphSharedPtr &graph, const bool DeclareCoeffPhysArrays, const std::string variable, const Collections::ImplementationType ImpType=Collections::eNoImpType) | |
| Generate an trace ExpList from a meshgraph graph and session file. More... | |
| ExpList (const LibUtilities::SessionReaderSharedPtr &pSession, const SpatialDomains::CompositeMap &domain, const SpatialDomains::MeshGraphSharedPtr &graph, const bool DeclareCoeffPhysArrays=true, const std::string variable="DefaultVar", bool SetToOneSpaceDimension=false, const LibUtilities::CommSharedPtr comm=LibUtilities::CommSharedPtr(), const Collections::ImplementationType ImpType=Collections::eNoImpType) | |
| Constructor based on domain information only for 1D & 2D boundary conditions. More... | |
| virtual | ~ExpList () |
| The default destructor. More... | |
| int | GetNcoeffs (void) const |
| Returns the total number of local degrees of freedom \(N_{\mathrm{eof}}=\sum_{e=1}^{{N_{\mathrm{el}}}}N^{e}_m\). More... | |
| int | GetNcoeffs (const int eid) const |
| Returns the total number of local degrees of freedom for element eid. More... | |
| ExpansionType | GetExpType (void) |
| Returns the type of the expansion. More... | |
| void | SetExpType (ExpansionType Type) |
| Returns the type of the expansion. More... | |
| int | EvalBasisNumModesMax (void) const |
| Evaulates the maximum number of modes in the elemental basis order over all elements. More... | |
| const Array< OneD, int > | EvalBasisNumModesMaxPerExp (void) const |
| Returns the vector of the number of modes in the elemental basis order over all elements. More... | |
| int | GetTotPoints (void) const |
| Returns the total number of quadrature points m_npoints \(=Q_{\mathrm{tot}}\). More... | |
| int | GetTotPoints (const int eid) const |
| Returns the total number of quadrature points for eid's element \(=Q_{\mathrm{tot}}\). More... | |
| int | GetNpoints (void) const |
| Returns the total number of quadrature points m_npoints \(=Q_{\mathrm{tot}}\). More... | |
| int | Get1DScaledTotPoints (const NekDouble scale) const |
| Returns the total number of qudature points scaled by the factor scale on each 1D direction. More... | |
| void | SetWaveSpace (const bool wavespace) |
| Sets the wave space to the one of the possible configuration true or false. More... | |
| void | SetModifiedBasis (const bool modbasis) |
| Set Modified Basis for the stability analysis. More... | |
| bool | GetWaveSpace (void) const |
| This function returns the third direction expansion condition, which can be in wave space (coefficient) or not It is stored in the variable m_WaveSpace. More... | |
| void | SetPhys (int i, NekDouble val) |
| Set the i th value of m_phys to value val. More... | |
| void | SetPhys (const Array< OneD, const NekDouble > &inarray) |
| Fills the array m_phys. More... | |
| void | SetPhysArray (Array< OneD, NekDouble > &inarray) |
| Sets the array m_phys. More... | |
| void | SetPhysState (const bool physState) |
| This function manually sets whether the array of physical values \(\boldsymbol{u}_l\) (implemented as m_phys) is filled or not. More... | |
| bool | GetPhysState (void) const |
| This function indicates whether the array of physical values \(\boldsymbol{u}_l\) (implemented as m_phys) is filled or not. More... | |
| void | MultiplyByQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
| multiply the metric jacobi and quadrature weights More... | |
| void | DivideByQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
| Divided by the metric jacobi and quadrature weights. More... | |
| void | IProductWRTBase (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
| This function calculates the inner product of a function \(f(\boldsymbol{x})\) with respect to all local expansion modes \(\phi_n^e(\boldsymbol{x})\). More... | |
| void | IProductWRTDerivBase (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
| This function calculates the inner product of a function \(f(\boldsymbol{x})\) with respect to the derivative (in direction. More... | |
| void | IProductWRTDirectionalDerivBase (const Array< OneD, const NekDouble > &direction, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
| Directional derivative along a given direction. More... | |
| void | IProductWRTDerivBase (const Array< OneD, const Array< OneD, NekDouble > > &inarray, Array< OneD, NekDouble > &outarray) |
| This function calculates the inner product of a function \(f(\boldsymbol{x})\) with respect to the derivative of all local expansion modes \(\phi_n^e(\boldsymbol{x})\). More... | |
| void | FwdTransLocalElmt (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
| This function elementally evaluates the forward transformation of a function \(u(\boldsymbol{x})\) onto the global spectral/hp expansion. More... | |
| void | FwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
| void | ExponentialFilter (Array< OneD, NekDouble > &array, const NekDouble alpha, const NekDouble exponent, const NekDouble cutoff) |
| void | MultiplyByElmtInvMass (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
| This function elementally mulplies the coefficient space of Sin my the elemental inverse of the mass matrix. More... | |
| void | MultiplyByInvMassMatrix (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
| void | MultiplyByMassMatrix (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
| void | SmoothField (Array< OneD, NekDouble > &field) |
| Smooth a field across elements. More... | |
| GlobalLinSysKey | HelmSolve (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::ConstFactorMap &factors, const StdRegions::VarCoeffMap &varcoeff=StdRegions::NullVarCoeffMap, const MultiRegions::VarFactorsMap &varfactors=MultiRegions::NullVarFactorsMap, const Array< OneD, const NekDouble > &dirForcing=NullNekDouble1DArray, const bool PhysSpaceForcing=true) |
| Solve helmholtz problem. More... | |
| GlobalLinSysKey | LinearAdvectionDiffusionReactionSolve (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::ConstFactorMap &factors, const StdRegions::VarCoeffMap &varcoeff=StdRegions::NullVarCoeffMap, const MultiRegions::VarFactorsMap &varfactors=MultiRegions::NullVarFactorsMap, const Array< OneD, const NekDouble > &dirForcing=NullNekDouble1DArray, const bool PhysSpaceForcing=true) |
| Solve Advection Diffusion Reaction. More... | |
| void | LinearAdvectionReactionSolve (const Array< OneD, Array< OneD, NekDouble > > &velocity, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const NekDouble lambda, const Array< OneD, const NekDouble > &dirForcing=NullNekDouble1DArray) |
| Solve Advection Diffusion Reaction. More... | |
| void | FwdTransBndConstrained (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
| void | BwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
| This function elementally evaluates the backward transformation of the global spectral/hp element expansion. More... | |
| void | GetCoords (Array< OneD, NekDouble > &coord_0, Array< OneD, NekDouble > &coord_1=NullNekDouble1DArray, Array< OneD, NekDouble > &coord_2=NullNekDouble1DArray) |
| This function calculates the coordinates of all the elemental quadrature points \(\boldsymbol{x}_i\). More... | |
| void | GetCoords (const int eid, Array< OneD, NekDouble > &coord_0, Array< OneD, NekDouble > &coord_1=NullNekDouble1DArray, Array< OneD, NekDouble > &coord_2=NullNekDouble1DArray) |
| void | HomogeneousFwdTrans (const int npts, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool Shuff=true, bool UnShuff=true) |
| void | HomogeneousBwdTrans (const int npts, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool Shuff=true, bool UnShuff=true) |
| void | DealiasedProd (const int num_dofs, const Array< OneD, NekDouble > &inarray1, const Array< OneD, NekDouble > &inarray2, Array< OneD, NekDouble > &outarray) |
| void | DealiasedDotProd (const int num_dofs, const Array< OneD, Array< OneD, NekDouble > > &inarray1, const Array< OneD, Array< OneD, NekDouble > > &inarray2, Array< OneD, Array< OneD, NekDouble > > &outarray) |
| void | GetBCValues (Array< OneD, NekDouble > &BndVals, const Array< OneD, NekDouble > &TotField, int BndID) |
| void | NormVectorIProductWRTBase (Array< OneD, const NekDouble > &V1, Array< OneD, const NekDouble > &V2, Array< OneD, NekDouble > &outarray, int BndID) |
| void | NormVectorIProductWRTBase (Array< OneD, Array< OneD, NekDouble > > &V, Array< OneD, NekDouble > &outarray) |
| void | ApplyGeomInfo () |
| Apply geometry information to each expansion. More... | |
| void | Reset () |
| Reset geometry information and reset matrices. More... | |
| void | WriteTecplotHeader (std::ostream &outfile, std::string var="") |
| void | WriteTecplotZone (std::ostream &outfile, int expansion=-1) |
| void | WriteTecplotField (std::ostream &outfile, int expansion=-1) |
| void | WriteTecplotConnectivity (std::ostream &outfile, int expansion=-1) |
| void | WriteVtkHeader (std::ostream &outfile) |
| void | WriteVtkFooter (std::ostream &outfile) |
| void | WriteVtkPieceHeader (std::ostream &outfile, int expansion, int istrip=0) |
| void | WriteVtkPieceFooter (std::ostream &outfile, int expansion) |
| void | WriteVtkPieceData (std::ostream &outfile, int expansion, std::string var="v") |
| int | GetCoordim (int eid) |
| This function returns the dimension of the coordinates of the element eid. More... | |
| void | SetCoeff (int i, NekDouble val) |
| Set the i th coefficiient in m_coeffs to value val. More... | |
| void | SetCoeffs (int i, NekDouble val) |
| Set the i th coefficiient in m_coeffs to value val. More... | |
| void | SetCoeffsArray (Array< OneD, NekDouble > &inarray) |
| Set the m_coeffs array to inarray. More... | |
| int | GetShapeDimension () |
| This function returns the dimension of the shape of the element eid. More... | |
| const Array< OneD, const NekDouble > & | GetCoeffs () const |
| This function returns (a reference to) the array \(\boldsymbol{\hat{u}}_l\) (implemented as m_coeffs) containing all local expansion coefficients. More... | |
| void | ImposeDirichletConditions (Array< OneD, NekDouble > &outarray) |
| Impose Dirichlet Boundary Conditions onto Array. More... | |
| void | FillBndCondFromField (const Array< OneD, NekDouble > coeffs) |
| Fill Bnd Condition expansion from the values stored in expansion. More... | |
| void | FillBndCondFromField (const int nreg, const Array< OneD, NekDouble > coeffs) |
| Fill Bnd Condition expansion in nreg from the values stored in expansion. More... | |
| void | LocalToGlobal (bool useComm=true) |
| Gathers the global coefficients \(\boldsymbol{\hat{u}}_g\) from the local coefficients \(\boldsymbol{\hat{u}}_l\). More... | |
| void | LocalToGlobal (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool useComm=true) |
| void | GlobalToLocal (void) |
| Scatters from the global coefficients \(\boldsymbol{\hat{u}}_g\) to the local coefficients \(\boldsymbol{\hat{u}}_l\). More... | |
| void | GlobalToLocal (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
| NekDouble | GetCoeff (int i) |
| Get the i th value (coefficient) of m_coeffs. More... | |
| NekDouble | GetCoeffs (int i) |
| Get the i th value (coefficient) of m_coeffs. More... | |
| const Array< OneD, const NekDouble > & | GetPhys () const |
| This function returns (a reference to) the array \(\boldsymbol{u}_l\) (implemented as m_phys) containing the function \(u^{\delta}(\boldsymbol{x})\) evaluated at the quadrature points. More... | |
| NekDouble | Linf (const Array< OneD, const NekDouble > &inarray, const Array< OneD, const NekDouble > &soln=NullNekDouble1DArray) |
| This function calculates the \(L_\infty\) error of the global spectral/hp element approximation. More... | |
| NekDouble | L2 (const Array< OneD, const NekDouble > &inarray, const Array< OneD, const NekDouble > &soln=NullNekDouble1DArray) |
| This function calculates the \(L_\infty\) error of the global This function calculates the \(L_2\) error with respect to soln of the global spectral/hp element approximation. More... | |
| NekDouble | H1 (const Array< OneD, const NekDouble > &inarray, const Array< OneD, const NekDouble > &soln=NullNekDouble1DArray) |
| Calculates the \(H^1\) error of the global spectral/hp element approximation. More... | |
| NekDouble | Integral () |
| Calculates the \(H^1\) error of the global spectral/hp element approximation. More... | |
| NekDouble | Integral (const Array< OneD, const NekDouble > &inarray) |
| NekDouble | VectorFlux (const Array< OneD, Array< OneD, NekDouble > > &inarray) |
| Array< OneD, const NekDouble > | HomogeneousEnergy (void) |
| This function calculates the energy associated with each one of the modesof a 3D homogeneous nD expansion. More... | |
| void | SetHomo1DSpecVanVisc (Array< OneD, NekDouble > visc) |
| This function sets the Spectral Vanishing Viscosity in homogeneous1D expansion. More... | |
| Array< OneD, const unsigned int > | GetZIDs (void) |
| This function returns a vector containing the wave numbers in z-direction associated with the 3D homogenous expansion. Required if a parellelisation is applied in the Fourier direction. More... | |
| LibUtilities::TranspositionSharedPtr | GetTransposition (void) |
| This function returns the transposition class associated with the homogeneous expansion. More... | |
| NekDouble | GetHomoLen (void) |
| This function returns the Width of homogeneous direction associated with the homogeneous expansion. More... | |
| void | SetHomoLen (const NekDouble lhom) |
| This function sets the Width of homogeneous direction associated with the homogeneous expansion. More... | |
| Array< OneD, const unsigned int > | GetYIDs (void) |
| This function returns a vector containing the wave numbers in y-direction associated with the 3D homogenous expansion. Required if a parellelisation is applied in the Fourier direction. More... | |
| void | PhysInterp1DScaled (const NekDouble scale, const Array< OneD, NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
| This function interpolates the physical space points in inarray to outarray using the same points defined in the expansion but where the number of points are rescaled by 1DScale. More... | |
| void | PhysGalerkinProjection1DScaled (const NekDouble scale, const Array< OneD, NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
| This function Galerkin projects the physical space points in inarray to outarray where inarray is assumed to be defined in the expansion but where the number of points are rescaled by 1DScale. More... | |
| int | GetExpSize (void) |
| This function returns the number of elements in the expansion. More... | |
| size_t | GetNumElmts (void) |
| This function returns the number of elements in the expansion which may be different for a homogeoenous extended expansionp. More... | |
| const std::shared_ptr< LocalRegions::ExpansionVector > | GetExp () const |
| This function returns the vector of elements in the expansion. More... | |
| LocalRegions::ExpansionSharedPtr & | GetExp (int n) const |
| This function returns (a shared pointer to) the local elemental expansion of the \(n^{\mathrm{th}}\) element. More... | |
| LocalRegions::ExpansionSharedPtr & | GetExpFromGeomId (int n) |
| This function returns (a shared pointer to) the local elemental expansion of the \(n^{\mathrm{th}}\) element given a global geometry ID. More... | |
| LocalRegions::ExpansionSharedPtr & | GetExp (const Array< OneD, const NekDouble > &gloCoord) |
| This function returns (a shared pointer to) the local elemental expansion containing the arbitrary point given by gloCoord. More... | |
| int | GetExpIndex (const Array< OneD, const NekDouble > &gloCoord, NekDouble tol=0.0, bool returnNearestElmt=false, int cachedId=-1, NekDouble maxDistance=1e6) |
| This function returns the index of the local elemental expansion containing the arbitrary point given by gloCoord, within a distance tolerance of tol. More... | |
| int | GetExpIndex (const Array< OneD, const NekDouble > &gloCoords, Array< OneD, NekDouble > &locCoords, NekDouble tol=0.0, bool returnNearestElmt=false, int cachedId=-1, NekDouble maxDistance=1e6) |
| NekDouble | PhysEvaluate (const Array< OneD, const NekDouble > &coords, const Array< OneD, const NekDouble > &phys) |
| int | GetCoeff_Offset (int n) const |
| Get the start offset position for a local contiguous list of coeffs correspoinding to element n. More... | |
| int | GetPhys_Offset (int n) const |
| Get the start offset position for a local contiguous list of quadrature points in a full array correspoinding to element n. More... | |
| Array< OneD, NekDouble > & | UpdateCoeffs () |
| This function returns (a reference to) the array \(\boldsymbol{\hat{u}}_l\) (implemented as m_coeffs) containing all local expansion coefficients. More... | |
| Array< OneD, NekDouble > & | UpdatePhys () |
| This function returns (a reference to) the array \(\boldsymbol{u}_l\) (implemented as m_phys) containing the function \(u^{\delta}(\boldsymbol{x})\) evaluated at the quadrature points. More... | |
| void | PhysDeriv (Direction edir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d) |
| 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) |
| This function discretely evaluates the derivative of a function \(f(\boldsymbol{x})\) on the domain consisting of all elements of the expansion. More... | |
| void | PhysDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d) |
| void | Curl (Array< OneD, Array< OneD, NekDouble > > &Vel, Array< OneD, Array< OneD, NekDouble > > &Q) |
| void | CurlCurl (Array< OneD, Array< OneD, NekDouble > > &Vel, Array< OneD, Array< OneD, NekDouble > > &Q) |
| void | PhysDirectionalDeriv (const Array< OneD, const NekDouble > &direction, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
| void | GetMovingFrames (const SpatialDomains::GeomMMF MMFdir, const Array< OneD, const NekDouble > &CircCentre, Array< OneD, Array< OneD, NekDouble > > &outarray) |
| const Array< OneD, const std::shared_ptr< ExpList > > & | GetBndCondExpansions () |
| const Array< OneD, const NekDouble > & | GetBndCondBwdWeight () |
| Get the weight value for boundary conditions. More... | |
| void | SetBndCondBwdWeight (const int index, const NekDouble value) |
| Set the weight value for boundary conditions. More... | |
| std::shared_ptr< ExpList > & | UpdateBndCondExpansion (int i) |
| void | Upwind (const Array< OneD, const NekDouble > &Vn, const Array< OneD, const NekDouble > &Fwd, const Array< OneD, const NekDouble > &Bwd, Array< OneD, NekDouble > &Upwind) |
| void | Upwind (const Array< OneD, const Array< OneD, NekDouble > > &Vec, const Array< OneD, const NekDouble > &Fwd, const Array< OneD, const NekDouble > &Bwd, Array< OneD, NekDouble > &Upwind) |
| std::shared_ptr< ExpList > & | GetTrace () |
| std::shared_ptr< AssemblyMapDG > & | GetTraceMap (void) |
| const Array< OneD, const int > & | GetTraceBndMap (void) |
| void | GetNormals (Array< OneD, Array< OneD, NekDouble > > &normals) |
| void | GetElmtNormalLength (Array< OneD, NekDouble > &lengthsFwd, Array< OneD, NekDouble > &lengthsBwd) |
| Get the length of elements in boundary normal direction. More... | |
| void | GetBwdWeight (Array< OneD, NekDouble > &weightAver, Array< OneD, NekDouble > &weightJump) |
| Get the weight value for boundary conditions for boundary average and jump calculations. More... | |
| void | AddTraceIntegral (const Array< OneD, const NekDouble > &Fn, Array< OneD, NekDouble > &outarray) |
| void | AddFwdBwdTraceIntegral (const Array< OneD, const NekDouble > &Fwd, const Array< OneD, const NekDouble > &Bwd, Array< OneD, NekDouble > &outarray) |
| void | GetFwdBwdTracePhys (Array< OneD, NekDouble > &Fwd, Array< OneD, NekDouble > &Bwd) |
| void | GetFwdBwdTracePhys (const Array< OneD, const NekDouble > &field, Array< OneD, NekDouble > &Fwd, Array< OneD, NekDouble > &Bwd, bool FillBnd=true, bool PutFwdInBwdOnBCs=false, bool DoExchange=true) |
| void | FillBwdWithBoundCond (const Array< OneD, NekDouble > &Fwd, Array< OneD, NekDouble > &Bwd, bool PutFwdInBwdOnBCs=false) |
| void | AddTraceQuadPhysToField (const Array< OneD, const NekDouble > &Fwd, const Array< OneD, const NekDouble > &Bwd, Array< OneD, NekDouble > &field) |
| Add Fwd and Bwd value to field, a reverse procedure of GetFwdBwdTracePhys. More... | |
| void | AddTraceQuadPhysToOffDiag (const Array< OneD, const NekDouble > &Fwd, const Array< OneD, const NekDouble > &Bwd, Array< OneD, NekDouble > &field) |
| void | GetLocTraceFromTracePts (const Array< OneD, const NekDouble > &Fwd, const Array< OneD, const NekDouble > &Bwd, Array< OneD, NekDouble > &locTraceFwd, Array< OneD, NekDouble > &locTraceBwd) |
| void | FillBwdWithBwdWeight (Array< OneD, NekDouble > &weightave, Array< OneD, NekDouble > &weightjmp) |
| Fill Bwd with boundary conditions. More... | |
| void | PeriodicBwdCopy (const Array< OneD, const NekDouble > &Fwd, Array< OneD, NekDouble > &Bwd) |
| Copy and fill the Periodic boundaries. More... | |
| const std::vector< bool > & | GetLeftAdjacentFaces (void) const |
| void | ExtractTracePhys (Array< OneD, NekDouble > &outarray) |
| void | ExtractTracePhys (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
| const Array< OneD, const SpatialDomains::BoundaryConditionShPtr > & | GetBndConditions () |
| Array< OneD, SpatialDomains::BoundaryConditionShPtr > & | UpdateBndConditions () |
| void | EvaluateBoundaryConditions (const NekDouble time=0.0, const std::string varName="", const NekDouble=NekConstants::kNekUnsetDouble, const NekDouble=NekConstants::kNekUnsetDouble) |
| void | GeneralMatrixOp (const GlobalMatrixKey &gkey, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
| This function calculates the result of the multiplication of a matrix of type specified by mkey with a vector given by inarray. More... | |
| void | SetUpPhysNormals () |
| void | GetBoundaryToElmtMap (Array< OneD, int > &ElmtID, Array< OneD, int > &EdgeID) |
| virtual void | GetBndElmtExpansion (int i, std::shared_ptr< ExpList > &result, const bool DeclareCoeffPhysArrays=true) |
| void | ExtractElmtToBndPhys (int i, const Array< OneD, NekDouble > &elmt, Array< OneD, NekDouble > &boundary) |
| void | ExtractPhysToBndElmt (int i, const Array< OneD, const NekDouble > &phys, Array< OneD, NekDouble > &bndElmt) |
| void | ExtractPhysToBnd (int i, const Array< OneD, const NekDouble > &phys, Array< OneD, NekDouble > &bnd) |
| void | GetBoundaryNormals (int i, Array< OneD, Array< OneD, NekDouble > > &normals) |
| void | GeneralGetFieldDefinitions (std::vector< LibUtilities::FieldDefinitionsSharedPtr > &fielddef, int NumHomoDir=0, Array< OneD, LibUtilities::BasisSharedPtr > &HomoBasis=LibUtilities::NullBasisSharedPtr1DArray, std::vector< NekDouble > &HomoLen=LibUtilities::NullNekDoubleVector, bool homoStrips=false, std::vector< unsigned int > &HomoSIDs=LibUtilities::NullUnsignedIntVector, std::vector< unsigned int > &HomoZIDs=LibUtilities::NullUnsignedIntVector, std::vector< unsigned int > &HomoYIDs=LibUtilities::NullUnsignedIntVector) |
| std::map< int, RobinBCInfoSharedPtr > | GetRobinBCInfo () |
| void | GetPeriodicEntities (PeriodicMap &periodicVerts, PeriodicMap &periodicEdges, PeriodicMap &periodicFaces=NullPeriodicMap) |
| std::vector< LibUtilities::FieldDefinitionsSharedPtr > | GetFieldDefinitions () |
| void | GetFieldDefinitions (std::vector< LibUtilities::FieldDefinitionsSharedPtr > &fielddef) |
| void | AppendFieldData (LibUtilities::FieldDefinitionsSharedPtr &fielddef, std::vector< NekDouble > &fielddata) |
| Append the element data listed in elements fielddef->m_ElementIDs onto fielddata. More... | |
| void | AppendFieldData (LibUtilities::FieldDefinitionsSharedPtr &fielddef, std::vector< NekDouble > &fielddata, Array< OneD, NekDouble > &coeffs) |
| Append the data in coeffs listed in elements fielddef->m_ElementIDs onto fielddata. More... | |
| void | ExtractElmtDataToCoeffs (LibUtilities::FieldDefinitionsSharedPtr &fielddef, std::vector< NekDouble > &fielddata, std::string &field, Array< OneD, NekDouble > &coeffs) |
| Extract the data in fielddata into the coeffs using the basic ExpList Elemental expansions rather than planes in homogeneous case. More... | |
| void | ExtractCoeffsToCoeffs (const std::shared_ptr< ExpList > &fromExpList, const Array< OneD, const NekDouble > &fromCoeffs, Array< OneD, NekDouble > &toCoeffs) |
| Extract the data from fromField using fromExpList the coeffs using the basic ExpList Elemental expansions rather than planes in homogeneous case. More... | |
| void | ExtractDataToCoeffs (LibUtilities::FieldDefinitionsSharedPtr &fielddef, std::vector< NekDouble > &fielddata, std::string &field, Array< OneD, NekDouble > &coeffs, std::unordered_map< int, int > zIdToPlane=std::unordered_map< int, int >()) |
| Extract the data in fielddata into the coeffs. More... | |
| void | ExtractCoeffsFromFile (const std::string &fileName, LibUtilities::CommSharedPtr comm, const std::string &varName, Array< OneD, NekDouble > &coeffs) |
| void | GenerateElementVector (const int ElementID, const NekDouble scalar1, const NekDouble scalar2, Array< OneD, NekDouble > &outarray) |
| Generate vector v such that v[i] = scalar1 if i is in the element < ElementID. Otherwise, v[i] = scalar2. More... | |
| std::shared_ptr< ExpList > | GetSharedThisPtr () |
| Returns a shared pointer to the current object. More... | |
| std::shared_ptr< LibUtilities::SessionReader > | GetSession () const |
| Returns the session object. More... | |
| std::shared_ptr< LibUtilities::Comm > | GetComm () const |
| Returns the comm object. More... | |
| SpatialDomains::MeshGraphSharedPtr | GetGraph () |
| LibUtilities::BasisSharedPtr | GetHomogeneousBasis (void) |
| std::shared_ptr< ExpList > & | GetPlane (int n) |
| void | CreateCollections (Collections::ImplementationType ImpType=Collections::eNoImpType) |
| Construct collections of elements containing a single element type and polynomial order from the list of expansions. More... | |
| void | ClearGlobalLinSysManager (void) |
| int | GetPoolCount (std::string) |
| void | UnsetGlobalLinSys (GlobalLinSysKey, bool) |
| LibUtilities::NekManager< GlobalLinSysKey, GlobalLinSys > & | GetGlobalLinSysManager (void) |
| const Array< OneD, const std::pair< int, int > > & | GetCoeffsToElmt () const |
| Get m_coeffs to elemental value map. More... | |
| void | AddTraceJacToElmtJac (const Array< OneD, const DNekMatSharedPtr > &FwdMat, const Array< OneD, const DNekMatSharedPtr > &BwdMat, Array< OneD, DNekMatSharedPtr > &fieldMat) |
| inverse process of v_GetFwdBwdTracePhys. Given Trace integration of Fwd and Bwd Jacobian, with dimension NtotalTrace*TraceCoef*TracePhys. return Elemental Jacobian matrix with dimension NtotalElement*ElementCoef*ElementPhys. More... | |
| void | GetMatIpwrtDeriveBase (const Array< OneD, const Array< OneD, NekDouble > > &inarray, const int nDirctn, Array< OneD, DNekMatSharedPtr > &mtxPerVar) |
| void | GetMatIpwrtDeriveBase (const TensorOfArray3D< NekDouble > &inarray, Array< OneD, DNekMatSharedPtr > &mtxPerVar) |
| void | GetDiagMatIpwrtBase (const Array< OneD, const Array< OneD, NekDouble > > &inarray, Array< OneD, DNekMatSharedPtr > &mtxPerVar) |
| void | AddTraceIntegralToOffDiag (const Array< OneD, const NekDouble > &FwdFlux, const Array< OneD, const NekDouble > &BwdFlux, Array< OneD, NekDouble > &outarray) |
| void | AddRightIPTPhysDerivBase (const int dir, const Array< OneD, const DNekMatSharedPtr > ElmtJacQuad, Array< OneD, DNekMatSharedPtr > ElmtJacCoef) |
| void | AddRightIPTBaseMatrix (const Array< OneD, const DNekMatSharedPtr > ElmtJacQuad, Array< OneD, DNekMatSharedPtr > ElmtJacCoef) |
| const LocTraceToTraceMapSharedPtr & | GetLocTraceToTraceMap () const |
| std::vector< bool > & | GetLeftAdjacentTraces (void) |
| const std::unordered_map< int, int > & | GetElmtToExpId (void) |
| This function returns the map of index inside m_exp to geom id. More... | |
| int | GetElmtToExpId (int elmtId) |
| This function returns the index inside m_exp for a given geom id. More... | |
Protected Member Functions | |
| GlobalMatrixSharedPtr | GetGlobalMatrix (const GlobalMatrixKey &mkey) |
| Returns the global matrix specified by mkey. More... | |
| GlobalLinSysSharedPtr | GetGlobalLinSys (const GlobalLinSysKey &mkey) |
| Returns the linear system specified by the key mkey. More... | |
| GlobalLinSysSharedPtr | GenGlobalLinSys (const GlobalLinSysKey &mkey) |
| void | v_ImposeDirichletConditions (Array< OneD, NekDouble > &outarray) override |
| Impose the Dirichlet Boundary Conditions on outarray. More... | |
| void | v_FillBndCondFromField (const Array< OneD, NekDouble > coeffs) override |
| void | v_FillBndCondFromField (const int nreg, const Array< OneD, NekDouble > coeffs) override |
| void | v_LocalToGlobal (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool useComm) override |
| Gathers the global coefficients \(\boldsymbol{\hat{u}}_g\) from the local coefficients \(\boldsymbol{\hat{u}}_l\). More... | |
| void | v_LocalToGlobal (bool useComm) override |
| void | v_GlobalToLocal (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override |
| Scatters from the global coefficients \(\boldsymbol{\hat{u}}_g\) to the local coefficients \(\boldsymbol{\hat{u}}_l\). More... | |
| void | v_GlobalToLocal (void) override |
| void | v_FwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override |
| Template method virtual forwarder for FwdTrans(). More... | |
| void | v_SmoothField (Array< OneD, NekDouble > &field) override |
| Template method virtual forwarded for SmoothField(). More... | |
| void | v_MultiplyByInvMassMatrix (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override |
| Template method virtual forwarder for MultiplyByInvMassMatrix(). More... | |
| GlobalLinSysKey | v_HelmSolve (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::ConstFactorMap &factors, const StdRegions::VarCoeffMap &varcoeff, const MultiRegions::VarFactorsMap &varfactors, const Array< OneD, const NekDouble > &dirForcing, const bool PhysSpaceForcing) override |
| Solves the two-dimensional Helmholtz equation, subject to the boundary conditions specified. More... | |
| GlobalLinSysKey | v_LinearAdvectionDiffusionReactionSolve (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::ConstFactorMap &factors, const StdRegions::VarCoeffMap &varcoeff, const MultiRegions::VarFactorsMap &varfactors, const Array< OneD, const NekDouble > &dirForcing, const bool PhysSpaceForcing) override |
| void | v_LinearAdvectionReactionSolve (const Array< OneD, Array< OneD, NekDouble > > &velocity, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const NekDouble lambda, const Array< OneD, const NekDouble > &dirForcing=NullNekDouble1DArray) override |
| const Array< OneD, const MultiRegions::ExpListSharedPtr > & | v_GetBndCondExpansions () override |
| Returns the boundary conditions expansion. More... | |
| const Array< OneD, const SpatialDomains ::BoundaryConditionShPtr > & | v_GetBndConditions () override |
| Template method virtual forwarder for GetBndConditions(). More... | |
| void | v_ClearGlobalLinSysManager (void) override |
| int | v_GetPoolCount (std::string) override |
| void | v_UnsetGlobalLinSys (GlobalLinSysKey, bool) override |
| Protected Member Functions inherited from Nektar::MultiRegions::DisContField | |
| void | GenerateBoundaryConditionExpansion (const SpatialDomains::MeshGraphSharedPtr &graph1D, const SpatialDomains::BoundaryConditions &bcs, const std::string variable, const bool DeclareCoeffPhysArrays=true) |
| Discretises the boundary conditions. More... | |
| void | FindPeriodicTraces (const SpatialDomains::BoundaryConditions &bcs, const std::string variable) |
| Generate a associative map of periodic vertices in a mesh. More... | |
| void | SetUpDG (const std::string="DefaultVar", const Collections::ImplementationType ImpType=Collections::eNoImpType) |
| Set up all DG member variables and maps. More... | |
| bool | IsLeftAdjacentTrace (const int n, const int e) |
| This routine determines if an element is to the "left" of the adjacent trace, which arises from the idea there is a local normal direction between two elements (i.e. on the trace) and one elements would then be the left. More... | |
| ExpListSharedPtr & | v_GetTrace () override |
| AssemblyMapDGSharedPtr & | v_GetTraceMap (void) override |
| const LocTraceToTraceMapSharedPtr & | v_GetLocTraceToTraceMap (void) const override |
| std::vector< bool > & | v_GetLeftAdjacentTraces (void) override |
| void | v_AddTraceIntegral (const Array< OneD, const NekDouble > &Fn, Array< OneD, NekDouble > &outarray) override |
| Add trace contributions into elemental coefficient spaces. More... | |
| void | v_AddFwdBwdTraceIntegral (const Array< OneD, const NekDouble > &Fwd, const Array< OneD, const NekDouble > &Bwd, Array< OneD, NekDouble > &outarray) override |
| Add trace contributions into elemental coefficient spaces. More... | |
| void | v_AddTraceQuadPhysToField (const Array< OneD, const NekDouble > &Fwd, const Array< OneD, const NekDouble > &Bwd, Array< OneD, NekDouble > &field) override |
| void | v_ExtractTracePhys (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override |
| This method extracts the trace (verts in 1D) from the field inarray and puts the values in outarray. More... | |
| void | v_ExtractTracePhys (Array< OneD, NekDouble > &outarray) override |
| void | v_GetLocTraceFromTracePts (const Array< OneD, const NekDouble > &Fwd, const Array< OneD, const NekDouble > &Bwd, Array< OneD, NekDouble > &locTraceFwd, Array< OneD, NekDouble > &locTraceBwd) override |
| void | GenerateFieldBnd1D (SpatialDomains::BoundaryConditions &bcs, const std::string variable) |
| std::map< int, RobinBCInfoSharedPtr > | v_GetRobinBCInfo () override |
| const Array< OneD, const MultiRegions::ExpListSharedPtr > & | v_GetBndCondExpansions () override |
| const Array< OneD, const SpatialDomains::BoundaryConditionShPtr > & | v_GetBndConditions () override |
| MultiRegions::ExpListSharedPtr & | v_UpdateBndCondExpansion (int i) override |
| Array< OneD, SpatialDomains::BoundaryConditionShPtr > & | v_UpdateBndConditions () override |
| void | v_GetBoundaryToElmtMap (Array< OneD, int > &ElmtID, Array< OneD, int > &TraceID) override |
| void | v_GetBndElmtExpansion (int i, std::shared_ptr< ExpList > &result, const bool DeclareCoeffPhysArrays) override |
| void | v_Reset () override |
| Reset this field, so that geometry information can be updated. More... | |
| void | v_EvaluateBoundaryConditions (const NekDouble time=0.0, const std::string varName="", const NekDouble x2_in=NekConstants::kNekUnsetDouble, const NekDouble x3_in=NekConstants::kNekUnsetDouble) override |
| Evaluate all boundary conditions at a given time.. More... | |
| GlobalLinSysKey | v_HelmSolve (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::ConstFactorMap &factors, const StdRegions::VarCoeffMap &varcoeff, const MultiRegions::VarFactorsMap &varfactors, const Array< OneD, const NekDouble > &dirForcing, const bool PhysSpaceForcing) override |
| Solve the Helmholtz equation. More... | |
| void | v_PeriodicBwdCopy (const Array< OneD, const NekDouble > &Fwd, Array< OneD, NekDouble > &Bwd) override |
| void | v_FillBwdWithBwdWeight (Array< OneD, NekDouble > &weightave, Array< OneD, NekDouble > &weightjmp) override |
| Fill the weight with m_bndCondBndWeight. More... | |
| void | v_GetFwdBwdTracePhys (Array< OneD, NekDouble > &Fwd, Array< OneD, NekDouble > &Bwd) override |
| void | v_GetFwdBwdTracePhys (const Array< OneD, const NekDouble > &field, Array< OneD, NekDouble > &Fwd, Array< OneD, NekDouble > &Bwd, bool FillBnd=true, bool PutFwdInBwdOnBCs=false, bool DoExchange=true) override |
| void | v_FillBwdWithBoundCond (const Array< OneD, NekDouble > &Fwd, Array< OneD, NekDouble > &Bwd, bool PutFwdInBwdOnBCs) override |
| void | FillBwdWithBoundCond (const Array< OneD, NekDouble > &Fwd, Array< OneD, NekDouble > &Bwd, const Array< OneD, const SpatialDomains::BoundaryConditionShPtr > &bndConditions, const Array< OneD, const ExpListSharedPtr > &BndCondExpansions, bool PutFwdInBwdOnBCs) |
| const Array< OneD, const NekDouble > & | v_GetBndCondBwdWeight () override |
| void | v_SetBndCondBwdWeight (const int index, const NekDouble value) override |
| void | v_GetPeriodicEntities (PeriodicMap &periodicVerts, PeriodicMap &periodicEdges, PeriodicMap &periodicFaces) override |
| Obtain a copy of the periodic edges and vertices for this field. More... | |
| void | v_AddTraceIntegralToOffDiag (const Array< OneD, const NekDouble > &FwdFlux, const Array< OneD, const NekDouble > &BwdFlux, Array< OneD, NekDouble > &outarray) override |
| Protected Member Functions inherited from Nektar::MultiRegions::ExpList | |
| std::shared_ptr< DNekMat > | GenGlobalMatrixFull (const GlobalLinSysKey &mkey, const std::shared_ptr< AssemblyMapCG > &locToGloMap) |
| const DNekScalBlkMatSharedPtr | GenBlockMatrix (const GlobalMatrixKey &gkey) |
| This function assembles the block diagonal matrix of local matrices of the type mtype. More... | |
| const DNekScalBlkMatSharedPtr & | GetBlockMatrix (const GlobalMatrixKey &gkey) |
| void | MultiplyByBlockMatrix (const GlobalMatrixKey &gkey, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
| std::shared_ptr< GlobalMatrix > | GenGlobalMatrix (const GlobalMatrixKey &mkey, const std::shared_ptr< AssemblyMapCG > &locToGloMap) |
| Generates a global matrix from the given key and map. More... | |
| void | GlobalEigenSystem (const std::shared_ptr< DNekMat > &Gmat, Array< OneD, NekDouble > &EigValsReal, Array< OneD, NekDouble > &EigValsImag, Array< OneD, NekDouble > &EigVecs=NullNekDouble1DArray) |
| std::shared_ptr< GlobalLinSys > | GenGlobalLinSys (const GlobalLinSysKey &mkey, const std::shared_ptr< AssemblyMapCG > &locToGloMap) |
| This operation constructs the global linear system of type mkey. More... | |
| std::shared_ptr< GlobalLinSys > | GenGlobalBndLinSys (const GlobalLinSysKey &mkey, const AssemblyMapSharedPtr &locToGloMap) |
| Generate a GlobalLinSys from information provided by the key "mkey" and the mapping provided in LocToGloBaseMap. More... | |
| virtual size_t | v_GetNumElmts (void) |
| virtual const Array< OneD, const std::shared_ptr< ExpList > > & | v_GetBndCondExpansions (void) |
| virtual const Array< OneD, const NekDouble > & | v_GetBndCondBwdWeight () |
| virtual void | v_SetBndCondBwdWeight (const int index, const NekDouble value) |
| virtual std::shared_ptr< ExpList > & | v_UpdateBndCondExpansion (int i) |
| virtual void | v_Upwind (const Array< OneD, const Array< OneD, NekDouble > > &Vec, const Array< OneD, const NekDouble > &Fwd, const Array< OneD, const NekDouble > &Bwd, Array< OneD, NekDouble > &Upwind) |
| virtual void | v_Upwind (const Array< OneD, const NekDouble > &Vn, const Array< OneD, const NekDouble > &Fwd, const Array< OneD, const NekDouble > &Bwd, Array< OneD, NekDouble > &Upwind) |
| virtual std::shared_ptr< ExpList > & | v_GetTrace () |
| virtual std::shared_ptr< AssemblyMapDG > & | v_GetTraceMap () |
| virtual const Array< OneD, const int > & | v_GetTraceBndMap () |
| virtual const std::shared_ptr< LocTraceToTraceMap > & | v_GetLocTraceToTraceMap (void) const |
| virtual std::vector< bool > & | v_GetLeftAdjacentTraces (void) |
| virtual void | v_GetNormals (Array< OneD, Array< OneD, NekDouble > > &normals) |
| Populate normals with the normals of all expansions. More... | |
| virtual void | v_AddTraceIntegral (const Array< OneD, const NekDouble > &Fn, Array< OneD, NekDouble > &outarray) |
| virtual void | v_AddFwdBwdTraceIntegral (const Array< OneD, const NekDouble > &Fwd, const Array< OneD, const NekDouble > &Bwd, Array< OneD, NekDouble > &outarray) |
| virtual void | v_GetFwdBwdTracePhys (Array< OneD, NekDouble > &Fwd, Array< OneD, NekDouble > &Bwd) |
| virtual void | v_GetFwdBwdTracePhys (const Array< OneD, const NekDouble > &field, Array< OneD, NekDouble > &Fwd, Array< OneD, NekDouble > &Bwd, bool FillBnd=true, bool PutFwdInBwdOnBCs=false, bool DoExchange=true) |
| virtual void | v_FillBwdWithBoundCond (const Array< OneD, NekDouble > &Fwd, Array< OneD, NekDouble > &Bwd, bool PutFwdInBwdOnBCs) |
| virtual void | v_AddTraceQuadPhysToField (const Array< OneD, const NekDouble > &Fwd, const Array< OneD, const NekDouble > &Bwd, Array< OneD, NekDouble > &field) |
| virtual void | v_AddTraceQuadPhysToOffDiag (const Array< OneD, const NekDouble > &Fwd, const Array< OneD, const NekDouble > &Bwd, Array< OneD, NekDouble > &field) |
| virtual void | v_GetLocTraceFromTracePts (const Array< OneD, const NekDouble > &Fwd, const Array< OneD, const NekDouble > &Bwd, Array< OneD, NekDouble > &locTraceFwd, Array< OneD, NekDouble > &locTraceBwd) |
| virtual void | v_FillBwdWithBwdWeight (Array< OneD, NekDouble > &weightave, Array< OneD, NekDouble > &weightjmp) |
| virtual void | v_PeriodicBwdCopy (const Array< OneD, const NekDouble > &Fwd, Array< OneD, NekDouble > &Bwd) |
| virtual const std::vector< bool > & | v_GetLeftAdjacentFaces (void) const |
| virtual void | v_ExtractTracePhys (Array< OneD, NekDouble > &outarray) |
| virtual void | v_ExtractTracePhys (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
| virtual void | v_MultiplyByInvMassMatrix (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
| virtual GlobalLinSysKey | v_HelmSolve (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::ConstFactorMap &factors, const StdRegions::VarCoeffMap &varcoeff, const MultiRegions::VarFactorsMap &varfactors, const Array< OneD, const NekDouble > &dirForcing, const bool PhysSpaceForcing) |
| virtual GlobalLinSysKey | v_LinearAdvectionDiffusionReactionSolve (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::ConstFactorMap &factors, const StdRegions::VarCoeffMap &varcoeff, const MultiRegions::VarFactorsMap &varfactors, const Array< OneD, const NekDouble > &dirForcing, const bool PhysSpaceForcing) |
| virtual void | v_LinearAdvectionReactionSolve (const Array< OneD, Array< OneD, NekDouble > > &velocity, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const NekDouble lambda, const Array< OneD, const NekDouble > &dirForcing=NullNekDouble1DArray) |
| virtual void | v_ImposeDirichletConditions (Array< OneD, NekDouble > &outarray) |
| virtual void | v_FillBndCondFromField (const Array< OneD, NekDouble > coeffs) |
| virtual void | v_FillBndCondFromField (const int nreg, const Array< OneD, NekDouble > coeffs) |
| virtual void | v_Reset () |
| Reset geometry information, metrics, matrix managers and geometry information. More... | |
| virtual void | v_LocalToGlobal (bool UseComm) |
| virtual void | v_LocalToGlobal (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool UseComm) |
| virtual void | v_GlobalToLocal (void) |
| virtual void | v_GlobalToLocal (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
| virtual void | v_BwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
| virtual void | v_FwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
| virtual void | v_FwdTransLocalElmt (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
| virtual void | v_FwdTransBndConstrained (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
| virtual void | v_SmoothField (Array< OneD, NekDouble > &field) |
| virtual void | v_IProductWRTBase (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
| virtual void | v_IProductWRTDerivBase (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
| virtual void | v_IProductWRTDerivBase (const Array< OneD, const Array< OneD, NekDouble > > &inarray, Array< OneD, NekDouble > &outarray) |
| virtual void | v_GetCoords (Array< OneD, NekDouble > &coord_0, Array< OneD, NekDouble > &coord_1=NullNekDouble1DArray, Array< OneD, NekDouble > &coord_2=NullNekDouble1DArray) |
| virtual void | v_GetCoords (const int eid, Array< OneD, NekDouble > &xc0, Array< OneD, NekDouble > &xc1, Array< OneD, NekDouble > &xc2) |
| virtual void | v_PhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1, Array< OneD, NekDouble > &out_d2) |
| virtual void | v_PhysDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d) |
| virtual void | v_PhysDeriv (Direction edir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d) |
| virtual void | v_Curl (Array< OneD, Array< OneD, NekDouble > > &Vel, Array< OneD, Array< OneD, NekDouble > > &Q) |
| virtual void | v_CurlCurl (Array< OneD, Array< OneD, NekDouble > > &Vel, Array< OneD, Array< OneD, NekDouble > > &Q) |
| virtual void | v_PhysDirectionalDeriv (const Array< OneD, const NekDouble > &direction, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
| virtual void | v_GetMovingFrames (const SpatialDomains::GeomMMF MMFdir, const Array< OneD, const NekDouble > &CircCentre, Array< OneD, Array< OneD, NekDouble > > &outarray) |
| virtual void | v_HomogeneousFwdTrans (const int npts, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool Shuff=true, bool UnShuff=true) |
| virtual void | v_HomogeneousBwdTrans (const int npts, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool Shuff=true, bool UnShuff=true) |
| virtual void | v_DealiasedProd (const int num_dofs, const Array< OneD, NekDouble > &inarray1, const Array< OneD, NekDouble > &inarray2, Array< OneD, NekDouble > &outarray) |
| virtual void | v_DealiasedDotProd (const int num_dofs, const Array< OneD, Array< OneD, NekDouble > > &inarray1, const Array< OneD, Array< OneD, NekDouble > > &inarray2, Array< OneD, Array< OneD, NekDouble > > &outarray) |
| virtual void | v_GetBCValues (Array< OneD, NekDouble > &BndVals, const Array< OneD, NekDouble > &TotField, int BndID) |
| virtual void | v_NormVectorIProductWRTBase (Array< OneD, const NekDouble > &V1, Array< OneD, const NekDouble > &V2, Array< OneD, NekDouble > &outarray, int BndID) |
| virtual void | v_NormVectorIProductWRTBase (Array< OneD, Array< OneD, NekDouble > > &V, Array< OneD, NekDouble > &outarray) |
| virtual void | v_SetUpPhysNormals () |
| : Set up a normal along the trace elements between two elements at elemental level More... | |
| virtual void | v_GetBoundaryToElmtMap (Array< OneD, int > &ElmtID, Array< OneD, int > &EdgeID) |
| virtual void | v_GetBndElmtExpansion (int i, std::shared_ptr< ExpList > &result, const bool DeclareCoeffPhysArrays) |
| virtual void | v_ExtractElmtToBndPhys (const int i, const Array< OneD, NekDouble > &elmt, Array< OneD, NekDouble > &boundary) |
| virtual void | v_ExtractPhysToBndElmt (const int i, const Array< OneD, const NekDouble > &phys, Array< OneD, NekDouble > &bndElmt) |
| virtual void | v_ExtractPhysToBnd (const int i, const Array< OneD, const NekDouble > &phys, Array< OneD, NekDouble > &bnd) |
| virtual void | v_GetBoundaryNormals (int i, Array< OneD, Array< OneD, NekDouble > > &normals) |
| virtual std::vector< LibUtilities::FieldDefinitionsSharedPtr > | v_GetFieldDefinitions (void) |
| virtual void | v_GetFieldDefinitions (std::vector< LibUtilities::FieldDefinitionsSharedPtr > &fielddef) |
| virtual void | v_AppendFieldData (LibUtilities::FieldDefinitionsSharedPtr &fielddef, std::vector< NekDouble > &fielddata) |
| virtual void | v_AppendFieldData (LibUtilities::FieldDefinitionsSharedPtr &fielddef, std::vector< NekDouble > &fielddata, Array< OneD, NekDouble > &coeffs) |
| virtual void | v_ExtractDataToCoeffs (LibUtilities::FieldDefinitionsSharedPtr &fielddef, std::vector< NekDouble > &fielddata, std::string &field, Array< OneD, NekDouble > &coeffs, std::unordered_map< int, int > zIdToPlane) |
| Extract data from raw field data into expansion list. More... | |
| virtual void | v_ExtractCoeffsToCoeffs (const std::shared_ptr< ExpList > &fromExpList, const Array< OneD, const NekDouble > &fromCoeffs, Array< OneD, NekDouble > &toCoeffs) |
| virtual void | v_WriteTecplotHeader (std::ostream &outfile, std::string var="") |
| virtual void | v_WriteTecplotZone (std::ostream &outfile, int expansion) |
| virtual void | v_WriteTecplotField (std::ostream &outfile, int expansion) |
| virtual void | v_WriteTecplotConnectivity (std::ostream &outfile, int expansion) |
| virtual void | v_WriteVtkPieceData (std::ostream &outfile, int expansion, std::string var) |
| virtual void | v_WriteVtkPieceHeader (std::ostream &outfile, int expansion, int istrip) |
| virtual NekDouble | v_L2 (const Array< OneD, const NekDouble > &phys, const Array< OneD, const NekDouble > &soln=NullNekDouble1DArray) |
| virtual NekDouble | v_Integral (const Array< OneD, const NekDouble > &inarray) |
| virtual NekDouble | v_VectorFlux (const Array< OneD, Array< OneD, NekDouble > > &inarray) |
| virtual Array< OneD, const NekDouble > | v_HomogeneousEnergy (void) |
| virtual LibUtilities::TranspositionSharedPtr | v_GetTransposition (void) |
| virtual NekDouble | v_GetHomoLen (void) |
| virtual void | v_SetHomoLen (const NekDouble lhom) |
| virtual Array< OneD, const unsigned int > | v_GetZIDs (void) |
| virtual Array< OneD, const unsigned int > | v_GetYIDs (void) |
| virtual void | v_PhysInterp1DScaled (const NekDouble scale, const Array< OneD, NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
| virtual void | v_PhysGalerkinProjection1DScaled (const NekDouble scale, const Array< OneD, NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
| virtual void | v_ClearGlobalLinSysManager (void) |
| virtual int | v_GetPoolCount (std::string) |
| virtual void | v_UnsetGlobalLinSys (GlobalLinSysKey, bool) |
| virtual LibUtilities::NekManager< GlobalLinSysKey, GlobalLinSys > & | v_GetGlobalLinSysManager (void) |
| void | ExtractFileBCs (const std::string &fileName, LibUtilities::CommSharedPtr comm, const std::string &varName, const std::shared_ptr< ExpList > locExpList) |
| virtual const Array< OneD, const SpatialDomains::BoundaryConditionShPtr > & | v_GetBndConditions () |
| virtual Array< OneD, SpatialDomains::BoundaryConditionShPtr > & | v_UpdateBndConditions () |
| virtual void | v_EvaluateBoundaryConditions (const NekDouble time=0.0, const std::string varName="", const NekDouble x2_in=NekConstants::kNekUnsetDouble, const NekDouble x3_in=NekConstants::kNekUnsetDouble) |
| virtual std::map< int, RobinBCInfoSharedPtr > | v_GetRobinBCInfo (void) |
| virtual void | v_GetPeriodicEntities (PeriodicMap &periodicVerts, PeriodicMap &periodicEdges, PeriodicMap &periodicFaces) |
| virtual LibUtilities::BasisSharedPtr | v_GetHomogeneousBasis (void) |
| virtual void | v_SetHomo1DSpecVanVisc (Array< OneD, NekDouble > visc) |
| virtual std::shared_ptr< ExpList > & | v_GetPlane (int n) |
| virtual void | v_AddTraceIntegralToOffDiag (const Array< OneD, const NekDouble > &FwdFlux, const Array< OneD, const NekDouble > &BwdFlux, Array< OneD, NekDouble > &outarray) |
Protected Attributes | |
| AssemblyMapCGSharedPtr | m_locToGloMap |
| (A shared pointer to) the object which contains all the required information for the transformation from local to global degrees of freedom. More... | |
| GlobalMatrixMapShPtr | m_globalMat |
| (A shared pointer to) a list which collects all the global matrices being assembled, such that they should be constructed only once. More... | |
| LibUtilities::NekManager< GlobalLinSysKey, GlobalLinSys > | m_globalLinSysManager |
| A manager which collects all the global linear systems being assembled, such that they should be constructed only once. More... | |
| GJPStabilisationSharedPtr | m_GJPData |
| Data for Gradient Jump Penalisation (GJP) stabilisaiton. More... | |
| Protected Attributes inherited from Nektar::MultiRegions::DisContField | |
| size_t | m_numDirBndCondExpansions |
| The number of boundary segments on which Dirichlet boundary conditions are imposed. More... | |
| Array< OneD, SpatialDomains::BoundaryConditionShPtr > | m_bndConditions |
| An array which contains the information about the boundary condition structure definition on the different boundary regions. More... | |
| Array< OneD, MultiRegions::ExpListSharedPtr > | m_bndCondExpansions |
| An object which contains the discretised boundary conditions. More... | |
| Array< OneD, NekDouble > | m_bndCondBndWeight |
| InterfaceMapDGSharedPtr | m_interfaceMap |
| Interfaces mapping for trace space. More... | |
| GlobalLinSysMapShPtr | m_globalBndMat |
| Global boundary matrix. More... | |
| ExpListSharedPtr | m_trace |
| Trace space storage for points between elements. More... | |
| AssemblyMapDGSharedPtr | m_traceMap |
| Local to global DG mapping for trace space. More... | |
| std::set< int > | m_boundaryTraces |
| A set storing the global IDs of any boundary Verts. More... | |
| PeriodicMap | m_periodicVerts |
| A map which identifies groups of periodic vertices. More... | |
| PeriodicMap | m_periodicEdges |
| A map which identifies pairs of periodic edges. More... | |
| PeriodicMap | m_periodicFaces |
| A map which identifies pairs of periodic faces. More... | |
| std::vector< int > | m_periodicFwdCopy |
| A vector indicating degress of freedom which need to be copied from forwards to backwards space in case of a periodic boundary condition. More... | |
| std::vector< int > | m_periodicBwdCopy |
| std::vector< bool > | m_leftAdjacentTraces |
| LocTraceToTraceMapSharedPtr | m_locTraceToTraceMap |
| Protected Attributes inherited from Nektar::MultiRegions::ExpList | |
| ExpansionType | m_expType |
| Exapnsion type. More... | |
| LibUtilities::CommSharedPtr | m_comm |
| Communicator. More... | |
| LibUtilities::SessionReaderSharedPtr | m_session |
| Session. More... | |
| SpatialDomains::MeshGraphSharedPtr | m_graph |
| Mesh associated with this expansion list. More... | |
| int | m_ncoeffs |
| The total number of local degrees of freedom. m_ncoeffs \(=N_{\mathrm{eof}}=\sum_{e=1}^{{N_{\mathrm{el}}}}N^{e}_l\). More... | |
| int | m_npoints |
| Array< OneD, NekDouble > | m_coeffs |
| Concatenation of all local expansion coefficients. More... | |
| Array< OneD, NekDouble > | m_phys |
| The global expansion evaluated at the quadrature points. More... | |
| bool | m_physState |
| The state of the array m_phys. More... | |
| std::shared_ptr< LocalRegions::ExpansionVector > | m_exp |
| The list of local expansions. More... | |
| Collections::CollectionVector | m_collections |
| std::vector< bool > | m_collectionsDoInit |
| Vector of bools to act as an initialise on first call flag. More... | |
| std::vector< int > | m_coll_coeff_offset |
| Offset of elemental data into the array m_coeffs. More... | |
| std::vector< int > | m_coll_phys_offset |
| Offset of elemental data into the array m_phys. More... | |
| Array< OneD, int > | m_coeff_offset |
| Offset of elemental data into the array m_coeffs. More... | |
| Array< OneD, int > | m_phys_offset |
| Offset of elemental data into the array m_phys. More... | |
| Array< OneD, std::pair< int, int > > | m_coeffsToElmt |
| m_coeffs to elemental value map More... | |
| BlockMatrixMapShPtr | m_blockMat |
| bool | m_WaveSpace |
| std::unordered_map< int, int > | m_elmtToExpId |
| Mapping from geometry ID of element to index inside m_exp. More... | |
Additional Inherited Members | |
| Public Attributes inherited from Nektar::MultiRegions::DisContField | |
| Array< OneD, int > | m_BCtoElmMap |
| Array< OneD, int > | m_BCtoTraceMap |
| Static Protected Member Functions inherited from Nektar::MultiRegions::ExpList | |
| static SpatialDomains::BoundaryConditionShPtr | GetBoundaryCondition (const SpatialDomains::BoundaryConditionCollection &collection, unsigned int index, const std::string &variable) |
Detailed Description
This class is the abstraction of a global continuous two- dimensional spectral/hp element expansion which approximates the solution of a set of partial differential equations.
The class ContField is able to incorporate the boundary conditions imposed to the problem to be solved. Therefore, the class is equipped with three additional data members:
- m_bndCondExpansions
- #m_bndTypes
- #m_bndCondEquations
The first data structure, m_bndCondExpansions, contains the one-dimensional spectral/hp expansion on the boundary, #m_bndTypes stores information about the type of boundary condition on the different parts of the boundary while #m_bndCondEquations holds the equation of the imposed boundary conditions.
Furthermore, in case of Dirichlet boundary conditions, this class is capable of lifting a known solution satisfying these boundary conditions. If we denote the unknown solution by \(u^{\mathcal{H}}(\boldsymbol{x})\) and the known Dirichlet boundary conditions by \(u^{\mathcal{D}}(\boldsymbol{x})\), the expansion then can be decomposed as
\[ u^{\delta}(\boldsymbol{x}_i)=u^{\mathcal{D}}(\boldsymbol{x}_i)+ u^{\mathcal{H}}(\boldsymbol{x}_i)=\sum_{n=0}^{N^{\mathcal{D}}-1} \hat{u}_n^{\mathcal{D}}\Phi_n(\boldsymbol{x}_i)+ \sum_{n={N^{\mathcal{D}}}}^{N_{\mathrm{dof}}-1} \hat{u}_n^{\mathcal{H}} \Phi_n(\boldsymbol{x}_i).\]
This lifting is accomplished by ordering the known global degrees of freedom, prescribed by the Dirichlet boundary conditions, first in the global array \(\boldsymbol{\hat{u}}\), that is,
\[\boldsymbol{\hat{u}}=\left[ \begin{array}{c} \boldsymbol{\hat{u}}^{\mathcal{D}}\\ \boldsymbol{\hat{u}}^{\mathcal{H}} \end{array} \right].\]
Such kind of expansions are also referred to as continuous fields. This class should be used when solving 2D problems using a standard Galerkin approach.
Definition at line 54 of file ContField.h.
Constructor & Destructor Documentation
◆ ContField() [1/5]
| Nektar::MultiRegions::ContField::ContField | ( | ) |
The default constructor.
Definition at line 87 of file ContField.cpp.
◆ ContField() [2/5]
| Nektar::MultiRegions::ContField::ContField | ( | const LibUtilities::SessionReaderSharedPtr & | pSession, |
| const SpatialDomains::MeshGraphSharedPtr & | graph, | ||
| const std::string & | variable = "DefaultVar", |
||
| const bool | DeclareCoeffPhysArrays = true, |
||
| const bool | CheckIfSingularSystem = false, |
||
| const Collections::ImplementationType | ImpType = Collections::eNoImpType |
||
| ) |
This constructor sets up global continuous field based on an input mesh and boundary conditions.
Given a mesh graph, containing information about the domain and the spectral/hp element expansion, this constructor fills the list of local expansions m_exp with the proper expansions, calculates the total number of quadrature points \(\boldsymbol{x}_i\) and local expansion coefficients \(\hat{u}^e_n\) and allocates memory for the arrays m_coeffs and m_phys. Furthermore, it constructs the mapping array (contained in m_locToGloMap) for the transformation between local elemental level and global level, it calculates the total number global expansion coefficients \(\hat{u}_n\) and allocates memory for the array #m_contCoeffs. The constructor also discretises the boundary conditions, specified by the argument bcs, by expressing them in terms of the coefficient of the expansion on the boundary.
- Parameters
-
graph A mesh, containing information about the domain and the spectral/hp element expansion. bcs The boundary conditions. variable An optional parameter to indicate for which variable the field should be constructed.
Definition at line 116 of file ContField.cpp.
References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), Nektar::MultiRegions::DisContField::m_bndCondExpansions, Nektar::MultiRegions::DisContField::m_bndConditions, m_locToGloMap, Nektar::MultiRegions::ExpList::m_ncoeffs, Nektar::MultiRegions::DisContField::m_periodicEdges, Nektar::MultiRegions::DisContField::m_periodicFaces, Nektar::MultiRegions::DisContField::m_periodicVerts, and Nektar::MultiRegions::ExpList::m_session.
◆ ContField() [3/5]
| Nektar::MultiRegions::ContField::ContField | ( | const ContField & | In, |
| const SpatialDomains::MeshGraphSharedPtr & | graph, | ||
| const std::string & | variable, | ||
| const bool | DeclareCoeffPhysArrays = true, |
||
| const bool | CheckIfSingularSystem = false |
||
| ) |
Construct a global continuous field with solution type based on another field but using a separate input mesh and boundary conditions.
Given a mesh graph, containing information about the domain and the spectral/hp element expansion, this constructor fills the list of local expansions m_exp with the proper expansions, calculates the total number of quadrature points \(\boldsymbol{x}_i\) and local expansion coefficients \(\hat{u}^e_n\) and allocates memory for the arrays m_coeffs and m_phys. Furthermore, it constructs the mapping array (contained in m_locToGloMap) for the transformation between local elemental level and global level, it calculates the total number global expansion coefficients \(\hat{u}_n\) and allocates memory for the array m_coeffs. The constructor also discretises the boundary conditions, specified by the argument bcs, by expressing them in terms of the coefficient of the expansion on the boundary.
- Parameters
-
In Existing ContField object used to provide the local to global mapping information and global solution type. graph A mesh, containing information about the domain and the spectral/hp element expansion. bcs The boundary conditions. bc_loc
Definition at line 163 of file ContField.cpp.
References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), Nektar::MultiRegions::DisContField::m_bndCondExpansions, Nektar::MultiRegions::DisContField::m_bndConditions, m_locToGloMap, Nektar::MultiRegions::ExpList::m_ncoeffs, Nektar::MultiRegions::DisContField::m_periodicEdges, Nektar::MultiRegions::DisContField::m_periodicFaces, Nektar::MultiRegions::DisContField::m_periodicVerts, Nektar::MultiRegions::ExpList::m_session, and Nektar::MultiRegions::DisContField::SameTypeOfBoundaryConditions().
◆ ContField() [4/5]
| Nektar::MultiRegions::ContField::ContField | ( | const ContField & | In, |
| bool | DeclareCoeffPhysArrays = true |
||
| ) |
The copy constructor.
Initialises the object as a copy of an existing ContField object.
- Parameters
-
In Existing ContField object. DeclareCoeffPhysArrays bool to declare if m_phys and m_coeffs should be declared. Default is true
Definition at line 198 of file ContField.cpp.
◆ ContField() [5/5]
| Nektar::MultiRegions::ContField::ContField | ( | const LibUtilities::SessionReaderSharedPtr & | pSession, |
| const ExpList & | In | ||
| ) |
Copy constructor.
Constructs a continuous field as a copy of an existing explist field and adding all the boundary conditions.
- Parameters
-
In Existing explist1D field .
Definition at line 211 of file ContField.cpp.
References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), m_locToGloMap, and Nektar::MultiRegions::ExpList::m_ncoeffs.
◆ ~ContField()
|
override |
Member Function Documentation
◆ Assemble() [1/2]
|
inline |
Assembles the global coefficients \(\boldsymbol{\hat{u}}_g\) from the local coefficients \(\boldsymbol{\hat{u}}_l\).
This operation is evaluated as:
\begin{tabbing} \hspace{1cm} \= Do \= $e=$ $1, N_{\mathrm{el}}$ \\ \> \> Do \= $i=$ $0,N_m^e-1$ \\ \> \> \> $\boldsymbol{\hat{u}}_g[\mbox{map}[e][i]] = \boldsymbol{\hat{u}}_g[\mbox{map}[e][i]]+\mbox{sign}[e][i] \cdot \boldsymbol{\hat{u}}^{e}[i]$\\ \> \> continue\\ \> continue \end{tabbing}
where map \([e][i]\) is the mapping array and sign \([e][i]\) is an array of similar dimensions ensuring the correct modal connectivity between the different elements (both these arrays are contained in the data member m_locToGloMap). This operation is equivalent to the gather operation \(\boldsymbol{\hat{u}}_g=\mathcal{A}^{T}\boldsymbol{\hat{u}}_l\), where \(\mathcal{A}\) is the \(N_{\mathrm{eof}}\times N_{\mathrm{dof}}\) permutation matrix.
- Note
- The array m_coeffs should be filled with the local coefficients \(\boldsymbol{\hat{u}}_l\) and that the resulting global coefficients \(\boldsymbol{\hat{u}}_g\) will be stored in m_coeffs.
Definition at line 295 of file ContField.h.
References Nektar::MultiRegions::ExpList::m_coeffs, and m_locToGloMap.
◆ Assemble() [2/2]
|
inline |
Assembles the global coefficients \(\boldsymbol{\hat{u}}_g\) from the local coefficients \(\boldsymbol{\hat{u}}_l\).
This operation is evaluated as:
\begin{tabbing} \hspace{1cm} \= Do \= $e=$ $1, N_{\mathrm{el}}$ \\ \> \> Do \= $i=$ $0,N_m^e-1$ \\ \> \> \> $\boldsymbol{\hat{u}}_g[\mbox{map}[e][i]] = \boldsymbol{\hat{u}}_g[\mbox{map}[e][i]]+\mbox{sign}[e][i] \cdot \boldsymbol{\hat{u}}^{e}[i]$\\ \> \> continue\\ \> continue \end{tabbing}
where map \([e][i]\) is the mapping array and sign \([e][i]\) is an array of similar dimensions ensuring the correct modal connectivity between the different elements (both these arrays are contained in the data member m_locToGloMap). This operation is equivalent to the gather operation \(\boldsymbol{\hat{u}}_g=\mathcal{A}^{T}\boldsymbol{\hat{u}}_l\), where \(\mathcal{A}\) is the \(N_{\mathrm{eof}}\times N_{\mathrm{dof}}\) permutation matrix.
- Parameters
-
inarray An array of size \(N_\mathrm{eof}\) containing the local degrees of freedom \(\boldsymbol{x}_l\). outarray The resulting global degrees of freedom \(\boldsymbol{x}_g\) will be stored in this array of size \(N_\mathrm{dof}\).
Definition at line 327 of file ContField.h.
References m_locToGloMap.
◆ GenGlobalLinSys()
|
protected |
Definition at line 548 of file ContField.cpp.
References ASSERTL1, Nektar::MultiRegions::ExpList::GenGlobalLinSys(), Nektar::MultiRegions::GlobalMatrixKey::LocToGloMapIsDefined(), and m_locToGloMap.
◆ GetGJPForcing()
|
inline |
Definition at line 127 of file ContField.h.
References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), Nektar::MultiRegions::ExpList::GetSharedThisPtr(), and m_GJPData.
◆ GetGlobalLinSys()
|
protected |
Returns the linear system specified by the key mkey.
The function searches the map #m_globalLinSys to see if the global matrix has been created before. If not, it calls the function GenGlobalLinSys to generate the requested global system.
- Parameters
-
mkey This key uniquely defines the requested linear system.
Definition at line 543 of file ContField.cpp.
References m_globalLinSysManager.
Referenced by GlobalSolve(), and v_UnsetGlobalLinSys().
◆ GetGlobalMatrix()
|
protected |
Returns the global matrix specified by mkey.
Returns the global matrix associated with the given GlobalMatrixKey. If the global matrix has not yet been constructed on this field, it is first constructed using GenGlobalMatrix().
- Parameters
-
mkey Global matrix key.
- Returns
- Assocated global matrix.
Definition at line 513 of file ContField.cpp.
References ASSERTL1, Nektar::MultiRegions::ExpList::GenGlobalMatrix(), Nektar::MultiRegions::GlobalMatrixKey::LocToGloMapIsDefined(), m_globalMat, and m_locToGloMap.
◆ GetGlobalMatrixNnz()
|
inline |
Definition at line 350 of file ContField.h.
References ASSERTL1, Nektar::MultiRegions::GlobalMatrixKey::LocToGloMapIsDefined(), and m_globalMat.
◆ GetLocalToGlobalMap()
|
inline |
Returns the map from local to global level.
Definition at line 333 of file ContField.h.
References m_locToGloMap.
◆ GlobalSolve()
| void Nektar::MultiRegions::ContField::GlobalSolve | ( | const GlobalLinSysKey & | key, |
| const Array< OneD, const NekDouble > & | locrhs, | ||
| Array< OneD, NekDouble > & | inout, | ||
| const Array< OneD, const NekDouble > & | dirForcing = NullNekDouble1DArray |
||
| ) |
Solves the linear system specified by the key key.
Given a linear system specified by the key key,
\[\boldsymbol{M}\boldsymbol{\hat{u}}_g=\boldsymbol{\hat{f}},\]
this function solves this linear system taking into account the boundary conditions specified in the data member m_bndCondExpansions. Therefore, it adds an array \(\boldsymbol{\hat{g}}\) which represents the non-zero surface integral resulting from the weak boundary conditions (e.g. Neumann boundary conditions) to the right hand side, that is,
\[\boldsymbol{M}\boldsymbol{\hat{u}}_g=\boldsymbol{\hat{f}}+ \boldsymbol{\hat{g}}.\]
Furthermore, it lifts the known degrees of freedom which are prescribed by the Dirichlet boundary conditions. As these known coefficients \(\boldsymbol{\hat{u}}^{\mathcal{D}}\) are numbered first in the global coefficient array \(\boldsymbol{\hat{u}}_g\), the linear system can be decomposed as,
\[\left[\begin{array}{cc} \boldsymbol{M}^{\mathcal{DD}}&\boldsymbol{M}^{\mathcal{DH}}\\ \boldsymbol{M}^{\mathcal{HD}}&\boldsymbol{M}^{\mathcal{HH}} \end{array}\right] \left[\begin{array}{c} \boldsymbol{\hat{u}}^{\mathcal{D}}\\ \boldsymbol{\hat{u}}^{\mathcal{H}} \end{array}\right]= \left[\begin{array}{c} \boldsymbol{\hat{f}}^{\mathcal{D}}\\ \boldsymbol{\hat{f}}^{\mathcal{H}} \end{array}\right]+ \left[\begin{array}{c} \boldsymbol{\hat{g}}^{\mathcal{D}}\\ \boldsymbol{\hat{g}}^{\mathcal{H}} \end{array}\right] \]
which will then be solved for the unknown coefficients \(\boldsymbol{\hat{u}}^{\mathcal{H}}\) as,
\[ \boldsymbol{M}^{\mathcal{HH}}\boldsymbol{\hat{u}}^{\mathcal{H}}= \boldsymbol{\hat{f}}^{\mathcal{H}}+ \boldsymbol{\hat{g}}^{\mathcal{H}}- \boldsymbol{M}^{\mathcal{HD}}\boldsymbol{\hat{u}}^{\mathcal{D}}\]
- Parameters
-
mkey This key uniquely defines the linear system to be solved. locrhs contains the forcing term in local coefficient space
- Note
- inout contains initial guess and final output in local coeffs.
Definition at line 486 of file ContField.cpp.
References GetGlobalLinSys(), m_locToGloMap, and v_ImposeDirichletConditions().
Referenced by LaplaceSolve(), v_FwdTrans(), v_HelmSolve(), v_LinearAdvectionDiffusionReactionSolve(), v_LinearAdvectionReactionSolve(), and v_MultiplyByInvMassMatrix().
◆ LaplaceSolve()
| void Nektar::MultiRegions::ContField::LaplaceSolve | ( | const Array< OneD, const NekDouble > & | inarray, |
| Array< OneD, NekDouble > & | outarray, | ||
| const Array< OneD, const NekDouble > & | dirForcing = NullNekDouble1DArray, |
||
| const Array< OneD, Array< OneD, NekDouble > > & | variablecoeffs = NullNekDoubleArrayOfArray, |
||
| NekDouble | time = 0.0 |
||
| ) |
Solves the two-dimensional Laplace equation, subject to the boundary conditions specified.
Consider the two dimensional Laplace equation,
\[\nabla\cdot\left(\boldsymbol{\sigma}\nabla u(\boldsymbol{x})\right) = f(\boldsymbol{x}),\]
supplemented with appropriate boundary conditions (which are contained in the data member m_bndCondExpansions). In the equation above \(\boldsymbol{\sigma}\) is the (symmetric positive definite) diffusion tensor:
\[ \sigma = \left[ \begin{array}{cc} \sigma_{00}(\boldsymbol{x},t) & \sigma_{01}(\boldsymbol{x},t) \\ \sigma_{01}(\boldsymbol{x},t) & \sigma_{11}(\boldsymbol{x},t) \end{array} \right]. \]
Applying a \(C^0\) continuous Galerkin discretisation, this equation leads to the following linear system:
\[\boldsymbol{L} \boldsymbol{\hat{u}}_g=\boldsymbol{\hat{f}}\]
where \(\boldsymbol{L}\) is the Laplacian matrix. This function solves the system above for the global coefficients \(\boldsymbol{\hat{u}}\) by a call to the function GlobalSolve.
The values of the function \(f(\boldsymbol{x})\) evaluated at the quadrature points \(\boldsymbol{x}_i\) should be contained in the variable #inarray
- Parameters
-
inarray An Array<OneD, NekDouble> containing the discrete evaluation of the forcing function \(f(\boldsymbol{x})\) at the quadrature points. outarray An Array<OneD, NekDouble> containing the coefficients of the solution variablecoeffs The (optional) parameter containing the coefficients evaluated at the quadrature points. It is an Array of (three) arrays which stores the laplacian coefficients in the following way \[\mathrm{variablecoeffs} = \left[ \begin{array}{c} \left[\sigma_{00}(\boldsymbol{x_i},t)\right]_i \\ \left[\sigma_{01}(\boldsymbol{x_i},t)\right]_i \\ \left[\sigma_{11}(\boldsymbol{x_i},t)\right]_i \end{array}\right] \]
If this argument is not passed to the function, the following equation will be solved:\[\nabla^2u(\boldsymbol{x}) = f(\boldsymbol{x}),\]
time The time-level at which the coefficients are evaluated
Definition at line 336 of file ContField.cpp.
References Nektar::StdRegions::eFactorTime, Nektar::StdRegions::eLaplacian, Nektar::SpatialDomains::eNeumann, Nektar::SpatialDomains::eRobin, Nektar::StdRegions::eVarCoeffD00, Nektar::StdRegions::eVarCoeffD01, Nektar::StdRegions::eVarCoeffD11, Nektar::StdRegions::eVarCoeffD22, Nektar::VarcoeffHashingTest::factors, Nektar::MultiRegions::ExpList::GetCoeffs(), Nektar::MultiRegions::ExpList::GetNcoeffs(), GlobalSolve(), Nektar::MultiRegions::ExpList::IProductWRTBase(), Nektar::MultiRegions::DisContField::m_bndCondExpansions, Nektar::MultiRegions::DisContField::m_bndConditions, m_locToGloMap, Nektar::MultiRegions::ExpList::m_ncoeffs, Vmath::Neg(), and sign.
◆ LinearAdvectionEigs()
| void Nektar::MultiRegions::ContField::LinearAdvectionEigs | ( | const NekDouble | ax, |
| const NekDouble | ay, | ||
| Array< OneD, NekDouble > & | Real, | ||
| Array< OneD, NekDouble > & | Imag, | ||
| Array< OneD, NekDouble > & | Evecs = NullNekDouble1DArray |
||
| ) |
Compute the eigenvalues of the linear advection operator.
Constructs the GlobalLinearSysKey for the linear advection operator with the supplied parameters, and computes the eigenvectors and eigenvalues of the associated matrix.
- Parameters
-
ax Advection parameter, x. ay Advection parameter, y. Real Computed eigenvalues, real component. Imag Computed eigenvalues, imag component. Evecs Computed eigenvectors.
Definition at line 414 of file ContField.cpp.
References CG_Iterations::ax, Nektar::StdRegions::eFactorTime, Nektar::StdRegions::eLinearAdvectionReaction, Nektar::StdRegions::eVarCoeffVelX, Nektar::StdRegions::eVarCoeffVelY, Nektar::VarcoeffHashingTest::factors, Nektar::MultiRegions::ExpList::GenGlobalMatrixFull(), m_locToGloMap, and Nektar::MultiRegions::ExpList::m_npoints.
◆ SetGJPForcing()
|
inline |
Definition at line 139 of file ContField.h.
References m_GJPData.
◆ v_ClearGlobalLinSysManager()
Reset the GlobalLinSys Manager
Reimplemented from Nektar::MultiRegions::ExpList.
Definition at line 1017 of file ContField.cpp.
References m_globalLinSysManager.
◆ v_FillBndCondFromField() [1/2]
|
overrideprotectedvirtual |
Reimplemented from Nektar::MultiRegions::ExpList.
Definition at line 616 of file ContField.cpp.
References Nektar::MultiRegions::ExpList::GetNcoeffs(), Nektar::MultiRegions::DisContField::m_bndCondExpansions, m_locToGloMap, and sign.
◆ v_FillBndCondFromField() [2/2]
|
overrideprotectedvirtual |
Reimplemented from Nektar::MultiRegions::ExpList.
Definition at line 649 of file ContField.cpp.
References ASSERTL1, Nektar::MultiRegions::ExpList::GetNcoeffs(), Nektar::MultiRegions::DisContField::m_bndCondExpansions, m_locToGloMap, and sign.
◆ v_FwdTrans()
|
overrideprotectedvirtual |
Template method virtual forwarder for FwdTrans().
Given a function \(f(\boldsymbol{x})\) defined at the quadrature points, this function determines the unknown global coefficients \(\boldsymbol{\hat{u}}^{\mathcal{H}}\) employing a discrete Galerkin projection from physical space to coefficient space. The operation is evaluated by the function GlobalSolve using the global mass matrix.
The values of the function \(f(\boldsymbol{x})\) evaluated at the quadrature points \(\boldsymbol{x}_i\) should be contained in the variable #inarray of the ExpList object Sin. The resulting global coefficients \(\hat{u}_g\) are stored in the array #outarray.
Reimplemented from Nektar::MultiRegions::ExpList.
Definition at line 242 of file ContField.cpp.
References Nektar::StdRegions::eMass, GlobalSolve(), Nektar::MultiRegions::ExpList::IProductWRTBase(), m_locToGloMap, and Nektar::MultiRegions::ExpList::m_ncoeffs.
◆ v_GetBndCondExpansions()
|
inlineoverrideprotectedvirtual |
Returns the boundary conditions expansion.
Reimplemented from Nektar::MultiRegions::ExpList.
Definition at line 339 of file ContField.h.
References Nektar::MultiRegions::DisContField::m_bndCondExpansions.
◆ v_GetBndConditions()
|
inlineoverrideprotectedvirtual |
Template method virtual forwarder for GetBndConditions().
Reimplemented from Nektar::MultiRegions::ExpList.
Definition at line 345 of file ContField.h.
References Nektar::MultiRegions::DisContField::m_bndConditions.
◆ v_GetPoolCount()
|
overrideprotectedvirtual |
Get the pool count for the specified poolName
Reimplemented from Nektar::MultiRegions::ExpList.
Definition at line 1025 of file ContField.cpp.
References m_globalLinSysManager.
◆ v_GlobalToLocal() [1/2]
|
overrideprotectedvirtual |
Scatters from the global coefficients \(\boldsymbol{\hat{u}}_g\) to the local coefficients \(\boldsymbol{\hat{u}}_l\).
This operation is evaluated as:
\begin{tabbing} \hspace{1cm} \= Do \= $e=$ $1, N_{\mathrm{el}}$ \\ \> \> Do \= $i=$ $0,N_m^e-1$ \\ \> \> \> $\boldsymbol{\hat{u}}^{e}[i] = \mbox{sign}[e][i] \cdot \boldsymbol{\hat{u}}_g[\mbox{map}[e][i]]$ \\ \> \> continue \\ \> continue \end{tabbing}
where map \([e][i]\) is the mapping array and sign \([e][i]\) is an array of similar dimensions ensuring the correct modal connectivity between the different elements (both these arrays are contained in the data member m_locToGloMap). This operation is equivalent to the scatter operation \(\boldsymbol{\hat{u}}_l=\mathcal{A}\boldsymbol{\hat{u}}_g\), where \(\mathcal{A}\) is the \(N_{\mathrm{eof}}\times N_{\mathrm{dof}}\) permutation matrix.
Reimplemented from Nektar::MultiRegions::ExpList.
Definition at line 707 of file ContField.cpp.
References m_locToGloMap.
◆ v_GlobalToLocal() [2/2]
Reimplemented from Nektar::MultiRegions::ExpList.
Definition at line 713 of file ContField.cpp.
References Nektar::MultiRegions::ExpList::m_coeffs, and m_locToGloMap.
◆ v_HelmSolve()
|
overrideprotectedvirtual |
Solves the two-dimensional Helmholtz equation, subject to the boundary conditions specified.
Consider the two dimensional Helmholtz equation,
\[\nabla^2u(\boldsymbol{x})-\lambda u(\boldsymbol{x}) = f(\boldsymbol{x}),\]
supplemented with appropriate boundary conditions (which are contained in the data member m_bndCondExpansions). Applying a \(C^0\) continuous Galerkin discretisation, this equation leads to the following linear system:
\[\left(\boldsymbol{L}+\lambda\boldsymbol{M}\right) \boldsymbol{\hat{u}}_g=\boldsymbol{\hat{f}}\]
where \(\boldsymbol{L}\) and \(\boldsymbol{M}\) are the Laplacian and mass matrix respectively. This function solves the system above for the global coefficients \(\boldsymbol{\hat{u}}\) by a call to the function GlobalSolve.
- Parameters
-
inarray An Array<OneD, NekDouble> , containing the discrete evaluation of the forcing function \(f(\boldsymbol{x})\) at the quadrature points factors The parameter \(\lambda\) of the Helmholtz equation is specified through the factors map
Reimplemented from Nektar::MultiRegions::ExpList.
Definition at line 772 of file ContField.cpp.
References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), Nektar::MultiRegions::ExpList::BwdTrans(), Nektar::StdRegions::eFactorGJP, Nektar::StdRegions::eHelmholtz, Nektar::StdRegions::eHelmholtzGJP, Nektar::SpatialDomains::eNeumann, Nektar::SpatialDomains::eRobin, Nektar::StdRegions::eVarCoeffGJPNormVel, Nektar::VarcoeffHashingTest::factors, Nektar::MultiRegions::ExpList::GetCoeffs(), Nektar::MultiRegions::ExpList::GetNcoeffs(), Nektar::MultiRegions::ExpList::GetSharedThisPtr(), GlobalSolve(), Nektar::MultiRegions::ExpList::IProductWRTBase(), Nektar::MultiRegions::DisContField::m_bndCondExpansions, Nektar::MultiRegions::DisContField::m_bndConditions, m_GJPData, m_locToGloMap, Nektar::MultiRegions::ExpList::m_ncoeffs, Nektar::MultiRegions::ExpList::m_npoints, Vmath::Neg(), Nektar::NullNekDouble1DArray, sign, and Vmath::Smul().
◆ v_ImposeDirichletConditions()
|
overrideprotectedvirtual |
Impose the Dirichlet Boundary Conditions on outarray.
Reimplemented from Nektar::MultiRegions::ExpList.
Definition at line 556 of file ContField.cpp.
References Nektar::SpatialDomains::eDirichlet, Nektar::MultiRegions::ExpList::GetCoeffs(), Nektar::MultiRegions::ExpList::GetNcoeffs(), Nektar::MultiRegions::DisContField::m_bndCondExpansions, Nektar::MultiRegions::DisContField::m_bndConditions, m_locToGloMap, and sign.
Referenced by GlobalSolve().
◆ v_LinearAdvectionDiffusionReactionSolve()
|
overrideprotectedvirtual |
First compute the inner product of forcing function with respect to base, and then solve the system with the linear advection operator.
- Parameters
-
velocity Array of advection velocities in physical space inarray Forcing function. outarray Result. lambda reaction coefficient dirForcing Dirichlet Forcing.
Reimplemented from Nektar::MultiRegions::ExpList.
Definition at line 883 of file ContField.cpp.
References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), Nektar::MultiRegions::ExpList::BwdTrans(), Nektar::StdRegions::eFactorGJP, Nektar::StdRegions::eLinearAdvectionDiffusionReaction, Nektar::StdRegions::eLinearAdvectionDiffusionReactionGJP, Nektar::SpatialDomains::eNeumann, Nektar::SpatialDomains::eRobin, Nektar::StdRegions::eVarCoeffGJPNormVel, Nektar::VarcoeffHashingTest::factors, Nektar::MultiRegions::ExpList::GetCoeffs(), Nektar::MultiRegions::ExpList::GetNcoeffs(), Nektar::MultiRegions::ExpList::GetSharedThisPtr(), GlobalSolve(), Nektar::MultiRegions::ExpList::IProductWRTBase(), Nektar::MultiRegions::DisContField::m_bndCondExpansions, Nektar::MultiRegions::DisContField::m_bndConditions, m_GJPData, m_locToGloMap, Nektar::MultiRegions::ExpList::m_ncoeffs, Nektar::MultiRegions::ExpList::m_npoints, Vmath::Neg(), Nektar::NullNekDouble1DArray, sign, and Vmath::Smul().
◆ v_LinearAdvectionReactionSolve()
|
overrideprotectedvirtual |
First compute the inner product of forcing function with respect to base, and then solve the system with the linear advection operator.
- Parameters
-
velocity Array of advection velocities in physical space inarray Forcing function. outarray Result. lambda reaction coefficient dirForcing Dirichlet Forcing.
Reimplemented from Nektar::MultiRegions::ExpList.
Definition at line 992 of file ContField.cpp.
References Nektar::StdRegions::eFactorLambda, Nektar::StdRegions::eLinearAdvectionReaction, Nektar::StdRegions::eVarCoeffVelX, Nektar::StdRegions::eVarCoeffVelY, Nektar::VarcoeffHashingTest::factors, GlobalSolve(), Nektar::MultiRegions::ExpList::IProductWRTBase(), m_locToGloMap, Nektar::MultiRegions::ExpList::m_ncoeffs, and Nektar::MovementTests::velocity.
◆ v_LocalToGlobal() [1/2]
|
overrideprotectedvirtual |
Reimplemented from Nektar::MultiRegions::ExpList.
Definition at line 745 of file ContField.cpp.
References Nektar::MultiRegions::ExpList::m_coeffs, and m_locToGloMap.
◆ v_LocalToGlobal() [2/2]
|
overrideprotectedvirtual |
Gathers the global coefficients \(\boldsymbol{\hat{u}}_g\) from the local coefficients \(\boldsymbol{\hat{u}}_l\).
This operation is evaluated as:
\begin{tabbing} \hspace{1cm} \= Do \= $e=$ $1, N_{\mathrm{el}}$ \\ \> \> Do \= $i=$ $0,N_m^e-1$ \\ \> \> \> $\boldsymbol{\hat{u}}_g[\mbox{map}[e][i]] = \mbox{sign}[e][i] \cdot \boldsymbol{\hat{u}}^{e}[i]$\\ \> \> continue\\ \> continue \end{tabbing}
where map \([e][i]\) is the mapping array and sign \([e][i]\) is an array of similar dimensions ensuring the correct modal connectivity between the different elements (both these arrays are contained in the data member m_locToGloMap). This operation is equivalent to the gather operation \(\boldsymbol{\hat{u}}_g=\mathcal{A}^{-1}\boldsymbol{\hat{u}}_l\), where \(\mathcal{A}\) is the \(N_{\mathrm{eof}}\times N_{\mathrm{dof}}\) permutation matrix.
Reimplemented from Nektar::MultiRegions::ExpList.
Definition at line 739 of file ContField.cpp.
References m_locToGloMap.
◆ v_MultiplyByInvMassMatrix()
|
overrideprotectedvirtual |
Template method virtual forwarder for MultiplyByInvMassMatrix().
Computes the matrix vector product \( \mathbf{y} = \mathbf{M}^{-1}\mathbf{x} \).
- Parameters
-
inarray Input vector \(\mathbf{x}\). outarray Output vector \(\mathbf{y}\).
Reimplemented from Nektar::MultiRegions::ExpList.
Definition at line 277 of file ContField.cpp.
References Nektar::StdRegions::eMass, GlobalSolve(), and m_locToGloMap.
◆ v_SmoothField()
|
overrideprotectedvirtual |
Template method virtual forwarded for SmoothField().
Reimplemented from Nektar::MultiRegions::ExpList.
Definition at line 259 of file ContField.cpp.
References Nektar::MultiRegions::ExpList::BwdTrans(), Nektar::MultiRegions::ExpList::IProductWRTBase(), m_locToGloMap, and Nektar::MultiRegions::ExpList::MultiplyByInvMassMatrix().
◆ v_UnsetGlobalLinSys()
|
overrideprotectedvirtual |
Clear all memory for GlobalLinSys including StaticCond Blocks and LocalMatrix Blocks. Avoids memory leakage if matrices are updated in time
Reimplemented from Nektar::MultiRegions::ExpList.
Definition at line 1035 of file ContField.cpp.
References GetGlobalLinSys(), Nektar::MultiRegions::ExpList::m_exp, and m_globalLinSysManager.
Member Data Documentation
◆ m_GJPData
|
protected |
Data for Gradient Jump Penalisation (GJP) stabilisaiton.
Definition at line 164 of file ContField.h.
Referenced by GetGJPForcing(), SetGJPForcing(), v_HelmSolve(), and v_LinearAdvectionDiffusionReactionSolve().
◆ m_globalLinSysManager
|
protected |
A manager which collects all the global linear systems being assembled, such that they should be constructed only once.
Definition at line 161 of file ContField.h.
Referenced by GetGlobalLinSys(), v_ClearGlobalLinSysManager(), v_GetPoolCount(), and v_UnsetGlobalLinSys().
◆ m_globalMat
|
protected |
(A shared pointer to) a list which collects all the global matrices being assembled, such that they should be constructed only once.
Definition at line 155 of file ContField.h.
Referenced by GetGlobalMatrix(), and GetGlobalMatrixNnz().
◆ m_locToGloMap
|
protected |
(A shared pointer to) the object which contains all the required information for the transformation from local to global degrees of freedom.
Definition at line 150 of file ContField.h.
Referenced by Assemble(), ContField(), GenGlobalLinSys(), GetGlobalMatrix(), GetLocalToGlobalMap(), GlobalSolve(), LaplaceSolve(), LinearAdvectionEigs(), v_FillBndCondFromField(), v_FwdTrans(), v_GlobalToLocal(), v_HelmSolve(), v_ImposeDirichletConditions(), v_LinearAdvectionDiffusionReactionSolve(), v_LinearAdvectionReactionSolve(), v_LocalToGlobal(), v_MultiplyByInvMassMatrix(), and v_SmoothField().
