AssemblyMapCG.h

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///////////////////////////////////////////////////////////////////////////////
//
// File: AssemblyMapCG.h
//
// For more information, please see: http://www.nektar.info
//
// The MIT License
//
// Copyright (c) 2006 Division of Applied Mathematics, Brown University (USA),
// Department of Aeronautics, Imperial College London (UK), and Scientific
// Computing and Imaging Institute, University of Utah (USA).
//
// Permission is hereby granted, free of charge, to any person obtaining a
// copy of this software and associated documentation files (the "Software"),
// to deal in the Software without restriction, including without limitation
// the rights to use, copy, modify, merge, publish, distribute, sublicense,
// and/or sell copies of the Software, and to permit persons to whom the
// Software is furnished to do so, subject to the following conditions:
//
// The above copyright notice and this permission notice shall be included
// in all copies or substantial portions of the Software.
//
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
// OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
// THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
// FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
// DEALINGS IN THE SOFTWARE.
//
// Description: C0-continuous Local to Global mapping routines, base class
//
///////////////////////////////////////////////////////////////////////////////
 
#ifndef MULTIREGIONS_ASSEMBLYMAPCG_H
#define MULTIREGIONS_ASSEMBLYMAPCG_H
 
#include <tuple>
 
#include <MultiRegions/AssemblyMap/AssemblyMap.h>
#include <MultiRegions/ExpList.h>
#include <MultiRegions/MultiRegionsDeclspec.h>
 
namespace Nektar
{
namespace MultiRegions
{
static std::map<int, int> NullIntIntMap;
const static std::vector<std::map<int, int>> NullVecIntIntMap;
 
class AssemblyMapCG;
typedef std::shared_ptr<AssemblyMapCG> AssemblyMapCGSharedPtr;
typedef std::tuple<int, int, NekDouble> ExtraDirDof;
 
typedef std::vector<std::map<int, int>> DofGraph;
 
MULTI_REGIONS_EXPORT
std::pair<int, StdRegions::Orientation> DeterminePeriodicEdgeOrientId(
    int meshEdgeId, StdRegions::Orientation edgeOrient,
    const std::vector<PeriodicEntity> &periodicEdges);
 
MULTI_REGIONS_EXPORT
StdRegions::Orientation DeterminePeriodicFaceOrient(
    StdRegions::Orientation faceOrient1, StdRegions::Orientation faceOrient2);
 
/// Constructs mappings for the C0 scalar continuous Galerkin formulation.
class AssemblyMapCG : public AssemblyMap
{
    typedef Array<OneD, const ExpListSharedPtr> BndCondExp;
    typedef Array<OneD, const SpatialDomains::BoundaryConditionShPtr> BndCond;
 
public:
    /// Default constructor.
    MULTI_REGIONS_EXPORT AssemblyMapCG(
        const LibUtilities::SessionReaderSharedPtr &pSession,
        const LibUtilities::CommSharedPtr &comm,
        const std::string variable = "DefaultVar");
 
    /// General constructor for expansions of all dimensions without
    /// boundary conditions.
    MULTI_REGIONS_EXPORT AssemblyMapCG(
        const LibUtilities::SessionReaderSharedPtr &pSession,
        const int numLocalCoeffs, const ExpList &locExp,
        const BndCondExp &bndCondExp = NullExpListSharedPtrArray,
        const BndCond &bndConditions =
            SpatialDomains::NullBoundaryConditionShPtrArray,
        const bool checkIfSingular       = false,
        const std::string variable       = "defaultVar",
        const PeriodicMap &periodicVerts = NullPeriodicMap,
        const PeriodicMap &periodicEdges = NullPeriodicMap,
        const PeriodicMap &periodicFaces = NullPeriodicMap);
 
    /// Destructor.
    MULTI_REGIONS_EXPORT virtual ~AssemblyMapCG();
 
    MULTI_REGIONS_EXPORT std::set<ExtraDirDof> &GetCopyLocalDirDofs()
    {
        return m_copyLocalDirDofs;
    }
 
    MULTI_REGIONS_EXPORT std::set<int> &GetParallelDirBndSign()
    {
        return m_parallelDirBndSign;
    }
 
protected:
    /// Integer map of local coeffs to global space
    Array<OneD, int> m_localToGlobalMap;
    /// Integer sign of local coeffs to global space
    Array<OneD, NekDouble> m_localToGlobalSign;
    /// Bandwith of the full matrix system (no static condensation).
    int m_fullSystemBandWidth;
    /// Integer map of process coeffs to universal space
    Array<OneD, int> m_globalToUniversalMap;
    /// Integer map of unique process coeffs to universal space (signed)
    Array<OneD, int> m_globalToUniversalMapUnique;
    /// Number of non Dirichlet vertex modes
    int m_numNonDirVertexModes;
    /// Number of non Dirichlet edge modes
    int m_numNonDirEdgeModes;
    /// Number of non Dirichlet face modes
    int m_numNonDirFaceModes;
    /// Number of Dirichlet edges
    int m_numDirEdges;
    /// Number of Dirichlet faces
    int m_numDirFaces;
    /// Number of Dirichlet edges
    int m_numNonDirEdges;
    /// Number of Dirichlet faces
    int m_numNonDirFaces;
    /// Number of local boundary condition coefficients
    int m_numLocalBndCondCoeffs;
    /// Extra dirichlet edges in parallel
    Array<OneD, int> m_extraDirEdges;
    /// Number of local boundary condition degrees of freedom.
    int m_numLocDirBndCondDofs;
    /// Maximum static condensation level.
    int m_maxStaticCondLevel;
    /// Set indicating degrees of freedom which are Dirichlet but whose
    /// value is stored on another processor.
    std::set<ExtraDirDof> m_copyLocalDirDofs;
    /// Set indicating the local coeffs just touching parallel
    /// dirichlet boundary that have a sign change
    std::set<int> m_parallelDirBndSign;
 
    MULTI_REGIONS_EXPORT int CreateGraph(
        const ExpList &locExp, const BndCondExp &bndCondExp,
        const Array<OneD, const BndCond> &bndConditions,
        const bool checkIfSystemSingular, const PeriodicMap &periodicVerts,
        const PeriodicMap &periodicEdges, const PeriodicMap &periodicFaces,
        DofGraph &graph, BottomUpSubStructuredGraphSharedPtr &bottomUpGraph,
        std::set<int> &extraDirVerts, std::set<int> &extraDirEdges,
        int &firstNonDirGraphVertId, int &nExtraDirichlet, int mdswitch = 1);
 
    void SetUpUniversalC0ContMap(const ExpList &locExp,
                                 const PeriodicMap &perVerts = NullPeriodicMap,
                                 const PeriodicMap &perEdges = NullPeriodicMap,
                                 const PeriodicMap &perFaces = NullPeriodicMap);
 
    /// Calculate the bandwith of the full matrix system.
    void CalculateFullSystemBandWidth();
 
    MULTI_REGIONS_EXPORT virtual int v_GetLocalToGlobalMap(
        const int i) const override;
 
    MULTI_REGIONS_EXPORT virtual int v_GetGlobalToUniversalMap(
        const int i) const override;
 
    MULTI_REGIONS_EXPORT virtual int v_GetGlobalToUniversalMapUnique(
        const int i) const override;
 
    MULTI_REGIONS_EXPORT virtual const Array<OneD, const int>
        &v_GetLocalToGlobalMap() override;
 
    MULTI_REGIONS_EXPORT virtual const Array<OneD, const int>
        &v_GetGlobalToUniversalMap() override;
 
    MULTI_REGIONS_EXPORT virtual const Array<OneD, const int>
        &v_GetGlobalToUniversalMapUnique() override;
 
    MULTI_REGIONS_EXPORT virtual NekDouble v_GetLocalToGlobalSign(
        const int i) const override;
 
    MULTI_REGIONS_EXPORT virtual const Array<OneD, NekDouble>
        &v_GetLocalToGlobalSign() const override;
 
    MULTI_REGIONS_EXPORT virtual void v_LocalToGlobal(
        const Array<OneD, const NekDouble> &loc, Array<OneD, NekDouble> &global,
        bool useComm) const override;
 
    MULTI_REGIONS_EXPORT virtual void v_LocalToGlobal(
        const NekVector<NekDouble> &loc, NekVector<NekDouble> &global,
        bool useComm) const override;
 
    MULTI_REGIONS_EXPORT virtual void v_GlobalToLocal(
        const Array<OneD, const NekDouble> &global,
        Array<OneD, NekDouble> &loc) const override;
 
    MULTI_REGIONS_EXPORT virtual void v_GlobalToLocal(
        const NekVector<NekDouble> &global,
        NekVector<NekDouble> &loc) const override;
 
    MULTI_REGIONS_EXPORT virtual void v_Assemble(
        const Array<OneD, const NekDouble> &loc,
        Array<OneD, NekDouble> &global) const override;
 
    MULTI_REGIONS_EXPORT virtual void v_Assemble(
        const NekVector<NekDouble> &loc,
        NekVector<NekDouble> &global) const override;
 
    MULTI_REGIONS_EXPORT virtual void v_UniversalAssemble(
        Array<OneD, NekDouble> &pGlobal) const override;
 
    MULTI_REGIONS_EXPORT virtual void v_UniversalAssemble(
        NekVector<NekDouble> &pGlobal) const override;
 
    MULTI_REGIONS_EXPORT virtual void v_UniversalAssemble(
        Array<OneD, NekDouble> &pGlobal, int offset) const override;
 
    MULTI_REGIONS_EXPORT virtual int v_GetFullSystemBandWidth() const override;
 
    MULTI_REGIONS_EXPORT virtual int v_GetNumNonDirVertexModes() const override;
 
    MULTI_REGIONS_EXPORT virtual int v_GetNumNonDirEdgeModes() const override;
 
    MULTI_REGIONS_EXPORT virtual int v_GetNumNonDirFaceModes() const override;
 
    MULTI_REGIONS_EXPORT virtual int v_GetNumDirEdges() const override;
 
    MULTI_REGIONS_EXPORT virtual int v_GetNumDirFaces() const override;
 
    MULTI_REGIONS_EXPORT virtual int v_GetNumNonDirEdges() const override;
 
    MULTI_REGIONS_EXPORT virtual int v_GetNumNonDirFaces() const override;
 
    MULTI_REGIONS_EXPORT virtual const Array<OneD, const int>
        &v_GetExtraDirEdges() override;
 
    MULTI_REGIONS_EXPORT virtual AssemblyMapSharedPtr v_LinearSpaceMap(
        const ExpList &locexp, GlobalSysSolnType solnType) override;
};
 
} // namespace MultiRegions
} // namespace Nektar
 
#endif // MULTIREGIONS_ASSEMBLYMAPCG_H