Expansion.h

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///////////////////////////////////////////////////////////////////////////////
//
// File Expansion.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
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// FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
// DEALINGS IN THE SOFTWARE.
//
// Description: Header file for Expansion routines
//
///////////////////////////////////////////////////////////////////////////////

#ifndef EXPANSION_H
#define EXPANSION_H

#include <StdRegions/StdExpansion.h>
#include <SpatialDomains/Geometry.h>
#include <SpatialDomains/GeomFactors.h>
#include <LocalRegions/LocalRegionsDeclspec.h>
#include <memory>
#include <vector>
#include <map>

namespace Nektar
{
    namespace LocalRegions 
    {

        class Expansion;
        class MatrixKey;

        enum MetricType
        {
            eMetricLaplacian00,
            eMetricLaplacian01,
            eMetricLaplacian02,
            eMetricLaplacian11,
            eMetricLaplacian12,
            eMetricLaplacian22,
            eMetricQuadrature
        };

        typedef std::shared_ptr<Expansion> ExpansionSharedPtr;
        typedef std::weak_ptr<Expansion> ExpansionWeakPtr;
        typedef std::vector< ExpansionSharedPtr > ExpansionVector;
        typedef std::map<MetricType, Array<OneD, NekDouble> > MetricMap;

        class Expansion : virtual public StdRegions::StdExpansion
        {
            public:
                LOCAL_REGIONS_EXPORT Expansion(SpatialDomains::GeometrySharedPtr pGeom); // default constructor.
                LOCAL_REGIONS_EXPORT Expansion(const Expansion &pSrc); // copy constructor.
                LOCAL_REGIONS_EXPORT virtual ~Expansion();

                LOCAL_REGIONS_EXPORT DNekScalMatSharedPtr GetLocMatrix(const LocalRegions::MatrixKey &mkey);

                LOCAL_REGIONS_EXPORT DNekScalMatSharedPtr GetLocMatrix(const StdRegions::MatrixType mtype,
                            const StdRegions::ConstFactorMap &factors = StdRegions::NullConstFactorMap,
                            const StdRegions::VarCoeffMap &varcoeffs = StdRegions::NullVarCoeffMap);

                LOCAL_REGIONS_EXPORT SpatialDomains::GeometrySharedPtr GetGeom() const;

                LOCAL_REGIONS_EXPORT void Reset();

                LOCAL_REGIONS_EXPORT const SpatialDomains::GeomFactorsSharedPtr& GetMetricInfo() const;

                LOCAL_REGIONS_EXPORT DNekMatSharedPtr BuildTransformationMatrix(
                    const DNekScalMatSharedPtr &r_bnd, 
                    const StdRegions::MatrixType matrixType);

                LOCAL_REGIONS_EXPORT DNekMatSharedPtr BuildVertexMatrix(
                    const DNekScalMatSharedPtr &r_bnd);
                LOCAL_REGIONS_EXPORT void ExtractDataToCoeffs(
                    const NekDouble *data,
                    const std::vector<unsigned int > &nummodes,
                    const int nmodes_offset,
                    NekDouble *coeffs,
                    std::vector<LibUtilities::BasisType> &fromType);
                LOCAL_REGIONS_EXPORT void AddEdgeNormBoundaryInt(
                    const int                           edge,
                    const std::shared_ptr<Expansion>   &EdgeExp,
                    const Array<OneD, const NekDouble> &Fx,
                    const Array<OneD, const NekDouble> &Fy,
                          Array<OneD,       NekDouble> &outarray);
                LOCAL_REGIONS_EXPORT void AddEdgeNormBoundaryInt(
                    const int                           edge,
                    const std::shared_ptr<Expansion>   &EdgeExp,
                    const Array<OneD, const NekDouble> &Fn,
                          Array<OneD,       NekDouble> &outarray);
                LOCAL_REGIONS_EXPORT void AddFaceNormBoundaryInt(
                    const int                           face,
                    const std::shared_ptr<Expansion>   &FaceExp,
                    const Array<OneD, const NekDouble> &Fn,
                          Array<OneD,       NekDouble> &outarray);
                LOCAL_REGIONS_EXPORT void DGDeriv(
                    const int                                   dir,
                    const Array<OneD, const NekDouble>&         inarray,
                          Array<OneD, ExpansionSharedPtr>      &EdgeExp,
                          Array<OneD, Array<OneD, NekDouble> > &coeffs,
                          Array<OneD,             NekDouble>   &outarray);
                LOCAL_REGIONS_EXPORT NekDouble VectorFlux(
                    const Array<OneD, Array<OneD, NekDouble > > &vec);

            protected:
                SpatialDomains::GeometrySharedPtr  m_geom;
                SpatialDomains::GeomFactorsSharedPtr m_metricinfo;
                MetricMap m_metrics;

                void ComputeLaplacianMetric();
                void ComputeQuadratureMetric();
                void ComputeGmatcdotMF(
                    const Array<TwoD, const NekDouble> &df,
                    const Array<OneD, const NekDouble> &direction,
                          Array<OneD, Array<OneD, NekDouble> > &dfdir);

                virtual void v_MultiplyByQuadratureMetric(
                    const Array<OneD, const NekDouble> &inarray,
                          Array<OneD,       NekDouble> &outarray);

                virtual void v_ComputeLaplacianMetric() {};

                virtual void v_GetCoords(
                    Array<OneD,NekDouble> &coords_1,
                    Array<OneD,NekDouble> &coords_2,
                    Array<OneD,NekDouble> &coords_3);

                Array<OneD, NekDouble> v_GetMF(
                    const int dir,
                    const int shapedim,
                    const StdRegions::VarCoeffMap &varcoeffs);

                Array<OneD, NekDouble> v_GetMFDiv(
                    const int dir,
                    const StdRegions::VarCoeffMap &varcoeffs);

                Array<OneD, NekDouble> v_GetMFMag(
                    const int dir,
                    const StdRegions::VarCoeffMap &varcoeffs);

                virtual DNekScalMatSharedPtr v_GetLocMatrix(
                    const LocalRegions::MatrixKey &mkey);

                virtual DNekMatSharedPtr v_BuildTransformationMatrix(
                    const DNekScalMatSharedPtr &r_bnd,
                    const StdRegions::MatrixType matrixType);

                virtual DNekMatSharedPtr v_BuildVertexMatrix(
                    const DNekScalMatSharedPtr &r_bnd);

                virtual void v_ExtractDataToCoeffs(
                    const NekDouble *data,
                    const std::vector<unsigned int > &nummodes,
                    const int nmodes_offset,
                    NekDouble *coeffs,
                    std::vector<LibUtilities::BasisType> &fromType);
                virtual void v_AddEdgeNormBoundaryInt(
                    const int                           edge,
                    const std::shared_ptr<Expansion>   &EdgeExp,
                    const Array<OneD, const NekDouble> &Fx,
                    const Array<OneD, const NekDouble> &Fy,
                          Array<OneD,       NekDouble> &outarray);
                virtual void v_AddEdgeNormBoundaryInt(
                    const int                           edge,
                    const std::shared_ptr<Expansion>   &EdgeExp,
                    const Array<OneD, const NekDouble> &Fn,
                          Array<OneD,       NekDouble> &outarray);
                virtual void v_AddFaceNormBoundaryInt(
                    const int                           face,
                    const std::shared_ptr<Expansion>   &FaceExp,
                    const Array<OneD, const NekDouble> &Fn,
                          Array<OneD,       NekDouble> &outarray);
                virtual void v_DGDeriv(
                    const int                                   dir,
                    const Array<OneD, const NekDouble>&         inarray,
                          Array<OneD, ExpansionSharedPtr>      &EdgeExp,
                          Array<OneD, Array<OneD, NekDouble> > &coeffs,
                          Array<OneD,             NekDouble>   &outarray);
                virtual NekDouble v_VectorFlux(
                    const Array<OneD, Array<OneD, NekDouble > > &vec);

            private:

        };
    } //end of namespace
} //end of namespace

#endif