UnsteadyAdvectionDiffusion.h

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///////////////////////////////////////////////////////////////////////////////
//
// File UnsteadyAdvectionDiffusion.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
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// DEALINGS IN THE SOFTWARE.
//
// Description: Unsteady advection-diffusion solve routines
//
///////////////////////////////////////////////////////////////////////////////

#ifndef NEKTAR_SOLVERS_ADRSOLVER_EQUATIONSYSTEMS_UNSTEADYADVECTIONDIFFUSION_H
#define NEKTAR_SOLVERS_ADRSOLVER_EQUATIONSYSTEMS_UNSTEADYADVECTIONDIFFUSION_H

#include <SolverUtils/UnsteadySystem.h>
#include <SolverUtils/RiemannSolvers/RiemannSolver.h>
#include <SolverUtils/AdvectionSystem.h>
#include <SolverUtils/Diffusion/Diffusion.h>

namespace Nektar
{
    class UnsteadyAdvectionDiffusion : public SolverUtils::AdvectionSystem
    {
    public:
        friend class MemoryManager<UnsteadyAdvectionDiffusion>;

        /// Creates an instance of this class
        static SolverUtils::EquationSystemSharedPtr create(
            const LibUtilities::SessionReaderSharedPtr& pSession,
            const SpatialDomains::MeshGraphSharedPtr& pGraph)
        {
            SolverUtils::EquationSystemSharedPtr p
                = MemoryManager<UnsteadyAdvectionDiffusion>::
                AllocateSharedPtr(pSession, pGraph);
            p->InitObject();
            return p;
        }
        /// Name of class
        static std::string className;

        /// Destructor
        virtual ~UnsteadyAdvectionDiffusion();

    protected:
        bool m_subSteppingScheme;
        bool m_useSpecVanVisc;
        NekDouble m_sVVCutoffRatio;   // cut off ratio from which to start decayhing modes
        NekDouble m_sVVDiffCoeff;     // Diffusion coefficient of SVV modes
        SolverUtils::RiemannSolverSharedPtr     m_riemannSolver;
        SolverUtils::DiffusionSharedPtr         m_diffusion;
        Array<OneD, Array<OneD, NekDouble> >    m_velocity;
        Array<OneD, NekDouble>                  m_traceVn;

        // Plane (used only for Discontinous projection
        //        with 3DHomogenoeus1D expansion)
        int                                     m_planeNumber;

        /// Session reader
        UnsteadyAdvectionDiffusion(
            const LibUtilities::SessionReaderSharedPtr& pSession,
            const SpatialDomains::MeshGraphSharedPtr& pGraph);

        /// Evaluate the flux at each solution point for the advection part
        void GetFluxVectorAdv(
            const Array<OneD, Array<OneD, NekDouble> >               &physfield,
                  Array<OneD, Array<OneD, Array<OneD, NekDouble> > > &flux);

        /// Evaluate the flux at each solution point for the diffusion part
        void GetFluxVectorDiff(
            const Array<OneD, Array<OneD, NekDouble> > &inarray,
            const Array<OneD, Array<OneD, Array<OneD, NekDouble> > >&qfield,
            Array<OneD, Array<OneD, Array<OneD, NekDouble> > >&viscousTensor);

        /// Compute the RHS
        virtual void DoOdeRhs(
            const Array<OneD, const  Array<OneD, NekDouble> >&inarray,
                  Array<OneD,        Array<OneD, NekDouble> >&outarray,
            const NekDouble time);

        /// Perform the projection
        void DoOdeProjection(
            const Array<OneD, const Array<OneD, NekDouble> > &inarray,
                  Array<OneD,       Array<OneD, NekDouble> > &outarray,
            const NekDouble time);

        /// Solve implicitly the diffusion term
        virtual void DoImplicitSolve(
            const Array<OneD, const Array<OneD, NekDouble> >&inarray,
                  Array<OneD,       Array<OneD, NekDouble> >&outarray,
            NekDouble time,
            NekDouble lambda);

        /// Get the normal velocity based on m_velocity
        Array<OneD, NekDouble> &GetNormalVelocity();

        /// Get the normal velocity based on input velfield
        Array<OneD, NekDouble> &GetNormalVel(
                          const Array<OneD, const Array<OneD, NekDouble> > &velfield);

        /// Initialise the object
        virtual void v_InitObject();

        /// Print Summary
        virtual void v_GenerateSummary(SolverUtils::SummaryList& s);

        /// PreIntegration step for substepping.
        virtual bool v_PreIntegrate(int step);

        // SubsStepping methods -> Probably could be set up in separate class
        void SubStepAdvance(const LibUtilities::TimeIntegrationSolutionSharedPtr &integrationSoln,
                            int nstep,  NekDouble time);
        NekDouble GetSubstepTimeStep();
        void SetUpSubSteppingTimeIntegration(int intMethod,
                         const LibUtilities::TimeIntegrationWrapperSharedPtr &IntegrationScheme);

        void SubStepAdvection(const Array<OneD, const Array<OneD, NekDouble> > &inarray,
                              Array<OneD, Array<OneD, NekDouble> > &outarray,
                              const NekDouble time);

        void SubStepProjection(const Array<OneD, const Array<OneD, NekDouble> > &inarray,
                               Array<OneD, Array<OneD, NekDouble> > &outarray,
                               const NekDouble time);

        void AddAdvectionPenaltyFlux(const Array<OneD, const Array<OneD, NekDouble> > &velfield,
                                     const Array<OneD, const Array<OneD, NekDouble> > &physfield,
                                     Array<OneD, Array<OneD, NekDouble> > &Outarray);


        Array<OneD, NekDouble> GetMaxStdVelocity(const Array<OneD, Array<OneD,NekDouble> > inarray);

        LibUtilities::TimeIntegrationWrapperSharedPtr m_subStepIntegrationScheme;
        LibUtilities::TimeIntegrationSchemeOperators  m_subStepIntegrationOps;

        int m_intSteps;

        NekDouble m_cflSafetyFactor;
        int       m_infosteps;
        int       m_minsubsteps;

    private:
        NekDouble m_waveFreq;
        NekDouble m_epsilon;
    };
}

#endif