UnsteadyViscousBurgers.h

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///////////////////////////////////////////////////////////////////////////////
//
// File: UnsteadyViscousBurgers.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: Unsteady advection-diffusion solve routines
//
///////////////////////////////////////////////////////////////////////////////
 
#ifndef NEKTAR_SOLVERS_ADRSOLVER_EQUATIONSYSTEMS_UNSTEADYADVECTIONDIFFUSION_H
#define NEKTAR_SOLVERS_ADRSOLVER_EQUATIONSYSTEMS_UNSTEADYADVECTIONDIFFUSION_H
 
#include <SolverUtils/AdvectionSystem.h>
#include <SolverUtils/Diffusion/Diffusion.h>
#include <SolverUtils/Forcing/Forcing.h>
#include <SolverUtils/RiemannSolvers/RiemannSolver.h>
#include <SolverUtils/UnsteadySystem.h>
 
using namespace Nektar::SolverUtils;
 
namespace Nektar
{
class UnsteadyViscousBurgers : public SolverUtils::AdvectionSystem
{
public:
    friend class MemoryManager<UnsteadyViscousBurgers>;
 
    /// Creates an instance of this class
    static SolverUtils::EquationSystemSharedPtr create(
        const LibUtilities::SessionReaderSharedPtr &pSession,
        const SpatialDomains::MeshGraphSharedPtr &pGraph)
    {
        SolverUtils::EquationSystemSharedPtr p =
            MemoryManager<UnsteadyViscousBurgers>::AllocateSharedPtr(pSession,
                                                                     pGraph);
        p->InitObject();
        return p;
    }
    /// Name of class
    static std::string className;
 
    /// Destructor
    virtual ~UnsteadyViscousBurgers();
 
protected:
    bool m_useSpecVanVisc;        // Use Spectral Vanishing Viscosity
    bool m_useSpecVanViscVarDiff; // Use Spectral Vanishing Viscosity with Moura
                                  // variable diffusion
    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, NekDouble> m_traceVn;
 
    /// Variable Coefficient map for the Laplacian which can be activated as
    /// part of SVV or otherwise
    StdRegions::VarCoeffMap m_varCoeffLap;
 
    // Plane (used only for Discontinous projection with 3DHomogenoeus1D
    // expansion)
    int m_planeNumber;
 
    /// Forcing terms
    std::vector<SolverUtils::ForcingSharedPtr> m_forcing;
 
    /// Session reader
    UnsteadyViscousBurgers(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
    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
    void DoImplicitSolve(
        const Array<OneD, const Array<OneD, NekDouble>> &inarray,
        Array<OneD, Array<OneD, NekDouble>> &outarray, NekDouble time,
        NekDouble lambda);
 
    /// Get the normal velocity
    Array<OneD, NekDouble> &GetNormalVelocity(
        Array<OneD, Array<OneD, NekDouble>> &inarray);
 
    /// Initialise the object
    virtual void v_InitObject(bool DeclareFields = true) override;
 
    /// Print Summary
    virtual void v_GenerateSummary(SolverUtils::SummaryList &s) override;
 
private:
    NekDouble m_waveFreq;
    NekDouble m_epsilon;
};
} // namespace Nektar
 
#endif