MMFDiffusion.h

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///////////////////////////////////////////////////////////////////////////////
//
// File: MMFDiffusion.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: MMFDiffusion
//
///////////////////////////////////////////////////////////////////////////////
 
#ifndef NEKTAR_SOLVERS_ADRSOLVER_EQUATIONSYSTEMS_MMFDIFFUSION_H
#define NEKTAR_SOLVERS_ADRSOLVER_EQUATIONSYSTEMS_MMFDIFFUSION_H
 
#include <SolverUtils/MMFSystem.h>
#include <SolverUtils/UnsteadySystem.h>
 
// using namespace Nektar::SolverUtils;
 
namespace Nektar
{
 
enum TestType
{
    eTestPlane,
    eTestCube,
    eTestLinearSphere,
    eTestNonlinearSphere,
    eFHNStandard,
    eFHNRogers,
    eFHNAlievPanf,
    SIZE_TestType ///< Length of enum list
};
 
const char *const TestTypeMap[] = {
    "TestPlane",   "TestCube",  "TestLinearSphere", "TestNonlinearSphere",
    "FHNStandard", "FHNRogers", "FHNAlievPanf",
};
 
enum InitWaveType
{
    eLeft,
    eBothEnds,
    eCenter,
    eLeftBottomCorner,
    ePoint,
    eSpiralDock,
    SIZE_InitWaveType ///< Length of enum list
};
 
const char *const InitWaveTypeMap[] = {
    "Left", "BothEnd", "Center", "LeftBottomCorner", "Point", "SpiralDock",
};
 
/// A model for cardiac conduction.
class MMFDiffusion : public SolverUtils::MMFSystem
{
public:
    friend class MemoryManager<MMFDiffusion>;
 
    /// Creates an instance of this class
    static SolverUtils::EquationSystemSharedPtr create(
        const LibUtilities::SessionReaderSharedPtr &pSession,
        const SpatialDomains::MeshGraphSharedPtr &pGraph)
    {
        SolverUtils::EquationSystemSharedPtr p =
            MemoryManager<MMFDiffusion>::AllocateSharedPtr(pSession, pGraph);
        p->InitObject();
        return p;
    }
 
    /// Name of class
    static std::string className;
 
    TestType m_TestType;
 
    /// Desctructor
    virtual ~MMFDiffusion();
 
protected:
    /// Constructor
    MMFDiffusion(const LibUtilities::SessionReaderSharedPtr &pSession,
                 const SpatialDomains::MeshGraphSharedPtr &pGraph);
 
    InitWaveType m_InitWaveType;
 
    virtual void v_InitObject(bool DeclareField = true) override;
 
    /// Solve for the diffusion term.
    void DoImplicitSolve(
        const Array<OneD, const Array<OneD, NekDouble>> &inarray,
        Array<OneD, Array<OneD, NekDouble>> &outarray, NekDouble time,
        NekDouble lambda);
 
    /// Computes the reaction terms \f$f(u,v)\f$ and \f$g(u,v)\f$.
    void DoOdeRhs(const Array<OneD, const Array<OneD, NekDouble>> &inarray,
                  Array<OneD, Array<OneD, NekDouble>> &outarray,
                  const NekDouble time);
 
    void TestPlaneProblem(const NekDouble time,
                          Array<OneD, NekDouble> &outfield);
 
    void TestCubeProblem(const NekDouble time,
                         Array<OneD, NekDouble> &outfield);
 
    void Morphogenesis(const NekDouble time, unsigned int field,
                       Array<OneD, NekDouble> &outfield);
 
    Array<OneD, NekDouble> PlanePhiWave();
 
    /// Sets a custom initial condition.
    virtual void v_SetInitialConditions(NekDouble initialtime,
                                        bool dumpInitialConditions,
                                        const int domain) override;
 
    /// Prints a summary of the model parameters.
    virtual void v_GenerateSummary(SolverUtils::SummaryList &s) override;
 
    virtual void v_EvaluateExactSolution(unsigned int field,
                                         Array<OneD, NekDouble> &outfield,
                                         const NekDouble time) override;
 
    NekDouble m_InitPtx, m_InitPty, m_InitPtz;
 
private:
    /// Variable diffusivity
    StdRegions::VarCoeffMap m_varcoeff;
 
    Array<OneD, NekDouble> m_epsilon;
    Array<OneD, NekDouble> m_epsu;
};
 
} // namespace Nektar
 
#endif