MCNABTimeIntegrationScheme.h

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///////////////////////////////////////////////////////////////////////////////
//
// File: MCNABTimeIntegrationScheme.h
//
// For more information, please see: http://www.nektar.info
//
// The MIT License
//
// Copyright (c) 2018 Division of Applied Mathematics, Brown University (USA),
// Department of Aeronautics, Imperial College London (UK), and Scientific
// Computing and Imaging Institute, University of Utah (USA).
//
// License for the specific language governing rights and limitations under
// 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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// FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
// DEALINGS IN THE SOFTWARE.
//
// Description: Header file of time integration scheme wrappers
//
///////////////////////////////////////////////////////////////////////////////
 
// Note : If adding a new integrator be sure to register the
// integrator with the Time Integration Scheme Facatory in
// SchemeInitializor.cpp.
 
#ifndef NEKTAR_LIB_UTILITIES_TIME_INTEGRATION_MCNAB_TIME_INTEGRATION_SCHEME
#define NEKTAR_LIB_UTILITIES_TIME_INTEGRATION_MCNAB_TIME_INTEGRATION_SCHEME
 
#define LUE LIB_UTILITIES_EXPORT
 
#include <LibUtilities/TimeIntegration/TimeIntegrationSchemeGLM.h>
 
namespace Nektar::LibUtilities
{
 
class MCNABTimeIntegrationScheme : public TimeIntegrationSchemeGLM
{
public:
    MCNABTimeIntegrationScheme(std::string variant, size_t order,
                               std::vector<NekDouble> freeParams)
        : TimeIntegrationSchemeGLM("", 2, freeParams)
    {
        boost::ignore_unused(variant, order);
 
        m_integration_phases    = TimeIntegrationAlgorithmGLMVector(3);
        m_integration_phases[0] = TimeIntegrationAlgorithmGLMSharedPtr(
            new TimeIntegrationAlgorithmGLM(this));
        m_integration_phases[1] = TimeIntegrationAlgorithmGLMSharedPtr(
            new TimeIntegrationAlgorithmGLM(this));
        m_integration_phases[2] = TimeIntegrationAlgorithmGLMSharedPtr(
            new TimeIntegrationAlgorithmGLM(this));
 
        IMEXdirkTimeIntegrationScheme::SetupSchemeData(
            m_integration_phases[0], 2, std::vector<NekDouble>{2, 2});
        IMEXdirkTimeIntegrationScheme::SetupSchemeData(
            m_integration_phases[1], 2, std::vector<NekDouble>{2, 2});
        MCNABTimeIntegrationScheme::SetupSchemeData(m_integration_phases[2]);
    }
 
    ~MCNABTimeIntegrationScheme() override = default;
 
    static TimeIntegrationSchemeSharedPtr create(
        [[maybe_unused]] std::string variant, [[maybe_unused]] size_t order,
        std::vector<NekDouble> freeParams)
    {
        TimeIntegrationSchemeSharedPtr p =
            MemoryManager<MCNABTimeIntegrationScheme>::AllocateSharedPtr(
                "", 2, freeParams);
 
        return p;
    }
 
    static std::string className;
 
    LUE static void SetupSchemeData(TimeIntegrationAlgorithmGLMSharedPtr &phase)
    {
        phase->m_schemeType = eIMEX;
        phase->m_order      = 2;
        phase->m_name =
            std::string("MCNABOrder" + std::to_string(phase->m_order));
 
        phase->m_numsteps  = 5;
        phase->m_numstages = 1;
 
        phase->m_A = Array<OneD, Array<TwoD, NekDouble>>(2);
        phase->m_B = Array<OneD, Array<TwoD, NekDouble>>(2);
 
        phase->m_A[0] =
            Array<TwoD, NekDouble>(phase->m_numstages, phase->m_numstages, 0.0);
        phase->m_B[0] =
            Array<TwoD, NekDouble>(phase->m_numsteps, phase->m_numstages, 0.0);
        phase->m_A[1] =
            Array<TwoD, NekDouble>(phase->m_numstages, phase->m_numstages, 0.0);
        phase->m_B[1] =
            Array<TwoD, NekDouble>(phase->m_numsteps, phase->m_numstages, 0.0);
        phase->m_U =
            Array<TwoD, NekDouble>(phase->m_numstages, phase->m_numsteps, 0.0);
        phase->m_V =
            Array<TwoD, NekDouble>(phase->m_numsteps, phase->m_numsteps, 0.0);
 
        phase->m_A[0][0][0] = 9.0 / 16.0;
        phase->m_B[0][0][0] = 9.0 / 16.0;
        phase->m_B[0][1][0] = 1.0;
 
        phase->m_B[1][3][0] = 1.0;
 
        phase->m_U[0][0] = 1.0;
        phase->m_U[0][1] = 6.0 / 16.0;
        phase->m_U[0][2] = 1.0 / 16.0;
        phase->m_U[0][3] = 24.0 / 16.0;
        phase->m_U[0][4] = -8.0 / 16.0;
 
        phase->m_V[0][0] = 1.0;
        phase->m_V[0][1] = 6.0 / 16.0;
        phase->m_V[0][2] = 1.0 / 16.0;
        phase->m_V[0][3] = 24.0 / 16.0;
        phase->m_V[0][4] = -8.0 / 16.0;
 
        phase->m_V[2][1] = 1.0;
        phase->m_V[4][3] = 1.0;
 
        phase->m_numMultiStepValues         = 1;
        phase->m_numMultiStepImplicitDerivs = 2;
        phase->m_numMultiStepExplicitDerivs = 2;
        phase->m_timeLevelOffset    = Array<OneD, size_t>(phase->m_numsteps);
        phase->m_timeLevelOffset[0] = 0;
        phase->m_timeLevelOffset[1] = 0;
        phase->m_timeLevelOffset[2] = 1;
        phase->m_timeLevelOffset[3] = 0;
        phase->m_timeLevelOffset[4] = 1;
 
        phase->CheckAndVerify();
    }
 
protected:
    LUE std::string v_GetName() const override
    {
        return std::string("MCNAB");
    }
 
    LUE NekDouble v_GetTimeStability() const override
    {
        return 1.0;
    }
 
}; // end class MCNABTimeIntegrationScheme
 
} // namespace Nektar::LibUtilities
 
#endif