EulerTimeIntegrationSchemes.h

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///////////////////////////////////////////////////////////////////////////////
//
// File: EulerTimeIntegrationSchemes.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
// 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: Combined header file for all basic Euler based time integration
// schemes.
//
///////////////////////////////////////////////////////////////////////////////
 
// 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_EULER_TIME_INTEGRATION_SCHEME
#define NEKTAR_LIB_UTILITIES_TIME_INTEGRATION_EULER_TIME_INTEGRATION_SCHEME
 
#define LUE LIB_UTILITIES_EXPORT
 
#include <LibUtilities/TimeIntegration/TimeIntegrationSchemeGLM.h>
 
namespace Nektar::LibUtilities
{
 
///////////////////////////////////////////////////////////////////////////////
// Euler
 
class EulerTimeIntegrationScheme : public TimeIntegrationSchemeGLM
{
public:
    EulerTimeIntegrationScheme(std::string variant, size_t order,
                               std::vector<NekDouble> freeParams)
        : TimeIntegrationSchemeGLM(variant, 1, freeParams)
    {
        boost::ignore_unused(variant, order);
 
        ASSERTL1(variant == "Backward" || variant == "Forward",
                 "Euler Time integration scheme unknown variant: " + variant +
                     ". Must be 'Backward' or 'Forward'");
 
        m_integration_phases    = TimeIntegrationAlgorithmGLMVector(1);
        m_integration_phases[0] = TimeIntegrationAlgorithmGLMSharedPtr(
            new TimeIntegrationAlgorithmGLM(this));
 
        EulerTimeIntegrationScheme::SetupSchemeData(m_integration_phases[0],
                                                    variant);
    }
 
    ~EulerTimeIntegrationScheme() override
    {
    }
 
    static TimeIntegrationSchemeSharedPtr create(
        std::string variant, [[maybe_unused]] size_t order,
        std::vector<NekDouble> freeParams)
    {
        TimeIntegrationSchemeSharedPtr p =
            MemoryManager<EulerTimeIntegrationScheme>::AllocateSharedPtr(
                variant, 1, freeParams);
        return p;
    }
 
    static std::string className;
 
    LUE static void SetupSchemeData(TimeIntegrationAlgorithmGLMSharedPtr &phase,
                                    std::string variant)
    {
        double A = 0;
 
        if (variant == "Backward")
        {
            phase->m_schemeType = eDiagonallyImplicit;
 
            A = 1;
        }
        else if (variant == "Forward")
        {
            phase->m_schemeType = eExplicit;
 
            A = 0;
        }
 
        phase->m_variant = variant;
        phase->m_order   = 1;
        phase->m_name    = variant + std::string("EulerOrder") +
                        std::to_string(phase->m_order);
 
        phase->m_numsteps  = 1;
        phase->m_numstages = 1;
 
        phase->m_A = Array<OneD, Array<TwoD, NekDouble>>(1);
        phase->m_B = Array<OneD, Array<TwoD, NekDouble>>(1);
 
        phase->m_A[0] =
            Array<TwoD, NekDouble>(phase->m_numstages, phase->m_numstages, A);
        phase->m_B[0] =
            Array<TwoD, NekDouble>(phase->m_numsteps, phase->m_numstages, 1.0);
        phase->m_U =
            Array<TwoD, NekDouble>(phase->m_numstages, phase->m_numsteps, 1.0);
        phase->m_V =
            Array<TwoD, NekDouble>(phase->m_numsteps, phase->m_numsteps, 1.0);
 
        phase->m_numMultiStepValues         = 1;
        phase->m_numMultiStepImplicitDerivs = 0;
        phase->m_numMultiStepExplicitDerivs = 0;
        phase->m_timeLevelOffset    = Array<OneD, size_t>(phase->m_numsteps);
        phase->m_timeLevelOffset[0] = 0;
 
        phase->CheckAndVerify();
    }
 
protected:
    LUE std::string v_GetFullName() const override
    {
        return m_integration_phases.back()->m_name;
    }
 
    LUE std::string v_GetName() const override
    {
        return std::string("Euler");
    }
 
    LUE NekDouble v_GetTimeStability() const override
    {
        if (GetVariant() == "Backward")
        {
            return 1.0;
        }
        else
        {
            return 2.0;
        }
    }
 
}; // end class EulerTimeIntegrator
 
////////////////////////////////////////////////////////////////////////////////
// Backwards compatibility
class BackwardEulerTimeIntegrationScheme : public EulerTimeIntegrationScheme
{
public:
    BackwardEulerTimeIntegrationScheme(std::string variant, size_t order,
                                       std::vector<NekDouble> freeParams)
        : EulerTimeIntegrationScheme("Backward", 1, freeParams)
    {
        boost::ignore_unused(variant, order);
    }
 
    static TimeIntegrationSchemeSharedPtr create(
        [[maybe_unused]] std::string variant, [[maybe_unused]] size_t order,
        std::vector<NekDouble> freeParams)
    {
        TimeIntegrationSchemeSharedPtr p =
            MemoryManager<EulerTimeIntegrationScheme>::AllocateSharedPtr(
                "Backward", 1, freeParams);
        return p;
    }
 
    static std::string className;
 
protected:
    static std::string TimeIntegrationMethodLookupId;
 
}; // end class BackwardEulerTimeIntegrationScheme
 
class ForwardEulerTimeIntegrationScheme : public EulerTimeIntegrationScheme
{
public:
    ForwardEulerTimeIntegrationScheme(std::string variant, size_t order,
                                      std::vector<NekDouble> freeParams)
        : EulerTimeIntegrationScheme("Forward", 1, freeParams)
    {
        boost::ignore_unused(variant, order);
    }
 
    static TimeIntegrationSchemeSharedPtr create(
        [[maybe_unused]] std::string variant, [[maybe_unused]] size_t order,
        std::vector<NekDouble> freeParams)
    {
        TimeIntegrationSchemeSharedPtr p =
            MemoryManager<EulerTimeIntegrationScheme>::AllocateSharedPtr(
                "Forward", 1, freeParams);
        return p;
    }
 
    static std::string className;
 
protected:
    static std::string TimeIntegrationMethodLookupId;
 
}; // end class ForwardEulerTimeIntegrationScheme
 
} // namespace Nektar::LibUtilities
 
#endif