ChimeraTransformation.h

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//=======================================================================================
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//
//  This file is part of VirtualFluids. VirtualFluids is free software: you can
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//  License as published by the Free Software Foundation, either version 3 of
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//  SPDX-License-Identifier: GPL-3.0-or-later
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//=======================================================================================
#ifndef LBM_CHIMERA_H
#define LBM_CHIMERA_H
 
#include <basics/DataTypes.h>
 
#include <basics/constants/NumericConstants.h>
 
namespace vf::lbm
{
 
constexpr void forwardChimeraWithInverseK(real& mfa, real& mfb, real& mfc, real vv, real v2, real inverseK, real K)
{
    using namespace vf::basics::constant;
 
    const real m2 = mfa + mfc;
    const real m1 = mfc - mfa;
    real m0 = m2 + mfb;
 
    mfa = m0;
    m0 *= inverseK;
    m0 += c1o1;
    mfb = (m1 * inverseK - m0 * vv) * K;
    mfc = ((m2 - c2o1 * m1 * vv) * inverseK + v2 * m0) * K;
}
 
constexpr void backwardChimeraWithInverseK(real& mfa, real& mfb, real& mfc, real vv, real v2, real inverseK, real K)
{
    using namespace vf::basics::constant;
 
    const real m0 = (((mfc - mfb) * c1o2 + mfb * vv) * inverseK + (mfa * inverseK + c1o1) * (v2 - vv) * c1o2) * K;
    const real m1 = (((mfa - mfc) - c2o1 * mfb * vv) * inverseK + (mfa * inverseK + c1o1) * (-v2)) * K;
 
    mfc = (((mfc + mfb) * c1o2 + mfb * vv) * inverseK + (mfa * inverseK + c1o1) * (v2 + vv) * c1o2) * K;
    mfa = m0;
    mfb = m1;
}
 
constexpr void forwardChimera(real &mfa, real &mfb, real &mfc, real vv, real v2)
{
    using namespace vf::basics::constant;
 
    const real m1 = (mfa + mfc) + mfb;
    const real m2 = mfc - mfa;
 
    mfc = (mfc + mfa) + (v2 * m1 - c2o1 * vv * m2);
    mfb = m2 - vv * m1;
    mfa = m1;
}
 
constexpr void backwardChimera(real &mfa, real &mfb, real &mfc, real vv, real v2)
{
    using namespace vf::basics::constant;
 
    const real ma = (mfc + mfa * (v2 - vv)) * c1o2 + mfb * (vv - c1o2);
    const real mb = ((mfa - mfc) - mfa * v2) - c2o1 * mfb * vv;
 
    mfc = (mfc + mfa * (v2 + vv)) * c1o2 + mfb * (vv + c1o2);
    mfb = mb;
    mfa = ma;
}
 
constexpr void forwardChimeraWithK(real &mfa, real &mfb, real &mfc, real vv, real v2, real K)
{
    using namespace vf::basics::constant;
 
    const real m2 = mfa + mfc;
    const real m1 = mfc - mfa;
    const real m0 = m2 + mfb;
    mfa = m0;
    //m0     += K;
    mfb = (m1 - K * vv) - m0 * vv;
    mfc = ((m2 - c2o1*    m1 * vv) + v2 * K) + v2 * m0;
    //m0 += K;
    //mfb = m1 - m0 * vv;
    //mfc = m2 - two*    m1 * vv + v2 * m0;
}
 
constexpr void backwardChimeraWithK(real &mfa, real &mfb, real &mfc, real vv, real v2, real K)
{
    using namespace vf::basics::constant;
 
    const real  m0 = (mfc - mfb)* c1o2 + mfb * (vv)+(mfa + K) * (v2 - vv) * c1o2;
    const real m1 = (mfa - mfc) - c2o1* mfb * vv + (mfa + K) * (-v2);
    mfc = (mfc + mfb)* c1o2 + mfb * (vv)+(mfa + K) * (v2 + vv) * c1o2;
    mfa = m0;
    mfb = m1;
}
 
}
#endif