C1PPUPhaseFlux.hpp

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/*
 * ------------------------------------------------------------------------------------------------------------
 * SPDX-License-Identifier: LGPL-2.1-only
 *
 * Copyright (c) 2016-2024 Lawrence Livermore National Security LLC
 * Copyright (c) 2018-2024 TotalEnergies
 * Copyright (c) 2018-2024 The Board of Trustees of the Leland Stanford Junior University
 * Copyright (c) 2023-2024 Chevron
 * Copyright (c) 2019-     GEOS/GEOSX Contributors
 * All rights reserved
 *
 * See top level LICENSE, COPYRIGHT, CONTRIBUTORS, NOTICE, and ACKNOWLEDGEMENTS files for details.
 * ------------------------------------------------------------------------------------------------------------
 */
 
#ifndef GEOS_PHYSICSSOLVERS_FLUIDFLOW_COMPOSITIONAL_C1PPUPHASEFLUX_HPP
#define GEOS_PHYSICSSOLVERS_FLUIDFLOW_COMPOSITIONAL_C1PPUPHASEFLUX_HPP
 
#include "common/DataLayouts.hpp"
#include "common/DataTypes.hpp"
#include "constitutive/fluid/multifluid/Layouts.hpp"
#include "constitutive/capillaryPressure/layouts.hpp"
#include "mesh/ElementRegionManager.hpp"
#include "physicsSolvers/fluidFlow/kernels/compositional/PotGrad.hpp"
 
 
namespace geos
{
 
namespace isothermalCompositionalMultiphaseFVMKernelUtilities
{
 
// TODO make input parameter
static constexpr real64 epsC1PPU = 5000;
 
template< typename VIEWTYPE >
using ElementViewConst = ElementRegionManager::ElementViewConst< VIEWTYPE >;
 
using Deriv = constitutive::multifluid::DerivativeOffset;
 
struct C1PPUPhaseFlux
{
  template< integer numComp, integer numFluxSupportPoints >
  GEOS_HOST_DEVICE
  static void
  compute( integer const numPhase,
           integer const ip,
           integer const hasCapPressure,
           integer const checkPhasePresenceInGravity,
           localIndex const ( &seri )[numFluxSupportPoints],
           localIndex const ( &sesri )[numFluxSupportPoints],
           localIndex const ( &sei )[numFluxSupportPoints],
           real64 const ( &trans )[2],
           real64 const ( &dTrans_dPres )[2],
           ElementViewConst< arrayView1d< real64 const > > const & pres,
           ElementViewConst< arrayView1d< real64 const > > const & gravCoef,
           ElementViewConst< arrayView2d< real64 const, compflow::USD_PHASE > > const & phaseMob,
           ElementViewConst< arrayView3d< real64 const, compflow::USD_PHASE_DC > > const & dPhaseMob,
           ElementViewConst< arrayView2d< real64 const, compflow::USD_PHASE > > const & phaseVolFrac,
           ElementViewConst< arrayView3d< real64 const, compflow::USD_PHASE_DC > > const & dPhaseVolFrac,
           ElementViewConst< arrayView3d< real64 const, compflow::USD_COMP_DC > > const & dCompFrac_dCompDens,
           ElementViewConst< arrayView3d< real64 const, constitutive::multifluid::USD_PHASE > > const & phaseMassDens,
           ElementViewConst< arrayView4d< real64 const, constitutive::multifluid::USD_PHASE_DC > > const & dPhaseMassDens,
           ElementViewConst< arrayView3d< real64 const, constitutive::cappres::USD_CAPPRES > > const & phaseCapPressure,
           ElementViewConst< arrayView4d< real64 const, constitutive::cappres::USD_CAPPRES_DS > > const & dPhaseCapPressure_dPhaseVolFrac,
           real64 & potGrad,
           real64 ( &phaseFlux ),
           real64 ( & dPhaseFlux_dP )[numFluxSupportPoints],
           real64 ( & dPhaseFlux_dC )[numFluxSupportPoints][numComp] )
  {
    real64 dPotGrad_dTrans = 0.0;
    real64 dPresGrad_dP[numFluxSupportPoints]{};
    real64 dPresGrad_dC[numFluxSupportPoints][numComp]{};
    real64 dGravHead_dP[numFluxSupportPoints]{};
    real64 dGravHead_dC[numFluxSupportPoints][numComp]{};
    PotGrad::compute< numComp, numFluxSupportPoints >( numPhase, ip, hasCapPressure, checkPhasePresenceInGravity,
                                                       seri, sesri, sei, trans, dTrans_dPres, pres, gravCoef,
                                                       phaseVolFrac, dPhaseVolFrac, dCompFrac_dCompDens, phaseMassDens, dPhaseMassDens,
                                                       phaseCapPressure, dPhaseCapPressure_dPhaseVolFrac,
                                                       potGrad, dPotGrad_dTrans, dPresGrad_dP,
                                                       dPresGrad_dC, dGravHead_dP, dGravHead_dC );
 
    // gravity head
    real64 gravHead = 0.0;
    for( integer i = 0; i < numFluxSupportPoints; i++ )
    {
      localIndex const er  = seri[i];
      localIndex const esr = sesri[i];
      localIndex const ei  = sei[i];
 
      real64 const gravD = trans[i] * gravCoef[er][esr][ei];
 
      gravHead += gravD;
    }
 
    // *** upwinding ***
 
    // phase flux and derivatives
 
    // assuming TPFA in the code below
 
    real64 Ttrans = fabs( trans[0] );
    potGrad = potGrad / Ttrans;
 
    real64 const mobility_i = phaseMob[seri[0]][sesri[0]][sei[0]][ip];
    real64 const mobility_j = phaseMob[seri[1]][sesri[1]][sei[1]][ip];
 
    // compute phase flux, see Eqs. (66) and (69) from the reference above
    real64 smoEps = epsC1PPU;
    if( fabs( gravHead ) <= 1e-20 )
      smoEps = 1000;
    real64 const tmpSqrt = sqrt( potGrad * potGrad + smoEps * smoEps );
    real64 const smoMax = 0.5 * (-potGrad + tmpSqrt);
 
    phaseFlux = Ttrans * ( potGrad * mobility_i - smoMax * (mobility_j - mobility_i) );
 
    // derivativess
 
    // first part, mobility derivative
 
    // dP
    {
      real64 const dMob_dP = dPhaseMob[seri[0]][sesri[0]][sei[0]][ip][Deriv::dP];
      dPhaseFlux_dP[0] += Ttrans * potGrad * dMob_dP;
    }
 
    // dC
    {
      arraySlice1d< real64 const, compflow::USD_PHASE_DC - 2 >
      dPhaseMobSub = dPhaseMob[seri[0]][sesri[0]][sei[0]][ip];
      for( integer jc = 0; jc < numComp; ++jc )
      {
        dPhaseFlux_dC[0][jc] += Ttrans * potGrad * dPhaseMobSub[Deriv::dC + jc];
      }
    }
 
    real64 const tmpInv = 1.0 / tmpSqrt;
    real64 const dSmoMax_x = 0.5 * (1.0 - potGrad * tmpInv);
 
    // pressure gradient and mobility difference depend on all points in the stencil
    real64 const dMobDiff_sign[numFluxSupportPoints] = {-1.0, 1.0};
    for( integer ke = 0; ke < numFluxSupportPoints; ++ke )
    {
      // dP
 
      real64 const dPotGrad_dP = dPresGrad_dP[ke] - dGravHead_dP[ke];
 
      // first part
      dPhaseFlux_dP[ke] += dPotGrad_dP * mobility_i;
 
      // second part
      real64 const dSmoMax_dP = -dPotGrad_dP * dSmoMax_x;
      dPhaseFlux_dP[ke] += -dSmoMax_dP * (mobility_j - mobility_i);
 
      real64 const dMob_dP = dPhaseMob[seri[ke]][sesri[ke]][sei[ke]][ip][Deriv::dP];
      dPhaseFlux_dP[ke] += -Ttrans * smoMax * dMobDiff_sign[ke] * dMob_dP;
 
      // dC
 
      arraySlice1d< real64 const, compflow::USD_PHASE_DC - 2 >
      dPhaseMobSub = dPhaseMob[seri[ke]][sesri[ke]][sei[ke]][ip];
 
      for( integer jc = 0; jc < numComp; ++jc )
      {
        real64 const dPotGrad_dC = dPresGrad_dC[ke][jc] - dGravHead_dC[ke][jc];
 
        // first part
        dPhaseFlux_dC[ke][jc] += dPotGrad_dC * mobility_i;
 
        // second part
        real64 const dSmoMax_dC = -dPotGrad_dC * dSmoMax_x;
        dPhaseFlux_dC[ke][jc] += -dSmoMax_dC * (mobility_j - mobility_i);
        dPhaseFlux_dC[ke][jc] += -Ttrans * smoMax * dMobDiff_sign[ke] * dPhaseMobSub[Deriv::dC + jc];
      }
    }
 
    potGrad = potGrad * Ttrans;
  }
};
 
} // namespace isothermalCompositionalMultiPhaseFVMKernelUtilities
 
} // namespace geos
 
 
#endif // GEOS_PHYSICSSOLVERS_FLUIDFLOW_COMPOSITIONAL_C1PPUPHASEFLUX_HPP