EDO_Pression_th_VDF_Gaz_Reel.cpp

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#include <EDO_Pression_th_VDF_Gaz_Reel.h>
#include <Fluide_Quasi_Compressible.h>
#include <Neumann_sortie_libre.h>
#include <Navier_Stokes_std.h>
#include <Schema_Temps_base.h>
#include <Domaine_Cl_VDF.h>
#include <Domaine_VDF.h>
#include <TRUSTTrav.h>
 
Implemente_instanciable(EDO_Pression_th_VDF_Gaz_Reel, "EDO_Pression_th_VDF_Gaz_Reel", EDO_Pression_th_VDF);
 
Sortie& EDO_Pression_th_VDF_Gaz_Reel::printOn(Sortie& os) const { return os << que_suis_je() << finl; }
 
Entree& EDO_Pression_th_VDF_Gaz_Reel::readOn(Entree& is) { return is; }
 
/*! @brief Solves the ODE for the thermodynamic pressure.
 *
 * @param Pth_n pressure at the previous time step
 * @return new value of the thermodynamic pressure
 */
double EDO_Pression_th_VDF_Gaz_Reel::resoudre(double Pth_n)
{
  const Domaine_VDF& dom = ref_cast(Domaine_VDF, le_dom.valeur());
  int n_bord;
  for (n_bord = 0; n_bord < dom.nb_front_Cl(); n_bord++)
    {
      const Cond_lim& la_cl = le_dom_Cl->les_conditions_limites(n_bord);
      if (sub_type(Neumann_sortie_libre, la_cl.valeur()))
        return Pth_n;
    }
 
  double Pth;
  const DoubleTab& tab_vit = ref_cast(Navier_Stokes_std,le_fluide_->vitesse().equation()).vitesse().valeurs();
  const DoubleTab& tab_hnp1 = le_fluide_->inco_chaleur().valeurs();       //current
  const DoubleTab& tab_hn = le_fluide_->inco_chaleur().passe();        //previous
  const DoubleTab& tab_rho = le_fluide_->masse_volumique().valeurs();    //current
  const OWN_PTR(Loi_Etat_base)& loi_ = le_fluide_->loi_etat();
  //const DoubleVect& tab_rhon = loi_->rho_n();                       //passe
 
  int elem, nb_elem = dom.nb_elem(), i;
  double V = 0; //domain measure
  double Fn = 0; //integral 1 at time step n
  double Fnp1 = 0; //integral 1 at time step n+1
  double S = 0; //right-hand side
 
  double dt = le_fluide_->vitesse().equation().schema_temps().pas_de_temps();
  double v, al, b, bnp1, hn, hnp1, divu;
 
  const IntTab& elem_faces = dom.elem_faces();
  DoubleTrav divU(tab_vit.dimension(0), 1);
  ref_cast(Navier_Stokes_std,le_fluide_->vitesse().equation()).operateur_divergence().calculer(tab_vit, divU);
  DoubleTrav gradh(tab_vit.dimension(0));
  DoubleTrav Hstar(tab_vit.dimension(0));
  for (elem = 0; elem < nb_elem; elem++)
    {
      Hstar(elem) = .5 * (tab_hn(elem) + tab_hnp1(elem));
    }
  calculer_grad(Hstar, gradh);
  DoubleTab u_gradh(nb_elem);
  int f1, f2;
  for (elem = 0; elem < nb_elem; elem++)
    {
      u_gradh(elem) = 0;
      for (i = 0; i < dimension; i++)
        {
          f1 = elem_faces(elem, i);
          f2 = elem_faces(elem, i + dimension);
          u_gradh(elem) += .25 * (gradh(f1) + gradh(f2)) * (tab_vit(f1) + tab_vit(f2));
        }
    }
 
  for (elem = 0; elem < nb_elem; elem++)
    {
      v = dom.volumes(elem);
      V += v;
      hn = tab_hn(elem);
      hnp1 = tab_hnp1(elem);
      al = loi_->Drho_DT(Pth_n, hn) / loi_->Drho_DP(Pth_n, hn);
      b = tab_rho(elem) / loi_->Drho_DP(Pth_n, hn);
      bnp1 = tab_rho(elem) / loi_->Drho_DP(Pth_n, hnp1);
      //S += al.dh/dt
      S -= v * al * ((hnp1 - hn) / dt);
      divu = divU(elem);
      //S -= al.u.gradT*
      S -= v * al * u_gradh(elem);
      //F += b.div(U)
      Fn += v * b * divu;
      Fnp1 += v * bnp1 * divu;
    }
 
  Pth = Pth_n + dt / V * (S - Fn);
  Pth = Pth_n + dt / V * (S - .5 * (Fn + Fnp1));
  double tmp = 0, r;
  int k = 0;
  while (std::fabs(tmp - Pth) / Pth > 1e-9 && k++ < 20)
    {
      tmp = Pth;
      Fnp1 = 0;
      for (elem = 0; elem < nb_elem; elem++)
        {
          v = dom.volumes(elem);
          hnp1 = tab_hnp1(elem);
          r = loi_->calculer_masse_volumique(Pth, hnp1);
          bnp1 = r / loi_->Drho_DP(Pth, hnp1);
          for (i = 0; i < dimension; i++)
            {
              Fnp1 += v * bnp1 * (tab_vit(elem_faces(elem, i + dimension)) - tab_vit(elem_faces(elem, i))) / dom.dim_elem(elem, i);
            }
        }
      Pth = Pth_n + dt / V * (S - .5 * (Fn + Fnp1));
      Cerr << "Recomputed thermodynamic pressure (iter " << k << ") = " << Pth << finl;
    }
  return Pth;
}