Cut_cell_schema_auxiliaire.cpp

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#include <Cut_cell_schema_auxiliaire.h>
#include <Cut_cell_FT_Disc.h>
#include <IJK_Thermal_base.h>
#include <Process.h>
#include <Probleme_FTD_IJK_cut_cell.h>
 
#include <IJK_Navier_Stokes_tools.h>
#include <IJK_Navier_Stokes_tools_cut_cell.h>
#include <Param.h>
 
Implemente_base_sans_constructeur(Cut_cell_schema_auxiliaire, "Cut_cell_schema_auxiliaire", Objet_U) ;
 
Cut_cell_schema_auxiliaire::Cut_cell_schema_auxiliaire()
{
  tolerate_not_within_tetrahedron_ = -1;
}
 
Sortie& Cut_cell_schema_auxiliaire::printOn(Sortie& os) const
{
  return os;
}
 
Entree& Cut_cell_schema_auxiliaire::readOn(Entree& is)
{
  Param param(que_suis_je());
  set_param(param);
  param.lire_avec_accolades(is);
  return is;
}
 
void Cut_cell_schema_auxiliaire::set_param(Param& param) const
{
  param.ajouter("methode_valeur_remplissage", (int*)&methode_valeur_remplissage_);
  param.dictionnaire("non_initialise",(int)METHODE_TEMPERATURE_REMPLISSAGE::NON_INITIALISE);
  param.dictionnaire("copie_directe", (int)METHODE_TEMPERATURE_REMPLISSAGE::COPIE_DIRECTE);
  param.dictionnaire("ponderation_voisin", (int)METHODE_TEMPERATURE_REMPLISSAGE::PONDERATION_VOISIN);
  param.dictionnaire("ponderation_directionnelle_voisin", (int)METHODE_TEMPERATURE_REMPLISSAGE::PONDERATION_DIRECTIONNELLE_VOISIN);
  param.dictionnaire("semi_lagrangien", (int)METHODE_TEMPERATURE_REMPLISSAGE::SEMI_LAGRANGIEN);
  param.dictionnaire("semi_lagrangien_interpolate", (int)METHODE_TEMPERATURE_REMPLISSAGE::SEMI_LAGRANGIEN_INTERPOLATE);
 
  param.ajouter("correction_petites_cellules", (int*)&correction_petites_cellules_);
  param.dictionnaire("correction_directe", (int)CORRECTION_PETITES_CELLULES::CORRECTION_DIRECTE);
  param.dictionnaire("direction_privilegiee", (int)CORRECTION_PETITES_CELLULES::DIRECTION_PRIVILEGIEE);
  param.dictionnaire("direction_privilegiee_2", (int)CORRECTION_PETITES_CELLULES::DIRECTION_PRIVILEGIEE_2);
  param.dictionnaire("correction_symetrique", (int)CORRECTION_PETITES_CELLULES::CORRECTION_SYMETRIQUE);
  param.dictionnaire("direction_privilegiee_avec_limitation", (int)CORRECTION_PETITES_CELLULES::DIRECTION_PRIVILEGIEE_AVEC_LIMITATION);
  param.dictionnaire("direction_privilegiee_avec_limitation_2", (int)CORRECTION_PETITES_CELLULES::DIRECTION_PRIVILEGIEE_AVEC_LIMITATION_2);
  param.dictionnaire("correction_symetrique_avec_limitation", (int)CORRECTION_PETITES_CELLULES::CORRECTION_SYMETRIQUE_AVEC_LIMITATION);
 
  param.ajouter("tolerate_not_within_tetrahedron", (int*)&tolerate_not_within_tetrahedron_);
}
 
void Cut_cell_schema_auxiliaire::initialise(Cut_cell_FT_Disc& cut_cell_disc)
{
  temperature_remplissage_.associer_ephemere(cut_cell_disc);
  flux_naive_.associer_ephemere(cut_cell_disc);
}
 
void Cut_cell_schema_auxiliaire::calcule_valeur_remplissage(double timestep, double lambda_liquid, double lambda_vapour, const IJK_Field_double& flux_interface_ns, const ArrOfDouble& interfacial_temperature, const IJK_Field_double& temperature_ft, const Cut_field_vector3_double& cut_field_total_velocity, const Cut_field_double& cut_field_temperature)
{
  if (methode_valeur_remplissage_ == METHODE_TEMPERATURE_REMPLISSAGE::COPIE_DIRECTE)
    {
      calcule_valeur_remplissage_copie_directe(cut_field_temperature, temperature_remplissage_);
    }
  else if (methode_valeur_remplissage_ == METHODE_TEMPERATURE_REMPLISSAGE::PONDERATION_VOISIN)
    {
      calcule_valeur_remplissage_ponderation_voisin(false, cut_field_total_velocity, cut_field_temperature, temperature_remplissage_);
    }
  else if (methode_valeur_remplissage_ == METHODE_TEMPERATURE_REMPLISSAGE::PONDERATION_DIRECTIONNELLE_VOISIN)
    {
      calcule_valeur_remplissage_ponderation_voisin(true, cut_field_total_velocity, cut_field_temperature, temperature_remplissage_);
    }
  else if (methode_valeur_remplissage_ == METHODE_TEMPERATURE_REMPLISSAGE::SEMI_LAGRANGIEN)
    {
      calcule_valeur_remplissage_semi_lagrangien(timestep, lambda_liquid, lambda_vapour, flux_interface_ns, cut_field_temperature, temperature_remplissage_);
    }
  else if (methode_valeur_remplissage_ == METHODE_TEMPERATURE_REMPLISSAGE::SEMI_LAGRANGIEN_INTERPOLATE)
    {
      calcule_valeur_remplissage_semi_lagrangien_interpolate(timestep, interfacial_temperature, temperature_ft, cut_field_temperature, temperature_remplissage_);
    }
  else
    {
      Cerr << "Methode non reconnue pour le calcul de la valeur de remplissage." << finl;
      Process::exit();
    }
}
 
void Cut_cell_schema_auxiliaire::compute_flux_dying_cells(const Cut_field_vector3_double& cut_field_total_velocity, const Cut_field_double& cut_field_temperature)
{
  const Cut_cell_FT_Disc& cut_cell_disc = cut_field_temperature.get_cut_cell_disc();
 
  const Domaine_IJK& geom = cut_cell_disc.get_domaine();
  const double delta_x = geom.get_constant_delta(0);
  const double delta_y = geom.get_constant_delta(1);
  const double delta_z = geom.get_constant_delta(2);
  assert(cut_cell_disc.get_domaine().is_uniform(0));
  assert(cut_cell_disc.get_domaine().is_uniform(1));
  assert(cut_cell_disc.get_domaine().is_uniform(2));
 
  int statut_diphasique = static_cast<int>(Cut_cell_FT_Disc::STATUT_DIPHASIQUE::MOURRANT);
  int index_min = cut_cell_disc.get_statut_diphasique_value_index(statut_diphasique);
  int index_max = cut_cell_disc.get_statut_diphasique_value_index(statut_diphasique+1);
  for (int index = index_min; index < index_max; index++)
    {
      int n = cut_cell_disc.get_n_from_statut_diphasique_index(index);
 
      Int3 ijk = cut_cell_disc.get_ijk(n);
      int i = ijk[0];
      int j = ijk[1];
      int k = ijk[2];
 
      if (!cut_cell_disc.get_domaine().within_ghost(i, j, k, 1, 1))
        continue;
 
      double old_indicatrice = cut_cell_disc.get_interfaces().I(i,j,k);
      double next_indicatrice = cut_cell_disc.get_interfaces().In(i,j,k);
      assert(cut_cell_disc.get_interfaces().est_pure(next_indicatrice));
      int phase = 1 - IJK_Interfaces::convert_indicatrice_to_phase(next_indicatrice); // phase de la cellule mourrante
 
 
 
      double flux[6] = {0};
      for (int num_face = 0; num_face < 6; num_face++)
        {
          int dir = num_face%3;
          int decalage = num_face/3;
          int sign = decalage*2 -1;
 
          int di_decale = sign*(dir == 0);
          int dj_decale = sign*(dir == 1);
          int dk_decale = sign*(dir == 2);
 
          double f_dir = select_dir(dir, delta_y*delta_z, delta_x*delta_z, delta_x*delta_y);
 
          double old_indicatrice_decale = cut_cell_disc.get_interfaces().I(i+di_decale,j+dj_decale,k+dk_decale);
          bool decale_also_dying = (cut_cell_disc.get_interfaces().phase_mourrante(phase, i+di_decale,j+dj_decale,k+dk_decale));
          bool decale_also_nascent = (cut_cell_disc.get_interfaces().phase_naissante(phase, i+di_decale,j+dj_decale,k+dk_decale));
          bool decale_smaller = (phase == 0) ? (1 - old_indicatrice_decale) < (1 - old_indicatrice) : (old_indicatrice_decale) < (old_indicatrice);
          if (decale_also_nascent || (decale_also_dying && decale_smaller))
            {
              flux[num_face] = 0;
            }
          else
            {
              flux[num_face] = f_dir*dying_cells_flux(num_face, phase, n, cut_field_total_velocity, cut_field_temperature);
            }
 
          flux_naive_(n,num_face) = flux[num_face];
        }
 
      // Correction du flux si aucun flux non-nul
      if ((std::abs(flux[0]) + std::abs(flux[1]) + std::abs(flux[2]) + std::abs(flux[3]) + std::abs(flux[4]) + std::abs(flux[5])) == 0)
        {
          for (int num_face = 0; num_face < 6; num_face++)
            {
              int dir = num_face%3;
              int decalage = num_face/3;
              int sign = decalage*2 -1;
 
              int di = decalage*(dir == 0);
              int dj = decalage*(dir == 1);
              int dk = decalage*(dir == 2);
              int di_decale = sign*(dir == 0);
              int dj_decale = sign*(dir == 1);
              int dk_decale = sign*(dir == 2);
 
              double f_dir = select_dir(dir, delta_y*delta_z, delta_x*delta_z, delta_x*delta_y);
 
              double old_indicatrice_decale = cut_cell_disc.get_interfaces().I(i+di_decale,j+dj_decale,k+dk_decale);
              bool decale_also_dying = (cut_cell_disc.get_interfaces().phase_mourrante(phase, i+di_decale,j+dj_decale,k+dk_decale));
              bool decale_also_nascent = (cut_cell_disc.get_interfaces().phase_naissante(phase, i+di_decale,j+dj_decale,k+dk_decale));
              bool decale_smaller = (phase == 0) ? (1 - old_indicatrice_decale) < (1 - old_indicatrice) : (old_indicatrice_decale) < (old_indicatrice);
              if (decale_also_nascent || (decale_also_dying && decale_smaller))
                {
                  flux[num_face] = 0;
                }
              else
                {
                  int n_face = cut_cell_disc.get_n_face(num_face, n, i, j, k);
                  if (n_face >= 0)
                    {
                      double surface_efficace = (phase == 0) ? 1 - cut_cell_disc.get_interfaces().get_indicatrice_surfacique_efficace_face()(n_face, dir) : cut_cell_disc.get_interfaces().get_indicatrice_surfacique_efficace_face()(n_face, dir);
                      if (surface_efficace > 0)
                        {
                          flux[num_face] = f_dir*surface_efficace;
                        }
                    }
                  else
                    {
                      double surface_efficace = (phase == 0) ? 1 - cut_cell_disc.get_interfaces().I(i+di,j+dj,k+dk) : cut_cell_disc.get_interfaces().I(i+di,j+dj,k+dk);
                      assert((surface_efficace == 0) || (surface_efficace == 1));
                      if (surface_efficace > 0)
                        {
                          flux[num_face] = f_dir*surface_efficace;
                        }
                    }
                }
 
              flux_naive_(n,num_face) = flux[num_face];
            }
        }
    }
}
 
void Cut_cell_schema_auxiliaire::compute_flux_small_nascent_cells(const Cut_field_vector3_double& cut_field_total_velocity, Cut_field_double& cut_field_temperature)
{
  const Cut_cell_FT_Disc& cut_cell_disc = cut_field_temperature.get_cut_cell_disc();
 
  const Domaine_IJK& geom = cut_cell_disc.get_domaine();
  const double delta_x = geom.get_constant_delta(DIRECTION_I);
  const double delta_y = geom.get_constant_delta(DIRECTION_J);
  const double delta_z = geom.get_constant_delta(DIRECTION_K);
  assert(geom.is_uniform(0));
  assert(geom.is_uniform(1));
  assert(geom.is_uniform(2));
 
  int statut_diphasique_naissant = static_cast<int>(Cut_cell_FT_Disc::STATUT_DIPHASIQUE::NAISSANT);
  int statut_diphasique_petit = static_cast<int>(Cut_cell_FT_Disc::STATUT_DIPHASIQUE::DESEQUILIBRE_FINAL);
  assert(statut_diphasique_petit == statut_diphasique_naissant + 1);
  int index_min = cut_cell_disc.get_statut_diphasique_value_index(statut_diphasique_naissant);
  int index_max = cut_cell_disc.get_statut_diphasique_value_index(statut_diphasique_petit+1);
  for (int index = index_min; index < index_max; index++)
    {
      int n = cut_cell_disc.get_n_from_statut_diphasique_index(index);
 
      Int3 ijk = cut_cell_disc.get_ijk(n);
      int i = ijk[0];
      int j = ijk[1];
      int k = ijk[2];
 
      if (!cut_cell_disc.get_domaine().within_ghost(i, j, k, 1, 1))
        continue;
 
      double old_indicatrice = cut_cell_disc.get_interfaces().I(i,j,k);
      double next_indicatrice = cut_cell_disc.get_interfaces().In(i,j,k);
      int est_naissant = cut_cell_disc.get_interfaces().est_pure(old_indicatrice);
      int phase = est_naissant ? 1 - IJK_Interfaces::convert_indicatrice_to_phase(old_indicatrice) : ((cut_cell_disc.get_interfaces().below_small_threshold(next_indicatrice)) ? 1 : 0); // phase de la cellule petite ou naissante
      assert(est_naissant || cut_cell_disc.get_interfaces().next_below_small_threshold_for_phase(phase, cut_cell_disc.get_interfaces().I(i,j,k), next_indicatrice));
 
 
 
      double flux[6] = {0};
      for (int num_face = 0; num_face < 6; num_face++)
        {
          int dir = num_face%3;
          int decalage = num_face/3;
          int sign = decalage*2 -1;
 
          int di_decale = sign*(dir == 0);
          int dj_decale = sign*(dir == 1);
          int dk_decale = sign*(dir == 2);
 
          double f_dir = select_dir(dir, delta_y*delta_z, delta_x*delta_z, delta_x*delta_y);
 
          double old_indicatrice_decale = cut_cell_disc.get_interfaces().I(i+di_decale,j+dj_decale,k+dk_decale);
          double next_indicatrice_decale = cut_cell_disc.get_interfaces().In(i+di_decale,j+dj_decale,k+dk_decale);
          bool decale_also_dying = (cut_cell_disc.get_interfaces().phase_mourrante(phase, i+di_decale,j+dj_decale,k+dk_decale));
          bool decale_nascent = (cut_cell_disc.get_interfaces().phase_naissante(phase, i+di_decale,j+dj_decale,k+dk_decale));
          bool decale_small = cut_cell_disc.get_interfaces().next_below_small_threshold_for_phase(phase, old_indicatrice_decale, next_indicatrice_decale);
          bool decale_smaller = (phase == 0) ? (1 - next_indicatrice_decale) < (1 - next_indicatrice) : (next_indicatrice_decale) < (next_indicatrice);
          if (decale_also_dying || (est_naissant && decale_nascent && decale_smaller) || ((!est_naissant) && decale_nascent) || ((!est_naissant) && decale_small && decale_smaller))
            {
              flux[num_face] = 0;
            }
          else
            {
              flux[num_face] = f_dir*small_nascent_cells_flux(num_face, phase, n, cut_field_total_velocity, cut_field_temperature);
            }
 
          flux_naive_(n,num_face) = flux[num_face];
        }
 
      // Correction du flux si aucun flux non-nul
      if ((std::abs(flux[0]) + std::abs(flux[1]) + std::abs(flux[2]) + std::abs(flux[3]) + std::abs(flux[4]) + std::abs(flux[5])) == 0)
        {
          for (int num_face = 0; num_face < 6; num_face++)
            {
              int dir = num_face%3;
              int decalage = num_face/3;
              int sign = decalage*2 -1;
 
              int di = decalage*(dir == 0);
              int dj = decalage*(dir == 1);
              int dk = decalage*(dir == 2);
              int di_decale = sign*(dir == 0);
              int dj_decale = sign*(dir == 1);
              int dk_decale = sign*(dir == 2);
 
              double f_dir = select_dir(dir, delta_y*delta_z, delta_x*delta_z, delta_x*delta_y);
 
              double old_indicatrice_decale = cut_cell_disc.get_interfaces().I(i+di_decale,j+dj_decale,k+dk_decale);
              double next_indicatrice_decale = cut_cell_disc.get_interfaces().In(i+di_decale,j+dj_decale,k+dk_decale);
              bool decale_also_dying = (cut_cell_disc.get_interfaces().phase_mourrante(phase, i+di_decale,j+dj_decale,k+dk_decale));
              bool decale_nascent = (cut_cell_disc.get_interfaces().phase_naissante(phase, i+di_decale,j+dj_decale,k+dk_decale));
              bool decale_small = cut_cell_disc.get_interfaces().next_below_small_threshold_for_phase(phase, old_indicatrice_decale, next_indicatrice_decale);
              bool decale_smaller = (phase == 0) ? (1 - next_indicatrice_decale) < (1 - next_indicatrice) : (next_indicatrice_decale) < (next_indicatrice);
              if (decale_also_dying || (est_naissant && decale_nascent && decale_smaller) || ((!est_naissant) && decale_nascent) || ((!est_naissant) && decale_small && decale_smaller))
                {
                  flux[num_face] = 0;
                }
              else
                {
                  int n_face = cut_cell_disc.get_n_face(num_face, n, i, j, k);
                  if (n_face >= 0)
                    {
                      double surface_efficace = (phase == 0) ? 1 - cut_cell_disc.get_interfaces().get_indicatrice_surfacique_efficace_face()(n_face, dir) : cut_cell_disc.get_interfaces().get_indicatrice_surfacique_efficace_face()(n_face, dir);
                      if (surface_efficace > 0)
                        {
                          flux[num_face] = f_dir*surface_efficace;
                        }
                    }
                  else
                    {
                      double surface_efficace = (phase == 0) ? 1 - cut_cell_disc.get_interfaces().In(i+di,j+dj,k+dk) : cut_cell_disc.get_interfaces().In(i+di,j+dj,k+dk);
                      assert((surface_efficace == 0) || (surface_efficace == 1));
                      if (surface_efficace > 0)
                        {
                          flux[num_face] = f_dir*surface_efficace;
                        }
                    }
                }
 
              flux_naive_(n,num_face) = flux[num_face];
            }
        }
    }
}
 
void Cut_cell_schema_auxiliaire::calcule_valeur_remplissage_copie_directe(const Cut_field_double& cut_field_temperature, DoubleTabFT_cut_cell_scalar& valeur_remplissage)
{
  const Cut_cell_FT_Disc& cut_cell_disc = cut_field_temperature.get_cut_cell_disc();
 
  int statut_diphasique_naissant = static_cast<int>(Cut_cell_FT_Disc::STATUT_DIPHASIQUE::NAISSANT);
  int statut_diphasique_petit = static_cast<int>(Cut_cell_FT_Disc::STATUT_DIPHASIQUE::DESEQUILIBRE_FINAL);
  assert(statut_diphasique_petit == statut_diphasique_naissant + 1);
  int index_min = cut_cell_disc.get_statut_diphasique_value_index(statut_diphasique_naissant);
  int index_max = cut_cell_disc.get_statut_diphasique_value_index(statut_diphasique_petit+1);
  for (int index = index_min; index < index_max; index++)
    {
      int n = cut_cell_disc.get_n_from_statut_diphasique_index(index);
 
      Int3 ijk = cut_cell_disc.get_ijk(n);
      int i = ijk[0];
      int j = ijk[1];
      int k = ijk[2];
 
      if (!cut_cell_disc.get_domaine().within_ghost(i, j, k, 1, 1))
        continue;
 
      double old_indicatrice = cut_cell_disc.get_interfaces().I(i,j,k);
      double next_indicatrice = cut_cell_disc.get_interfaces().In(i,j,k);
      int est_naissant = cut_cell_disc.get_interfaces().est_pure(old_indicatrice);
      int phase = est_naissant ? 1 - IJK_Interfaces::convert_indicatrice_to_phase(old_indicatrice) : ((cut_cell_disc.get_interfaces().below_small_threshold(next_indicatrice)) ? 1 : 0); // phase de la cellule petite ou naissante
 
      valeur_remplissage(n) = (phase == 0) ? cut_field_temperature.diph_v_(n) : cut_field_temperature.diph_l_(n);
    }
}
 
void Cut_cell_schema_auxiliaire::calcule_valeur_remplissage_ponderation_voisin(bool est_directionnel, const Cut_field_vector3_double& cut_field_total_velocity, const Cut_field_double& cut_field_temperature, DoubleTabFT_cut_cell_scalar& valeur_remplissage)
{
  const Cut_cell_FT_Disc& cut_cell_disc = cut_field_temperature.get_cut_cell_disc();
 
  const Domaine_IJK& geom = cut_cell_disc.get_domaine();
  const double delta_x = geom.get_constant_delta(0);
  const double delta_y = geom.get_constant_delta(1);
  const double delta_z = geom.get_constant_delta(2);
  assert(cut_cell_disc.get_domaine().is_uniform(0));
  assert(cut_cell_disc.get_domaine().is_uniform(1));
  assert(cut_cell_disc.get_domaine().is_uniform(2));
 
  int statut_diphasique_naissant = static_cast<int>(Cut_cell_FT_Disc::STATUT_DIPHASIQUE::NAISSANT);
  int statut_diphasique_petit = static_cast<int>(Cut_cell_FT_Disc::STATUT_DIPHASIQUE::DESEQUILIBRE_FINAL);
  assert(statut_diphasique_petit == statut_diphasique_naissant + 1);
  int index_min = cut_cell_disc.get_statut_diphasique_value_index(statut_diphasique_naissant);
  int index_max = cut_cell_disc.get_statut_diphasique_value_index(statut_diphasique_petit+1);
  for (int index = index_min; index < index_max; index++)
    {
      int n = cut_cell_disc.get_n_from_statut_diphasique_index(index);
 
      Int3 ijk = cut_cell_disc.get_ijk(n);
      int i = ijk[0];
      int j = ijk[1];
      int k = ijk[2];
 
      if (!cut_cell_disc.get_domaine().within_ghost(i, j, k, 1, 1))
        continue;
 
      double old_indicatrice = cut_cell_disc.get_interfaces().I(i,j,k);
      double next_indicatrice = cut_cell_disc.get_interfaces().In(i,j,k);
      int est_naissant = cut_cell_disc.get_interfaces().est_pure(old_indicatrice);
      int phase = est_naissant ? 1 - IJK_Interfaces::convert_indicatrice_to_phase(old_indicatrice) : ((cut_cell_disc.get_interfaces().below_small_threshold(next_indicatrice)) ? 1 : 0); // phase de la cellule petite ou naissante
      assert(est_naissant || cut_cell_disc.get_interfaces().next_below_small_threshold_for_phase(phase, cut_cell_disc.get_interfaces().I(i,j,k), next_indicatrice));
 
 
      double temp[6] = {0};
      double flux[6] = {0};
      double total_velocity[6] = {0};
      for (int num_face = 0; num_face < 6; num_face++)
        {
          int dir = num_face%3;
          int decalage = num_face/3;
          int sign = decalage*2 -1;
 
          int di = decalage*(dir == 0);
          int dj = decalage*(dir == 1);
          int dk = decalage*(dir == 2);
          int di_decale = sign*(dir == 0);
          int dj_decale = sign*(dir == 1);
          int dk_decale = sign*(dir == 2);
 
          double f_dir = select_dir(dir, delta_y*delta_z, delta_x*delta_z, delta_x*delta_y);
 
          double next_indicatrice_decale = cut_cell_disc.get_interfaces().In(i+di_decale,j+dj_decale,k+dk_decale);
 
          double temperature_decale = -1e37;
          int n_decale = cut_cell_disc.get_n(i+di_decale, j+dj_decale, k+dk_decale);
          if (n_decale >= 0)
            {
              temperature_decale = (phase == 0) ? cut_field_temperature.diph_v_(n_decale) : cut_field_temperature.diph_l_(n_decale);
            }
          else
            {
              temperature_decale = (phase == (IJK_Interfaces::convert_indicatrice_to_phase(next_indicatrice_decale)))*cut_field_temperature.pure_(i+di_decale,j+dj_decale,k+dk_decale);
            }
 
          total_velocity[num_face] = cut_field_total_velocity[dir].from_ijk_and_phase(i+di,j+dj,k+dk, phase);
 
          int n_face = cut_cell_disc.get_n_face(num_face, n, i, j, k);
          if (n_face >= 0)
            {
              double surface_efficace = (phase == 0) ? 1 - cut_cell_disc.get_interfaces().get_indicatrice_surfacique_efficace_face()(n_face, dir) : cut_cell_disc.get_interfaces().get_indicatrice_surfacique_efficace_face()(n_face, dir);
              double temperature = temperature_decale;
              flux[num_face] = -sign*f_dir*surface_efficace*temperature*total_velocity[num_face];
              if (est_directionnel)
                {
                  flux[num_face] = (flux[num_face] < 0) ? 0. : flux[num_face];
                }
              temp[num_face] = temperature;
            }
          else
            {
              double surface_efficace = (phase == 0) ? 1 - cut_cell_disc.get_interfaces().In(i+di,j+dj,k+dk) : cut_cell_disc.get_interfaces().In(i+di,j+dj,k+dk);
              assert((surface_efficace == 0) || (surface_efficace == 1));
              double temperature = temperature_decale;
              flux[num_face] = -sign*f_dir*surface_efficace*temperature*total_velocity[num_face];
              if (est_directionnel)
                {
                  flux[num_face] = (flux[num_face] < 0) ? 0. : flux[num_face];
                }
              temp[num_face] = temperature;
            }
        }
 
      // Correction du flux si aucun flux non-nul
      if ((std::abs(flux[0]) + std::abs(flux[1]) + std::abs(flux[2]) + std::abs(flux[3]) + std::abs(flux[4]) + std::abs(flux[5])) == 0)
        {
          for (int num_face = 0; num_face < 6; num_face++)
            {
              int dir = num_face%3;
              int decalage = num_face/3;
              int sign = decalage*2 -1;
 
              int di = decalage*(dir == 0);
              int dj = decalage*(dir == 1);
              int dk = decalage*(dir == 2);
              int di_decale = sign*(dir == 0);
              int dj_decale = sign*(dir == 1);
              int dk_decale = sign*(dir == 2);
 
              double f_dir = select_dir(dir, delta_y*delta_z, delta_x*delta_z, delta_x*delta_y);
 
              double next_indicatrice_decale = cut_cell_disc.get_interfaces().In(i+di_decale,j+dj_decale,k+dk_decale);
 
              double temperature_decale = -1e37;
              int n_decale = cut_cell_disc.get_n(i+di_decale, j+dj_decale, k+dk_decale);
              if (n_decale >= 0)
                {
                  temperature_decale = (phase == 0) ? cut_field_temperature.diph_v_(n_decale) : cut_field_temperature.diph_l_(n_decale);
                }
              else
                {
                  temperature_decale = (phase == (IJK_Interfaces::convert_indicatrice_to_phase(next_indicatrice_decale)))*cut_field_temperature.pure_(i+di_decale,j+dj_decale,k+dk_decale);
                }
 
              int n_face = cut_cell_disc.get_n_face(num_face, n, i, j, k);
              if (n_face >= 0)
                {
                  double surface_efficace = (phase == 0) ? 1 - cut_cell_disc.get_interfaces().get_indicatrice_surfacique_efficace_face()(n_face, dir) : cut_cell_disc.get_interfaces().get_indicatrice_surfacique_efficace_face()(n_face, dir);
                  double temperature = temperature_decale;
                  flux[num_face] = f_dir*surface_efficace*temperature;
                  temp[num_face] = temperature;
                }
              else
                {
                  double surface_efficace = (phase == 0) ? 1 - cut_cell_disc.get_interfaces().In(i+di,j+dj,k+dk) : cut_cell_disc.get_interfaces().In(i+di,j+dj,k+dk);
                  assert((surface_efficace == 0) || (surface_efficace == 1));
                  double temperature = temperature_decale;
                  flux[num_face] = f_dir*surface_efficace*temperature;
                  temp[num_face] = temperature;
                }
            }
        }
 
      if ((std::abs(total_velocity[0]) + std::abs(total_velocity[1]) + std::abs(total_velocity[2]) + std::abs(total_velocity[3]) + std::abs(total_velocity[4]) + std::abs(total_velocity[5])) == 0)
        {
          // All velocities are zero
          valeur_remplissage(n) = DMINFLOAT+1; // Dummy value to indicate that no filling should be made.
        }
      if ((std::abs(temp[0]) + std::abs(temp[1]) + std::abs(temp[2]) + std::abs(temp[3]) + std::abs(temp[4]) + std::abs(temp[5])) < 1e-37)
        {
          // It looks like the input field is constant zero. In that case, the filling value should be zero as well.
          valeur_remplissage(n) = 0;
        }
      else
        {
          double somme_T_flux = (temp[0]*std::abs(flux[0]) != 0.)*std::abs(flux[0]) + (temp[1]*std::abs(flux[1]) != 0.)*std::abs(flux[1]) + (temp[2]*std::abs(flux[2]) != 0.)*std::abs(flux[2]) + (temp[3]*std::abs(flux[3]) != 0.)*std::abs(flux[3]) + (temp[4]*std::abs(flux[4]) != 0.)*std::abs(flux[4]) + (temp[5]*std::abs(flux[5]) != 0.)*std::abs(flux[5]);
          assert(somme_T_flux != 0.);
          double val_remplissage = (temp[0]*std::abs(flux[0]) + temp[1]*std::abs(flux[1]) + temp[2]*std::abs(flux[2]) + temp[3]*std::abs(flux[3]) + temp[4]*std::abs(flux[4]) + temp[5]*std::abs(flux[5]))/somme_T_flux;
          valeur_remplissage(n) = val_remplissage;
        }
    }
}
 
void Cut_cell_schema_auxiliaire::calcule_valeur_remplissage_semi_lagrangien(double timestep, double lambda_liquid, double lambda_vapour, const IJK_Field_double& flux_interface_ns, const Cut_field_double& cut_field_temperature, DoubleTabFT_cut_cell_scalar& valeur_remplissage)
{
  const Cut_cell_FT_Disc& cut_cell_disc = cut_field_temperature.get_cut_cell_disc();
  const IJK_Field_double& surface_interface_old = cut_cell_disc.get_interfaces().get_surface_interface_old();
 
  double dx = cut_cell_disc.get_domaine().get_constant_delta(0);
  double dy = cut_cell_disc.get_domaine().get_constant_delta(1);
  double dz = cut_cell_disc.get_domaine().get_constant_delta(2);
 
  int statut_diphasique_naissant = static_cast<int>(Cut_cell_FT_Disc::STATUT_DIPHASIQUE::NAISSANT);
  int statut_diphasique_petit = static_cast<int>(Cut_cell_FT_Disc::STATUT_DIPHASIQUE::DESEQUILIBRE_FINAL);
  assert(statut_diphasique_petit == statut_diphasique_naissant + 1);
  int index_min = cut_cell_disc.get_statut_diphasique_value_index(statut_diphasique_naissant);
  int index_max = cut_cell_disc.get_statut_diphasique_value_index(statut_diphasique_petit+1);
  for (int index = index_min; index < index_max; index++)
    {
      int n = cut_cell_disc.get_n_from_statut_diphasique_index(index);
 
      Int3 ijk = cut_cell_disc.get_ijk(n);
      int i = ijk[0];
      int j = ijk[1];
      int k = ijk[2];
 
      if (!cut_cell_disc.get_domaine().within_ghost(i, j, k, 1, 1))
        continue;
 
      double next_indicatrice = cut_cell_disc.get_interfaces().In(i,j,k);
      int est_naissant = cut_cell_disc.get_interfaces().est_pure(cut_cell_disc.get_interfaces().I(i,j,k));
      int phase = est_naissant ? 1 - IJK_Interfaces::convert_indicatrice_to_phase(cut_cell_disc.get_interfaces().I(i,j,k)) : ((cut_cell_disc.get_interfaces().below_small_threshold(next_indicatrice)) ? 1 : 0); // phase de la cellule petite ou naissante
 
      double normal_x = cut_cell_disc.get_interfaces().get_normale_deplacement_interface()(n,0);
      double normal_y = cut_cell_disc.get_interfaces().get_normale_deplacement_interface()(n,1);
      double normal_z = cut_cell_disc.get_interfaces().get_normale_deplacement_interface()(n,2);
 
      double velocity_x = cut_cell_disc.get_interfaces().get_vitesse_deplacement_interface()(n,0);
      double velocity_y = cut_cell_disc.get_interfaces().get_vitesse_deplacement_interface()(n,1);
      double velocity_z = cut_cell_disc.get_interfaces().get_vitesse_deplacement_interface()(n,2);
 
      double next_bary_x = dx*cut_cell_disc.get_interfaces().get_barycentre(true, 0, phase, i,j,k);
      double next_bary_y = dy*cut_cell_disc.get_interfaces().get_barycentre(true, 1, phase, i,j,k);
      double next_bary_z = dz*cut_cell_disc.get_interfaces().get_barycentre(true, 2, phase, i,j,k);
 
      double next_bary_deplace_x = next_bary_x - velocity_x*timestep;
      double next_bary_deplace_y = next_bary_y - velocity_y*timestep;
      double next_bary_deplace_z = next_bary_z - velocity_z*timestep;
 
      int i_old = i + static_cast <int>(std::floor(next_bary_deplace_x/dx));
      int j_old = j + static_cast <int>(std::floor(next_bary_deplace_y/dy));
      int k_old = k + static_cast <int>(std::floor(next_bary_deplace_z/dz));
      assert(i-i_old >= -1 && i-i_old <= 1);
      assert(j-j_old >= -1 && j-j_old <= 1);
      assert(k-k_old >= -1 && k-k_old <= 1);
 
      // En raison du seuil sur l'indicatrice, il est possible que la cellule_old corresponde a la cellule initiale
      // bien que celle-ci soit consideree comme naissante.
      // Dans ce cas, on utilise un voisin ; qui pourra fournir une temperature de reference.
      if (est_naissant && (i_old == i) && (j_old == j) && (k_old == k))
        {
          double ecart_x = std::abs(next_bary_deplace_x/dx - std::round(next_bary_deplace_x/dx));
          double ecart_y = std::abs(next_bary_deplace_y/dy - std::round(next_bary_deplace_y/dy));
          double ecart_z = std::abs(next_bary_deplace_z/dz - std::round(next_bary_deplace_z/dz));
          int direction_a_modifier = (ecart_x <= ecart_y && ecart_x <= ecart_z) ? 0 : ((ecart_y <= ecart_x && ecart_y <= ecart_z) ? 1 : 2);
          double next_bary_deplace_normalise = select_dir(direction_a_modifier, next_bary_deplace_x/dx, next_bary_deplace_y/dy, next_bary_deplace_z/dz);
          bool ajout_positif = std::floor(next_bary_deplace_normalise) > .5;
 
          if (direction_a_modifier == 0)
            {
              i_old += (2*ajout_positif - 1);
            }
          else if (direction_a_modifier == 1)
            {
              j_old += (2*ajout_positif - 1);
            }
          else if (direction_a_modifier == 2)
            {
              k_old += (2*ajout_positif - 1);
            }
        }
 
      int n_old = cut_cell_disc.get_n(i_old,j_old,k_old);
 
      double old_bary_x = dx*((i_old - i) + cut_cell_disc.get_interfaces().get_barycentre(false, 0, phase, i_old,j_old,k_old));
      double old_bary_y = dy*((j_old - j) + cut_cell_disc.get_interfaces().get_barycentre(false, 1, phase, i_old,j_old,k_old));
      double old_bary_z = dz*((k_old - k) + cut_cell_disc.get_interfaces().get_barycentre(false, 2, phase, i_old,j_old,k_old));
 
      if (n_old < 0)
        {
          Cerr << "Dans Cut_cell_schema_auxiliaire::calcule_valeur_remplissage_semi_lagrangien, on a n_old < 0." << finl;
          Cerr << "Ce cas est normalement pas possible mais pourrait peut-etre survenir a cause de la correction avec 'est_naissant && (i_old == i) && (j_old == j) && (k_old == k)'" << finl;
          Cerr << "Verification : est_naissant=" << est_naissant << " i=" << i << " j=" << j << " k=" << k << " i_old=" << i_old << " j_old=" << j_old << " k_old=" << k_old << finl;
          //Process::exit();
        }
 
      double temperature_old = (n_old < 0) ? cut_field_temperature.pure_(i_old,j_old,k_old) : ((phase == 0) ? cut_field_temperature.diph_v_(n_old) : cut_field_temperature.diph_l_(n_old));
      double temperature_next = (phase == 0) ? cut_field_temperature.diph_v_(n) : cut_field_temperature.diph_l_(n);
      if (temperature_next == 0.)
        {
          assert(temperature_old != 0);
        }
      assert(temperature_old != 0);
 
      assert((flux_interface_ns(i,j,k) == 0.) || (surface_interface_old(i,j,k) != 0.)); // La surface ne devrait pas etre nulle si il y a un flux
      double lambda = (phase == 0) ? lambda_vapour : lambda_liquid;
      double dTdn = (flux_interface_ns(i,j,k) == 0.) ? 0. : flux_interface_ns(i,j,k)/(lambda * surface_interface_old(i,j,k));
      assert((flux_interface_ns(i,j,k) == 0.) || (surface_interface_old(i,j,k) != 0));
      valeur_remplissage(n) = temperature_old + dTdn * ((next_bary_deplace_x - old_bary_x)*normal_x + (next_bary_deplace_y - old_bary_y)*normal_y + (next_bary_deplace_z - old_bary_z)*normal_z);
    }
}
 
void Cut_cell_schema_auxiliaire::calcule_valeur_remplissage_semi_lagrangien_interpolate(double timestep, const ArrOfDouble& interfacial_temperature, const IJK_Field_double& temperature_ft, const Cut_field_double& cut_field_temperature, DoubleTabFT_cut_cell_scalar& valeur_remplissage)
{
  const Cut_cell_FT_Disc& cut_cell_disc = cut_field_temperature.get_cut_cell_disc();
 
  int count_status_not_found = 0;
  int count_status_below_10 = 0;
  int count_status_below_100 = 0;
  int count_status_below_1000 = 0;
  int count_status_below_10000 = 0;
  int count_status_below_100000 = 0;
  int count_status_below_1000000 = 0;
  int count_status_above_1000000 = 0;
 
  double dx = cut_cell_disc.get_domaine().get_constant_delta(0);
  double dy = cut_cell_disc.get_domaine().get_constant_delta(1);
  double dz = cut_cell_disc.get_domaine().get_constant_delta(2);
 
  int statut_diphasique_naissant = static_cast<int>(Cut_cell_FT_Disc::STATUT_DIPHASIQUE::NAISSANT);
  int statut_diphasique_petit = static_cast<int>(Cut_cell_FT_Disc::STATUT_DIPHASIQUE::DESEQUILIBRE_FINAL);
  assert(statut_diphasique_petit == statut_diphasique_naissant + 1);
  int index_min = cut_cell_disc.get_statut_diphasique_value_index(statut_diphasique_naissant);
  int index_max = cut_cell_disc.get_statut_diphasique_value_index(statut_diphasique_petit+1);
  for (int index = index_min; index < index_max; index++)
    {
      int n = cut_cell_disc.get_n_from_statut_diphasique_index(index);
 
      Int3 ijk = cut_cell_disc.get_ijk(n);
      int i = ijk[0];
      int j = ijk[1];
      int k = ijk[2];
 
      if (!cut_cell_disc.get_domaine().within_ghost(i, j, k, 1, 1))
        continue;
 
      double next_indicatrice = cut_cell_disc.get_interfaces().In(i,j,k);
      int est_naissant = cut_cell_disc.get_interfaces().est_pure(cut_cell_disc.get_interfaces().I(i,j,k));
      int phase = est_naissant ? 1 - IJK_Interfaces::convert_indicatrice_to_phase(cut_cell_disc.get_interfaces().I(i,j,k)) : ((cut_cell_disc.get_interfaces().below_small_threshold(next_indicatrice)) ? 1 : 0); // phase de la cellule petite ou naissante
 
      double velocity_x = cut_cell_disc.get_interfaces().get_vitesse_deplacement_interface()(n,0);
      double velocity_y = cut_cell_disc.get_interfaces().get_vitesse_deplacement_interface()(n,1);
      double velocity_z = cut_cell_disc.get_interfaces().get_vitesse_deplacement_interface()(n,2);
 
      double next_bary_x = dx*cut_cell_disc.get_interfaces().get_barycentre(true, 0, phase, i,j,k);
      double next_bary_y = dy*cut_cell_disc.get_interfaces().get_barycentre(true, 1, phase, i,j,k);
      double next_bary_z = dz*cut_cell_disc.get_interfaces().get_barycentre(true, 2, phase, i,j,k);
 
      double next_bary_deplace_x = next_bary_x - velocity_x*timestep;
      double next_bary_deplace_y = next_bary_y - velocity_y*timestep;
      double next_bary_deplace_z = next_bary_z - velocity_z*timestep;
 
      double coordinates_x = next_bary_deplace_x + cut_cell_disc.get_domaine().get_coord_of_dof_along_dir(DIRECTION_I, i, Domaine_IJK::NODES);
      double coordinates_y = next_bary_deplace_y + cut_cell_disc.get_domaine().get_coord_of_dof_along_dir(DIRECTION_J, j, Domaine_IJK::NODES);
      double coordinates_z = next_bary_deplace_z + cut_cell_disc.get_domaine().get_coord_of_dof_along_dir(DIRECTION_K, k, Domaine_IJK::NODES);
      Vecteur3 coordinates(coordinates_x, coordinates_y, coordinates_z);
 
      int status = -2;
      const int tolerate_not_within_tetrahedron = std::max(1, tolerate_not_within_tetrahedron_);
      double temperature_interpolate = ijk_interpolate_cut_cell_using_interface(false, phase, temperature_ft, cut_field_temperature, interfacial_temperature, coordinates, tolerate_not_within_tetrahedron, status);
      valeur_remplissage(n) = temperature_interpolate;
 
      if (status == -1)
        {
          Cerr << "DEBUG status=-1 T_remplissage=" << valeur_remplissage(n) << finl;
        }
 
      assert(status > -2);
      if (status == -1)
        {
          count_status_not_found++;
        }
      else if (status < 10)
        {
          count_status_below_10++;
        }
      else if (status < 100)
        {
          count_status_below_100++;
        }
      else if (status < 1000)
        {
          count_status_below_1000++;
        }
      else if (status < 10000)
        {
          count_status_below_10000++;
        }
      else if (status < 100000)
        {
          count_status_below_100000++;
        }
      else if (status < 1000000)
        {
          count_status_below_1000000++;
        }
      else if (status >= 1000000)
        {
          count_status_above_1000000++;
        }
      else
        {
          Cerr << "Un tel statut n'est pas possible." << finl;
          Process::exit();
        }
    }
 
  Cerr << "Bilan des statuts pour Cut_cell_schema_auxiliaire::calcule_valeur_remplissage_semi_lagrangien_interpolate : " << finl;
  Cerr << "    -1      " << count_status_not_found  << finl;
  Cerr << "   <10      " << count_status_below_10   << finl;
  Cerr << "  <100      " << count_status_below_100  << finl;
  Cerr << " <1000      " << count_status_below_1000 << finl;
  Cerr << " <10000     " << count_status_below_10000 << finl;
  Cerr << " <100000    " << count_status_below_100000 << finl;
  Cerr << " <1000000   " << count_status_below_1000000 << finl;
  Cerr << ">=1000000   " << count_status_above_1000000 << finl;
}
 
void Cut_cell_schema_auxiliaire::add_dying_cells(const Cut_field_vector3_double& cut_field_total_velocity, Cut_field_double& cut_field_temperature, bool write_flux, Cut_field_vector3_double& cut_field_current_fluxes)
{
  const Cut_cell_FT_Disc& cut_cell_disc = cut_field_temperature.get_cut_cell_disc();
 
  assert(cut_cell_disc.get_domaine().is_uniform(0));
  assert(cut_cell_disc.get_domaine().is_uniform(1));
  assert(cut_cell_disc.get_domaine().is_uniform(2));
 
  int statut_diphasique = static_cast<int>(Cut_cell_FT_Disc::STATUT_DIPHASIQUE::MOURRANT);
  int index_min = cut_cell_disc.get_statut_diphasique_value_index(statut_diphasique);
  int index_max = cut_cell_disc.get_statut_diphasique_value_index(statut_diphasique+1);
  for (int index = index_min; index < index_max; index++)
    {
      int n = cut_cell_disc.get_n_from_statut_diphasique_index(index);
 
      Int3 ijk = cut_cell_disc.get_ijk(n);
      int i = ijk[0];
      int j = ijk[1];
      int k = ijk[2];
 
      if (!cut_cell_disc.get_domaine().within_ghost(i, j, k, 1, 1))
        continue;
 
      double next_indicatrice = cut_cell_disc.get_interfaces().In(i,j,k);
      assert(cut_cell_disc.get_interfaces().est_pure(next_indicatrice));
      int phase = 1 - IJK_Interfaces::convert_indicatrice_to_phase(next_indicatrice); // phase de la cellule mourrante
 
      // Cette variable next_nonzero_indicatrice est utilisee plutot que old_indicatrice,
      // par coherence avec l'indicatrice des cellules voisines, qui peut-etre est next mais
      // peut-etre est egalement old si elle est egalement mourrante.
      double next_nonzero_indicatrice = cut_cell_disc.get_interfaces().In_nonzero(phase,i,j,k);
      assert(next_nonzero_indicatrice == ((phase == 0) ? 1 - cut_cell_disc.get_interfaces().I(i,j,k) : cut_cell_disc.get_interfaces().I(i,j,k)));
 
      double temperature_centre = (phase == 0) ? cut_field_temperature.diph_v_(n) : cut_field_temperature.diph_l_(n);
 
      if (std::abs(temperature_centre) < 1e-24)
        {
          continue;
        }
 
      // L'indicatrice precedente est utilisee. En effet, pour ne pas perdre d'information la temperature des cellules
      // mortes reste associee a l'indicatrice precedente dans tous les cas.
      double quantite_totale = (phase == 0) ? -next_nonzero_indicatrice*cut_field_temperature.diph_v_(n) : -next_nonzero_indicatrice*cut_field_temperature.diph_l_(n);
 
 
      double flux[6] = {flux_naive_(n,0), flux_naive_(n,1), flux_naive_(n,2), flux_naive_(n,3), flux_naive_(n,4), flux_naive_(n,5)};
 
      Cut_cell_correction_petites_cellules::modification_flux_petites_cellules(correction_petites_cellules_, quantite_totale, flux);
      double somme_flux = Cut_cell_correction_petites_cellules::calcul_somme_flux(flux);
      assert(somme_flux != 0.);
 
 
      assert((flux[0] != 0) || (flux[1] != 0) || (flux[2] != 0) || (flux[3] != 0) || (flux[4] != 0) || (flux[5] != 0));
 
      for (int num_face = 0; num_face < 6; num_face++)
        {
          if (flux[num_face] != 0.)
            {
              int dir = num_face%3;
              int decalage = num_face/3;
              int sign = decalage*2 -1;
 
              int di_decale = sign*(dir == 0);
              int dj_decale = sign*(dir == 1);
              int dk_decale = sign*(dir == 2);
 
              int n_decale = cut_cell_disc.get_n(i+di_decale, j+dj_decale, k+dk_decale);
              double next_nonzero_indicatrice_decale = cut_cell_disc.get_interfaces().In_nonzero(phase,i+di_decale,j+dj_decale,k+dk_decale);
              if (n_decale >= 0)
                {
                  // Si la cellule voisine est egalement morte, on utilise l'indicatrice precedente pour calculer
                  // la variation de la temperature, sinon, on utilise l'indicatrice du pas de temps actuel/suivant.
                  if (phase == 0)
                    {
                      cut_field_temperature.diph_v_(n_decale) -= (flux[num_face]/somme_flux)*quantite_totale/next_nonzero_indicatrice_decale;
                      cut_field_temperature.diph_v_(n) += (flux[num_face]/somme_flux)*quantite_totale/next_nonzero_indicatrice;
                    }
                  else
                    {
                      cut_field_temperature.diph_l_(n_decale) -= (flux[num_face]/somme_flux)*quantite_totale/next_nonzero_indicatrice_decale;
                      cut_field_temperature.diph_l_(n) += (flux[num_face]/somme_flux)*quantite_totale/next_nonzero_indicatrice;
                    }
                }
              else
                {
                  cut_field_temperature.pure_(i+di_decale,j+dj_decale,k+dk_decale) -= (flux[num_face]/somme_flux)*quantite_totale;
                  if (phase == 0)
                    {
                      cut_field_temperature.diph_v_(n) += (flux[num_face]/somme_flux)*quantite_totale/next_nonzero_indicatrice;
                    }
                  else
                    {
                      cut_field_temperature.diph_l_(n) += (flux[num_face]/somme_flux)*quantite_totale/next_nonzero_indicatrice;
                    }
                }
 
 
              if (write_flux)
                {
                  if (num_face < 3)
                    {
                      if (phase == 0)
                        {
                          cut_field_current_fluxes[dir].diph_v_(n) += (flux[num_face]/somme_flux)*quantite_totale;
                        }
                      else
                        {
                          cut_field_current_fluxes[dir].diph_l_(n) += (flux[num_face]/somme_flux)*quantite_totale;
                        }
                    }
                  else
                    {
                      if (n_decale >= 0)
                        {
                          if (phase == 0)
                            {
                              cut_field_current_fluxes[dir].diph_v_(n_decale) -= (flux[num_face]/somme_flux)*quantite_totale;
                            }
                          else
                            {
                              cut_field_current_fluxes[dir].diph_l_(n_decale) -= (flux[num_face]/somme_flux)*quantite_totale;
                            }
                        }
                      else
                        {
                          cut_field_current_fluxes[dir].pure_(i+di_decale,j+dj_decale,k+dk_decale) -= (flux[num_face]/somme_flux)*quantite_totale;
                        }
                    }
                }
            }
        }
    }
 
  if (write_flux)
    {
      cut_field_current_fluxes[0].echange_espace_virtuel(1);
      cut_field_current_fluxes[1].echange_espace_virtuel(1);
      cut_field_current_fluxes[2].echange_espace_virtuel(1);
    }
}
 
void Cut_cell_schema_auxiliaire::add_small_nascent_cells(const Cut_field_vector3_double& cut_field_total_velocity, Cut_field_double& cut_field_temperature, bool write_flux, Cut_field_vector3_double& cut_field_current_fluxes)
{
  const Cut_cell_FT_Disc& cut_cell_disc = cut_field_temperature.get_cut_cell_disc();
 
  assert(cut_cell_disc.get_domaine().is_uniform(0));
  assert(cut_cell_disc.get_domaine().is_uniform(1));
  assert(cut_cell_disc.get_domaine().is_uniform(2));
 
  int statut_diphasique_naissant = static_cast<int>(Cut_cell_FT_Disc::STATUT_DIPHASIQUE::NAISSANT);
  int statut_diphasique_petit = static_cast<int>(Cut_cell_FT_Disc::STATUT_DIPHASIQUE::DESEQUILIBRE_FINAL);
  assert(statut_diphasique_petit == statut_diphasique_naissant + 1);
  int index_min = cut_cell_disc.get_statut_diphasique_value_index(statut_diphasique_naissant);
  int index_max = cut_cell_disc.get_statut_diphasique_value_index(statut_diphasique_petit+1);
  for (int index = index_min; index < index_max; index++)
    {
      int n = cut_cell_disc.get_n_from_statut_diphasique_index(index);
 
      Int3 ijk = cut_cell_disc.get_ijk(n);
      int i = ijk[0];
      int j = ijk[1];
      int k = ijk[2];
 
      if (!cut_cell_disc.get_domaine().within_ghost(i, j, k, 1, 1))
        continue;
 
      double old_indicatrice = cut_cell_disc.get_interfaces().I(i,j,k);
      double next_indicatrice = cut_cell_disc.get_interfaces().In(i,j,k);
      int est_naissant = cut_cell_disc.get_interfaces().est_pure(old_indicatrice);
      int phase = est_naissant ? 1 - IJK_Interfaces::convert_indicatrice_to_phase(old_indicatrice) : ((cut_cell_disc.get_interfaces().below_small_threshold(next_indicatrice)) ? 1 : 0); // phase de la cellule petite ou naissante
      assert(est_naissant || cut_cell_disc.get_interfaces().next_below_small_threshold_for_phase(phase, cut_cell_disc.get_interfaces().I(i,j,k), next_indicatrice));
 
 
      double temperature_centre = (phase == 0) ? cut_field_temperature.diph_v_(n) : cut_field_temperature.diph_l_(n);
      double val_remplissage = temperature_remplissage_(n);
      double quantite_totale = (phase == 0) ? (1 - next_indicatrice)*(val_remplissage - temperature_centre) : next_indicatrice*(val_remplissage - temperature_centre);
 
      // The dummy value DMINFLOAT+1 indicates that no filling should be made.
      if (val_remplissage == DMINFLOAT+1)
        {
          if (phase == 0)
            {
              assert((cut_field_total_velocity[0].from_ijk_and_phase(i,j,k, 0) == 0) && (cut_field_total_velocity[1].from_ijk_and_phase(i,j,k, 0) == 0) && (cut_field_total_velocity[2].from_ijk_and_phase(i,j,k, 0) == 0));
            }
          else
            {
              assert((cut_field_total_velocity[0].from_ijk_and_phase(i,j,k, 1) == 0) && (cut_field_total_velocity[1].from_ijk_and_phase(i,j,k, 1) == 0) && (cut_field_total_velocity[2].from_ijk_and_phase(i,j,k, 1) == 0));
            }
          continue;
        }
 
      if (std::abs(temperature_centre - val_remplissage) < 1e-24)
        {
          continue;
        }
 
      // Note: std::abs(val_remplissage) is compared to std::numeric_limits<double>::min(), as a naive std::abs(val_remplissage) > 0 does not prevent arithmetic errors upon division.
      if ((std::abs(val_remplissage) > std::numeric_limits<double>::min()) && (std::abs(temperature_centre - val_remplissage)/val_remplissage) < 1e-24)
        {
          continue;
        }
 
      double flux[6] = {flux_naive_(n,0), flux_naive_(n,1), flux_naive_(n,2), flux_naive_(n,3), flux_naive_(n,4), flux_naive_(n,5)};
 
      // Calcul du flux maximum pour la limitation des flux
      double flux_max[6] = {0};
      double total_velocity[6] = {0};
      for (int num_face = 0; num_face < 6; num_face++)
        {
          int dir = num_face%3;
          int decalage = num_face/3;
          int sign = decalage*2 -1;
 
          int di = decalage*(dir == 0);
          int dj = decalage*(dir == 1);
          int dk = decalage*(dir == 2);
          int di_decale = sign*(dir == 0);
          int dj_decale = sign*(dir == 1);
          int dk_decale = sign*(dir == 2);
 
          double old_indicatrice_decale = cut_cell_disc.get_interfaces().I(i+di_decale,j+dj_decale,k+dk_decale);
          double next_indicatrice_decale = cut_cell_disc.get_interfaces().In(i+di_decale,j+dj_decale,k+dk_decale);
          bool decale_also_dying = (cut_cell_disc.get_interfaces().phase_mourrante(phase, i+di_decale,j+dj_decale,k+dk_decale));
          bool decale_nascent = (cut_cell_disc.get_interfaces().phase_naissante(phase, i+di_decale,j+dj_decale,k+dk_decale));
          bool decale_small = cut_cell_disc.get_interfaces().next_below_small_threshold_for_phase(phase, old_indicatrice_decale, next_indicatrice_decale);
          bool decale_smaller = (phase == 0) ? (1 - next_indicatrice_decale) < (1 - next_indicatrice) : (next_indicatrice_decale) < (next_indicatrice);
          if (decale_also_dying || (est_naissant && decale_nascent && decale_smaller) || ((!est_naissant) && decale_nascent) || ((!est_naissant) && decale_small && decale_smaller))
            {
              flux_max[num_face] = 0;
            }
          else
            {
              double temperature_decale = -1e37;
              int n_decale = cut_cell_disc.get_n(i+di_decale, j+dj_decale, k+dk_decale);
              if (n_decale >= 0)
                {
                  temperature_decale = (phase == 0) ? cut_field_temperature.diph_v_(n_decale) : cut_field_temperature.diph_l_(n_decale);
                }
              else
                {
                  temperature_decale = (phase == (IJK_Interfaces::convert_indicatrice_to_phase(next_indicatrice_decale)))*cut_field_temperature.pure_(i+di_decale,j+dj_decale,k+dk_decale);
                }
 
              total_velocity[num_face] = cut_field_total_velocity[dir].from_ijk_and_phase(i+di,j+dj,k+dk, phase);
 
              int n_face = cut_cell_disc.get_n_face(num_face, n, i, j, k);
              if (n_face >= 0)
                {
                  double surface_efficace = (phase == 0) ? 1 - cut_cell_disc.get_interfaces().get_indicatrice_surfacique_efficace_face()(n_face, dir) : cut_cell_disc.get_interfaces().get_indicatrice_surfacique_efficace_face()(n_face, dir);
                  if (surface_efficace > 0)
                    {
                      double next_volume_decale = (phase == 0) ? 1 - next_indicatrice_decale : next_indicatrice_decale;
                      double next_volume = (phase == 0) ? 1 - next_indicatrice : next_indicatrice;
                      flux_max[num_face] = (temperature_decale - temperature_centre)/(1/next_volume_decale + 1/next_volume);
                      flux_max[num_face] = flux[num_face] >= 0 ? std::max(0., flux_max[num_face]) : std::max(0., -flux_max[num_face]);
                    }
                }
              else
                {
                  double surface_efficace = (phase == 0) ? 1 - cut_cell_disc.get_interfaces().In(i+di,j+dj,k+dk) : cut_cell_disc.get_interfaces().In(i+di,j+dj,k+dk);
                  assert((surface_efficace == 0) || (surface_efficace == 1));
                  if (surface_efficace > 0)
                    {
                      double next_volume_decale = (phase == 0) ? 1 - next_indicatrice_decale : next_indicatrice_decale;
                      double next_volume = (phase == 0) ? 1 - next_indicatrice : next_indicatrice;
                      flux_max[num_face] = (temperature_decale - temperature_centre)/(1/next_volume_decale + 1/next_volume);
                      flux_max[num_face] = flux[num_face] >= 0 ? std::max(0., flux_max[num_face]) : std::max(0., -flux_max[num_face]);
                    }
                }
            }
        }
 
      if (no_static_update_)
        {
          if ((std::abs(total_velocity[0]) + std::abs(total_velocity[1]) + std::abs(total_velocity[2]) + std::abs(total_velocity[3]) + std::abs(total_velocity[4]) + std::abs(total_velocity[5])) == 0)
            {
              continue;
            }
        }
 
      Cut_cell_correction_petites_cellules::modification_flux_petites_cellules(correction_petites_cellules_, quantite_totale, flux);
      double somme_flux = Cut_cell_correction_petites_cellules::calcul_somme_flux(flux);
      assert(somme_flux != 0.);
      if (somme_flux == 0.)
        {
          continue;
        }
 
      Cut_cell_correction_petites_cellules::limitation_flux_avec_flux_max(correction_petites_cellules_, quantite_totale, somme_flux, flux_max, flux);
 
      assert((flux[0] != 0) || (flux[1] != 0) || (flux[2] != 0) || (flux[3] != 0) || (flux[4] != 0) || (flux[5] != 0));
 
      for (int num_face = 0; num_face < 6; num_face++)
        {
          if (flux[num_face] != 0.)
            {
              int dir = num_face%3;
              int decalage = num_face/3;
              int sign = decalage*2 -1;
 
              int di_decale = sign*(dir == 0);
              int dj_decale = sign*(dir == 1);
              int dk_decale = sign*(dir == 2);
 
              int n_decale = cut_cell_disc.get_n(i+di_decale, j+dj_decale, k+dk_decale);
              double next_indicatrice_decale = cut_cell_disc.get_interfaces().In(i+di_decale,j+dj_decale,k+dk_decale);
              if (n_decale >= 0)
                {
                  if (phase == 0)
                    {
                      cut_field_temperature.diph_v_(n_decale) -= (flux[num_face]/somme_flux)*quantite_totale/(1 - next_indicatrice_decale);
                      cut_field_temperature.diph_v_(n) += (flux[num_face]/somme_flux)*quantite_totale/(1 - cut_cell_disc.get_interfaces().In(i,j,k));
                    }
                  else
                    {
                      cut_field_temperature.diph_l_(n_decale) -= (flux[num_face]/somme_flux)*quantite_totale/next_indicatrice_decale;
                      cut_field_temperature.diph_l_(n) += (flux[num_face]/somme_flux)*quantite_totale/cut_cell_disc.get_interfaces().In(i,j,k);
                    }
                }
              else
                {
                  assert((int)next_indicatrice_decale == 1 - (int)(1 - next_indicatrice_decale));
                  assert(phase == IJK_Interfaces::convert_indicatrice_to_phase(next_indicatrice_decale));
                  cut_field_temperature.pure_(i+di_decale,j+dj_decale,k+dk_decale) -= (flux[num_face]/somme_flux)*quantite_totale;
                  if (phase == 0)
                    {
                      cut_field_temperature.diph_v_(n) += (flux[num_face]/somme_flux)*quantite_totale/(1 - cut_cell_disc.get_interfaces().In(i,j,k));
                    }
                  else
                    {
                      cut_field_temperature.diph_l_(n) += (flux[num_face]/somme_flux)*quantite_totale/cut_cell_disc.get_interfaces().In(i,j,k);
                    }
                }
 
 
              if (write_flux)
                {
                  if (num_face < 3)
                    {
                      if (phase == 0)
                        {
                          cut_field_current_fluxes[dir].diph_v_(n) += (flux[num_face]/somme_flux)*quantite_totale;
                          if (n_decale < 0)
                            {
                              assert(phase == IJK_Interfaces::convert_indicatrice_to_phase(next_indicatrice_decale));
                              cut_field_current_fluxes[dir].pure_(i,j,k) += (flux[num_face]/somme_flux)*quantite_totale;
                            }
                        }
                      else
                        {
                          cut_field_current_fluxes[dir].diph_l_(n) += (flux[num_face]/somme_flux)*quantite_totale;
                          if (n_decale < 0)
                            {
                              assert(phase == IJK_Interfaces::convert_indicatrice_to_phase(next_indicatrice_decale));
                              cut_field_current_fluxes[dir].pure_(i,j,k) += (flux[num_face]/somme_flux)*quantite_totale;
                            }
                        }
                    }
                  else
                    {
                      if (n_decale >= 0)
                        {
                          if (phase == 0)
                            {
                              cut_field_current_fluxes[dir].diph_v_(n_decale) -= (flux[num_face]/somme_flux)*quantite_totale;
                            }
                          else
                            {
                              cut_field_current_fluxes[dir].diph_l_(n_decale) -= (flux[num_face]/somme_flux)*quantite_totale;
                            }
                        }
                      else
                        {
                          cut_field_current_fluxes[dir].pure_(i+di_decale,j+dj_decale,k+dk_decale) -= (flux[num_face]/somme_flux)*quantite_totale;
                        }
                    }
                }
            }
        }
    }
 
  if (write_flux)
    {
      cut_field_current_fluxes[0].echange_espace_virtuel(1);
      cut_field_current_fluxes[1].echange_espace_virtuel(1);
      cut_field_current_fluxes[2].echange_espace_virtuel(1);
    }
}