Rupture_bulles_2groupes_PolyMAC_MPFA.cpp

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#include <Rupture_bulles_2groupes_PolyMAC_MPFA.h>
#include <Pb_Multiphase.h>
#include <Milieu_composite.h>
#include <Op_Diff_Turbulent_PolyMAC_MPFA_Face.h>
#include <Viscosite_turbulente_base.h>
#include <Matrix_tools.h>
#include <Array_tools.h>
#include <Rupture_bulles_2groupes_base.h>
#include <math.h>
#include <Champ_Elem_PolyMAC_MPFA.h>
#include <Champ_Face_base.h>
#include <Domaine_PolyMAC_MPFA.h>
 
Implemente_instanciable(Rupture_bulles_2groupes_PolyMAC_MPFA, "Rupture_bulles_2groupes_elem_PolyMAC_MPFA", Source_base);
 
Sortie& Rupture_bulles_2groupes_PolyMAC_MPFA::printOn(Sortie& os) const
{
  return os;
}
 
Entree& Rupture_bulles_2groupes_PolyMAC_MPFA::readOn(Entree& is)
{
  Param param(que_suis_je());
  param.ajouter("beta_k", &beta_k_);
  param.ajouter("dh", &dh_);
  param.lire_avec_accolades_depuis(is);
 
 
  const Pb_Multiphase *pbm = sub_type(Pb_Multiphase, equation().probleme()) ? &ref_cast(Pb_Multiphase, equation().probleme()) : nullptr;
 
  if (!pbm || pbm->nb_phases() == 1) Process::exit(que_suis_je() + " : not needed for single-phase flow!");
  for (int n = 0; n < pbm->nb_phases(); n++)  //recherche de n_l, n_g : phase {liquide,gaz}_continu en priorite
    {
      if (pbm->nom_phase(n).debute_par("liquide") && (n_l < 0 || pbm->nom_phase(n).finit_par("continu")))  n_l = n;
      if ((pbm->nom_phase(n).finit_par("group1")))  n_g1 = n;
      if ((pbm->nom_phase(n).finit_par("group2")))  n_g2 = n;
    }
  if (n_l < 0) Process::exit(que_suis_je() + " : liquid phase not found!");
  if (n_g1 < 0) Process::exit(que_suis_je() + " : group 1 not found!");
  if (n_g2 < 0) Process::exit(que_suis_je() + " : group 2 not found!");
 
  if (pbm->has_correlation("Rupture_bulles_2groupes")) correlation_ = pbm->get_correlation("Rupture_bulles_2groupes"); //correlation fournie par le bloc correlation
  else Correlation_base::typer_lire_correlation(correlation_, *pbm, "Rupture_bulles_2groupes", is); //sinon -> on la lit
 
  return is;
}
 
void Rupture_bulles_2groupes_PolyMAC_MPFA::dimensionner_blocs(matrices_t matrices, const tabs_t& semi_impl) const
{
  const Domaine_PolyMAC_MPFA& domaine = ref_cast(Domaine_PolyMAC_MPFA, equation().domaine_dis());
  const int ne = domaine.nb_elem(), ne_tot = domaine.nb_elem_tot(), N = equation().inconnue().valeurs().line_size();
 
  for (auto &&n_m : matrices)
    if (n_m.first == "alpha" || n_m.first == "k" || n_m.first == "tau" || n_m.first == "omega" || n_m.first == "interfacial_area")
      {
        Matrice_Morse& mat = *n_m.second, mat2;
        const DoubleTab& dep = equation().probleme().get_champ(n_m.first.c_str()).valeurs();
        int nc = dep.dimension_tot(0),
            M  = dep.line_size();
        Stencil sten(0, 2);
        if (n_m.first == "alpha")
          for (int e = 0; e < ne; e++)
            for (int n = 0; n < N; n++)
              {
                sten.append_line(N * e + n, N * e + n_l);
                if (n != n_l) sten.append_line(N * e + n, N * e + n);
              }
        if (n_m.first == "k" || n_m.first == "tau" || n_m.first == "omega") // N <= M
          for (int e = 0; e < ne; e++)
            for (int n = 0; n < N; n++) sten.append_line(N * e + n, M * e +n_l);
        //tableau_trier_retirer_doublons(sten);
        Matrix_tools::allocate_morse_matrix(N * ne_tot, M * nc, sten, mat2);
        mat.nb_colonnes() ? mat += mat2 : mat = mat2;
      }
}
 
void Rupture_bulles_2groupes_PolyMAC_MPFA::ajouter_blocs(matrices_t matrices, DoubleTab& secmem, const tabs_t& semi_impl) const
{
 
  const Domaine_PolyMAC_MPFA& domaine = ref_cast(Domaine_PolyMAC_MPFA, equation().domaine_dis());
  const DoubleVect& pe = equation().milieu().porosite_elem(), &ve = domaine.volumes();
  const Pb_Multiphase& pbm = ref_cast(Pb_Multiphase, equation().probleme());
  const DoubleTab& inco = equation().inconnue().valeurs(),
                   &inco_p = equation().inconnue().passe(),
                    &d_b = equation().probleme().get_champ("diametre_bulles").passe(),
                     &alpha = pbm.equation_masse().inconnue().valeurs(),
                      &alpha_p = pbm.equation_masse().inconnue().passe(),
                       &press_p = ref_cast(QDM_Multiphase, pbm.equation_qdm()).pression().passe(),
                        &temp_p  = pbm.equation_energie().inconnue().passe(),
                         &rho_p   = equation().milieu().masse_volumique().passe(),
                          &nu_p = equation().probleme().get_champ("viscosite_cinematique").passe(),
                           *tab_k_p = equation().probleme().has_champ("k") ? &equation().probleme().get_champ("k").passe() : nullptr,
                            *tab_k = equation().probleme().has_champ("k") ? &equation().probleme().get_champ("k").valeurs() : nullptr,
                             *tau = equation().probleme().has_champ("tau") ? &equation().probleme().get_champ("tau").valeurs() : nullptr,
                              *omega = equation().probleme().has_champ("omega") ? &equation().probleme().get_champ("omega").valeurs() : nullptr ;
 
  const Milieu_composite& milc = ref_cast(Milieu_composite, equation().milieu());
  int N = pbm.nb_phases(), Nk = (tab_k_p) ? (*tab_k_p).line_size() : -1, Np = equation().probleme().get_champ("pression").valeurs().line_size();
 
  std::string Type_diss = "other"; // omega, tau or other dissipation
  if (tau) Type_diss = "tau";
  else if (omega) Type_diss = "omega";
 
  DoubleTrav epsilon(alpha);
  const Op_Diff_Turbulent_PolyMAC_MPFA_Face& op_diff        = ref_cast(Op_Diff_Turbulent_PolyMAC_MPFA_Face, equation().probleme().equation(0).operateur(0).l_op_base());
  const Viscosite_turbulente_base&      visc_turb       = ref_cast(Viscosite_turbulente_base, op_diff.correlation());
  visc_turb.eps(epsilon); // Epsilon is in the past
  double limiter = visc_turb.limiteur();
  double dh = dh_;
 
  Matrice_Morse  *Ma = matrices.count("alpha") ? matrices.at("alpha") : nullptr,
                  *Mk = matrices.count("k") ? matrices.at("k") : nullptr,
                   *Mtau = matrices.count("tau") ? matrices.at("tau") : nullptr,
                    *Momega = matrices.count("omega") ? matrices.at("omega") : nullptr,
                     *Mai = matrices.count("interfacial_area") ? matrices.at("interfacial_area") : nullptr;
 
  int cR = (rho_p.dimension_tot(0) == 1), cM = (nu_p.dimension_tot(0) == 1), n, k, e,d, D = dimension;
  DoubleTrav alp_(N), p_l(N), T_l(N), rho_l(N), nu_l(N), sigma_l(N,N), dv(N, N), d_bulles(N), eps_l(Nk), k_l(Nk), coeff_TI(N, N),coeff_SI(N, N),coeff_SO(N, N); //arguments pour coeff
  const Rupture_bulles_2groupes_base& correlation_rupt = ref_cast(Rupture_bulles_2groupes_base, correlation_.valeur());
 
  // fill velocity at elem tab
  DoubleTab pvit_elem(0, N * D);
  domaine.domaine().creer_tableau_elements(pvit_elem);
  const Champ_Face_base& ch_vit = ref_cast(Champ_Face_base,ref_cast(Pb_Multiphase, equation().probleme()).equation_qdm().inconnue());
  ch_vit.get_elem_vector_field(pvit_elem);
 
 
  const double fac_sec = 1.e4 ; // numerical security
  const double alpha_min = 1.e-3 ; // to avoid numerical problems
 
  /* elements */
  for (e = 0; e < domaine.nb_elem(); e++)
    {
      // Get field values for correlations-------------------------------------------------------------------------------------------------------------------------------------------------------
      for (n = 0; n < N; n++)
        {
          alp_(n)   = alpha_p(e, n); // passe suffisant
          p_l(n)   = press_p(e, n * (Np > 1));
          T_l(n)   =  temp_p(e, n);
          rho_l(n) =   rho_p(!cR * e, n);
          nu_l(n)  =    nu_p(!cM * e, n);
          for (k = 0; k < N; k++)
            if(milc.has_interface(n, k))
              {
                Interface_base& sat = milc.get_interface(n, k);
                sigma_l(n,k) = sat.sigma(temp_p(e,n), press_p(e,n * (Np > 1)));
              }
            else if (milc.has_saturation(n, k))
              {
                Saturation_base& z_sat = milc.get_saturation(n, k);
 
                DoubleTab& sig = z_sat.get_sigma_tab();
                sigma_l(n,k) = sig(e);
 
              }
          d_bulles(n) = d_b(e,n);
 
        }
      for (n = 0; n < Nk; n++)
        {
          eps_l(n) =epsilon(e, n) ;
          k_l(n)   = (tab_k_p)   ? (*tab_k_p)(e,n) : 0;
        }
 
      for (dv =0, d = 0; d < D; d++)
        for ( n = 0; n < N; n++)
          for (k = 0 ; k<N ; k++) dv(n, k) += (pvit_elem(e, N * d + n) - ((n!=k) ? pvit_elem(e, N * d + k) : 0)) * (pvit_elem(e, N * d + n) - ((n!=k) ? pvit_elem(e, N * d + k) : 0)); // nv(n,n) = ||v(n)||, nv(n, k!=n) = ||v(n)-v(k)||
      for (n = 0; n < N; n++)
        for ( k = 0 ; k<N ; k++) dv(n, k) = sqrt(dv(n, k)) ;
 
      // Get correlations-------------------------------------------------------------------------------------------------------------------------------------------------------
      correlation_rupt.coefficient_TI(alp_, p_l, T_l, rho_l, nu_l, sigma_l, dh, dv, d_bulles, eps_l, k_l, n_l, n_g1, n_g2, coeff_TI); // Explicit coeff for Turbulent impact
      correlation_rupt.coefficient_SI(alp_, p_l, T_l, rho_l, nu_l, sigma_l, dh, dv, d_bulles, eps_l, k_l, n_l, n_g1, n_g2, coeff_SI); // Explicit coeff for Surface instability
      correlation_rupt.coefficient_SO(alp_, p_l, T_l, rho_l, nu_l, sigma_l, dh, dv, d_bulles, eps_l, k_l, n_l, n_g1, n_g2, coeff_SO); // Explicit coeff for Shear off
 
      // Get epsilon according to model
      double eps_valeurs= epsilon(e, n_l) ;
 
      if (Type_diss == "tau")        eps_valeurs = beta_k_ * ((*tab_k)(e, n_l)>1.e-8 ? (*tab_k)(e, n_l)*(*tab_k)(e, n_l)/ std::max((*tab_k)(e, n_l) * (*tau)(e, n_l), limiter * nu_p(e, n_l)) : 0 );
      else if (Type_diss == "omega") eps_valeurs = beta_k_ * ((*tab_k)(e, n_l)*(*omega)(e, n_l)) ;
      else eps_valeurs = epsilon(e, n_l);
 
      // Recuring functions for source terms-------------------------------------------------------------------------------------------------------------------------------------------------------
      // fac = prefactor
 
      const double fac_TI1 = (alpha(e, n_g1)>alpha_min) ? pe(e) * ve(e) * coeff_TI(n_g1, n_l): 0.;
      const double fac_TI2 = (alpha(e, n_g2)>alpha_min) ? pe(e) * ve(e) * coeff_TI(n_g2, n_l): 0.;
      const double fac_TI21 = (alpha(e, n_g2)>alpha_min) ? pe(e) * ve(e) * coeff_TI(n_g1, n_g2): 0.;
      const double fac_SI = (alpha(e, n_g2)>alpha_min) ? pe(e) * ve(e) * coeff_SI(n_g2, n_l): 0.;
      const double fac_SO1 = (alpha(e, n_g2)>alpha_min) ? pe(e) * ve(e) * coeff_SO(n_g1, n_l): 0.;
      const double fac_SO2 = (alpha(e, n_g2)>alpha_min) ? pe(e) * ve(e) * coeff_SO(n_g2, n_l): 0.;
 
      const double ai1 = std::max(inco(e, n_g1), 0.) ; // securite inco negative
      const double ai2_p = std::max(inco_p(e, n_g2), 0.) ; // securite inco negative
      const double ai2 = std::max(inco(e, n_g2), 0.) ; // securite inco negative
      const double eps_1_over3 = std::cbrt(eps_valeurs) ;
 
      const double alphag1_1_over3 = std::cbrt(alpha(e, n_g1)) ;
      const double ai1_5_over3 = std::cbrt(ai1) * std::cbrt(ai1) * std::cbrt(ai1) * std::cbrt(ai1) * std::cbrt(ai1) ;
      const double alphag2_1_over3 = std::cbrt(alpha(e, n_g2)) ;
      const double alphag2p_1_over3 = std::cbrt(alpha_p(e, n_g2)) ;
      const double ai2_5_over3 = std::cbrt(ai2) * std::cbrt(ai2) * std::cbrt(ai2) * std::cbrt(ai2) * std::cbrt(ai2) ;
      const double ai2p_5_over3 = std::cbrt(ai2) * std::cbrt(ai2) * std::cbrt(ai2) * std::cbrt(ai2) * std::cbrt(ai2) ;
 
      // Fill the matrix--------------------------------------------------------------------------------------------------------------------------------------------------
 
      // TI (1)--------------------------------------------------------------------------------------------------------------------------------------------------
 
      secmem(e , n_g1) += (fac_TI1 > 0. ) ?  fac_TI1  / std::min(alphag1_1_over3 * alphag1_1_over3,fac_sec) * alpha_p(e, n_l) * ai1_5_over3 * eps_1_over3 : 0. ; //(alpha1, ai1, epsilon) implicit dependance
 
      // TI (2)--------------------------------------------------------------------------------------------------------------------------------------------------
 
      secmem(e , n_g2) += (fac_TI2 > 0. ) ?  fac_TI2 / std::min(alphag2_1_over3 * alphag2_1_over3 ,fac_sec) * alpha_p(e, n_l) * ai2_5_over3 * eps_1_over3 : 0. ; //(alpha2, ai2, epsilon) implicit dependance
 
      // TI (21)--------------------------------------------------------------------------------------------------------------------------------------------------------------
 
      secmem(e , n_g1) += (fac_TI21 > 0. ) ?  fac_TI21 / std::min(alphag2p_1_over3 * alphag2p_1_over3 ,fac_sec) * alpha_p(e, n_l) * ai2p_5_over3 * eps_1_over3: 0. ;//(epsilon) implicit dependance
 
      // SI--------------------------------------------------------------------------------------------------------------------------------------------------
 
      secmem(e , n_g2) += (fac_SI > 0. ) ?  fac_SI * alpha(e, n_g2) * alpha(e, n_g2) : 0.;//(alpha2) implicit dependance
 
      // SO (1)--------------------------------------------------------------------------------------------------------------------------------------------------
 
      secmem(e , n_g1) += (fac_SO1 > 0. ) ?  fac_SO1 * ai2_p * ai2_p / std::min(alpha_p(e, n_g2),fac_sec): 0.;// no implicit dependance
 
      // SO (2)--------------------------------------------------------------------------------------------------------------------------------------------------
 
      secmem(e , n_g2) += (fac_SO2 > 0. ) ?  fac_SO2 * ai2 * ai2 * ai2 / std::min(alpha(e, n_g2) * alpha(e, n_g2) ,fac_sec): 0.;//(alpha1, ai1) implicit dependance
 
      if (Ma)
        {
          // TI (1)--------------------------------------------------------------------------------------------------------------------------------------------------
 
          (*Ma)(N * e + n_g1 , N * e + n_g1) -= (fac_TI1 > 0. ) ?  fac_TI1 * -2./3. / std::min(alphag1_1_over3 * alphag1_1_over3 * alphag1_1_over3 * alphag1_1_over3 * alphag1_1_over3,fac_sec) * alpha_p(e, n_l) * std::min(alphag1_1_over3 * alphag1_1_over3,fac_sec) * eps_1_over3 : 0.;
 
          // TI (2)--------------------------------------------------------------------------------------------------------------------------------------------------
 
          (*Ma)(N * e + n_g2 , N * e + n_g2) -= (fac_TI2 > 0. ) ?  fac_TI2 * -2./3. / std::min(alphag2_1_over3 * alphag2_1_over3 * alphag2_1_over3 * alphag2_1_over3 * alphag2_1_over3 ,fac_sec) * alpha_p(e, n_l) * ai2_5_over3 * eps_1_over3 : 0.;
 
          // SI--------------------------------------------------------------------------------------------------------------------------------------------------
 
          (*Ma)(N * e + n_g2 , N * e + n_g2) -= (fac_SI > 0. ) ?  fac_SI * 2. * alpha(e, n_g2) : 0. ;
 
          // SO (2)--------------------------------------------------------------------------------------------------------------------------------------------------
          (*Ma)(N * e + n_g2 , N * e + n_g2) -= (fac_SO2 > 0. ) ?  - 2. * fac_SO2 * ai2 * ai2 * ai2 / std::min(alpha(e, n_g2) * alpha(e, n_g2) * alpha(e, n_g2),fac_sec): 0.;
 
        }
 
      if (Mai)
        {
          // TI (1)--------------------------------------------------------------------------------------------------------------------------------------------------
 
          (*Mai)(N * e + n_g1 , N * e + n_g1) -= (fac_TI1 > 0. ) ?  fac_TI1 / std::min(alphag1_1_over3 * alphag1_1_over3,fac_sec) * alpha_p(e, n_l) * 5./3. * (std::cbrt(ai1) * std::cbrt(ai1)) * eps_1_over3 : 0.;
 
          // TI (2)--------------------------------------------------------------------------------------------------------------------------------------------------
 
          (*Mai)(N * e + n_g2 , N * e + n_g2) -= (fac_TI2 > 0. ) ?  fac_TI2 / std::min(alphag2_1_over3 * alphag2_1_over3 ,fac_sec) * alpha_p(e, n_l) * 5./3. * (std::cbrt(ai2) * std::cbrt(ai2)) * eps_1_over3 : 0.;
 
          // SO (2)--------------------------------------------------------------------------------------------------------------------------------------------------
 
          (*Mai)(N * e + n_g2 , N * e + n_g2) -= (fac_SO2 > 0. ) ?   3. * fac_SO2 * (std::cbrt(ai2) * std::cbrt(ai2)) / std::min(alpha(e, n_g2) * alpha(e, n_g2),fac_sec): 0.;
 
        }
      if (Type_diss == "tau")
        {
          if ((*tab_k)(e, n_l) * (*tau)(e, n_l) > limiter * nu_p(e, n_l)) // derivee en k ; depend de l'activation ou non du limiteur
            {
              if (Mk)
                {
                  const double deps = 1./3. * std::cbrt(beta_k_) / std::min(std::cbrt((*tab_k)(e, n_l)) * std::cbrt((*tab_k)(e, n_l)),fac_sec) / std::min(std::cbrt((*tau)(e, n_l)),fac_sec) ;
 
                  // TI (1)--------------------------------------------------------------------------------------------------------------------------------------------------
 
                  (*Mk)(N * e + n_g1, Nk * e + n_l)   -= (fac_TI1 > 0. ) ?   fac_TI1 / std::min(alphag1_1_over3 * alphag1_1_over3,fac_sec) * alpha_p(e, n_l) * std::min(alphag1_1_over3 * alphag1_1_over3,fac_sec) * deps : 0.;
 
                  // TI (2)--------------------------------------------------------------------------------------------------------------------------------------------------
 
                  (*Mk)(N * e + n_g2, Nk * e + n_l)   -= (fac_TI2 > 0. ) ?   fac_TI2 / std::min(alphag2_1_over3 * alphag2_1_over3 ,fac_sec) * alpha_p(e, n_l) * ai2_5_over3 * deps : 0.;
 
                  //TI (21)--------------------------------------------------------------------------------------------------------------------------------------------------
 
                  (*Mk)(N * e + n_g1, Nk * e + n_l)   -= (fac_TI21 > 0. ) ?   fac_TI21 / std::min(alphag2p_1_over3 * alphag2p_1_over3 ,fac_sec) * alpha_p(e, n_l) * ai2p_5_over3 * deps : 0.;
 
                }
              if (Mtau)
                {
                  const double deps = -1./3. * std::cbrt(beta_k_) * std::cbrt((*tab_k)(e, n_l)) / std::min(std::cbrt((*tau)(e, n_l)) * std::cbrt((*tau)(e, n_l)) * std::cbrt((*tau)(e, n_l)) * std::cbrt((*tau)(e, n_l)),fac_sec) ;
 
                  // TI (1)--------------------------------------------------------------------------------------------------------------------------------------------------
 
                  (*Mtau)(N * e + n_g1, Nk * e + n_l)-= (fac_TI1 > 0. ) ?  fac_TI1 / std::min(alphag1_1_over3 * alphag1_1_over3,fac_sec) * alpha_p(e, n_l) * std::min(alphag1_1_over3 * alphag1_1_over3,fac_sec) * deps : 0.;
 
                  // TI (2)--------------------------------------------------------------------------------------------------------------------------------------------------
 
                  (*Mtau)(N * e + n_g2, Nk * e + n_l)-= (fac_TI2 > 0. ) ?   fac_TI2 / std::min(alphag2_1_over3 * alphag2_1_over3 ,fac_sec) * alpha_p(e, n_l) * ai2_5_over3 * deps : 0.;
 
                  //TI (21)--------------------------------------------------------------------------------------------------------------------------------------------------
 
                  (*Mtau)(N * e + n_g1, Nk * e + n_l)-= (fac_TI21 > 0. ) ?   fac_TI21 / std::min(alphag2p_1_over3 * alphag2p_1_over3 ,fac_sec) * alpha_p(e, n_l) * ai2p_5_over3 * deps : 0.;
 
                }
            }
          else if (Mk)
            {
              const double deps = 1./3. * std::cbrt(beta_k_) / std::min(std::cbrt((*tab_k)(e, n_l)),fac_sec) / std::min(std::cbrt(limiter * nu_p(e, n_l)),fac_sec) ;
 
              // TI (1)--------------------------------------------------------------------------------------------------------------------------------------------------
 
              (*Mk)(N * e + n_g1, Nk * e + n_l)   -= (fac_TI1 > 0. ) ?  fac_TI1 / std::min(alphag1_1_over3 * alphag1_1_over3,fac_sec) * alpha_p(e, n_l) * std::min(alphag1_1_over3 * alphag1_1_over3,fac_sec) * deps : 0.;
 
              // TI (2)--------------------------------------------------------------------------------------------------------------------------------------------------
 
              (*Mk)(N * e + n_g2, Nk * e + n_l)   -= (fac_TI2 > 0. ) ?  fac_TI2 / std::min(alphag2_1_over3 * alphag2_1_over3 ,fac_sec) * alpha_p(e, n_l) * ai2_5_over3 *  deps : 0.;
 
              //TI (21)--------------------------------------------------------------------------------------------------------------------------------------------------
 
              (*Mk)(N * e + n_g1, Nk * e + n_l)   -= (fac_TI21 > 0. ) ?  fac_TI21 / std::min(alphag2p_1_over3 * alphag2p_1_over3 ,fac_sec) * alpha_p(e, n_l) * ai2p_5_over3 *  deps : 0.;
 
            }
        }
      if (Type_diss == "omega")
        {
          if (Momega)
            {
              const double deps = 1./3. * std::cbrt(beta_k_) * std::cbrt((*tab_k)(e, n_l)) / std::min(std::cbrt((*omega)(e, n_l)) * std::cbrt((*omega)(e, n_l)),fac_sec) ;
 
              // TI (1)--------------------------------------------------------------------------------------------------------------------------------------------------
 
              (*Momega)(N * e + n_g1 , Nk * e + n_l) -= (fac_TI1 > 0. ) ?  fac_TI1 / std::min(alphag1_1_over3 * alphag1_1_over3,fac_sec) * alpha_p(e, n_l) * std::min(alphag1_1_over3 * alphag1_1_over3,fac_sec) *  deps : 0.;
 
              // TI (2)--------------------------------------------------------------------------------------------------------------------------------------------------
 
              (*Momega)(N * e + n_g2 , Nk * e + n_l) -= (fac_TI2 > 0. ) ?  fac_TI2 / std::min(alphag2_1_over3 * alphag2_1_over3 ,fac_sec) * alpha_p(e, n_l) * ai2_5_over3 *  deps : 0.;
 
              // TI (21)--------------------------------------------------------------------------------------------------------------------------------------------------
 
              (*Momega)(N * e + n_g1 , Nk * e + n_l) -= (fac_TI21 > 0. ) ?  fac_TI21 / std::min(alphag2p_1_over3 * alphag2p_1_over3 ,fac_sec) * alpha_p(e, n_l) * ai2p_5_over3 *  deps : 0.;
 
            }
          if (Mk)
            {
              const double deps = 1./3. * std::cbrt(beta_k_) / std::min(std::cbrt((*tab_k)(e, n_l)) * std::cbrt((*tab_k)(e, n_l)) ,fac_sec) * std::cbrt((*omega)(e, n_l)) ;
 
              // TI (1)--------------------------------------------------------------------------------------------------------------------------------------------------
 
              (*Mk)(N * e + n_g1 , Nk * e + n_l) -= (fac_TI1 > 0. ) ?  fac_TI1 / std::min(alphag1_1_over3 * alphag1_1_over3,fac_sec) * alpha_p(e, n_l) * std::min(alphag1_1_over3 * alphag1_1_over3,fac_sec) *  deps : 0.;
 
              // TI (2)--------------------------------------------------------------------------------------------------------------------------------------------------
 
              (*Mk)(N * e + n_g2 , Nk * e + n_l) -= (fac_TI2 > 0. ) ?  fac_TI2 / std::min(alphag2_1_over3 * alphag2_1_over3 ,fac_sec) * alpha_p(e, n_l) * ai2_5_over3 *  deps : 0.;
 
              // TI (21)--------------------------------------------------------------------------------------------------------------------------------------------------
 
              (*Mk)(N * e + n_g1 , Nk * e + n_l) -= (fac_TI21 > 0. ) ?  fac_TI21 / std::min(alphag2_1_over3 * alphag2_1_over3 ,fac_sec) * alpha_p(e, n_l) * ai2p_5_over3 * deps : 0.;
            }
        }
    }
}