Portance_interfaciale_Sugrue_Modifiee.cpp

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#include <Portance_interfaciale_Sugrue_Modifiee.h>
#include <Frottement_interfacial_base.h>
#include <Pb_Multiphase.h>
#include <Sources_helpers_Multiphase.h>
#include <math.h>
 
Implemente_instanciable(Portance_interfaciale_Sugrue_Modifiee, "Portance_interfaciale_Sugrue_Modifiee", Portance_interfaciale_base);
 
Sortie& Portance_interfaciale_Sugrue_Modifiee::printOn(Sortie& os) const
{
  return os;
}
 
Entree& Portance_interfaciale_Sugrue_Modifiee::readOn(Entree& is)
{
  Param param(que_suis_je());
  param.ajouter("constante_gravitation", &g_);
  param.lire_avec_accolades_depuis(is);
 
  n_l = find_liquid_phase();
 
  return is;
}
 
void Portance_interfaciale_Sugrue_Modifiee::coefficient(const input_t& in, output_t& out) const
{
  const int N = out.Cl.dimension(0);
  const Pb_Multiphase& pbm = ref_cast(Pb_Multiphase, pb_.valeur());
 
  for (int k = 0; k < N; k++)
    if (k != n_l) // k gas phase
      {
        const int ind_trav = sigma_pair_index(k, n_l, N);
 
        DoubleTab alpha_l(N);
 
        // Newton method to determine dv along gravity
        double dv0 = 0.2, epsilon = 1.e-4; // Initialize dv at random
        int step = 1, iter_max = 20;
        DoubleTab dv(N, N), coeff(N, N, 2);
        const Frottement_interfacial_base& correlation_fi = ref_cast(Frottement_interfacial_base,
                                                                     pbm.get_correlation("frottement_interfacial"));
        double sum_alpha = 0;
        for (int n = 0; n < N ; n++)
          {
            alpha_l(n)= std::max(in.alpha(n), alpha_lim_);
            sum_alpha += alpha_l(n);
          }
        for (int n = 0; n < N ; n++)
          alpha_l(n) /= sum_alpha;
 
        do
          {
            dv(k,n_l) = dv0;
            dv(n_l,k) = dv0;
            correlation_fi.coefficient(alpha_l, in.p, in.T, in.rho, in.mu, in.sigma, in.dh, dv, in.d_bulles, coeff);
            dv0 = dv0 - (coeff(n_l, k, 0)*dv0 - g_*alpha_l(k)*(in.rho[n_l]*in.alpha[n_l]+in.rho[k]*in.alpha[k] - in.rho[k])) / (coeff(n_l, k, 1)*dv0 + coeff(n_l, k, 0));
            step = step+1;
            if(step > iter_max) Process::exit(que_suis_je() + " : Newton algorithm not converging to find relative velocity !");
          }
        while(std::abs(coeff(n_l, k, 0)*dv0 - g_*alpha_l(k)*(in.rho[n_l]*in.alpha[n_l]+in.rho[k]*in.alpha[k]- in.rho[k])) > epsilon);
 
        // Rest of the correlation
        const double Eo = eotvos_number(g_, in.rho[n_l], in.rho[k], in.d_bulles[k], in.sigma[ind_trav]);
        const double Wo = std::min(Eo * in.k_turb[n_l]/std::max(dv0*dv0, 1.e-8) , 6.); // Experimental validation up to Wo=6
        const double f_Wo = std::min(0.03, 5.0404 - 5.0781*std::pow(Wo, 0.0108));
        const double f_alp = in.alpha[k] < .7 ? 1 : (in.alpha[k] > .95 ? 0 : (.95 - in.alpha[k])/.25);
        const double Cl = f_Wo*f_alp ;
 
        out.Cl(k, n_l) = Cl * in.rho[n_l] * in.alpha[k] ;
        out.Cl(n_l, k) = out.Cl(k, n_l);
      }
}