Vitesse_derive_Forces.cpp

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#include <Frottement_interfacial_base.h>
#include <Dispersion_bulles_base.h>
#include <Portance_interfaciale_base.h>
#include <Vitesse_derive_Forces.h>
#include <Pb_Multiphase.h>
#include <cmath>
 
Implemente_instanciable(Vitesse_derive_Forces, "Vitesse_relative_derive_Forces", Vitesse_derive_base);
 
Sortie& Vitesse_derive_Forces::printOn(Sortie& os) const { return Vitesse_derive_base::printOn(os); }
Entree& Vitesse_derive_Forces::readOn(Entree& is) { return Vitesse_derive_base::readOn(is); }
 
void Vitesse_derive_Forces::set_param(Param& param) const
{
  param.ajouter("alpha_lim", &alpha_lim_);
  Vitesse_derive_base::set_param(param);
}
 
void Vitesse_derive_Forces::completer()
{
  Pb_Multiphase& pbm = ref_cast(Pb_Multiphase, pb_.valeur());
  if (!pbm.has_correlation("frottement_interfacial")) Process::exit(que_suis_je() + " : there must be an interfacial friction correlation in the problem !");
  if (pbm.has_correlation("dispersion_bulles")) needs_grad_alpha_ = 1;
  if (pbm.has_correlation("portance_interfaciale")) needs_vort_ = 1, pbm.creer_champ("vorticite");
}
 
void Vitesse_derive_Forces::evaluate_C0_vg0(const input_t& in) const
{
  const Pb_Multiphase& pbm = ref_cast(Pb_Multiphase, pb_.valeur());
  const int D = dimension, N = in.alpha.dimension(0);
  const double norm_g = sqrt(local_carre_norme_vect(in.g));
 
  // 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 p, T, dv(N, N), coeff(N, N, 2), alpha_l(N);
  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(n_g,n_l) = dv0;
      dv(n_l,n_g) = dv0;
      correlation_fi.coefficient(alpha_l, p, T, in.rho, in.mu, in.sigma, in.dh, dv, in.d_bulles, coeff);
      dv0 = dv0 - (coeff(n_l, n_g, 0)*dv0 - norm_g*alpha_l(n_g)*(in.rho[n_l]*in.alpha[n_l]+in.rho[n_g]*in.alpha[n_g] - in.rho[n_g])) / (coeff(n_l, n_g, 1)*dv0 + coeff(n_l, n_g, 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, n_g, 0)*dv0 - norm_g*alpha_l(n_g)*(in.rho[n_l]*in.alpha[n_l]+in.rho[n_g]*in.alpha[n_g]- in.rho[n_g])) > epsilon);
 
  /* distribution parameter */
  C0 = 1;
 
  /* drift velocity along gravity */
  for (int d = 0; d < D; d++) vg0(d) = - dv0 * in.g(d) / norm_g;
 
  DoubleTrav forces(D);
  if (pbm.has_correlation("dispersion_bulles"))
    {
      const Dispersion_bulles_base& correlation_db = ref_cast(Dispersion_bulles_base, pbm.get_correlation("dispersion_bulles"));
      Dispersion_bulles_base::input_t in_td;
      Dispersion_bulles_base::output_t out_td;
      out_td.Ctd.resize(N,N);
      dv(n_g,n_l) = ( dv(n_l,n_g) = dv0) ;
      correlation_fi.coefficient(alpha_l, p, T, in.rho, in.mu, in.sigma, in.dh, dv, in.d_bulles, coeff);        // update interfacial friction coefficient
      in_td.alpha = alpha_l, in_td.rho = in.rho, in_td.mu = in.mu, in_td.sigma = in.sigma, in_td.nut = in.nut, in_td.k_turb = in.k, in_td.d_bulles = in.d_bulles, in_td.nv = dv;
      correlation_db.coefficient(in_td, out_td); // correlation identifies the liquid phase
      for (int d = 0; d < D; d++) forces(d) +=  - out_td.Ctd(n_g, n_l) * in.gradAlpha(d, n_g) + out_td.Ctd(n_l, n_g) * in.gradAlpha(d, n_l);
    }
 
  if (pbm.has_correlation("portance_interfaciale"))
    {
      const Portance_interfaciale_base& correlation_pi = ref_cast(Portance_interfaciale_base, pbm.get_correlation("portance_interfaciale"));
      Portance_interfaciale_base::input_t in_pi;
      Portance_interfaciale_base::output_t out_pi;
      out_pi.Cl.resize(N,N);
      dv(n_g,n_l) = ( dv(n_l,n_g) = dv0) ;
      correlation_fi.coefficient(alpha_l, p, T, in.rho, in.mu, in.sigma, in.dh, dv, in.d_bulles, coeff);        // update interfacial friction coefficient
      in_pi.alpha = alpha_l, in_pi.rho = in.rho, in_pi.mu = in.mu, in_pi.sigma = in.sigma, in_pi.k_turb = in.k, in_pi.d_bulles = in.d_bulles, in_pi.nv = dv;
      correlation_pi.coefficient(in_pi, out_pi); // correlation identifies the liquid phase
      if (D==2)
        {
          forces(0) -= out_pi.Cl(n_l, n_g) * (- dv0 * in.g(1) / norm_g * in.vort(0, n_l)) ;
          forces(1) += out_pi.Cl(n_l, n_g) * (- dv0 * in.g(0) / norm_g * in.vort(0, n_l)) ;
        }
      if (D==3)
        {
          forces(0) -= out_pi.Cl(n_l, n_g) * (- dv0 * in.g(1) / norm_g * in.vort(2, n_l) + dv0 * in.g(2) / norm_g * in.vort(1, n_l)) ;
          forces(1) -= out_pi.Cl(n_l, n_g) * (- dv0 * in.g(2) / norm_g * in.vort(0, n_l) + dv0 * in.g(0) / norm_g * in.vort(2, n_l)) ;
          forces(2) -= out_pi.Cl(n_l, n_g) * (- dv0 * in.g(0) / norm_g * in.vort(1, n_l) + dv0 * in.g(1) / norm_g * in.vort(0, n_l)) ;
        }
    }
 
 
  for (int d = 0; d < D; d++) vg0(d) += forces(d)/coeff(n_g,n_l,0) ;
  for (int d = 0; d < D; d++) vg0(d) *=  (1.0 - C0 * in.alpha(n_g)) ;
}