Assembleur_P_PolyMAC_HFV.cpp

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#include <Assembleur_P_PolyMAC_HFV.h>
#include <Champ_Face_PolyMAC_HFV.h>
#include <Domaine_PolyMAC_HFV.h>
#include <Neumann_sortie_libre.h>
#include <Domaine_Cl_PolyMAC_family.h>
#include <Matrice_Morse_Sym.h>
#include <Matrice_Diagonale.h>
#include <Static_Int_Lists.h>
#include <Matrice_Bloc_Sym.h>
#include <Operateur_Grad.h>
#include <TRUSTTab_parts.h>
#include <Pb_Multiphase.h>
#include <Matrix_tools.h>
#include <Array_tools.h>
#include <Dirichlet.h>
#include <Debog.h>
#include <Perf_counters.h>
 
Implemente_instanciable(Assembleur_P_PolyMAC_HFV, "Assembleur_P_PolyMAC_HFV", Assembleur_P_PolyMAC_CDO);
 
Sortie& Assembleur_P_PolyMAC_HFV::printOn(Sortie& s) const { return s << que_suis_je() << " " << le_nom(); }
 
Entree& Assembleur_P_PolyMAC_HFV::readOn(Entree& s) { return Assembleur_base::readOn(s); }
 
 
int  Assembleur_P_PolyMAC_HFV::assembler_mat(Matrice& la_matrice,const DoubleVect& diag,int incr_pression,int resoudre_en_u)
{
  set_resoudre_increment_pression(incr_pression);
  set_resoudre_en_u(resoudre_en_u);
  Cerr << "Assemblage de la matrice de pression ... " ;
  statistics().begin_count(STD_COUNTERS::matrix_assembly,statistics().get_last_opened_counter_level()+1);
  la_matrice.typer("Matrice_Morse");
  Matrice_Morse& mat = ref_cast(Matrice_Morse, la_matrice.valeur());
 
  const Domaine_PolyMAC_HFV& domaine = ref_cast(Domaine_PolyMAC_HFV, le_dom_PolyMAC_CDO.valeur());
  const Champ_Face_PolyMAC_HFV& ch = ref_cast(Champ_Face_PolyMAC_HFV, mon_equation->inconnue());
  const IntTab& e_f = domaine.elem_faces(), &fcl = ch.fcl();
  const DoubleVect& pe = equation().milieu().porosite_elem(), &pf = equation().milieu().porosite_face(), &vf = domaine.volumes_entrelaces();
  int i, j, e, f, fb, ne = domaine.nb_elem(), ne_tot = domaine.nb_elem_tot(), nf = domaine.nb_faces(), nf_tot = domaine.nb_faces_tot();
 
  DoubleTrav w2; //W2 matrix (from Domaine_PolyMAC_HFV) per element
 
 
  /* 1. pressure matrix stencil: only on the first pass */
  if (!stencil_done) /* first pass: compute */
    {
      Stencil stencil(0, 2);
 
      for (e = 0; e < ne; e++)
        for (stencil.append_line(e, e), i = 0; i < e_f.dimension(1) && (f = e_f(e, i)) >= 0; i++) /* "elem-elem" and "elem-face" blocks */
          stencil.append_line(e, ne_tot + f); //all faces (except Neumann boundaries)
      for (e = 0; e < ne_tot; e++)
        for (domaine.W2(nullptr, e, w2), i = 0; i < w2.dimension(1); i++) /* "face-elem" and "face-face" blocks */
          if (fcl(f = e_f(e, i), 0) == 1 && f < nf) stencil.append_line(ne_tot + f, ne_tot + f); //Neumann: row "dpf = 0"
          else if (f < nf)
            for (stencil.append_line(ne_tot + f, e), j = 0; j < w2.dimension(1); j++) /* otherwise: row sum w2_{ff'} (pf' - pe) */
              if (w2(i, j, 0)) stencil.append_line(ne_tot + f, ne_tot + e_f(e, j));
 
      tableau_trier_retirer_doublons(stencil);
      Matrix_tools::allocate_morse_matrix(ne_tot + nf_tot, ne_tot + nf_tot, stencil, mat);
      tab1.ref_array(mat.get_set_tab1()), tab2.ref_array(mat.get_set_tab2());
      stencil_done = 1;
    }
  else /* subsequent passes: recycle */
    {
      mat.get_set_tab1().ref_array(tab1);
      mat.get_set_tab2().ref_array(tab2);
      mat.get_set_coeff().resize(tab2.size_array()), mat.get_set_coeff() = 0;
      mat.set_nb_columns(ne_tot + nf_tot);
    }
 
  /* 2. coefficients */
  for (e = 0; e < ne_tot; e++)
    {
      domaine.W2(nullptr, e, w2); //compute W2
      double m_ee = 0, m_fe, m_ef, coeff; //coefficients (elem, elem), (elem, face) and (face, elem)
      for (i = 0; i < w2.dimension(0); i++, m_ee += m_ef)
        {
          f = e_f(e, i), coeff = diag.size_totale() ? pf(f) * vf(f) / diag(f) : 1;
          for (m_ef = 0, m_fe = 0, j = 0; j < w2.dimension(1); j++)
            if (w2(i, j, 0))
              {
                fb = e_f(e, j);
                if (f < domaine.nb_faces() && fcl(f, 0) != 1) mat(ne_tot + f, ne_tot + fb) += coeff * pe(e) * w2(i, j, 0); //internal or Dirichlet
                else if (f < domaine.nb_faces() && i == j) mat(ne_tot + f, ne_tot + fb) = 1; //f Neumann: row dpf = 0
                m_ef += coeff * pe(e) * w2(i, j, 0),  m_fe += coeff * pe(e) * w2(i, j, 0); //accumulation in m_ef, m_fe
              }
          if (e < domaine.nb_elem()) mat(e, ne_tot + f) -= m_ef;
          if (f < domaine.nb_faces() && fcl(f, 0) != 1) mat(ne_tot + f, e) -= m_fe; //if f not Neumann: coeff (face, elem)
        }
      if (e < domaine.nb_elem()) mat(e, e) += m_ee; //coeff (elem, elem)
    }
 
  //in the absence of pressure BCs, we add P(0) = 0 on process 0
  has_P_ref=0;
  for (int n_bord=0; n_bord<le_dom_PolyMAC_CDO->nb_front_Cl(); n_bord++)
    if (sub_type(Neumann_sortie_libre, le_dom_Cl_PolyMAC_CDO->les_conditions_limites(n_bord).valeur()) )
      has_P_ref=1;
  if (!has_P_ref && !Process::me()) mat(0, 0) *= 2;
  Cerr << statistics().get_time_since_last_open(STD_COUNTERS::matrix_assembly) << " s" << finl;
  statistics().end_count(STD_COUNTERS::matrix_assembly);
  return 1;
}
 
/* equations sum_k alpha_k = 1, [grad p]_{fe} = [grad p]_{fe'} in Pb_Multiphase */
void Assembleur_P_PolyMAC_HFV::dimensionner_continuite(matrices_t matrices, int aux_only) const
{
  const Domaine_PolyMAC_HFV& domaine = ref_cast(Domaine_PolyMAC_HFV, le_dom_PolyMAC_CDO.valeur());
  int i, j, e, f, fb, n, N = equation().inconnue().valeurs().line_size(), m, M = equation().get_champ("pression").valeurs().line_size(),
                         ne_tot = domaine.nb_elem_tot(), nf_tot = domaine.nb_faces_tot();
  const IntTab& fcl = ref_cast(Champ_Face_PolyMAC_HFV, mon_equation->inconnue()).fcl(), &e_f = domaine.elem_faces();
  Stencil sten_a(0, 2), sten_p(0, 2), sten_v(0, 2);
  DoubleTrav w2;
 
  /* equations sum alpha_k = 1 */
  if (!aux_only)
    for (e = 0; e < domaine.nb_elem(); e++)
      for (n = 0; n < N; n++) sten_a.append_line(e, N * e + n);
  /* equations on p_f: gradient continuity if internal, p = p_f if Neumann, sum_k alpha_k v_k = sum_k alpha_k v_k,imp if Dirichlet */
  for (e = 0; e < domaine.nb_elem_tot(); e++)
    for (domaine.W2(nullptr, e, w2), i = 0; i < w2.dimension(0); i++)
      if ((f = e_f(e, i)) >= domaine.nb_faces()) continue; //virtual faces
      else if (!fcl(f, 0))
        for (sten_p.append_line(!aux_only * ne_tot + f, e), j = 0; j < w2.dimension(1); j++) //internal face
          {
            if (w2(i, j, 0) && fcl(fb = e_f(e, j), 0) != 1)
              for (m = 0; m < M; m++)
                sten_p.append_line(M * (!aux_only * ne_tot + f) + m, M * (ne_tot + fb) + m);
          }
      else if (fcl(f, 0) == 1)
        for (m = 0; m < M; m++) sten_p.append_line(M * (!aux_only * ne_tot + f) + m, M * (ne_tot + f) + m); //Neumann
      else for (n = 0, m = 0; n < N; n++, m += (M > 1)) sten_v.append_line(M * (!aux_only * ne_tot + f) + m, N * f + n); //Dirichlet
 
  tableau_trier_retirer_doublons(sten_v), tableau_trier_retirer_doublons(sten_p);
  if (!aux_only) Matrix_tools::allocate_morse_matrix(ne_tot + nf_tot, N * ne_tot, sten_a, *matrices.at("alpha"));
  Matrix_tools::allocate_morse_matrix(M * (!aux_only * ne_tot + nf_tot), M * (ne_tot + nf_tot), sten_p, *matrices.at("pression"));
  Matrix_tools::allocate_morse_matrix(M * (!aux_only * ne_tot + nf_tot), equation().inconnue().valeurs().size_totale(), sten_v, *matrices.at("vitesse"));
}
 
void Assembleur_P_PolyMAC_HFV::assembler_continuite(matrices_t matrices, DoubleTab& secmem, int aux_only) const
{
  const Domaine_PolyMAC_HFV& domaine = ref_cast(Domaine_PolyMAC_HFV, le_dom_PolyMAC_CDO.valeur());
  const Pb_Multiphase* pbm = sub_type(Pb_Multiphase, equation().probleme()) ? &ref_cast(Pb_Multiphase, equation().probleme()) : nullptr;
  const Conds_lim& cls = le_dom_Cl_PolyMAC_CDO->les_conditions_limites();
  const DoubleTab *alpha = pbm ? &pbm->equation_masse().inconnue().valeurs() : nullptr, &press = equation().probleme().get_champ("pression").valeurs(),
                   &vit = equation().inconnue().valeurs(), *alpha_rho = pbm ? &pbm->equation_masse().champ_conserve().passe() : nullptr, &nf = domaine.face_normales();
  const IntTab& fcl = ref_cast(Champ_Face_PolyMAC_HFV, mon_equation->inconnue()).fcl(), &e_f = domaine.elem_faces();
  const DoubleVect& ve = domaine.volumes(), &pe = equation().milieu().porosite_elem(), &fs = domaine.face_surfaces(), &vf = domaine.volumes_entrelaces();
  int i, j, e, f, fb, n, N = vit.line_size(), m, M = press.line_size(), ne_tot = domaine.nb_elem_tot(), d, D = dimension;
  Matrice_Morse *mat_a = alpha ? matrices.at("alpha") : nullptr, &mat_p = *matrices.at("pression"), &mat_v = *matrices.at("vitesse");
  DoubleTrav w2, fac(N);
  double ar_tot, acc;
 
  secmem = 0, fac = 1;
 
  /* equations sum alpha_k = 1 */
  /* right-hand side: multiply by porosity * volume so the P system is symmetric in Cartesian coordinates */
  if (!aux_only)
    for (e = 0; e < domaine.nb_elem(); e++)
      for (secmem(e) = -pe(e) * ve(e), n = 0; n < N; n++) secmem(e) += pe(e) * ve(e) * (*alpha)(e, n);
  /* matrix */
  if (!aux_only)
    for (e = 0; e < domaine.nb_elem(); e++)
      for (n = 0; n < N; n++) (*mat_a)(e, N * e + n) = -pe(e) * ve(e);
 
  /* equations on p_f: gradient continuity if internal, p = p_f if Neumann, sum_k alpha_k v_k = sum_k alpha_k v_k,imp if Dirichlet */
  for (mat_p.get_set_coeff() = 0, mat_v.get_set_coeff() = 0, e = 0; e < ne_tot; e++)
    for (domaine.W2(nullptr, e, w2), i = 0; i < w2.dimension(0); i++)
      if ((f = e_f(e, i)) >= domaine.nb_faces()) continue; //virtual faces
      else if (!fcl(f, 0)) //internal face
        {
          for (acc = 0, j = 0; j < w2.dimension(1); acc+= pe(e) * vf(f) * w2(i, j, 0), j++)
            for (m = 0; m < M; m++) //right-hand side
              secmem(!aux_only * ne_tot + f, m) -= pe(e) * vf(f) * w2(i, j, 0) * (press(ne_tot + e_f(e, j), m) - press(e, m));
          for (m = 0; m < M; m++) mat_p(M * (!aux_only * ne_tot + f) + m, M * e + m) -= acc;
          for (j = 0; j < w2.dimension(1); j++) //matrix (except Neumann boundaries)
            if (w2(i, j, 0) && fcl(fb = e_f(e, j), 0) != 1)
              for (m = 0; m <M; m++)
                mat_p(M * (!aux_only * ne_tot + f) + m, M * (ne_tot + fb) + m) += pe(e) * vf(f) * w2(i, j, 0);
        }
      else if (fcl(f, 0) == 1) //Neumann -> equalities p_f = p_imp
        {
          for (m = 0; m < M; m++) secmem(M * (!aux_only * ne_tot + f) + m) = fs(f) * (ref_cast(Neumann, cls[fcl(f, 1)].valeur()).flux_impose(fcl(f, 2), m) - press(ne_tot + f, m));
          for (m = 0; m < M; m++) mat_p(M * (!aux_only * ne_tot + f) + m, M * (ne_tot + f) + m) = fs(f);
        }
      else  //Dirichlet -> equality flux_tot_imp - flux_tot = 0
        {
          if (M == 1 && N > 1) //one pressure, multiple velocities -> only one weighting can be imposed: choose the one corresponding to total mass flux
            {
              for (ar_tot = 0, n = 0; n < N; n++) ar_tot += (*alpha_rho)(e, n);
              for (n = 0; n < N; n++) fac(n) = (*alpha_rho)(e, n) / ar_tot;
            }
          else if (M != N) abort(); //otherwise, there must be as many pressures as velocities
 
          for (n = 0, m = 0; n < N; n++, m += (M > 1)) secmem(!aux_only * ne_tot + f, m) += vf(f) * fac(n) * vit(f, n);
          if (fcl(f, 0) == 3)
            for (d = 0; d < D; d++)
              for (n = 0, m = 0; n < N; n++, m += (M > 1)) //contribution of the imposed value: non-homogeneous Dirichlet only
                secmem(!aux_only * ne_tot + f, m) -= vf(f) * fac(n) * nf(f, d) / fs(f) * ref_cast(Dirichlet, cls[fcl(f, 1)].valeur()).val_imp(fcl(f, 2), N * d + n);
          for (n = 0, m = 0; n < N; n++, m += (M > 1)) mat_v(M * (!aux_only * ne_tot + f) + m, N * f + n) -= vf(f) * fac(n);
        }
}
 
void Assembleur_P_PolyMAC_HFV::modifier_secmem_pour_incr_p(const DoubleTab& press, const double fac, DoubleTab& secmem) const
{
  const Domaine_PolyMAC_HFV& domaine = ref_cast(Domaine_PolyMAC_HFV, le_dom_PolyMAC_CDO.valeur());
  const Champ_Face_PolyMAC_HFV& ch = ref_cast(Champ_Face_PolyMAC_HFV, mon_equation->inconnue());
  const Conds_lim& cls = le_dom_Cl_PolyMAC_CDO->les_conditions_limites();
  const IntTab& fcl = ch.fcl();
  int f, ne_tot = domaine.nb_elem_tot(), m, M = equation().probleme().get_champ("pression").valeurs().line_size();
  for (f = 0; f < domaine.premiere_face_int(); f++)
    if (fcl(f, 0) == 1)
      for (m = 0; m < M; m++)
        secmem(ne_tot + f, m) = (ref_cast(Neumann_sortie_libre, cls[fcl(f, 1)].valeur()).flux_impose(fcl(f, 2), m) - press(ne_tot + f, m)) / fac;
}
 
/* norm for assembler_continuite */
DoubleTab Assembleur_P_PolyMAC_HFV::norme_continuite() const
{
  const DoubleVect& pe= equation().milieu().porosite_elem(), &ve = le_dom_PolyMAC_CDO->volumes();
  DoubleTab norm(le_dom_PolyMAC_CDO->nb_elem());
  for (int e = 0; e < le_dom_PolyMAC_CDO->nb_elem(); e++) norm(e) = pe(e) * ve(e);
  return norm;
}
 
int Assembleur_P_PolyMAC_HFV::modifier_solution(DoubleTab& pression)
{
  Debog::verifier("pression dans modifier solution in",pression);
  if(!has_P_ref) pression -= mp_min_vect(pression);
  return 1;
}