Champ_Q1NC_implementation.cpp

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#include <Champ_Q1NC_implementation.h>
#include <Domaine.h>
#include <Domaine_VEF.h>
#include <Champ_Inc_base.h>
#include <verif_cast.h>
 
DoubleTab& Champ_Q1NC_implementation::Derivee_fonction_forme_2D_normalise(double u, double v, DoubleTab& DF)
{
  DF(0, 0) = -0.5 + 0.5 * u;
  DF(0, 1) = -0.5 * u;
  DF(0, 2) = 0.5 + 0.5 * u;
  DF(0, 3) = -0.5 * u;
 
  DF(1, 0) = -0.5 * v;
  DF(1, 1) = -0.5 + 0.5 * v;
  DF(1, 2) = -0.5 * v;
  DF(1, 3) = 0.5 + 0.5 * v;
 
  return DF;
 
}
 
DoubleTab& Champ_Q1NC_implementation::Derivee_fonction_forme_3D_normalise(double u, double v, double w, DoubleTab& DF)
{
  double tier = 1. / 3.;
  DF(0, 0) = -0.5 + 2 * tier * u;
  DF(0, 1) = -tier * u;
  DF(0, 2) = -tier * u;
  DF(0, 3) = 0.5 + 2 * tier * u;
  DF(0, 4) = -tier * u;
  DF(0, 5) = -tier * u;
 
  DF(1, 0) = -tier * v;
  DF(1, 1) = -0.5 + 2 * tier * v;
  DF(1, 2) = -tier * v;
  DF(1, 3) = -tier * v;
  DF(1, 4) = 0.5 + 2 * tier * v;
  DF(1, 5) = -tier * v;
 
  DF(2, 0) = -tier * w;
  DF(2, 1) = -tier * w;
  DF(2, 2) = -0.5 + 2 * tier * w;
  DF(2, 3) = -tier * w;
  DF(2, 4) = -tier * w;
  DF(2, 5) = 0.5 + 2 * tier * w;
 
  return DF;
 
}
 
DoubleVect& Champ_Q1NC_implementation::valeur_a_elem(const DoubleVect& position, DoubleVect& val, int le_poly) const
{
  const Champ_base& cha = le_champ();
  int face, nb_compo_ = cha.nb_comp();
  double xs, ys, zs;
  const DoubleTab& ch = cha.valeurs();
  const Domaine_VEF& domaine_VEF = domaine_vef();
  int init = tab_param.size(), D = Objet_U::dimension;
  if (init == 0 && D == 2)
    (verif_cast(Champ_Q1NC_implementation&, *this)).transforme_coord2D();
  if (init == 0 && D == 3)
    (verif_cast(Champ_Q1NC_implementation&, *this)).transforme_coord3D();
 
  val = 0;
  if (le_poly != -1)
    {
      xs = position(0);
      ys = position(1);
      zs = (D == 3) ? position(2) : 0.;
 
      for (int i = 0; i < 2 * D; i++)
        {
          face = domaine_VEF.elem_faces(le_poly, i);
          for (int ncomp = 0; ncomp < nb_compo_; ncomp++)
            val(ncomp) += ch(face, ncomp)
                          * ((D == 2) ? (verif_cast(Champ_Q1NC_implementation&, *this)).fonction_forme_2D(xs, ys, le_poly, i) : (verif_cast(Champ_Q1NC_implementation&, *this)).fonction_forme_3D(xs, ys, zs, le_poly, i));
        }
 
    }
  return val;
}
 
double Champ_Q1NC_implementation::calcule_valeur_a_elem_compo(double xs, double ys, double zs, int le_poly, int ncomp) const
{
  const Domaine_VEF& domaine_VEF = domaine_vef();
  const DoubleTab& ch = le_champ().valeurs();
  int face, init = tab_param.size(), D = Objet_U::dimension;
 
  if (init == 0 && D == 2)
    (verif_cast(Champ_Q1NC_implementation&, *this)).transforme_coord2D();
  if (init == 0 && D == 3)
    (verif_cast(Champ_Q1NC_implementation&, *this)).transforme_coord3D();
 
  double val;
 
  if (le_poly == -1)
    val = 0;
  else
    {
      // Compute using shape functions on the quadrilateral or its 3D extension
      val = 0;
      for (int i = 0; i < 2 * D; i++)
        {
          face = domaine_VEF.elem_faces(le_poly, i);
          val += ch(face, ncomp)
                 * ((D == 2) ? (verif_cast(Champ_Q1NC_implementation&, *this)).fonction_forme_2D(xs, ys, le_poly, i) : (verif_cast(Champ_Q1NC_implementation&, *this)).fonction_forme_3D(xs, ys, zs, le_poly, i));
        }
    }
  return val;
}
 
double Champ_Q1NC_implementation::valeur_a_elem_compo(const DoubleVect& position, int le_poly, int ncomp) const
{
  double xs, ys, zs = 0;
  xs = position(0);
  ys = position(1);
  if (Objet_U::dimension == 3)
    zs = position(2);
  return calcule_valeur_a_elem_compo(xs, ys, zs, le_poly, ncomp);
}
 
double Champ_Q1NC_implementation::valeur_a_sommet_compo(int num_som, int le_poly, int ncomp) const
{
  //Cerr << "Champ_Q1NC_implementation::valeur_a_sommet_compo" << finl;
  // Unlike Champ_P1NC, the shape functions
  // are not trivial at hexa vertices... fall back
  // to calcule_valeur_a_elem_compo
  double xs, ys, zs = 0;
  const Domaine& dom = get_domaine_geom();
  xs = dom.coord(num_som, 0);
  ys = dom.coord(num_som, 1);
  if (Objet_U::dimension == 3)
    zs = dom.coord(num_som, 2);
  return calcule_valeur_a_elem_compo(xs, ys, zs, le_poly, ncomp);
}
 
DoubleTab& Champ_Q1NC_implementation::valeur_aux_elems(const DoubleTab& positions, const IntVect& les_polys, DoubleTab& val) const
{
  const Champ_base& cha = le_champ();
  int face, nb_compo_ = cha.nb_comp();
  double xs, ys, zs;
  const Domaine_VEF& domaine_VEF = domaine_vef();
  int init = tab_param.size(), D = Objet_U::dimension;
 
  if (init == 0 && D == 2)
    (verif_cast(Champ_Q1NC_implementation&, *this)).transforme_coord2D();
  if (init == 0 && D == 3)
    (verif_cast(Champ_Q1NC_implementation&, *this)).transforme_coord3D();
 
  if (val.nb_dim() > 2)
    {
      Cerr << "TRUST Error in Champ_Q1NC_implementation::valeur_aux_elems()\n";
      Cerr << "The DoubleTab val has more than 2 dimensions\n";
      Process::exit();
    }
 
  int le_poly;
  const DoubleTab& ch = cha.valeurs();
 
  for (int rang_poly = 0; rang_poly < les_polys.size(); rang_poly++)
    {
      le_poly = les_polys(rang_poly);
      if (le_poly == -1)
        for (int ncomp = 0; ncomp < nb_compo_; ncomp++)
          val(rang_poly, ncomp) = 0;
      else
        {
          for (int ncomp = 0; ncomp < nb_compo_; ncomp++)
            {
              val(rang_poly, ncomp) = 0;
              xs = positions(rang_poly, 0);
              ys = positions(rang_poly, 1);
              zs = (D == 3) ? positions(rang_poly, 2) : 0.;
              for (int i = 0; i < 2 * D; i++)
                {
                  face = domaine_VEF.elem_faces(le_poly, i);
                  val(rang_poly, ncomp) += ch(face, ncomp)
                                           * ((D == 2) ? (verif_cast(Champ_Q1NC_implementation&, *this)).fonction_forme_2D(xs, ys, le_poly, i) : (verif_cast(Champ_Q1NC_implementation&, *this)).fonction_forme_3D(xs, ys, zs, le_poly, i));
                }
            }
        }
    }
  return val;
}
 
DoubleVect& Champ_Q1NC_implementation::valeur_aux_elems_compo(const DoubleTab& positions, const IntVect& les_polys, DoubleVect& val, int ncomp) const
{
  // Cerr << "Champ_Q1NC_implementation::valeur_aux_elems_compo " << finl;
  const Champ_base& cha = le_champ();
  double xs, ys, zs;
  int face;
  const Domaine_VEF& domaine_VEF = domaine_vef();
  assert(val.size_totale() >= les_polys.size());
  int le_poly;
  const DoubleTab& ch = cha.valeurs();
  int init = tab_param.size(), D = Objet_U::dimension;
 
  if (init == 0 && D == 2)
    (verif_cast(Champ_Q1NC_implementation&, *this)).transforme_coord2D();
  if (init == 0 && D == 3)
    (verif_cast(Champ_Q1NC_implementation&, *this)).transforme_coord3D();
 
  for (int rang_poly = 0; rang_poly < les_polys.size(); rang_poly++)
    {
      le_poly = les_polys(rang_poly);
      if (le_poly == -1)
        val(rang_poly) = 0;
      else
        {
          // Compute using shape functions on the quadrilateral or its 3D extension
          val = 0;
          xs = positions(rang_poly, 0);
          ys = positions(rang_poly, 1);
          zs = (D == 3) ? positions(rang_poly, 2) : 0.;
          for (int i = 0; i < 2 * D; i++)
            {
              face = domaine_VEF.elem_faces(le_poly, i);
              val(rang_poly) += ch(face, ncomp)
                                * ((D == 2) ? (verif_cast(Champ_Q1NC_implementation&, *this)).fonction_forme_2D(xs, ys, le_poly, i) : (verif_cast(Champ_Q1NC_implementation&, *this)).fonction_forme_3D(xs, ys, zs, le_poly, i));
            }
        }
    }
  return val;
}
 
DoubleTab& Champ_Q1NC_implementation::valeur_aux_sommets(const Domaine& dom, DoubleTab& ch_som) const
{
  // Cerr << "Champ_Q1NC_implementation::valeur_aux_sommets " << finl;
  const Domaine_dis_base& domaine_dis = get_domaine_dis();
  const Domaine& mon_dom = domaine_dis.domaine();
  int nb_elem_tot = mon_dom.nb_elem_tot(), nb_som = mon_dom.nb_som(), nb_som_elem = mon_dom.nb_som_elem();
  const Champ_base& cha = le_champ();
  int nb_compo_ = cha.nb_comp();
  IntVect compteur(nb_som);
  int ncomp, num_elem, num_som, j;
  ch_som = 0;
  compteur = 0;
 
  DoubleVect position(Objet_U::dimension);
  for (num_elem = 0; num_elem < nb_elem_tot; num_elem++)
    for (j = 0; j < nb_som_elem; j++)
      {
        num_som = mon_dom.sommet_elem(num_elem, j);
        //        Cerr << "num_som " << num_som << finl;
        for (int k = 0; k < Objet_U::dimension; k++)
          position(k) = dom.coord(num_som, k);
        //        Cerr << "position " << position << finl;
        if (num_som < nb_som)
          {
            compteur[num_som]++;
            for (ncomp = 0; ncomp < nb_compo_; ncomp++)
              {
                ch_som(num_som, ncomp) += valeur_a_elem_compo(position, num_elem, ncomp);
                //   Cerr << "ch_som " <<  ch_som(num_som,ncomp)  << finl;
              }
          }
      }
 
  for (num_som = 0; num_som < nb_som; num_som++)
    for (ncomp = 0; ncomp < nb_compo_; ncomp++)
      ch_som(num_som, ncomp) /= compteur[num_som];
 
  return ch_som;
}
DoubleVect& Champ_Q1NC_implementation::valeur_aux_sommets_compo(const Domaine& dom, DoubleVect& ch_som, int ncomp) const
{
  // Cerr << "Champ_Q1NC_implementation::valeur_aux_sommets_compo " << finl;
  const Domaine_dis_base& domaine_dis = get_domaine_dis();
  const Domaine& mon_dom = domaine_dis.domaine();
  int nb_elem_tot = mon_dom.nb_elem_tot(), nb_som = mon_dom.nb_som(), nb_som_elem = mon_dom.nb_som_elem();
  IntVect compteur(nb_som);
  int num_elem, num_som, j;
  ch_som = 0;
  compteur = 0;
 
  DoubleVect position(Objet_U::dimension);
  for (num_elem = 0; num_elem < nb_elem_tot; num_elem++)
    for (j = 0; j < nb_som_elem; j++)
      {
        num_som = mon_dom.sommet_elem(num_elem, j);
        for (int k = 0; k < Objet_U::dimension; k++)
          position(k) = dom.coord(num_som, k);
 
        if (num_som < nb_som)
          {
            compteur[num_som]++;
            ch_som(num_som) += valeur_a_elem_compo(position, num_elem, ncomp);
          }
      }
  for (num_som = 0; num_som < nb_som; num_som++)
    ch_som(num_som) /= compteur[num_som];
 
  return ch_som;
}
 
DoubleTab& Champ_Q1NC_implementation::remplir_coord_noeuds(DoubleTab& noeuds) const
{
  const Domaine_VEF& zvef = domaine_vef();
  const DoubleTab& xv = zvef.xv();
  int nb_fac = zvef.nb_faces();
  if ((xv.dimension(0) == nb_fac) && (xv.line_size() == Objet_U::dimension))
    noeuds.ref(xv);
  else
    {
      Cerr << "Error in Champ_Q1NC_implementation::remplir_coord_noeuds()" << finl;
      Cerr << "The face centers of gravity have not been computed" << finl;
      Process::exit();
    }
  return noeuds;
}
 
int Champ_Q1NC_implementation::remplir_coord_noeuds_et_polys(DoubleTab& positions, IntVect& polys) const
{
  remplir_coord_noeuds(positions);
  const Domaine_VEF& zvef = domaine_vef();
  const IntTab& face_voisins = zvef.face_voisins();
  int nb_faces = zvef.nb_faces();
  polys.resize(nb_faces);
 
  for (int i = 0; i < nb_faces; i++)
    polys(i) = face_voisins(i, 0);
 
  return 1;
}
 
//
// Creates an array of geometric parameters
// (tab_param) at the start of the computation for the shape functions
// (see the inlines in Champ_Q1NC_implementation.h)
//
void Champ_Q1NC_implementation::transforme_coord2D()
{
  //  const Domaine_VEF& domaine_VEF = le_dom_vef.valeur();
  const Domaine_VEF& domaine_VEF = domaine_vef();
  const Domaine& domaine_geom = get_domaine_geom();
  const int nb_elem_tot = domaine_VEF.nb_elem_tot();
  const IntTab& sommet_face = domaine_VEF.face_sommets();
  const IntTab& elem_faces = domaine_VEF.elem_faces();
  const Domaine& dom = domaine_geom;
  const DoubleTab& coords = dom.les_sommets();
  double lec0, lec1, alpha, beta;
  int i, poly, som0, som1;
  //
  //
  tab_param.resize(nb_elem_tot, 6);
  int Nb_noeud_elem = 4;
  DoubleVect le_coord0(Nb_noeud_elem), le_coord1(Nb_noeud_elem);
  for (poly = 0; poly < nb_elem_tot; poly++)
    {
      for (i = 0; i < Nb_noeud_elem; i++)
        {
          som0 = sommet_face(elem_faces(poly, i), 0);
          som1 = sommet_face(elem_faces(poly, i), 1);
          le_coord0(i) = 0.5 * (coords(som0, 0) + coords(som1, 0));
          le_coord1(i) = 0.5 * (coords(som0, 1) + coords(som1, 1));
        }
      //
      // compute ksi
      //
      // ksi = a_ksi x + b_ksi y + c_ksi
      // ksi = [ (x2-x0) x + (y2-y0) y ] alpha + beta
      // a_ksi = alpha (x2-x0)
      // b_ksi = alpha (y2-y0)
      // c_ksi = beta
      //
      // ou ksi(x0,y0) = -1     eqn(1)
      // et ksi(x2,y2) = 1      eqn(2)
      //
      // so (2)-(1) gives
      // alpha = 2/[ (x2-x0)x2 - (x2-x0)x0 + (y2-y0)y2 - (y2-y0)y0 ]
      // beta  = 1 - [(x2-x0)x2 + (y2-y0)y2] alpha
      //
      lec0 = carre(le_coord0(2)) + carre(le_coord0(0)) - 2. * le_coord0(2) * le_coord0(0);
      lec1 = carre(le_coord1(2)) + carre(le_coord1(0)) - 2. * le_coord1(2) * le_coord1(0);
      alpha = 2. / (lec0 + lec1);
      lec0 = (le_coord0(2) - le_coord0(0)) * le_coord0(2);
      lec1 = (le_coord1(2) - le_coord1(0)) * le_coord1(2);
      beta = 1. - (lec0 + lec1) * alpha;
      //
      tab_param(poly, 0) = alpha * (le_coord0(2) - le_coord0(0));
      tab_param(poly, 1) = alpha * (le_coord1(2) - le_coord1(0));
      tab_param(poly, 2) = beta;
      //
      // compute eta
      //
      lec0 = carre(le_coord0(3)) + carre(le_coord0(1)) - 2. * le_coord0(3) * le_coord0(1);
      lec1 = carre(le_coord1(3)) + carre(le_coord1(1)) - 2. * le_coord1(3) * le_coord1(1);
      alpha = 2. / (lec0 + lec1);
      lec0 = (le_coord0(3) - le_coord0(1)) * le_coord0(3);
      lec1 = (le_coord1(3) - le_coord1(1)) * le_coord1(3);
      beta = 1. - (lec0 + lec1) * alpha;
      //
      tab_param(poly, 3) = alpha * (le_coord0(3) - le_coord0(1));
      tab_param(poly, 4) = alpha * (le_coord1(3) - le_coord1(1));
      tab_param(poly, 5) = beta;
    }
}
 
void Champ_Q1NC_implementation::transforme_coord3D()
{
  const Domaine_VEF& domaine_VEF = domaine_vef();
  const Domaine& domaine_geom = get_domaine_geom();
  const int nb_elem_tot = domaine_VEF.nb_elem_tot();
  const IntTab& sommet_face = domaine_VEF.face_sommets();
  const IntTab& elem_faces = domaine_VEF.elem_faces();
  const Domaine& dom = domaine_geom;
  const DoubleTab& coords = dom.les_sommets();
  double lec0, lec1, lec2;
  double alpha, beta;
  int i, poly;
  int som0, som1, som2, som3;
  tab_param.resize(nb_elem_tot, 12);
  //
  //
  int Nb_noeud_elem = 6;
  DoubleVect le_coord0(Nb_noeud_elem), le_coord1(Nb_noeud_elem), le_coord2(Nb_noeud_elem);
  for (poly = 0; poly < nb_elem_tot; poly++)
    {
      for (i = 0; i < Nb_noeud_elem; i++)
        {
          som0 = sommet_face(elem_faces(poly, i), 0);
          som1 = sommet_face(elem_faces(poly, i), 1);
          som2 = sommet_face(elem_faces(poly, i), 2);
          som3 = sommet_face(elem_faces(poly, i), 3);
          le_coord0(i) = 0.25 * (coords(som0, 0) + coords(som1, 0) + coords(som2, 0) + coords(som3, 0));
          le_coord1(i) = 0.25 * (coords(som0, 1) + coords(som1, 1) + coords(som2, 1) + coords(som3, 1));
          le_coord2(i) = 0.25 * (coords(som0, 2) + coords(som1, 2) + coords(som2, 2) + coords(som3, 2));
        }
      //
      // compute ksi
      //
      lec0 = carre(le_coord0(3)) + carre(le_coord0(0)) - 2. * le_coord0(3) * le_coord0(0);
      lec1 = carre(le_coord1(3)) + carre(le_coord1(0)) - 2. * le_coord1(3) * le_coord1(0);
      lec2 = carre(le_coord2(3)) + carre(le_coord2(0)) - 2. * le_coord2(3) * le_coord2(0);
      alpha = 2. / (lec0 + lec1 + lec2);
      lec0 = (le_coord0(3) - le_coord0(0)) * le_coord0(3);
      lec1 = (le_coord1(3) - le_coord1(0)) * le_coord1(3);
      lec2 = (le_coord2(3) - le_coord2(0)) * le_coord2(3);
      beta = 1. - (lec0 + lec1 + lec2) * alpha;
      //
      tab_param(poly, 0) = alpha * (le_coord0(3) - le_coord0(0));
      tab_param(poly, 1) = alpha * (le_coord1(3) - le_coord1(0));
      tab_param(poly, 2) = alpha * (le_coord2(3) - le_coord2(0));
      tab_param(poly, 3) = beta;
      //
      // compute eta
      //
      lec0 = carre(le_coord0(4)) + carre(le_coord0(1)) - 2. * le_coord0(4) * le_coord0(1);
      lec1 = carre(le_coord1(4)) + carre(le_coord1(1)) - 2. * le_coord1(4) * le_coord1(1);
      lec2 = carre(le_coord2(4)) + carre(le_coord2(1)) - 2. * le_coord2(4) * le_coord2(1);
      alpha = 2. / (lec0 + lec1 + lec2);
      lec0 = (le_coord0(4) - le_coord0(1)) * le_coord0(4);
      lec1 = (le_coord1(4) - le_coord1(1)) * le_coord1(4);
      lec2 = (le_coord2(4) - le_coord2(1)) * le_coord2(4);
      beta = 1. - (lec0 + lec1 + lec2) * alpha;
      //
      tab_param(poly, 4) = alpha * (le_coord0(4) - le_coord0(1));
      tab_param(poly, 5) = alpha * (le_coord1(4) - le_coord1(1));
      tab_param(poly, 6) = alpha * (le_coord2(4) - le_coord2(1));
      tab_param(poly, 7) = beta;
      //
      // compute psi
      //
      lec0 = carre(le_coord0(5)) + carre(le_coord0(2)) - 2. * le_coord0(5) * le_coord0(2);
      lec1 = carre(le_coord1(5)) + carre(le_coord1(2)) - 2. * le_coord1(5) * le_coord1(2);
      lec2 = carre(le_coord2(5)) + carre(le_coord2(2)) - 2. * le_coord2(5) * le_coord2(2);
      alpha = 2. / (lec0 + lec1 + lec2);
      lec0 = (le_coord0(5) - le_coord0(2)) * le_coord0(5);
      lec1 = (le_coord1(5) - le_coord1(2)) * le_coord1(5);
      lec2 = (le_coord2(5) - le_coord2(2)) * le_coord2(5);
      beta = 1. - (lec0 + lec1 + lec2) * alpha;
      //
      tab_param(poly, 8) = alpha * (le_coord0(5) - le_coord0(2));
      tab_param(poly, 9) = alpha * (le_coord1(5) - le_coord1(2));
      tab_param(poly, 10) = alpha * (le_coord2(5) - le_coord2(2));
      tab_param(poly, 11) = beta;
    }
}