Domaine_PolyMAC_CDO.h

 
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#ifndef Domaine_PolyMAC_CDO_included
#define Domaine_PolyMAC_CDO_included
 
#include <Echange_global_impose.h>
#include <Neumann_sortie_libre.h>
#include <Domaine_Poly_base.h>
#include <Matrice_Morse_Sym.h>
#include <Neumann_homogene.h>
#include <SolveurSys.h>
#include <Periodique.h>
#include <Dirichlet.h>
#include <Symetrie.h>
 
class Domaine_PolyMAC_CDO : public Domaine_Poly_base
{
  Declare_instanciable(Domaine_PolyMAC_CDO);
public :
  void discretiser() override;
  void swap(int, int, int) { }
  void modifier_pour_Cl(const Conds_lim& ) override;
  void init_equiv() const override;
 
  inline const IntTab& arete_faces() const { return arete_faces_; }
  void calculer_volumes_entrelaces() override;
  void calculer_h_carre() override;
 
  inline double dot (const double *a, const double *b, const double *ma = nullptr, const double *mb = nullptr) const { return dot(dimension, a, b, ma, mb); }
  KOKKOS_INLINE_FUNCTION double dot (const int dim, const double *a, const double *b, const double *ma = nullptr, const double *mb = nullptr) const;
 
  IntVect cyclic; // cyclic(i) = 1 i le poly i est cyclique
 
  //quelles structures optionelles on a initialise
  mutable std::map<std::string, int> is_init;
  //interpolations d'ordre 1 du vecteur vitesse aux elements
  void init_ve() const;
  mutable IntTab vedeb, veji; //reconstruction de ve par (veji, veci)[vedeb(e), vedeb(e + 1)[ (faces)
  mutable DoubleTab veci;
 
  //rotationnel aux faces d'un champ tangent aux aretes
  void init_rf() const;
  mutable IntTab rfdeb, rfji; //reconstruction du rotationnel par (rfji, rfci)[rfdeb(f), rfdeb(f + 1)[ (champ aux aretes)
  mutable DoubleTab rfci;
 
  //stabilisation d'une matrice de masse mimetique en un element : dans PolyMAC_CDO -> m1 ou m2
  inline void ajouter_stabilisation(DoubleTab& M, DoubleTab& N) const;
  inline int W_stabiliser(DoubleTab& W, DoubleTab& R, DoubleTab& N, int *ctr, double *spectre) const;
 
  //matrice mimetique d'un champ aux faces : (valeur normale aux faces) -> (integrale lineaire sur les lignes brisees)
  void init_m2() const;
  // ToDo passer ces tableaux en IntVect et DoubleVect:
  mutable IntTab m2d, m2i, m2j, w2i, w2j; //stockage: lignes de M_2^e dans m2i([m2d(e), m2d(e + 1)[), indices/coeffs de ces lignes dans (m2j/m2c)[m2i(i), m2i(i+1)[
  mutable DoubleTab m2c, w2c;             //          avec le coeff diagonal en premier (facilite Echange_contact_PolyMAC_CDO)
  void init_m2solv() const; //pour resoudre m2.v = s
  mutable Matrice_Morse_Sym m2mat;
  mutable SolveurSys m2solv;
 
  //interpolation aux elements d'ordre 1 d'un champ defini par ses composantes tangentes aux aretes (ex. : la vorticite)
  inline void init_we() const;
  void init_we_2d() const;
  void init_we_3d() const;
  mutable IntTab wedeb, weji; //reconstruction de we par (weji, weci)[wedeb(e), wedeb(e + 1)[ (sommets en 2D, aretes en 3D)
  mutable DoubleTab weci;
 
  //matrice mimetique d'un champ aux aretes : (valeur tangente aux aretes) -> (flux a travers l'union des facettes touchant l'arete)
  void init_m1() const;
  void init_m1_2d() const;
  void init_m1_3d() const;
  mutable IntTab m1deb, m1ji; //reconstruction de m1 par (m1ji(.,0), m1ci)[m1deb(a), m1deb(a + 1)[ (sommets en 2D, aretes en 3D); m1ji(.,1) contient le numero d'element
  mutable DoubleTab m1ci;
 
  //std::map permettant de retrouver le couple (proc, item local) associe a un item virtuel pour le mdv_elem_faces
  void init_virt_ef_map() const;
  mutable std::map<std::array<int, 2>, int> virt_ef_map;
 
  //matrices locales par elements (operateurs de Hodge) permettant de faire des interpolations :
  void M2(const DoubleTab *nu, int e, DoubleTab& m2) const; //normales aux faces -> tangentes aux faces duales :   (nu x_ef.v)    = m2 (|f|n_ef.v)
  void W2(const DoubleTab *nu, int e, DoubleTab& w2) const; //tangentes aux faces duales -> normales aux faces :   (nu |f|n_ef.v) = w2 (x_ef.v)
 
private:
  void init_m2_new() const;
  void init_m2_osqp() const;
 
  mutable IntTab arete_faces_; //connectivite face -> aretes
};
 
/* produit scalaire de deux vecteurs */
KOKKOS_INLINE_FUNCTION double Domaine_PolyMAC_CDO::dot(const int dim, const double *a, const double *b, const double *ma, const double *mb) const
{
  double res = 0;
  for (int i = 0; i < dim; i++) res += (a[i] - (ma ? ma[i] : 0)) * (b[i] - (mb ? mb[i] : 0));
  return res;
}
 
#endif /* Domaine_PolyMAC_CDO_included */