Simpler_Base.h

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#ifndef Simpler_Base_included
#define Simpler_Base_included
 
#include <Solveur_non_lineaire.h>
#include <Parametre_implicite.h>
#include <TRUSTTabs_forward.h>
#include <Nom.h>
 
class Solveur_Implicite_base;
class Schema_Temps_base;
class Equation_base;
class Matrice_Morse;
class Matrice;
class Sources;
class Motcle;
 
//Description
//
//Classe de base des classes dediees a la resolution implicite d une equation
//L equation est discretisee sous la forme suivante :
// (M/dt + C(U) + D)Xn+1 = Sv + Ss + (M/dt)Xn
// avec
// C(U) matrice de convection
// D    matrice de diffusion
// M    matrice de masse
// Sv   terme source volumique
// Ss  terme source surfacique (condition de Neumann)
// Xn et Xn+1 designe l inconnue respectivement aux temps tn et tn+1
//
// A chaque etape en temps (tn) on va traiter la resolution du systeme suivant :
//         A[Xk] = b[Xk]
// avec
// A[Xk] = (M/dt + C(Uk) + D)
// b[Xk] = Sv + Ss + (M/dt)Xk
// k designe un indice d iteration pour la resolution iterative du systeme matriciel (tn fixe)
 
// La methode de resolution employee pour determiner X est une methode de point fixe :
// On pose f(Xk) = A[Xk]Xk -b[Xk] ainsi Xsol solution verifie f(Xsol) = 0
// Le developpement limite au premier ordre donne la relation :
// Xk - Xk+1 = f(Xk)/f'(Xk)
// En faisant l hyposthese que f' = A (pas vrai en toute rigueur pour la partie convection)
// le systeme s ecrit : A[Xk](Xk-Xk+1) = f(Xk) ou encore
//                                 A[Xk]Xk+1 = A[Xk]Xk - (A[Xk]Xk-Ss) + Sv +(M/dt)Xk
//
//
// Methode iterer_eqn() pour traiter une equation autre que Navier_Stokes
// - fait construire la matrice (matrice) et le second membre (resu) par l equation (assembler_avec_inertie(...))
// - declenche la resolution du systeme matriciel (le_solveur_.resoudre_systeme(...))
 
// Methode iterer_NS() appelee par iterer_eqn() pour traiter le cas specifique de l equation de Navier_Stokes
// Les algorithmes disponibles sont : Simple - Simpler - Piso - Implicite
// Voir classes filles de Simpler_base pour la description des algorithmes respectifs
 
 
class Simpler_Base : public  Solveur_non_lineaire
{
  Declare_base_sans_constructeur(Simpler_Base);
 
public :
 
  inline int max_iter_implicite();
  inline int max_iter_implicite() const;
 
  bool iterer_eqn(Equation_base& equation, const DoubleTab& inconnue, DoubleTab& result, double dt, int numero_iteration, int& ok) override =0;
 
  virtual void iterer_NS(Equation_base&, DoubleTab& current, DoubleTab& pression, double, Matrice_Morse&, double, DoubleTrav&,int nb_iter,int& converge, int& ok)=0;
 
  void assembler_matrice_pression_implicite(Equation_base& eqn_NS,const Matrice_Morse& matrice,Matrice& matrice_en_pression_2);
 
protected :
 
  int no_qdm_;
  double facsec_diffusion_for_sets_ = -1.;
 
  Entree& lire(const Motcle&, Entree&) override;
  int get_controle_residu() const override { return controle_residu_; }
};
 
#endif