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$$$$ KMAB     NOTICE  CHAT      11/09/12    21:16:44     7124           
                                             DATE     11/09/12
                                                                                
    Operateur KMAB                           Voir aussi : NAVI KBBT
    --------------                                        DUDW  EQEX   
                                                           
    SYNTAXE ( EQEX ) :   Cf operateur EQEX                 
    __________________


      'OPER'  'KMAB' coef      'INCO' 'UN' 'PRES'


                                                                                
                                                                                
     Description :
     _____________

 The KBBT operator discretizes the terms Div U and Grad P  by a finite
element method, in order to keep symetric the linear system.
                            -------------

     Contents :
     __________

     coef    coefficient
             FLOTTANT
             or CHPOINT SCAL SOMMET  (volumic porosity)
             or CHPOINT VECT SOMMET  (directional porosity)
             or MOT

     beta    stabilization parameter
             FLOTTANT

     UN      Velocity field
             CHPOINT VECT SOMMET or MOT
     PRES    Pressure field
             CHPOINT SCAL CENTRE   or MOT
             CHPOINT SCAL CENTREP1 or MOT
             CHPOINT SCAL CENTREP0 or MOT
             the type has to be given with the option key word INCOD

  When coefficients are of type MOT, the operator looks for data in INCO
  table at the index corresponding to the given name.


    Comments
    ________

  1/ Variational formulation :

   /               
   | q*Div U dv =  
   |v            

  2/ If all normal velocities are prescribed (zero or not) all around the
     boundaries, it is NECESSARY to impose the pressure at a point.
     It ist the case for all incompressible flows in a closed cavity.

  3/ If the coefficient is of type CHPOINT SCAL SOMMET
    (volumic porosity H) the operator computes :

   /                 /                 /
   | q*Div(H U) dv = | q H Div U dv  + | q U Grad H  dv
   |v                |v                |v

  4/ If the coefficient is of type CHPOINT VECT SOMMET
    (directional Porosity Hi ) the operator computes :

   /
   | q*Div((HU)i) dv
   |v


    Options : (EQEX)
    _________

    OPTI INCOD CENTRE
               CENTREP1
               CENTREP0


 
 
 
 
 
 

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