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$$$$ FPU      NOTICE  CHAT      11/09/12    21:16:19     7124           
                                             DATE     11/09/12
                                                                                
  Operateur FPU                           Voir aussi :
     -------------   
     Syntaxe (EQEX) : Cf Operateur EQEX
     ________________


 1ere syntaxe
 
     Formulation EFM1 :
     
        'OPER' 'FPU' NU UET YP           'INCO' 'UN' 'KN' 'EN'
 
 2eme syntaxe

     Formulation EF :
     
        'OPER' 'FPU' RO UN MU UET YP     'INCO' 'UN' <'KN' 'EN'>

 3eme syntaxe

     Formulation EF :
     
        'OPER' 'FPU' RO UN MU UET $mt NUEFF 'INCO' 'UN'





                                                                                
                                                                                
     Description :
     _____________
                                                                                
     Operator FPU discretizes a wall function type boundary condition.
     The Van Driest length scale [1] is used. The Solution U+ of the
     equation is tabulated from Y+ = 1 to 100. The classical Log law
     is used for Y+>100.

     The corresponding boundary conditions for K and Epsilon,
     (Turbulence model) are computed if this unknowns are present.

     For the momentum equation the boundary condition is of Neumann
     type. For K and Epsilon the boundary condition are Dirichlet
     condition.
     In case of EFM1 formulation K and Epsilon are mandatory.


 [1] On Turbulent Flow Near a Wall. R.H. Van Driest.
     Journal of the Aeronautical Sciences (Nov 1956)

     Contents :
     __________

  NU     molecular kinetic viscosity (m**2/s)       FLOTTANT
  YP     distance from the wall of the first mesh point(M)
                                                    FLOTTANT
         The first mesh point must be in the boundary layer.
         Y+ comprised between 30 and 300 is ideal.(a posteriori
         verification  Y+=YP*UET/NU)

  UET    friction velocity (m/s):
         EFM1 formulation EFM1                     CHPOINT SCAL CENTRE
                                                   MOT
         EF formulation                            CHPOINT SCAL SOMMET
                                                   MOT

  UN     Velocity field (m/s)                      CHPOINT VECT SOMMET
     Turbulent kinetic energie                 CHPOINT SCAL SOMMET
     dissipation rate of K                     CHPOINT SCAL SOMMET

     The friction velocity, UET has to be initialized whith the EFM1
     formulation. If not numerical difficulties can occur.

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


     OPTION
     ______


     Finite Element Formulation                 OPTION EFM1 (default)
                                                OPTION EF

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