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Implementation of the Low-Reynolds-number Chien model

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Old   March 24, 2010, 19:16
Question Implementation of the Low-Reynolds-number Chien model
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I'm trying to implement the Chien model with OpenFoam, but I have some general doubts on the description of y+.

The Chien model uses y+ for the definition of the damping factors.

Suppose to describe a 2D duct flow in with the following configuration:

HTML Code:

     /\  y
      ------------>  x

->                                                                    ->
->                                                                    ->
->                                                     *             ->
->_________            _ ,       .________,*________->
                  |         |  |         |                
                  |____ _|  |___ __|

y+ is defined as: y+ = (U_t * y) / nu

and U_t(x) = sqrt(tau_w(x) / rho)

y+, U_t, tau_w are functions of x!!!

It is necessary to define for each point (x,y) of the numerical domain the x coordinate in which define y+, U_t and tau_w.

An example:

In both points identified with " * ", tau_w must be evaluated in " , ".
But in the point " ", shall tau_w be associated with " , " or with " . " ?

Does anybody have experience on this aspect? What is the principle to adopt in this task?

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chien, low-re, openfoam, yplus

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