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RNG-LES model

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Based on Renormalization Group Theory.
Here  
\mu _{eff}  = \mu \left[ {1 + H\left( x \right)} \right]^{1/3}
.
The function  H\left( x \right) is defined as:



H\left( x \right)  = \left\{ 

\begin{matrix}


   {x  } & { ; } & {x  > 0}  \\ 
   {0  } & { ; } & {x  \le 0}  \\ 
 


\end{matrix}


  \right.


x is given by 
x = {{\mu _s \mu _{eff} } \over {\mu ^3 }} - C

Where  {C = 100} and \mu _s is given by:

 
\mu _s  = \rho \left[ {C_{rng}} Vol^{1/3} \right]^{2} \begin{vmatrix} S \end{vmatrix}


Where  C_{rng}  is given by

 
{C_{rng}  = 0.157}
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