# RNG-LES model

(Difference between revisions)
 Revision as of 08:19, 13 September 2005 (view source)Zxaar (Talk | contribs)← Older edit Revision as of 08:23, 13 September 2005 (view source)Zxaar (Talk | contribs) Newer edit → Line 3: Line 3: \mu _{eff}  = \mu \left[ {1 + H\left( x \right)} \right]^{1/3} \mu _{eff}  = \mu \left[ {1 + H\left( x \right)} \right]^{1/3} [/itex] .
[/itex] .
- Where $H\left( x \right)$ is given by:
+ The function $H\left( x \right)$ is defined as:
:$:[itex] Line 29: Line 29: :[itex] :[itex] \mu _s = \rho \left[ {C_{rng}} Vol^{1/3} \right]^{2} \begin{vmatrix} S \end{vmatrix} \mu _s = \rho \left[ {C_{rng}} Vol^{1/3} \right]^{2} \begin{vmatrix} S \end{vmatrix} +$ +
+ Where $C_{rng}$ is given by
+ :$+ {C_{rng} = 0.157}$ [/itex]

## Revision as of 08:23, 13 September 2005

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:

$H\left( x \right) \begin{matrix} = x \begin{matrix} {} & ; & {x > 0} \\ \end{matrix} \\ = 0 \begin{matrix} {} & ; & {x \le 0} \\ \end{matrix} \end{matrix}$

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

${C_{rng} = 0.157}$