# RNG-LES model

### From CFD-Wiki

(Difference between revisions)

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The function <math> H\left( x \right) </math> is defined as: <br> | The function <math> H\left( x \right) </math> is defined as: <br> | ||

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- | \end{matrix} | + | <math> |

- | </math> | + | H\left( x \right) = \left\{ |

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+ | \begin{matrix} | ||

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+ | {x } & { ; } & {x > 0} \\ | ||

+ | {0 } & { ; } & {x \le 0} \\ | ||

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+ | \end{matrix} | ||

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+ | \right. | ||

+ | </math> | ||

<br> | <br> | ||

- | x is given by <math> | + | '''x''' is given by <math> |

x = {{\mu _s \mu _{eff} } \over {\mu ^3 }} - C | x = {{\mu _s \mu _{eff} } \over {\mu ^3 }} - C | ||

</math> | </math> | ||

- | Where <math> {C = 100} </math> and <math>\mu _s </math> is given by: <br> | + | Where '''<math> {C = 100} </math>''' and '''<math>\mu _s </math>''' is given by: <br> |

:<math> | :<math> | ||

\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} | ||

</math> | </math> | ||

<br> | <br> | ||

- | Where <math> C_{rng} </math> is given by <br> | + | Where '''<math> C_{rng} </math>''' is given by <br> |

:<math> | :<math> | ||

{C_{rng} = 0.157} | {C_{rng} = 0.157} | ||

</math> | </math> |

## Latest revision as of 06:27, 27 September 2005

Based on Renormalization Group Theory.

Here .

The function is defined as:

**x** is given by

Where and is given by:

Where is given by