Smagorinsky-Lilly model
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+ | The Smagorinsky model could be summerised as: | ||
+ | :<math> | ||
+ | \tau _{ij} - \frac{1}{3}\tau _{kk} \delta _{ij} = - 2\left( {C_s \bar \Delta } \right)^2 \left| {\bar S} \right|S_{ij} | ||
+ | </math> <br> | ||
+ | |||
In the Smagorinsky-Lilly model, the eddy-viscosity is modeled by <br> | In the Smagorinsky-Lilly model, the eddy-viscosity is modeled by <br> | ||
Revision as of 07:46, 13 September 2005
The Smagorinsky model could be summerised as:
In the Smagorinsky-Lilly model, the eddy-viscosity is modeled by
Where
and
The effective viscosity is calculated from
The Smogorinsky constant usually have the value: