CFD Online Logo CFD Online URL
Home > Wiki > Smagorinsky-Lilly model

Smagorinsky-Lilly model

From CFD-Wiki

Revision as of 07:33, 13 September 2005 by Zxaar (Talk | contribs)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

In the Smagorinsky-Lilly model, the eddy-viscosity is modeled by

\mu _{sgs}  = \rho \left( {C_s \bar \Delta } \right)^2 \left| {\bar S} \right|


\bar \Delta  = \nabla ^{\frac{1}{3}}


\bar S = \sqrt {2S_{ij} S_{ij} }

The effective viscosity is calculated from

\mu _{eff}  = \mu _{mol}  + \mu _{sgs}

The Smogorinsky constant usually have the value:

C_s  = 0.1 - 0.2
My wiki