CMS-Flow:Subgrid Turbulence Model

Subgrid Turbulence Model

In CMS-Flow eddy viscosity is calculated as

     ${\nu }_t={\nu }_{t0}+{\nu }_c+{\nu }_w$

where ${\nu }_{t0}$ is a base value approximately equal to the dynamic viscosity, and $c_0$ is an empirical coefficient approximately equal to 1/6, $c_{sm}$ is an empirical coefficient (Smagorinsky coefficient) between 0.25-0.5,

The wave component of the eddy viscosity is calculated as

     ${\nu }_w=k(D/\rho {)}^{1/3}$

where $k$ is an empirical coefficient, $\rho$ is the water density, and $D$ is the total wave dissipation.

     ${\nu }_{tc}={\nu }_{t0}+\sqrt{(c_0{u}_{*}h{)}^2+(c_{sm}^2\mathrm{\Delta }x\mathrm{\Delta }y|S|{)}^2}+k(D/\rho {)}^{1/3}$

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CMS-Flow