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.

     $\nu _{tc}=\nu _{t0}+{\sqrt {(c_{0}u_{*}h)^{2}+(c_{sm}^{2}\Delta x\Delta y|S|)^{2}}}+k(D/\rho )^{1/3}$

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CMS-Flow