The turbulence kinetic energy equation is given by:
\[ \Ddt{\rho k} = \div \left(\rho D_k \grad k\right) + \rho G - \frac{2}{3}\rho \left(\div \u\right) k - \rho \epsilon + S_k \]
and the dissipation rate by:
\[ \Ddt{\rho \epsilon} = \div \left(\rho D_\epsilon \grad \epsilon \right) + C_1 \rho \mag{\tensor{S}} \epsilon - C_2 \rho \frac{\epsilon^2}{k + \left(\nu \epsilon\right)^{0.5}} + S_\epsilon \]
The turbulence viscosity is calculated using:
\[ \nu_t = C_{\mu} \frac{k^2}{\epsilon} \]
where the \( C_{\mu} \) is given by:
\[ C_{\mu} = \frac{1}{A_0 + A_s U^{*} \frac{k}{\epsilon}} \]
The model is specified using:
RAS { turbulence on; RASModel realizableKE; }
Walls
Source code:
References:
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