The turbulence viscosity is given by:
\[ \nu_t = C_k \Delta k^{0.5} \]
where the turbulence kinetic energy is given by the solution of the quadratic equation:
\[ a k^2 + b k + c = 0 \]
The coefficients are:
\[ \begin{align} a &= \frac{C_e}{\Delta} \\ b &= \frac{2}{3} \mathrm{tr} (\tensor{D}) \\ c &= 2 C_k \Delta \left( \mathrm{dev}(\tensor{D}) \ddprod \tensor{D} \right) \end{align} \]
and
\[ \tensor{D} = \frac{1}{2} \left( \grad \u + \grad (\u)^T \right) \]
\( C_e \) | \( C_k \) |
---|---|
1.048 | 0.094 |
The model is specified using:
LES { turbulence on; LESModel Smagorinsky; }
Inlet
Outlet
Walls
Source code:
References:
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