Properties🔗
Model equations🔗
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
\[\tensor{D} = \frac{1}{2} \left( \grad \u + \grad (\u)^T \right)\]Default model coefficients🔗
\(C_e\) | \(C_k\) |
---|---|
1.048 | 0.094 |
Initialisation🔗
Usage🔗
The model is specified using:
LES
{
turbulence on;
LESModel Smagorinsky;
}
Boundary conditions🔗
Inlet
Outlet
Walls
- wall functions
Further information🔗
Source code:
References:
- Smagorinsky [64]