The open source CFD toolbox
Realizable k-epsilon

Note
Under construction - please check again later

# Model equations

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:

$C_{\mu} = \frac{1}{A_0 + A_s U^{*} \frac{k}{\epsilon}}$

# Usage

The model is specified using:

RAS
{
turbulence      on;
RASModel        realizableKE;
}


Walls

# Further information

Source code:

References:

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