Shih quadratic k-epsilon

Note
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Properties

  • Incompressible only

Model equations

The turbulence kinetic energy equation is given by:

\[ \Ddt{k} = \div \left(D_k \grad k \right) + G - \epsilon \]

and the dissipation rate by:

\[ \Ddt{\epsilon} = \div \left( D_{\epsilon} \grad \epsilon \right) + C_1 G \frac{\epsilon}{k} - C_2 \frac{\epsilon^2}{k} \]

The turbulence generation, \( G \) is given by:

\[ G = \left[\nu_t \left( \grad \u + \left(\grad \u\right)^T \right) - \tensor{\tau}_{nl}\right] \colon \grad \u \]

where \( \tensor{\tau}_{nl} \) is the non-linear stress.

Default model coefficients

Usage

The model is specified using:

RAS
{
    turbulence      on;
    RASModel        ShihQuadraticKE;
}

Further information

Source code:

Reference:


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