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:

• Foam::incompressible::RASModels::ShihQuadraticKE

Reference:

• Shih et al. [63]