k-kl-omega

Table of Contents

• Properties
• Model equations
• Default model coefficients
• Usage
• Further information

Note

Under construction - please check again later

Properties

• incompressible only
• three-equation model
• low Reynolds number
• transition modelling

Model equations

Specific dissipation rate equation:

\[ \Ddt{\omega} = \div \left(D_\omega \grad \omega\right) + C_{w1} P_{kt} \frac{\omega}{k_t} - \left(1.0 - \frac{C_{wR}}{f_w} \right) k_l \left(R_{bp} + R_{nat}\right) \frac{\omega}{k_t} - C_{w2} f_w^2 \omega^2 + C_{w3} f_\omega \alpha_t f_w^2 \frac{k_t^{0.5}}{y^3} \]

Laminar kinetic energy equation:

\[ \Ddt{k_l} = \div \left( \nu \grad k_l \right) + P_{kl} - R_{bp} + R_{nat} + D_l \]

Turbulent kinetic energy equation:

\[ \Ddt{k_t} = \div \left(D_k \grad k_t\right) + P_{kt} + \left(R_{bp} + R_{nat}\right) k_l - \omega + D_t \]

Default model coefficients

Usage

The model is specified using:

RAS
{
    turbulence      on;
    RASModel        kkLOmega;
}

Further information

Source code:

• Foam::incompressible::RASModels::kkLOmega

References:

• Standard model: Walters and Cokljat [92]
• Corrections to the standard model: Furst [19]

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