Skip to main content

k-kl-ω

Properties​

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

Model equations​

Specific dissipation rate equation:

DDt(ω)=∇ ∙ (Dω∇ω)+Cw1Pktωkt−(1.0−CwRfw)kl(Rbp+Rnat)ωkt−Cw2fw2ω2+Cw3fωαtfw2kt0.5y3 \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(kl)=∇ ∙ (ν∇kl)+Pkl−Rbp+Rnat+Dl \Ddt{k_l} = \div \left( \nu \grad k_l \right) + P_{kl} - R_{bp} + R_{nat} + D_l

Turbulent kinetic energy equation:

DDt(kt)=∇ ∙ (Dk∇kt)+Pkt+(Rbp+Rnat)kl−ω+Dt \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:

References:

  • Standard model: Walters and Cokljat 85
  • Corrections to the standard model: Furst 18