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Dynamic k equation

Properties​

Model equations​

The turbulence kinetic energy equation is given by:

DDt(ρk)=∇ ∙ (ρDk∇k)+ρG−23ρk∇ ∙ u−Ceρk1.5Δ+Sk \Ddt{\rho k} = \div \left( \rho D_k \grad k \right) + \rho G - \frac{2}{3} \rho k \div \u - \frac{C_e \rho k^{1.5}}{\Delta} + S_k

The CeC_e and CkC_k coefficients are derived from local flow properties.

Default model coefficients​

None

Initialisation​

Usage​

The model is specified using:

LES
{
    turbulence      on;
    LESModel        dynamicKEqn;
}

Boundary conditions​

Inlet

Outlet

Walls

  • wall functions

Further information​

Source code:

References:

  • Kim and Menon 27