The standard κ-ω model involves modifications considering low Reynolds number effects, compressibility, and shear flow spreading based on Wilcox’s modeling.
One drawback of the Wilcox model is its sensitivity in regions outside the shear layer (in the free stream area).
The standard κ-ω model is an empirical modeling approach based on the transport equations of turbulence kinetic energy and the specific dissipation rate, ω, which is the ratio of ε and κ.
The form of the transport equations for the standard κ-ω model is as follows:
(6.12)
And,
(6.13)
In the equations above, G,k represents the production of turbulence kinetic energy from the mean velocity gradient, G,omega represents the creation of specific dissipation rate, Gamma,k and Gamma,omega represent effective diffusivity, Y,k and Gamma,omega represent turbulence dissipation, while S,k and S,omega are source terms.
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