The k-Omega Model

In this chapter, two κ-ω equation models will be explained: the standard model and the Shear-Stress Transport (SST) model. Both models share similarities, yet there are two main differences between them:

1. The modification from the standard κ-ω model within the boundary layer to areas outside the boundary layer with high Reynolds numbers.
2. The modeling of turbulent viscosity, which involves the transport effects of the principal turbulent shear stress.

Unlike the κ-ε model, which is tailored for high Reynolds numbers, Wilcox’s κ-ω model is based on low Reynolds numbers.

Reference:

Caesar Wiratama. Theory and Best Practices of Computational Fluid Dynamics. PT Tensor Karya Nusantara, Yogyakarta. 2025