K-omega (turbulence model)

The k-omega model is a two-equation RANS turbulence closure that solves transport equations for the turbulent kinetic energy k and the specific dissipation rate omega = epsilon / (beta* k), with eddy viscosity nu_t = k / omega. Wilcox developed the modern form. Its strength is integrating to the wall without damping functions, giving good near-wall and adverse-pressure-gradient behavior, which suits boundary-layer and separated hull flows. Its weakness is sensitivity to the freestream omega value, which can corrupt the result far from walls. That flaw motivated Menter’s SST blend, which uses k-omega near the wall and k-epsilon outside.