Modification of the k−ω0 Model for Roughness

Surface roughness plays a substantial role in many flows for which Reynolds averaged prediction is needed. The transformation used in the [Formula: see text] model is extended to rough surfaces by adding an effective origin. The log-layer offset is computed as a function of this effective origin, thereby creating a correspondence between effective origin and equivalent sandgrain roughness. A formula is derived for the virtual origin of the fully rough log law. It is shown how the present model is consistent with the fully rough limit.