A quasi-realizable cubic low-reynolds eddy-viscosity turbulence model witha new dissipation rate equation

A non-linear relationship of the Reynolds stresses in function of the strai n rate and vorticity tensors, with terms up to third order, is developed. A nisotropies in the normal stresses, influence from streamline curvature or rotation of the reference frame, and swirl effects are accounted for. The r elationship is linked to a k-epsilon model with a modified transport equati on for the dissipation rate. A new low-Reynolds source term is introduced a nd a model parameter is written in terms of dimensionless rate-of-strain an d vorticity. The model is checked on different realizability constraints. I t is shown that practically all constraints are fulfilled. The model is num erically tested on a fully developed channel and pipe flow, both stationary and rotating. The plane jet-round jet anomaly is addressed. Finally, the m odel is applied to the flow over a backward-facing step. Results are compar ed with a linear low-Reynolds k-epsilon model and the shear stress transpor t model.