NS-ω model for fluid–fluid interaction problems at high Reynolds numbers

We consider a fluid–fluid interaction problem, where two flows are coupled through a nonlinear rigid lid condition, and one or both of these flows are at high Reynolds numbers. A method is proposed, that combines the NS-ω turbulence model with a partitioning method—so that the resulting model is efficiently decoupled, allows for the usage of preexisting solvers (e.g., air and water domain solvers), and is capable of resolving the flows at high Reynolds numbers. The model is shown to be unconditionally stable and have optimal convergence properties. The model also allows for the non-filtered velocity in the interface terms; it has been shown recently that filtering the velocity in the interface terms could corrupt the quality of the model's solution. To the best of the authors’ knowledge, this is the first model with non-filtered velocity on the interface, that lends itself to full numerical analysis.