A surface capturing method is developed for steady water-air flow with gravity. Second-order accuracy is obtained with flux limiting and turbulence is modeled with Menter's model. The model is solved efficiently with a combination of multigrid and defect correction. Results for two test cases confirm the efficiency and accuracy of the method.

steady water waves, surface capturing, RANS, Menter model, multigrid, defect correction"
Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods (msc 65N30), Multigrid methods; domain decomposition (msc 65N55), Turbulent boundary layers (msc 76F40)
Life Sciences (theme 5), Energy (theme 4)
Modelling, Analysis and Simulation [MAS]
Scientific Computing

Wackers, J, & Koren, B. (2007). Accurate and efficient computation of steady water flow with surface waves and turbulence. Modelling, Analysis and Simulation [MAS]. CWI.