A surface capturing method is developed for the computation of steady water-air flow with gravity. Fluxes are based on artificial compressibility and the method is solved with a multigrid technique and line Gauss-Seidel smoother. A test on a channel flow with a bottom bump shows the accuracy of the method and the efficiency of the multigrid solver.

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CWI
Modelling, Analysis and Simulation [MAS]
Scientific Computing

Wackers, J., & Koren, B. (2005). A surface capturing method for the efficient computation of steady water waves.. Modelling, Analysis and Simulation [MAS]. CWI.