An efficient method for the computation of steady water-air flow with gravity is presented. The method is designed for fast solution using multigrid, combined with a line Gauss-Seidel smoother. A capturing model is used for the water surface, with fluxes based on artificial compressibility. 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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Modelling, Analysis and Simulation [MAS]
Scientific Computing

Wackers, J., & Koren, B. (2007). A multigrid method for the computation of steady water waves. Modelling, Analysis and Simulation [MAS]. CWI.