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.

Additional Metadata
Keywords Steady water waves, Surface capturing, Multigrid, Artificial compressibility, Osher flux function
THEME Life Sciences (theme 5), Energy (theme 4)
Publisher Elsevier
Journal Journal of Computational and Applied Mathematics
Project Development of a State-of-the Art Surface-Capturing Method for Two-Fluid Flow
Wackers, J, & Koren, B. (2008). A surface capturing method for the efficient computation of steady water waves. Journal of Computational and Applied Mathematics, 215, 618–625.