Inviscid Water-Waves and interface modeling

06/04/2023

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by   Emmanuel Dormy, et al.

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We present a rigorous mathematical analysis of the modeling of inviscid water waves. The free-surface is described as a parameterized curve. We present a numerically stable algorithm which accounts for its evolution with time. The method is shown to converge using approximate solutions, such as Stokes waves and Green-Naghdi solitary waves. It is finally tested on a wave breaking problem, for which an odd-even coupling suffise to achieve numerical convergence up to the splash without the need for additional filtering.