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Inviscid Water-Waves and interface modeling (2306.02363v2)
Published 4 Jun 2023 in math-ph, cs.NA, math.AP, math.MP, math.NA, and physics.flu-dyn
Abstract: We present a rigorous mathematical analysis of the modeling of inviscid water waves. The free-surface is described as a parametrized curve. We introduce 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 suffices to achieve numerical convergence up to the splash without the need for additional filtering.