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Pré-Publication, Document De Travail Année : 2023

Inviscid Water-Waves and interface modeling

Christophe Lacave

Résumé

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.
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Dates et versions

hal-04119856 , version 1 (06-06-2023)
hal-04119856 , version 2 (06-11-2023)
hal-04119856 , version 3 (12-12-2023)

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Emmanuel Dormy, Christophe Lacave. Inviscid Water-Waves and interface modeling. 2023. ⟨hal-04119856v1⟩

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