Inviscid Water-Waves and interface modeling - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2023

Inviscid Water-Waves and interface modeling

Résumé

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.
Fichier principal
Vignette du fichier
WaterWaves.pdf (1.03 Mo) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)

Dates et versions

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

Licence

Identifiants

Citer

Emmanuel Dormy, Christophe Lacave. Inviscid Water-Waves and interface modeling. 2023. ⟨hal-04119856v3⟩
66 Consultations
124 Téléchargements

Altmetric

Partager

More