Inviscid Water-Waves and interface modeling
Mathematical Physics
2023-12-22 v2 Numerical Analysis
Analysis of PDEs
math.MP
Numerical Analysis
Fluid Dynamics
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.
Cite
@article{arxiv.2306.02363,
title = {Inviscid Water-Waves and interface modeling},
author = {Emmanuel Dormy and Christophe Lacave},
journal= {arXiv preprint arXiv:2306.02363},
year = {2023}
}
Comments
Accepted for publication in Quarterly of Applied Mathematics