English

Statistics of rogue waves in isotropic wave fields

Fluid Dynamics 2022-06-15 v1 Atmospheric and Oceanic Physics

Abstract

We investigate the statistics of rogue waves occurring in the inverse cascade of surface gravity wave turbulence. In such statistically homogeneous, stationary and isotropic wave fields, low-frequency waves are generated by nonlinear interactions rather than directly forced by a wave maker. This provides a laboratory realization of arguably the simplest nonlinear sea state, in which long-time acquisitions are performed and compared with theoretical models. The analysis of thousands of rogue waves reveals that some of their properties crucially depend on four-wave resonant interactions, large crests being for instance more likely than predicted by second-order models.

Keywords

Cite

@article{arxiv.2206.06681,
  title  = {Statistics of rogue waves in isotropic wave fields},
  author = {Guillaume Michel and Félicien Bonnefoy and Guillaume Ducrozet and Eric Falcon},
  journal= {arXiv preprint arXiv:2206.06681},
  year   = {2022}
}
R2 v1 2026-06-24T11:50:26.269Z