Statistics of rogue waves in isotropic wave fields

G. Michel1, F. Bonnefoy2, G. Ducrozet2, and E. Falcon3

1Institut Jean Le Rond d'Alembert, CNRS, Sorbonne Université, F-75 005 Paris, France
2Ecole Centrale de Nantes, LHEEA, UMR 6598 CNRS, F-44 321 Nantes, France
3Université Paris Cité, CNRS, MSC, UMR 7057, F-75 013 Paris, France


Reference: Journal of Fluid Mechanics 943, A26 (2022)

URL: https://doi.org/10.1017/jfm.2022.436
DOI: https://doi.org/10.1017/jfm.2022.436

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.

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