Experimental evidence of the modulation of a plane wave to oblique perturbations and generation of rogue waves in finite water depth

A. Toffoli, L. Fernandez, J. Monbaliu, M. Benoit, E. Gagnaire-Renou, J. M. Lefèvre, L. Cavaleri, Davide Proment, C. Pakozdi, C. T. Stansberg, T. Waseda, M. Onorato

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Abstract

We present a laboratory experiment in a large directional wave basin to discuss the instability of a plane wave to oblique side band perturbations in finite water depth. Experimental observations, with the support of numerical simulations, confirm that a carrier wave becomes modulationally unstable even for relative water depths k0h < 1.36 (with k the wavenumber of the plane wave and h the water depth), when it is perturbed by appropriate oblique disturbances. Results corroborate that the underlying mechanism is still a plausible explanation for the generation of rogue waves in finite water depth.
Original languageEnglish
Article number091701
JournalPhysics of Fluids
Volume25
Issue number9
DOIs
Publication statusPublished - 1 Jan 2013

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