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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 1 E. Gagnaire-Renou J. M. Lefevre L. Cavaleri 2 D. Proment 3 C. Pakozdi C. T. Stansberg T. Waseda M. Onorato 4 
1 Saint-Venant - Laboratoire d'Hydraulique Saint-Venant / Saint-Venant Laboratory for Hydraulics
2 Institute of Marine Sciences
3 School of Mathematics, University of East Anglia
4 Dipartimento di Fisica [Torino]
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 k(0)h < 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. (C) 2013 AIP Publishing LLC.
Keywords : nonlinear schrodinger-equation random directional waves surface gravity-waves statistical properties numerical simulations frequency downshift freak waves deep-water instabilities evolution
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https://hal.archives-ouvertes.fr/hal-00947780
Contributor : Frédérique Bordignon Connect in order to contact the contributor
Submitted on : Monday, February 17, 2014 - 1:47:57 PM
Last modification on : Thursday, March 10, 2022 - 3:58:07 PM

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A. Toffoli, L. Fernandez, J. Monbaliu, M. Benoit, E. Gagnaire-Renou, et al.. Experimental evidence of the modulation of a plane wave to oblique perturbations and generation of rogue waves in finite water depth. Physics of Fluids, American Institute of Physics, 2013, 25 (9), ⟨10.1063/1.4821810⟩. ⟨hal-00947780⟩

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