Experimental evidence of the modulation of a plane wave to oblique perturbations and generation of rogue waves in finite water depth
Toffoli, A; Fernandez, L.; Monbaliu, J.; Benoit, M; Gagnaire-Renou, E; Lefevre, M; Cavaleri, L; Proment, D; Pakozdi, C; Stansberg, T; Waseda, T; Onorato, M (2013). Experimental evidence of the modulation of a plane wave to oblique perturbations and generation of rogue waves in finite water depth. Phys. Fluids 25(9): 091701. https://dx.doi.org/10.1063/1.4821810
In: Physics of Fluids. American Institute of Physics: Woodbury, NY. ISSN 1070-6631; e-ISSN 1089-7666
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.
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