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Nonlinear stage of Benjamin-Feir instability in forced/damped deep-water waves

Published in Physics of Fluids. 2018, vol. 30, no. 1, 017102
Abstract We study a three-wave truncation of a recently proposed damped/forced high-order nonlinear Schrödinger equation for deep-water gravity waves under the effect of wind and viscosity. The evolution of the norm (wave-action) and spectral mean of the full model are well captured by the reduced dynamics. Three regimes are found for the wind-viscosity balance: we classify them according to the attractor in the phase-plane of the truncated system and to the shift of the spectral mean. A downshift can coexist with both net forcing and damping, i.e., attraction to period-1 or period-2 solutions. Upshift is associated with stronger winds, i.e., to a net forcing where the attractor is always a period-1 solution. The applicability of our classification to experiments in long wave-tanks is verified.
Keywords HydrodynamicsGravity wavesNonlinear wavesPattern Formation and Solitons
arXiv: 1709.07850
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Research groups Groupe Kasparian
ISE Climat
ISE Pôle Sciences
FNS: 200021-155970
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ARMAROLI, Andrea et al. Nonlinear stage of Benjamin-Feir instability in forced/damped deep-water waves. In: Physics of Fluids, 2018, vol. 30, n° 1, p. 017102. doi: 10.1063/1.5006139 https://archive-ouverte.unige.ch/unige:101274

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Deposited on : 2018-01-09

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