Wind-forced modulations of gravity waves
Résumé
The effect of wind on modulational instability of gravity waves is presented. A forced nonlinear Schödinger equation that governs the evolution in deep water of weakly nonlinear packets of surface gravity waves under wind forcing is derived. Stokes waves are shown to grow exponentially following Miles' linear mechanism, while modulational instability becomes explosive. These analytical results are completed by numerical simulations and experiments showing the amplification of modulations by wind. Therefore, we suggest that wind boosts the formation of rogue waves.
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