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On Natural Modulational Bandwidth of Deep-Water Surface Waves

1
Department of Infrastructure Engineering, University of Melbourne, Melbourne, Victoria 3010, Australia
2
Dipartimento di Fisica, Università di Torino and INFN, 10125 Torino, Italy
3
ISMAR, Istituto di Scienze Marine, 30122 Venice, Italy
*
Author to whom correspondence should be addressed.
Fluids 2019, 4(2), 67; https://doi.org/10.3390/fluids4020067
Received: 28 February 2019 / Revised: 22 March 2019 / Accepted: 27 March 2019 / Published: 8 April 2019
(This article belongs to the Special Issue Nonlinear Wave Hydrodynamics)
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Abstract

We suggest that there exists a natural bandwidth of wave trains, including trains of wind-generated waves with a continuous spectrum, determined by their steepness. Based on laboratory experiments with monochromatic waves, we show that, if no side-band perturbations are imposed, the ratio between the wave steepness and bandwidth is restricted to certain limits. These limits are consistent with field observations of narrow-banded wind-wave spectra if a characteristic width of the spectral peak and average steepness are used. The role of the wind in such modulation is also discussed. View Full-Text
Keywords: modulational instability; nonlinear waves; wave groups modulational instability; nonlinear waves; wave groups
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Babanin, A.V.; Onorato, M.; Cavaleri, L. On Natural Modulational Bandwidth of Deep-Water Surface Waves. Fluids 2019, 4, 67.

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