Journal article

Fourier amplitude distribution and intermittency in mechanically generated surface gravity waves

Elmira Fadaeiazar, Justin Leontini, Miguel Onorato, Takuji Waseda, Alberto Alberello, Alessandro Toffoli

Physical Review E | AMER PHYSICAL SOC | Published : 2020

Abstract

We examine and discuss the spatial evolution of the statistical properties of mechanically generated surface gravity wave fields, initialized with unidirectional spectral energy distributions, uniformly distributed phases, and Rayleigh distributed amplitudes. We demonstrate that nonlinear interactions produce an energy cascade towards high frequency modes with a directional spread and trigger localized intermittent bursts. By analyzing the probability density function of Fourier mode amplitudes in the high frequency range of the wave energy spectrum, we show that a heavy-tailed distribution emerges with distance from the wave generator as a result of these intermittent bursts, departing from..

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Grants

Awarded by Simons Collaboration on Wave Turbulence


Awarded by "Departments of Excellence 2018-2022" grant - Italian Ministry of Education, University and Research (MIUR)


Awarded by project "Metapp" - Fondazione San Paolo


Funding Acknowledgements

This research was supported by the JSPS Fellowship for Research in Japan Program, Grants-in-Aid for Scientific Research of the Japanese Society for for the Promotion of Science, and the International Science Linkages (ISL) Program of the Australian Academy of Science. M.O. received support from the Simons Collaboration on Wave Turbulence, Award No. 617006 and from "Departments of Excellence 2018-2022" grant awarded by the Italian Ministry of Education, University and Research (MIUR, L.232/2016). A.A. and M.O. were supported by the project "Metapp" (No. CSTO160004) funded by Fondazione San Paolo. A.A. and A.T. acknowledge support from the Air-Sea-Ice Lab Project. M.O. is grateful to Dr. B. GiuliNico for discussions.