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arXiv · 1607.05313

Ocean swell within the kinetic equation for water waves

Sergei I. Badulin·Vladimir E. Zakharov
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Abstract

Effects of wave-wave interactions on ocean swell are studied. Results of extensive simulations of swell evolution within the duration-limited setup for the kinetic Hasselmann equation at long times up to $10^6$ seconds are presented. Basic solutions of the theory of weak turbulence, the so-called Kolmogorov-Zakharov solutions, are shown to be relevant to the results of the simulations. Features of self-similarity of wave spectra are detailed and their impact on methods of ocean swell monitoring are discussed. Essential drop of wave energy (wave height) due to wave-wave interactions is found to be pronounced at initial stages of swell evolution (of order of 1000 km for typical parameters of the ocean swell). At longer times wave-wave interactions are responsible for a universal angular distribution of wave spectra in a wide range of initial conditions.

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Sergei I. Badulin, Vladimir E. Zakharov. 2016-07-18. Ocean swell within the kinetic equation for water waves. https://doi.org/10.5194/npg-24-237-2017

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