Contributions of Nonlinear Spectral Components to the Probability Distribution of Rogue Waves Based on the Results of Numerical Simulation of the Euler Equations

A. V. Slunyaev; Слюняев А. В.

doi:10.31857/S000235152306010X

Contributions of Nonlinear Spectral Components to the Probability Distribution of Rogue Waves Based on the Results of Numerical Simulation of the Euler Equations

Authors: Slunyaev A.V.¹^,2^,3
Affiliations:
1. Institute of Applied Physics RAS
2. Il'ichev Pacific Oceanological Institute, Far Eastern Branch RAS
3. National Research University Higher School of Economics
Issue: Vol 59, No 6 (2023)
Pages: 793-814
Section: Articles
URL: https://ogarev-online.ru/0002-3515/article/view/162280
DOI: https://doi.org/10.31857/S000235152306010X
EDN: https://elibrary.ru/ORXADF
ID: 162280

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Abstract
About the authors
References
Supplementary files
Statistics

Abstract

The contributions of various wave components (second, third and difference harmonics) to the formation of probability distributions of extreme wave heights, as well as amplitudes of crests and troughs, are evaluated based on the direct numerical simulation of irregular nonlinear deep water waves within three-dimensional potential equations of hydrodynamics. The simulation results taking into account 4- and 5-wave nonlinear interactions are analyzed. Different non-linear harmonics participate in the formation of the probability distributions in nontrivial way, essentially not satisfying the principles of linear superposition and ordering of the contribution by the parameter of weak nonlinearity.

Keywords

surface sea waves, direct numerical simulation, probability distribution of wave heights, wave crests and wave troughs, spatio-temporal wave spectrum

About the authors

A. V. Slunyaev

Institute of Applied Physics RAS; Il'ichev Pacific Oceanological Institute, Far Eastern Branch RAS; National Research University Higher School of Economics

Author for correspondence.
Email: slunyaev@ipfran.ru
Russia, 603950, Nizhny Novgorod, Ulyanova Street, 46; Russia, 690041, Vladivostok, Baltijskaya Street, 43; Russia, 603155, Nizhny Novgorod, Bolshaya Pechiorskaya Street, 25/12

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