Affiliation:
1. Institute of Applied Physics RAS
2. Il'ichev Pacific Oceanological Institute, Far Eastern Branch RAS
3. National Research University Higher School of Economics
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.
Publisher
The Russian Academy of Sciences
Reference32 articles.
1. Захаров В.Е. Устойчивость периодических волн на поверхности глубокой жидкости // Журн. прикл. механики и техн. физики. 1968. Т. 9. С. 86–94.
2. Слюняев А.В. Нелинейное уравнение высокого порядка для огибающей гравитационных волн на воде конечной глубины // ЖЭТФ. 2005. V. 128. P. 1061–1077.
3. Слюняев А.В., Кокорина А.В. Численное моделирование “волн-убийц” на морской поверхности в рамках потенциальных уравнений Эйлера // Изв. РАН. Физика атмосферы и океана. 2020. Т. 56. С. 210–223.
4. Слюняев А.В., Пелиновский Д.Е., Пелиновский Е.Н. Морские волны-убийцы: наблюдения, физика и математика // Успехи физических наук. 2023. Т. 193. С. 155–181.
5. Adcock T.A.A., Taylor P.H., Yan S., Ma Q.W., Janssen P.A.E.M. Did the Draupner wave occur in a crossing sea? // Proc. R. Soc. A. 2011. V. 467. P. 3004–3021.
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