Abstract

Based on the direct numerical modeling results of irregular nonlinear waves on the surface of deep water within the framework of three-dimensional potential equations of hydrodynamics, the contributions of various wave components (second, third, and difference harmonics) to the formation of probability distributions of extreme wave heights, as well as the amplitudes of crests and troughs, are determined. The simulation results are analyzed taking into account four- and five-wave nonlinear interactions. Various nonlinear harmonics participate in the formation of probability distributions in a nontrivial way, which is essentially not amenable to the principles of linear addition and the contribution of ordering by a small nonlinearity parameter.

中文翻译：

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基于欧拉方程数值模拟结果的非线性谱分量对异常波概率分布的贡献

摘要

基于流体动力学三维势方程框架内深水表面不规则非线性波浪的直接数值模拟结果，各种波浪分量（二次、三次和差谐波）对概率分布形成的贡献确定极端波高以及波峰和波谷的幅度。分析仿真结果时考虑了四波和五波非线性相互作用。各种非线性谐波以非平凡的方式参与概率分布的形成，这本质上不符合线性加法原理和小非线性参数排序的贡献。