Abstract Direct numerical simulations of wind-generated gravity waves on a 2D sea surface are carried out within the framework of the basic potential equations of hydrodynamics. The data obtained for conditions of deep water, the JONSWAP spectrum and various wave intensities, widths of angular spectrum, and peakedness are processed and the results are discussed. The statistical and spectral characteristics of the waves evolve over a long time. The specific asymmetry of the typical profiles of anomalously high waves is shown. The durations of extreme events, which can be up to several tens of wave periods, are calculated.

中文翻译：

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潜在欧拉方程框架内海面杂波的数值模拟

摘要 在流体动力学基本势方程的框架内，对二维海面上风力产生的重力波进行了直接数值模拟。对深水条件下获得的数据、JONSWAP 谱和各种波浪强度、角谱宽度和峰度进行了处理，并对结果进行了讨论。波的统计和光谱特性会随着时间的推移而演变。显示了异常高波的典型轮廓的特定不对称性。极端事件的持续时间可以长达几十个波浪周期，被计算出来。