准平面巨水波的数值模拟
Numerical modeling of quasiplanar giant water waves
摘要：
在这项工作中，我们提出了一个进一步的分析发展和最近提出的高度非线性潜在的长峰水波的理论模型的数值实现，其中弱的三维效应包括作为小的修正，以准确的二维方程写在共形变量[V.P. Ruban，物理。修订E 71，055303（R）（2005）]。基于这一理论的数值实验描述了一个单一的弱三维大振幅波（也称为怪胎，杀手，流氓或巨浪）的深水自发形成。
英文摘要：
In this work we present a further analytical development and a numerical implementation of the recently suggested theoretical model for highly nonlinear potential long-crested water waves, where weak three-dimensional effects are included as small corrections to exact two-dimensional equations written in the conformal variables [V.P. Ruban, Phys. Rev. E 71, 055303(R) (2005)]. Numerical experiments based on this theory describe the spontaneous formation of a single weakly three-dimensional large-amplitude wave (alternatively called freak, killer, rogue or giant wave) on the deep water.
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