The patterns of surface capillary-gravity short-crested waves with uniform current fields in coastal waters

• 来源期刊: 力学学报（英文版）
• 年，卷（期）: 2006,（5）
• 页码范围: 433-441
• 页数: 9页
• 语种: 英文

摘要

A fully three-dimensional surface gravitycapillary short-crested wave system is studied as two progressive wave-trains of equal amplitude and frequency, which are collinear with uniform currents and doubly-periodic in the horizontal plane, are propagating at an angle to each other. The first-and second-order asymptotic analytical solutions of the short-crested wave system are obtained via a perturbation expansion in a small parameter associated with the wave steepness, therefore depicting a series of typical three-dimensional wave patterns involving currents, shallow and deep water, and surface capillary waves, and comparing them with each other.