Parasitic Capillary Waves on Small-Amplitude Gravity Waves with a Linear Shear Current

被引:2
|
作者
Murashige, Sunao [1 ]
Choi, Wooyoung [2 ]
机构
[1] Ibaraki Univ, Dept Math & Informat, Mito, Ibaraki 3108512, Japan
[2] New Jersey Inst Technol, Dept Math Sci, Newark, NJ 07102 USA
基金
新加坡国家研究基金会;
关键词
water waves; gravity-capillary waves; shear current; fully nonlinear computation; conformal mapping; GENERATION;
D O I
10.3390/jmse9111217
中图分类号
U6 [水路运输]; P75 [海洋工程];
学科分类号
0814 ; 081505 ; 0824 ; 082401 ;
摘要
This paper describes a numerical investigation of ripples generated on the front face of deep-water gravity waves progressing on a vertically sheared current with the linearly changing horizontal velocity distribution, namely parasitic capillary waves with a linear shear current. A method of fully nonlinear computation using conformal mapping of the flow domain onto the lower half of a complex plane enables us to obtain highly accurate solutions for this phenomenon with the wide range of parameters. Numerical examples demonstrated that, in the presence of a linear shear current, the curvature of surface of underlying gravity waves depends on the shear strength, the wave energy can be transferred from gravity waves to capillary waves and parasitic capillary waves can be generated even if the wave amplitude is very small. In addition, it is shown that an approximate model valid for small-amplitude gravity waves in a linear shear current can reasonably well reproduce the generation of parasitic capillary waves.
引用
收藏
页数:13
相关论文
共 50 条