Almost limiting short-crested gravity waves in deep water

作者:Okamura Makoto*
来源:Journal of Fluid Mechanics, 2010, 646: 481-503.
DOI:10.1017/S0022112009992795

摘要

We investigate the properties of almost limiting short-crested gravity waves with harmonic resonance for various incident angles. When the incident angle is less than 47.5 degrees, the enclosed crest angle in non-resonant limiting waves is 90 degrees, which corresponds to that in standing waves. In contrast, when the incident angle exceeds 47.5 degrees, the enclosed crest angle in non-resonant limiting waves is 120 degrees, which corresponds to that in two-dimensional progressive waves. The enclosed crest angle is 90 degrees in resonant limiting waves for all incident angles. The crest becomes flatter than the trough in resonant limiting waves if the fundamental mode has a different sign from its harmonic resonant mode. Bifurcation of short-crested waves is also investigated.

  • 出版日期2010-3-10