Almost limiting short-crested gravity waves in deep water
Almost limiting short-crested gravity waves in deep water
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DOI：
10.1017/s0022112009992795
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发表时间：
2010-02
影响因子：
3.7
通讯作者：
M. Okamura
中科院分区：
文献类型：
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作者：
M. Okamura
研究了不同入射角下谐波共振几乎极限短峰重力波的性质。当入射角小于47.5°时，非谐振极限波的封闭波峰角为90°，与驻波的封闭波峰角相对应。而当入射角超过47.5°时，非共振极限波的封闭波峰角为120°，与二维进行波的封闭波峰角相对应。在所有入射角的谐振极限波中，封闭波峰角为90°。在谐振极限波中，如果基模与谐振模的符号不同，则波峰比波谷更平坦。研究了短波峰波的分岔问题。
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°, the enclosed crest angle in non-resonant limiting waves is 90°, which corresponds to that in standing waves. In contrast, when the incident angle exceeds 47.5°, the enclosed crest angle in non-resonant limiting waves is 120°, which corresponds to that in two-dimensional progressive waves. The enclosed crest angle is 90° 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.