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Almost limiting short-crested gravity waves in deep water

Published online by Cambridge University Press:  10 February 2010

MAKOTO OKAMURA
MAKOTO OKAMURA*
Affiliation:
Research Institute for Applied Mechanics, Kyushu University, Kasuga 816-8580, Japan
*
†Email address for correspondence: okamura@riam.kyushu-u.ac.jp
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Abstract

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.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 646 , 10 March 2010 , pp. 481 - 503
Copyright
Copyright © Cambridge University Press 2010

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