論文

査読有り
2017年1月

Radiation of short waves from the resonantly excited capillary-gravity waves

JOURNAL OF FLUID MECHANICS
  • M. Hirata
  • ,
  • S. Okino
  • ,
  • H. Hanazaki

810
開始ページ
5
終了ページ
24
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1017/jfm.2016.702
出版者・発行元
CAMBRIDGE UNIV PRESS

Capillary-gravity waves resonantly excited by an obstacle (Froude number: Fr = 1) are investigated by the numerical solution of the Euler equations. The radiation of short waves from the long nonlinear waves is observed when the capillary effects are weak (Bond number: Bo < 1 = 3). The upstream-advancing solitary wave radiates a short linear wave whose phase velocity is equal to the solitary waves and group velocity is faster than the solitary wave (soliton radiation). Therefore, the short wave is observed upstream of the foremost solitary wave. The downstream cnoidal wave also radiates a short wave which propagates upstream in the depression region between the obstacle and the cnoidal wave. The short wave interacts with the long wave above the obstacle, and generates a second short wave which propagates downstream. These generation processes will be repeated, and the number of wavenumber components in the depression region increases with time to generate a complicated wave pattern. The upstream soliton radiation can be predicted qualitatively by the fifth-order forced Korteweg-de Vries equation, but the equation overestimates the wavelength since it is based on a long-wave approximation. At a large Bond number of Bo = 2/3, the wave pattern has the rotation symmetry against the pattern at Bo = 0, and the depression solitary waves propagate downstream.

リンク情報
DOI
https://doi.org/10.1017/jfm.2016.702
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000389327700003&DestApp=WOS_CPL
ID情報
  • DOI : 10.1017/jfm.2016.702
  • ISSN : 0022-1120
  • eISSN : 1469-7645
  • Web of Science ID : WOS:000389327700003

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