論文

査読有り
2010年3月

From generation to chaotic motion of a ring configuration of vortex structures on a sphere

THEORETICAL AND COMPUTATIONAL FLUID DYNAMICS
  • Takashi Sakajo

24
1-4
開始ページ
151
終了ページ
156
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1007/s00162-009-0116-7
出版者・発行元
SPRINGER

This is a review article of recent research developments on the motion of a polygonal ring configuration of vortex structures with singular vorticity distributions in incompressible and inviscid flows on a non-rotating sphere. Numerical computation of a single vortex sheet reveals that the Kelvin-Helmholtz instability gives rise to the formation of a polygonal ring arrangement of rolling-up spirals. An application of methods of Hamiltonian dynamics to the N-vortex problem on the sphere shows that the motion of the ring configuration of homogeneous point vortices, which is a simple model for the rolling-up spirals, becomes chaotic after a long time evolution. Some remarks on an extension of the present research and a generic non-self-similar collapse are also provided.

リンク情報
DOI
https://doi.org/10.1007/s00162-009-0116-7
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000275422800017&DestApp=WOS_CPL
ID情報
  • DOI : 10.1007/s00162-009-0116-7
  • ISSN : 0935-4964
  • Web of Science ID : WOS:000275422800017

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