2010年3月
From generation to chaotic motion of a ring configuration of vortex structures on a sphere
THEORETICAL AND COMPUTATIONAL FLUID DYNAMICS
- 巻
- 24
- 号
- 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
- ID情報
-
- DOI : 10.1007/s00162-009-0116-7
- ISSN : 0935-4964
- Web of Science ID : WOS:000275422800017