Quasigeostrophic Confocal Spheroidal Vortices

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概要

• 論文の詳細を見る

• A family of exact solutions of the quasigeostrophic equation (in a uniformly stratified fluid on an f-plane) is presented. They are the generalizations of the Meaeham-Miyazaki spheroidal vortex to N-confocal tilted prolate spheroids. They rotate steadily in an otherwise quiescent fluid of infinite extent. The angular velocity of rigid rotation is independent of the inclination angle of the axis of symmetry from the vertical axis. The linear instability of double spheroids is investigated by expanding the disturbances in terms of the associated Legendre functions. Three types of instability are found. The first instability seems to be linked with the instability of a highly tilted single slender spheroidal vortex. The second instability, which is observed even for vertically standing spheroids, is caused by resonance between two vortex waves traveling along the inner and outer spheroids. The third instability is the Rayleigh-type instability that occurs for concentric vortex patches with non-monotonic radial vorticity distribution.

• 社団法人日本物理学会の論文
• 2003-11-15

著者

• Yamamoto Masahiro

  Department Of Surgery Teikyo University School Of Medicine

• 宮嵜 武

  電気通信大学電気通信学研究科

• MIYAZAKI Takeshi

  Department of Neurosurgery, Faculty of Medicine, Shimane University

• 藤原 毅夫

  東大・工・物工

• 藤原 毅夫

  東大・大学総合教育研究センタ-:crest-jst

• 宮嵜 武

  電気通信大学機械制御工学

• FUJIWARA Takahiro

  Department of Mechanical and Control Engineering, University of Electro-Communications

• Miyazaki Takeshi

  Department Of Neurosurgery Shimane University Faculty Of Medicine

• Miyazaki Takeshi

  Research Information Center Institute Of Plasma Physics Nagoya University:hitachi Ltd. Kodaira

• Yamamoto M

  Department Of Mechanical And Control Engineering University Of Electro-communications

• 藤原 毅夫

  Univ. Tokyo Tokyo

• Yamamoto Masahiro

  Department Of Earth Sciences Okayama University

• Miyamae T

  National Inst. Advanced Industrial Sci. And Technol. (aist) Tsukuba Jpn

• Miyazaki Takeshi

  Department Of Neurosurgery Faculty Of Medicine Shimane University

• Fujiwara Takahiro

  Department Of Chemistry Faculty Of Science Osaka University

• Miyazaki Takeshi

  Department Of Materials Science And Technology Nagaoka University Of Technology

• Yamamoto Masahiro

  Department Of Agricultural Chemistry Faculty Of Agriculture Niigata University

• Yamamoto Masahiro

  Department Of Mechanical And Control Engineering University Of Electro-communications

• Fujiwara Takahiro

  Department Of Mechanical And Control Engineering University Of Electro-communications

• Fujiwara Takahiro

  Department of Chemistry and Microcalorimetry Research Center, Faculty of Science, Osaka University

• Miyazaki Takeshi

  Department of Applied Chemistry, Faculty of Engineering, Osaka University

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