Refinements on the Quasi-geostrophic Wire-Vortex Model(Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics and Fluid Mechanics)
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概要
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Refinements on the quasi-geostrophic wire-vortex model are proposed. Each coherent vortex is modeled by a straight wire of finite length. The dynamics of N wire-vortices is a canonical Hamiltonian system of 2N degrees of freedom. We adapt the Gaussian integration method in the evaluation of the mutual energy integrals, instead of the moment approximation used in the previous wire model. The accuracy of integration is improved drastically, even if two wire-vortices are placed very close. The refined model can circumvent the singular behavior of a counter-rotating vortex pair, predicted by the previous wire moment model. We also introduce a realistic relation between the inclination angle and the vortex-slenderness parameter, assuming that each wire-vortex is a prolate spheroid. The latter refinement enables us to model fatter vortices more accurately.
- 一般社団法人日本物理学会の論文
- 2005-01-15
著者
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Niwa Takuya
Department Of Mechanical Engineering And Intelligent Systems University Of Electro-communications
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Taira Hiroshi
Department Of Mechanical Engineering And Intelligent Systems University Of Electro-communications
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Takahashi Naoya
Department Of Chemical Engineering And Materials Science Faculty Of Science And Engineering Doshisha University
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Miyazaki Takeshi
Department of Applied Chemistry, Faculty of Engineering, Osaka University
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TAKAHASHI Naoya
Department of Mechanical Engineering and Intelligent Systems, University of Electro-Communications
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