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.

• 社団法人日本物理学会の論文
• 2005-01-15

著者

• Takahashi Naoya

  Department of Radiology, Niigata City General Hospital

• MIYAZAKI Takeshi

  Department of Neurosurgery, Faculty of Medicine, Shimane University

• Miyazaki Takeshi

  Department Of Neurosurgery Shimane University Faculty Of Medicine

• Takahashi Naoya

  Department Of Mechanical And Control Engineering University Of Electro-communications

• Takahashi Naoya

  Department Of Mechanical Engineering And Intelligent Systems University Of Electro-communications

• TAIRA Hiroshi

  Department of Mechanical Engineering and Intelligent Systems, University of Electro-Communications

• NIWA Takuya

  Department of Mechanical Engineering and Intelligent Systems, University of Electro-Communications

• Niwa Takuya

  Department Of Mechanical Engineering And Intelligent Systems University Of Electro-communications

• Taira Hiroshi

  Department Of Mechanical Engineering And Intelligent Systems University Of Electro-communications

• Miyazaki Takeshi

  Department Of Neurosurgery Faculty Of Medicine Shimane University

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