Formation of `clusters' of vortices on a sphere |
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| Institution: | 1. DMF, UFR de Mathématiques Pures et Appliquées, université de Lille-1, 59655 Villeneuve d''Ascq, France;2. Institut de la Physique Atmosphèrique, Academie des Sciences de la Russie, 109017 Moscou, Russie;1. Departamento de Física, Universidade Federal do Paraná, C.P. 19044, 81531-980 Curitiba-PR, Brazil;2. Physics Department, Clarkson University, Potsdam, NY 13699-5820, USA |
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| Abstract: | This paper applies the Hamiltonian approach to the two-dimensional motion of an incompressible fluid on a curvilinear surface. The method has been used to formulate governing equations of motion, and to interpret the evolution of a system consisting of N∼102–103 localized two-dimensional vortices on a sphere. The analysis shows that the instability appears immediately, forming initial disorganized structures which develop and finally `burst'. The system evolves to a few separated vortex `spots' which are quasi-stable. |
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