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Formation of ‘clusters' of vortices on a sphere

type de publication      article dans une revue internationale avec comité de lecture
date de publication 2001
auteur(s) Pavlov Vadim; Buisine Daniel; Goncharov V.P.
journal Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics
volume (numéro) 329 (1)
pages 41 – 46
résumé 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.
mots clés tourbillons localisés / interactions / framentation / clusters
lien lien  
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