A Novel Formulation of Point Vortex Dynamics on the Sphere: Geometrical and Numerical Aspects
نویسندگان
چکیده
منابع مشابه
A Novel Formulation of Point Vortex Dynamics on the Sphere: Geometrical and Numerical Aspects
In this paper, we present a novel Lagrangian formulation of the equations of motion for point vortices on the unit 2-sphere. We show first that no linear Lagrangian formulation exists directly on the 2-sphere but that a Lagrangian may be constructed by pulling back the dynamics to the 3-sphere by means of the Hopf fibration. We then use the isomorphism of the 3-sphere with the Lie group SU(2) t...
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ژورنال
عنوان ژورنال: Journal of Nonlinear Science
سال: 2013
ISSN: 0938-8974,1432-1467
DOI: 10.1007/s00332-013-9182-5