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The elliptical model of two-dimensional vortex dynamics. I: The basic state (1991)

Legras, Bernard ; Dritschel, David G.

New York, NY : American Institute of Physics (AIP)

Physics of Fluids 3 (1991), S. 845-854

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ISSN: 1089-7666

Source: AIP Digital Archive

Topics: Physics

Notes: An approximate model of nonaxisymmetric vortices in a two-dimensional fluid is developed in which each vortex is assumed to consist of a nested stack of elliptical regions of uniform vorticity. The model is governed by a set of coupled nonlinear ordinary differential equations for the aspect ratio, orientation, and centroid of the bounding contour of each region. It also admits a Hamiltonian formulation and possesses all the invariants of the original system. In Part II [Phys. Fluids A 3, XXX (1991)], the model is extended to include disturbances to the elliptical shape of each contour.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1063/1.858015

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