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

Bernard Legras; David G. Dritschel

doi:10.1063/1.858015

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

Bernard Legras
, David G. Dritschel

University of Cambridge

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

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, 855 (1991)], the model is extended to include disturbances to the elliptical shape of each contour.

langue originale	Anglais
Pages (de - à)	845-854
Nombre de pages	10
journal	Physics of Fluids A
Volume	3
Numéro de publication	5
Les DOIs	https://doi.org/10.1063/1.858015
état	Publié - 1 janv. 1991

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10.1063/1.858015

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abstract = "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, 855 (1991)], the model is extended to include disturbances to the elliptical shape of each contour.",

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

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