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

Bernard Legras*, David G. Dritschel

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

48 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)845-854
Number of pages10
JournalPhysics of Fluids A
Volume3
Issue number5
DOIs
Publication statusPublished - 1 Jan 1991

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