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

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	845-854
Number of pages	10
Journal	Physics of Fluids A
Volume	3
Issue number	5
DOIs	https://doi.org/10.1063/1.858015
Publication status	Published - 1 Jan 1991

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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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AB - 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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