THE ELLIPTIC MODEL OF 2-DIMENSIONAL VORTEX DYNAMICS .1. THE BASIC STATE

被引：55

作者：

LEGRAS, B ^{[1
]}

DRITSCHEL, DG ^{[1
]}

机构：

[1] UNIV CAMBRIDGE, DEPT APPL MATH & THEORET PHYS, CAMBRIDGE CB3 9EW, ENGLAND

来源：

PHYSICS OF FLUIDS A-FLUID DYNAMICS | 1991年 / 3卷 / 05期

关键词：

D O I：

10.1063/1.858015

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

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.

引用

页码：845 / 854

页数：10

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