A LOW-DIMENSIONAL MODEL FOR CHAOS IN OPEN FLUID-FLOWS

被引：19

作者：

OLINGER, DJ

机构：

[1] Department of Mechanical Engineering, Worcester Polytechnic Institute, Worcester

来源：

PHYSICS OF FLUIDS A-FLUID DYNAMICS | 1993年 / 5卷 / 08期

关键词：

D O I：

10.1063/1.858821

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

A forced Landau-Stuart equation is studied in order to derive a low-dimensional model describing the temporal behavior of a paradigm open flow, the two-dimensional forced cylinder wake. Numerical results from the model exhibit several characteristics of circle maps, and compare qualitatively to previous experimental results for an oscillating cylinder wake. The low-dimensional model is also shown to reduce to a circle map in the limit of small forcing amplitudes. Observation of circle map dynamics in the forced Landau-Stuart equation strengthens the conjecture that globally unstable fluid flows are amenable to a dynamical systems approach focusing on the study of low-dimensional iterative maps. The established connection between the Landau-Stuart equation and the circle map unifies certain aspects of spatiotemporal stability and low-dimensional chaos theory.

引用

页码：1947 / 1951

页数：5

共 26 条

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