A ROUTE TO CHAOS IN AN OSCILLATORY FLOW - FEIGENBAUM SCENARIO

被引:25
作者
BLONDEAUX, P
VITTORI, G
机构
[1] Hydraulic Institute, University of Genoa, 16145 Genoa
来源
PHYSICS OF FLUIDS A-FLUID DYNAMICS | 1991年 / 3卷 / 11期
关键词
D O I
10.1063/1.858191
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The transition process which leads the oscillatory flow over a wavy wall from a periodic behavior to chaos is studied by means of the numerical algorithm described by Blondeaux and Vittori [J. Fluid Mech. 226, 257 (1991)]. By increasing the Reynolds number, it has been found that the flow experiences an infinite sequence of period doublings (pitchfork bifurcations) which take place at successive critical values. These critical values of the Reynolds number accumulate to a finite limit with the Feigenbaum rate of convergence. For Reynolds numbers larger than the above limit a chaotic flow is detected.
引用
收藏
页码:2492 / 2495
页数:4
相关论文
共 6 条
[1]   VORTICITY DYNAMICS IN AN OSCILLATORY FLOW OVER A RIPPLED BED [J].
BLONDEAUX, P ;
VITTORI, G .
JOURNAL OF FLUID MECHANICS, 1991, 226 :257-289
[2]   QUANTITATIVE UNIVERSALITY FOR A CLASS OF NON-LINEAR TRANSFORMATIONS [J].
FEIGENBAUM, MJ .
JOURNAL OF STATISTICAL PHYSICS, 1978, 19 (01) :25-52
[3]   ONSET SPECTRUM OF TURBULENCE [J].
FEIGENBAUM, MJ .
PHYSICS LETTERS A, 1979, 74 (06) :375-378
[4]   THE TRANSITION TO APERIODIC BEHAVIOR IN TURBULENT SYSTEMS [J].
FEIGENBAUM, MJ .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1980, 77 (01) :65-86
[5]  
GUCKENHEIMER J, 1986, ANNU REV FLUID MECH, V18, P15
[6]   THE STRANGE ATTRACTOR THEORY OF TURBULENCE [J].
LANFORD, OE .
ANNUAL REVIEW OF FLUID MECHANICS, 1982, 14 :347-364