Pattern formation in Rayleigh-Bénard convection: Numerical simulation with a coupled-map-lattice model |
| |
摘 要: |
|
收稿时间: | 29 May 2004 |
Pattern formation in Rayleigh-Bénard convection: numerical simulation with a coupled-map-lattice model |
| |
Authors: | Liang Wang Guanghua Zhang Song Fu |
| |
Institution: | (1) Department of Engineering Mechanics, Tsinghua University, 100084 Beijing, China |
| |
Abstract: | The various patterns formed in Rayleigh-Bénard convection under different conditions are numerically simulated with a coupled-map-lattice
model. In the case of a lower aspect ratio (L/d=5), the simulations vividly depicted the main features of the transition process from a laminar state to a soft turbulence
and then to a hard turbulence. In this case, the cellular structure in a horizontal section is also reproduced. In the case
of a larger aspect ratio (L/d=30), the simulations successfully reproduced the spiral-defect chaos and target chaos in the initial stage of the pattern
evolution which were recently found in experiments. In this case, for a fluid ofPr=1, it is verified in simulations that both the ideal straight rolls and spiral-defect chaos are stable attractors in the
same parameter regime, and that the initial condition is a decisive factor for which one of the two is formed. In the same
case, for a fluid ofPr=4, the target patterns are dominant instead of the spirals, the sizes and distributions of the target are also notably dependent
on the initial condition. |
| |
Keywords: | natural convection pattern formation dynamical system coupled map lattice spatio-temporal chaos |
本文献已被 SpringerLink 等数据库收录! |
| 点击此处可从《中国科学通报(英文版)》浏览原始摘要信息 |
| 点击此处可从《中国科学通报(英文版)》下载免费的PDF全文 |