Kolmogorov流动模型的七模截断及其混沌特性

李珍; 廉新宇

doi:10.3879/j.issn.1000-0887.2013.03.011

Kolmogorov流动模型的七模截断及其混沌特性

doi: 10.3879/j.issn.1000-0887.2013.03.011

李珍¹,
廉新宇²

¹唐山学院基础教学部, 河北唐山 063000;²唐山工业职业技术学院计算机工程系, 河北唐山 063020

基金项目: 国家自然科学基金资助项目（10632040）

详细信息

作者简介:
李珍（1979—）,女,河北唐山人,讲师,硕士(通讯作者.E-mail: heblizhen@163.com).

中图分类号: O371.1
计量
- 文章访问数: 1866
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- 被引次数: 0
出版历程
- 收稿日期: 2012-12-10
- 修回日期: 2013-01-07
- 刊出日期: 2013-03-15

Seven-Mode Truncation and Chaotic Characteristics of Kolmogorov Flow Model

LI Zhen¹,
LIAN Xin-yu²

¹Department of Basic Teaching, Tangshan College, Tangshan, Hebei 063000, P.R.China;²Department of Computer Engineering, Tangshan Industrial VocationTechnical College,Tangshan, Hebei 063020, P.R.China

摘要

摘要: 为了给出Kolmogorov流动模型中混沌行为的数学描述，选取常数k=3,重新对描述该模型的Navier-Stokes方程进行截断，得到了一个新的七维混沌系统．数值模拟了控制参数在一定范围内变化时方程组的基本动力学行为和混沌轨线，分析了其混沌特性．一方面证实了具有湍流特性的数学对象归因于低维混沌吸引子，另一方面有利于更好地了解湍流流动产生的机理.
- Kolmogorov流动模型 /
- 截断 /
- 分岔 /
- 混沌
Abstract: To provide a mathematical description of the chaotic behavior in Kolmogorov flow model,with k=3was researched,NavierStokes equation was truncated by seven basic modes and a new sevendimensional chaotic system described by ordinary differential equations was obtained. The basic dynamical behaviors and chaotic behaviors were simulated numerically according to control parameter changes and the chaotic characteristics were analyzed. The result verifies that the mathematical object which accounts for turbulence is attributed to lowdimensional chaotic attractors and this is helpful to understand turbulent flow.
- Kolmogorov flow model /
- truncation /
- bifurcation /
- chaos

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参考文献(20)

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