Seven-Mode Truncation and Chaotic Characteristics of Kolmogorov Flow Model

LI Zhen; LIAN Xin-yu

doi:10.3879/j.issn.1000-0887.2013.03.011

Volume 34 Issue 3

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LI Zhen, LIAN Xin-yu. Seven-Mode Truncation and Chaotic Characteristics of Kolmogorov Flow Model[J]. Applied Mathematics and Mechanics, 2013, 34(3): 318-326. doi: 10.3879/j.issn.1000-0887.2013.03.011

Citation:

LI Zhen, LIAN Xin-yu. Seven-Mode Truncation and Chaotic Characteristics of Kolmogorov Flow Model[J]. Applied Mathematics and Mechanics, 2013, 34(3): 318-326. doi: 10.3879/j.issn.1000-0887.2013.03.011

Citation:

LI Zhen, LIAN Xin-yu. Seven-Mode Truncation and Chaotic Characteristics of Kolmogorov Flow Model[J]. Applied Mathematics and Mechanics, 2013, 34(3): 318-326. doi: 10.3879/j.issn.1000-0887.2013.03.011

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Seven-Mode Truncation and Chaotic Characteristics of Kolmogorov Flow Model

doi: 10.3879/j.issn.1000-0887.2013.03.011

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

Received Date: 2012-12-10
Rev Recd Date: 2013-01-07
Publish Date: 2013-03-15

Abstract

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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References(20)

References

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