Stability analysis for flow past a cylinder via lattice Boltzmann method and dynamic mode decomposition

A combination of the lattice Boltzmann method and the most recently developed dynamic mode decomposition is proposed for stability analysis. The simulations are performed on a graphical processing unit. Stability of the flow past a cylinder at supercritical state, Re = 50, is studied by the combinat...

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Published inChinese physics B Vol. 24; no. 6; pp. 378 - 384
Main Author 张伟 王勇 钱跃竑
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.06.2015
Subjects
Computational fluid dynamics
Cylinders
Decomposition
dynamic mode decomposition
Dynamic tests
Dynamics
Eigenvalues
graphical processing unit
lattice Boltzmann
Lattice vibration
Stability analysis
图形处理单元
极限周期
格子Boltzmann方法
格子玻尔兹曼方法
模式分解
气缸
稳定性分析
超临界状态
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ISSN1674-1056
2058-3834
1741-4199
DOI10.1088/1674-1056/24/6/064701

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Summary:A combination of the lattice Boltzmann method and the most recently developed dynamic mode decomposition is proposed for stability analysis. The simulations are performed on a graphical processing unit. Stability of the flow past a cylinder at supercritical state, Re = 50, is studied by the combination for both the exponential growing and the limit cycle regimes. The Ritz values, energy spectrum, and modes for both regimes are presented and compared with the Koopman eigenvalues. For harmonic-like periodic flow in the limit cycle, global analysis from the combination gives the same results as those from the Koopman analysis. For transient flow as in the exponential growth regime, the combination can provide more reasonable results. It is demonstrated that the combination of the lattice Boltzmann method and the dynamic mode decomposition is powerful and can be used for stability analysis for more complex flows.
Bibliography:lattice Boltzmann, dynamic mode decomposition, stability analysis, graphical processing unit
11-5639/O4
A combination of the lattice Boltzmann method and the most recently developed dynamic mode decomposition is proposed for stability analysis. The simulations are performed on a graphical processing unit. Stability of the flow past a cylinder at supercritical state, Re = 50, is studied by the combination for both the exponential growing and the limit cycle regimes. The Ritz values, energy spectrum, and modes for both regimes are presented and compared with the Koopman eigenvalues. For harmonic-like periodic flow in the limit cycle, global analysis from the combination gives the same results as those from the Koopman analysis. For transient flow as in the exponential growth regime, the combination can provide more reasonable results. It is demonstrated that the combination of the lattice Boltzmann method and the dynamic mode decomposition is powerful and can be used for stability analysis for more complex flows.
Zhang Wei, Wang Yong, and Qian Yue-Hong（ a）Department of Mechanical Enignneering, Nat/ona/University of Singapore, 117575, Singapore b） Department of Mechanical and Aerospace Engineering, University of California, Irvine, CA 92697, USA c） Shanghai Institute of Applied Math and Mechanics, Shanghai University, Shanghai 200072, China
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ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/24/6/064701