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Chin. Phys. B, 2015, Vol. 24(6): 064701    DOI: 10.1088/1674-1056/24/6/064701

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

Zhang Weia, Wang Yongb, Qian Yue-Hongc
a Department of Mechanical Enignneering, National 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

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.

Keywords:  lattice Boltzmann      dynamic mode decomposition      stability analysis      graphical processing unit  
Received:  28 November 2014      Revised:  12 December 2014      Accepted manuscript online: 
PACS:  47.20.-k (Flow instabilities)  
  47.11.-j (Computational methods in fluid dynamics)  
  04.60.Nc (Lattice and discrete methods)  
Corresponding Authors:  Wang Yong     E-mail:,
About author:  47.20.-k; 47.11.-j; 04.60.Nc

Cite this article: 

Zhang Wei, Wang Yong, Qian Yue-Hong Stability analysis for flow past a cylinder via lattice Boltzmann method and dynamic mode decomposition 2015 Chin. Phys. B 24 064701

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