Paper Title:
Global Stability Analysis of the Wake behind a Circular Cylinder Based on the POD-Chiba Method
  Abstract

A proper orthogonal decomposition (POD) method is applied to study the global stability analysis for flow past a stationary circular cylinder. The flow database at Re=100 is obtained by CFD software, i.e. FLUENT, with which POD bases are constructed by a snapshot method. Based on the POD bases, a low-dimensional model is established for solving the two-dimensional incompressible NS equations. The stability of the flow solution is evaluated by a POD-Chiba method in the way of the eigensystem analysis for the velocity disturbance. The linear stability analysis shows that the first Hopf bifurcation takes place at Re=46.9, which is in good agreement with available results by other high-order accurate stability analysis methods. However, the calculated amount of POD is little, which shows the availability and advantage of the POD method.

  Info
Periodical
Edited by
Robert Zhu
Pages
72-76
DOI
10.4028/www.scientific.net/AMM.137.72
Citation
W. Zhang, X. Wen, Y. Q. Jiang, "Global Stability Analysis of the Wake behind a Circular Cylinder Based on the POD-Chiba Method", Applied Mechanics and Materials, Vol. 137, pp. 72-76, 2012
Online since
October 2011
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