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

Wei Zhang; Xian Wen; Yan Qun Jiang

doi:10.4028/www.scientific.net/AMM.137.72

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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.

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Periodical:

Applied Mechanics and Materials (Volume 137)

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72-76

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.137.72

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October 2011

Authors:

Wei Zhang, Xian Wen, Yan Qun Jiang

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Global Stability Analysis, Low-Dimensional Model, POD

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