Global Stability Analysis of the Wake behind a Circular Cylinder Based on the POD-Chiba Method
| Periodical | Applied Mechanics and Materials (Volume 137) |
|---|---|
| Main Theme | Applied Mechanics and Civil Engineering |
| Edited by | Robert Zhu |
| Pages | 72-76 |
| DOI | 10.4028/www.scientific.net/AMM.137.72 |
| Citation | Wei Zhang et al., 2011, Applied Mechanics and Materials, 137, 72 |
| Online since | October, 2011 |
| Authors | Wei Zhang, Xian Wen, Yan Qun Jiang |
| Keywords | Global Stability Analysis, Low-Dimensional Model, POD |
| Price | US$ 28,- |
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.
