| 基于DNS的流动稳定性数值分析方法在双柱绕流中的应用 |
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| 引用本文： | 刘坤,马东军,孙德军,尹协远.基于DNS的流动稳定性数值分析方法在双柱绕流中的应用[J].中国科学技术大学学报,2007,37(7):700-705. |
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| 作者姓名： | 刘坤 马东军 孙德军 尹协远 |
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| 作者单位： | 中国科学技术大学力学和机械工程系,安徽合肥,230027 |
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| 摘 要： | 基于非结构谱元法对横向排列双圆柱绕流在固定间距情况下进行了整体线性稳定性分析,首先用Newton方法求得某个Re数的定常解,再以Arnoldi方法处理线化小扰动方程,进一步得到定常解的若干优势特征值及其特征向量.通过计算首次给出了无量纲圆心距T/D=1.2时系统的临界ReC数,并根据超临界情况下优势特征向量重构了周期流动.
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| 关 键 词： | 非结构谱元法 整体稳定性 横向双圆柱绕流 临界Reynolds数 |
| 文章编号： | 0253-2778（2007）07-0700-06 |
| 修稿时间： | 2006-07-162006-11-02 |
Application of stability analysis method based on DNS to flows past two circular cylinders |
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| LIU Kun,MA Dong-jun,SUN De-jun,YIN Xie-yuan.Application of stability analysis method based on DNS to flows past two circular cylinders[J].Journal of University of Science and Technology of China,2007,37(7):700-705. |
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| Authors: | LIU Kun MA Dong-jun SUN De-jun YIN Xie-yuan |
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| Institution: | Department of Modern Mechanics, University of Science and Technology of China, Hefei 230027, China |
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| Abstract: | Global linear stability analysis for flow past two circular cylinders arranged side by side was performed based on the unstructured spectral element method at a fixed separation of circle centers.The steady solution at a Reynolds number was obtained by using Newton's method and its leading eigenvalues/eigenfunctions were obtained by using Arnoldi's method to solve linear perturbation equations.The critical Reynolds number ReC at T/D=1.2 was given for the first time.In addition,a reconstructed periodic flow at supercritical condition was obtained by combining the basic steady solution and the corresponding leading eignenfunction. |
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| Keywords: | unstructured spectral-element method global stability tandem circular cylinder pairs critical Reynolds number |
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