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基于DNS的流动稳定性数值分析方法在双柱绕流中的应用

Application of stability analysis method based on DNS to flows past two circular cylinders

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【作者】 刘坤马东军孙德军尹协远

【Author】 LIU Kun,MA Dong-jun,SUN De-jun,YIN Xie-yuan(Department of Modern Mechanics,University of Science and Technology of China,Hefei 230027,China)

【机构】 中国科学技术大学力学和机械工程系中国科学技术大学力学和机械工程系 安徽合肥230027安徽合肥230027

【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.

【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.

【基金】 国家自然科学基金重点项目(10432020)资助
  • 【文献出处】 中国科学技术大学学报 ,Journal of University of Science and Technology of China , 编辑部邮箱 ,2007年07期
  • 【分类号】O357
  • 【被引频次】1
  • 【下载频次】196
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