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.
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
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
unstructured spectral-element method
global stability
tandem circular cylinder pairs
criticalReynolds number
