Sensitivity analysis of a streamwise corner flow
Sensitivity analysis of a streamwise corner flow
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流向角流的敏感性分析
DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
U. Rist
中科院分区：
文献类型：
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作者：
F. Alizard;J. Robinet;U. Rist
通过对基流变化敏感性的研究，重新审视了两个垂直平板相交所形成的流动的稳定性。在简要介绍了渐近制度，灵敏度函数的基本角模式（集中在靠近交叉点）和Tollmien-Schlichting模式，具有不同的双折射角，计算。考虑到这一点，相关的机制以及活跃的区域被识别，这进一步确认角模式的敏感区域沿着两个平板的交叉。此外，Δ U-伪谱的概念表明，在小的基流修改下，角模式下的一定范围的频率可能变得不稳定。然后，跟踪最坏情况的优化技术，即，导致最大时间放大率的偏差表明，在参考场的不确定性区域中的小变化导致临界放大率的显著降低。
The stability of the flow formed by the intersection of two perpendicular flat plates is revisited through a study of the sensitivity to base-flow variations. After a brief presentation of the asymptotic regime, sensitivity functions underlying corner mode (concentrated close to the intersection) and Tollmien–Schlichting modes, with different obliqueness angles, are computed. Taking this into consideration, associated mechanisms as well as active regions are identified, which further confirm the sensitivity area of the corner mode along the intersection of two flat plates. Furthermore, the concept of ΔU-pseudospectra indicates that under a small base-flow modification, a certain range of frequencies underlying the corner mode could become unstable. Then, an optimization technique tracking the worst-case scenario, i.e., the deviation leading to a maximum temporal amplification rate, shows that a small variation in the reference field in the area of uncertainty leads to a significant decrease in the critica...