Structured Input-Output Analysis of Compressible Plane Couette Flow
Structured Input-Output Analysis of Compressible Plane Couette Flow
复制标题
可压缩平面Couette流的结构化输入输出分析
DOI：
--
复制
发表时间：
2023
期刊：
影响因子：
--
通讯作者：
Maziar S. Hemati
中科院分区：
文献类型：
--
作者：
Diganta Bhattacharjee;T. Mushtaq;Peter J. Seiler;Maziar S. Hemati
本文将最近引入的不可压缩流动的结构化投入产出分析方法推广到可压缩状态。所提出的方法依赖于可压缩Navier-Stokes方程的精确二次表示，允许在结构化奇异值框架内进行有效的建模和分析。具体而言，研究了可压缩平面Couette流，并利用非线性力的结构建立了适合于结构奇异值分析的输入-输出模型。我们提出了一种计算结构奇异值上界的有效方法，为流动不稳定性的研究提供了新的思路。所提出的框架的数值结果包括亚音速、跨音速和超音速马赫数。这些结果与解析增益和非结构化输入输出分析的结果进行了比较。我们的研究结果表明，考虑非线性的结构不仅降低了非结构化增益的保守性，从而增加了估计的稳定裕度，而且还消除了这些其他分析工具预测的一些不稳定机制。此外，结构化的输入-输出结果揭示了解决方案分析未捕获的不稳定性机制。这些被考虑的分析技术之间相互矛盾的发现需要在未来通过实验和/或计算研究来证实。
This paper extends the recently introduced structured input-output analysis method for incompressible flows to the compressible regime. The proposed method relies upon an exact quadratic representation of the compressible Navier-Stokes equations that allows for efficient modeling and analysis within the structured singular value framework. Specifically, the compressible plane Couette flow is investigated and the structure of the nonlinear forcing is used to formulate an input-output model suitable for the structured singular value analysis. We have outlined an efficient method to compute upper bounds on the structured singular value, which provide insight into flow instability. Numerical results of the proposed framework are included for subsonic, transonic, and supersonic Mach numbers. These results are compared with those obtained from resolvent gain and unstructured input-output analysis. Our findings show that accounting for the structure of the nonlinearity not only reduces the conservatism in the unstructured gains—thereby increasing the estimated stability margin—but also eliminates some of the instability mechanisms predicted by these other analysis tools. Moreover, the structured input-output results reveal instability mechanisms that are not captured by the resolvent analysis. These contradictory findings between the analysis techniques considered need to be substantiated through experimental and/or computational studies in the future.
使用二次约束估计过渡流的吸引区域
影响因子：
3
作者：
Kalur, Aniketh;Mushtaq, Talha;Seiler, Peter;Hemati, Maziar S.
通讯作者：
Hemati, Maziar S.
影响因子：
2.7
作者：
Kalur, Aniketh;Seiler, Peter;Hemati, Maziar S.
通讯作者：
Hemati, Maziar S.
影响因子：
3.7
作者：
McKeon, B. J.;Sharma, A. S.
通讯作者：
Sharma, A. S.