Abstract Motivated by the aero-acoustic feedback loop phenomenon in high speed free jets and impinging jets, a thorough examination of a POD (Proper Orthogonal Decomposition)-Galerkin method to determine the average convection velocity of coherent structures in the shear layer is presented in this paper. The technique is shown to be applicable to both time resolved as well as time unresolved data, if the data set meets certain requirements. Using a detailed sensitivity analysis on a synthetic data set, a quantitative estimate on the required time resolution for the technique has been found, which can be useful for both experimental, as well as numerical studies investigating the aero-acoustic feedback loop in high speed flows. Moreover, some innovative ways to apply the technique are also demonstrated using a simulated data set, showing the effectiveness of the technique to any general problem in supersonic jets, heat transfer, combustion or other areas in fluid mechanics, where an advection process can be identified.

中文翻译：

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基于 POD-Galerkin 的方法在时间分辨和时间未分辨数据中的应用，以确定高速流动中大规模相干结构的对流速度

摘要 受高速自由射流和撞击射流中的气动声学反馈回路现象的启发，本文提出了对 POD（适当正交分解）-伽辽金方法确定剪切层中相干结构的平均对流速度的彻底检查。纸。如果数据集满足某些要求，则该技术被证明适用于时间解析和时间未解析数据。使用对合成数据集的详细敏感性分析，发现了对该技术所需时间分辨率的定量估计，这对于研究高速流动中的气动声学反馈回路的实验和数值研究都很有用. 此外，还使用模拟数据集展示了应用该技术的一些创新方法，