论文标题

将基于POD-Galerkin的方法应用于时间解决的时间和时间未解决的数据,以确定高速流中大规模相干结构的对流速度

Application of a POD-Galerkin based method to time resolved and time unresolved data for the determination of the Convective Velocity of Large-Scale Coherent Structures in High Speed Flows

论文作者

Sikroria, Tushar, Soria, Julio, Sandberg, Richard, Ooi, Andrew

论文摘要

由高速自动喷气机的空气声反馈回路现象和撞击喷气式的动机,对POD(正确的正交分解) - galerkin方法进行了彻底检查,以确定本文中剪切层中相干结构的平均对流速度的平均对流速度。如果数据集满足某些要求,则该技术被证明适用于已解决的时间和时间未解决的数据。使用对合成数据集的详细灵敏度分析,已经找到了对该技术所需的时间分辨率的定量估计,这对实验都很有用,以及研究高速流中航空声音反馈循环的数值研究。此外,还使用模拟数据集证明了一些应用技术的创新方法,显示了该技术对超音速喷气机,热传递,燃烧或流体力学中的其他领域中任何一般问题的有效性,在这些问题中可以确定对流过程。

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.

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