arXiv 2603.047862026-03physics.flu-dyn

喷流中的波相互作用

Wave interactions in a screeching jet

University of Michigan（密歇根大学）；Monash University（蒙纳士大学）

Ali Farghadan, Jayson Beekman, Petronio Nogueira, Daniel Edgington-Mitchell, Aaron Towne

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AI总结：

本文通过研究喷流中激波细胞、凯尔文-希尔伯特波等波动的线性和非线性相互作用，揭示了三频和非线性相互作用在喷流动力学中的关键作用。

摘要：

我们使用一系列全局模型来研究喷流中激波细胞、凯尔文-希尔伯特波、引导喷流模态和其他波动之间的线性和非线性相互作用。首先，我们识别出Navier-Stokes算子线性化关于均流的轻度阻尼全局本征模态，并表明它们源于与不同激波细胞波数的相互作用。其次，我们利用解析分析研究喷流的线性输入输出行为，并获得喷流模式的时间周期性表示，其与实验数据相比具有良好的一致性。第三，我们利用谐波解析分析研究三频相互作用，包括喷流模式与喷流中其他波动之间的频间能量转移。最优谐波解析模式在喷流频率的谐波上的组成部分与尚未由全局模型预测的实验观察结果相吻合。第四，我们利用谐波解析分析的新型双线性公式研究喷流模式的非线性自相互作用对喷流中其他波动的影响。我们表明，由喷流模式的非线性自相互作用提供的强迫作用，加上其与谐波解析算子中其他频率的三频相互作用，足以解释能量向其他频率的重新分布以及相关的实验观察。总体而言，这些发现突显了三频和非线性相互作用在塑造喷流动力学中的关键作用，并为研究其他由周期性运动主导的流动中的类似相互作用提供了有前景的工作流程。

英文摘要：

We use a series of global models to investigate the linear and nonlinear interactions between shock cells, Kelvin-Helmholtz waves, guided jet modes, and other fluctuations in a screeching jet. First, we identify a set of lightly damped global eigenmodes of the Navier-Stokes operator linearized about the mean flow and show that they result from interactions with different shock-cell wavenumbers. Second, we use resolvent analysis to study the linear input-output behavior of the jet and obtain a time-periodic representation of the screech mode, which compares favorably with experimental data. Third, we use harmonic resolvent analysis to study triadic interactions, including inter-frequency energy transfer, between the screech mode determined from resolvent analysis and other fluctuations in the jet. The components of the optimal harmonic resolvent mode at harmonics of the screech frequency are consistent with experimental observations that have not been previously predicted by global models. Fourth, we leverage a novel bilinear formulation of harmonic resolvent analysis to study the impact of the screech mode's nonlinear self-interaction on other fluctuations in the jet. We show that the forcing provided by this nonlinear self-interaction of the screech mode, along with its triadic interactions with other frequencies embedded within the harmonic resolvent operator, is sufficient to explain the redistribution of energy to other frequencies and the associated experimental observations. In aggregate, these findings underscore the critical role of triadic and nonlinear interactions in shaping screech dynamics and offer a promising workflow for studying similar interactions in other flows dominated by periodic motions.

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