Space-time correlation is a staple method for investigating the dynamic coupling of spatial and temporal scales of motion in turbulent flows. In this article, we review the space-time correlation models in both the Eulerian and Lagrangian frames of reference, which include the random sweeping and local straining models for isotropic and homogeneous turbulence, Taylor's frozen-flow model and the elliptic approximation model for turbulent shear flows, and the linear-wave propagation model and swept-wave model for compressible turbulence. We then focus on how space-time correlations are used to develop time-accurate turbulence models for the large-eddy simulation of turbulence-generated noise and particle-laden turbulence. We briefly discuss their applications to two-point closures for Kolmogorov's universal scaling of energy spectra and to the reconstruction of space-time energy spectra from a subset of spatial and temporal signals in experimental measurements. Finally, we summarize the current understanding of space-time correlations and conclude with future issues for the field.

中文翻译：

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湍流中的时空相关性和动态耦合

时空相关性是研究湍流运动时空尺度动态耦合的主要方法。在本文中，我们回顾了欧拉和拉格朗日参考系中的时空相关模型，其中包括各向同性和均匀湍流的随机扫描和局部应变模型、泰勒的冻结流模型和湍流剪切的椭圆近似模型流动，以及可压缩湍流的线性波传播模型和扫掠波模型。然后，我们关注如何使用时空相关性来开发时间精确的湍流模型，以用于湍流产生的噪声和粒子负载湍流的大涡模拟。我们简要讨论了它们在 Kolmogorov 两点闭包中的应用 s 能谱的通用标度以及从实验测量中的空间和时间信号的子集重建时空能谱。最后，我们总结了当前对时空相关性的理解，并总结了该领域的未来问题。