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arXiv 1908.05422physics.flu-dyn
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湍流拟序结构的两点统计

Two-Point Statistics of Coherent Structure in Turbulent Flow

Jun Chen

摘要:

本文综述了基于两点关联的相干结构及其应用,重点介绍了统计相干结构的解释及其特征。我们回顾了这方面的研究,近年来引起了人们的注意,突出了改进,扩展,和有前途的未来方向的两点统计CS在湍流。CS是湍流的典型结构之一,它将能量从大尺度结构传递到小尺度结构。为了研究湍流中的相干结构,研究人员已经并正在深入研究大量用于相干结构识别和可视化的两点相关技术。本文首先对两点相关法进行了简要的回顾,并对不同方法进行了比较。一些使用的相关性在欧拉和拉格朗日参考框架,以获得其属性在连续的空间位置和时间事件进行调查。两点相关性,包括时空相关性,两点空间相关性,和交叉相关性,作为必不可少的理论和模型的湍流和实验和数值湍流数据的分析进行了讨论。详细地重申了基于两点相关的统计相干结构之一的速度涡度相关结构。最后,我们总结了目前对湍流两点相关性的理解,并总结了该领域未来的问题。

英文摘要:

This review summarizes the coherent structures (CS) based on two-point correlations and their applications, with a focus on the interpretation of statistic CS and their characteristics. We review studies on this topic, which have attracted attention in recent years, highlighting improvements, expansions, and promising future directions for two-point statistics of CS in turbulent flow. The CS is one of typical structures of turbulent flow, transporting energy from large-scale to small-scale structures. To investigate the CS in turbulent flow, a large amount of two-point correlation techniques for CS identification and visualization have been, and are currently being, intensively studied by researchers. Two-point correlations with examples and comparisons between different methods are briefly reviewed at first. Some of the uses of correlations in both Eulerian and Lagrangian frames of reference to obtain their properties at consecutive spatial locations and time events are surveyed. Two-point correlations, involving space-time correlations, two-point spatial correlations, and cross correlations, as essential to theories and models of turbulence and for the analyses of experimental and numerical turbulence data are then discussed. The velocity-vorticity correlation structure (VVCS) as one of the statistical CS based on two-point correlations is reiterated in detail. Finally, we summarize the current understanding of two-point correlations of turbulence and conclude with future issues for this field.

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