Experimental analysis of self-similarity and random cascade processes: Application to fully developed turbulence data
Experimental analysis of self-similarity and random cascade processes: Application to fully developed turbulence data
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DOI：
10.1051/jp2:1997130
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发表时间：
1997-02-01
期刊：
影响因子：
--
通讯作者：
Roux, SG
中科院分区：
文献类型：
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作者：
Arneodo, A;Muzy, JF;Roux, SG
在充分发展的湍流背景下，Castaing等人最近主张用核G(aa‘)(x)来描述随机级联过程，该核G(aa‘)(x)表征了从尺度a’到更细尺度a时的级联性质。我们详细阐述了一种直接从实验数据估计所有尺度a和a’的G（aa'）形状的方法。我们将这种方法应用于湍流速度数据，并表明它提供了关于湍流间歇特性的各种现象学模型的可靠性的非常有指导意义的信息。
In the context of fully developed turbulence, Castaing et al. [10] have recently advocated a description of a random cascade process in terms of a kernel G(aa')(x) that characterizes the nature of the cascade when going from a scale a' to a finer scale a. We elaborate on a method to estimating, directly from experimental data, the shape of G(aa') for all scales a and a'. We apply this method to turbulent velocity data and we show that it provides very instructive informations about the soundness of various phenomenological models for the intermittency character of turbulent flows.