Scale distributions and fractal dimensions in turbulence
Scale distributions and fractal dimensions in turbulence
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DOI：
10.1103/physrevlett.77.3795
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发表时间：
1996-10-28
影响因子：
8.6
通讯作者：
Dimotakis, PE
中科院分区：
文献类型：
--
作者：
Catrakis, HJ;Dimotakis, PE
采用将尺度分布与覆盖统计联系起来的新几何框架来分析湍流以及其他现象中出现的水平集。描述了一维形式主义并将其应用于泊松、对数正态和幂律统计。还提出了 d 维概括。分析湍流射流中射流流体浓度的二维空间测量的水平集，以计算尺度分布和分形维数。对数正态统计用于对内部尺度的水平集进行建模。结果与其他湍流的数据一致。
A new geometric framework connecting scale distributions to coverage statistics is employed to analyze level sets arising in turbulence as well as in other phenomena. A 1D formalism is described and applied to Poisson, lognormal, and power-law statistics. A d-dimensional generalization is also presented. Level sets of 2D spatial measurements of jet-fluid concentration in turbulent jets are analyzed to compute scale distributions and fractal dimensions. Lognormal statistics are used to model the level sets at inner scales. The results are in accord with data from other turbulent flows.