Pair dispersion and doubling time statistics in two-dimensional turbulence.
Pair dispersion and doubling time statistics in two-dimensional turbulence.
复制标题
二维湍流中的对色散和倍增时间统计。
作者：
M. Rivera;R. Ecke
本文报道了一个电磁强迫分层系统的二维湍流中对分离统计的实验测量结果，该系统具有由一个定义良好的空间注入尺度分离的直接涡度拟能和逆能量传递的同时范围。作为时间的函数对分离的数据进行了分析，以确定在这两个政权的分离统计的依赖性。使用倍增时间统计，我们表明如何测量的标度的平均量是一致的指数行为的拟能范围和幂律行为的逆能量范围。倍增时间概率分布函数的指数标度与理论预测吻合得很好。有限的尺寸效应被证明在数据的解释中起着重要的作用。
Experimental measurements of pair separation statistics in two-dimensional turbulence are reported for an electromagnetically forced stratified-layer system with simultaneous ranges of direct-enstrophy and inverse-energy transfer separated by a well-defined spatial injection scale. Data for pair separation as a function of time are analyzed to determine the dependence of separation statistics in both regimes. Using doubling-time statistics, we show how the measured scalings of the mean quantities are consistent with exponential behavior in the enstrophy range and power-law behavior in the inverse-energy range. Exponential scaling of the doubling-time probability distribution function agrees well with theoretical predictions. Finite size effects are shown to play an important role in the interpretation of the data.