Analysis of turbulence by statistics based on generalized entropies
Analysis of turbulence by statistics based on generalized entropies
复制标题
基于广义熵的统计分析湍流
DOI：
10.1016/s0378-4371(01)00072-3
复制
发表时间：
2001
影响因子：
3.3
通讯作者：
N. Arimitsu
中科院分区：
文献类型：
--
作者：
T. Arimitsu;N. Arimitsu
通过假设其基础统计数据是基于熵的广义度量、Renyi 熵或 Havrda-Charvat-Tsallis (HCT) 熵，非微扰地推导了充分发展的湍流的速度结构函数的标度指数的解析公式。通过对观测值 μ=0.220 (±1%) 的自洽分析表明，该公式很好地解释了 Renyi 熵或 HCT 熵测量中出现的指标的单值 q=0.343 的实验数据。还给出了速度波动和速度梯度的概率密度函数。
An analytical formula of the scaling exponents of velocity structure function for fully developed turbulence is derived, non-perturbatively, by assuming that its underlying statistics is the one based on the generalized measures of entropy, the Renyi entropy or the Havrda–Charvat–Tsallis (HCT) entropy. It is revealed by a self-consistent analysis for the observed value μ=0.220 (±1%) that the formula explains experimental data very well with single value, q=0.343, of the index which appears in the measures of the Renyi entropy or of the HCT entropy. The probability density functions of the velocity fluctuation and of the velocity gradient are also presented.