Watanabe T, Nakayama Y, Fujisaka H
Department of Physics, Faculty of Science, Kyushu University 33, Fukuoka 812-8581, Japan.
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 2000 Feb;61(2):R1024-7. doi: 10.1103/physreve.61.r1024.
The energy-flux fluctuation in the shell model of turbulence is numerically analyzed from the large deviation statistical point of view. We first observe that the rate function defined in the inertial range is independent of the Reynolds number. The rate function derived by the cascade model of the log-Poisson statistics turns out to be in good agreement with the present numerical result in the region where strong singularity of fluctuation exits. This fact may imply the universality as well as the robustness of the large deviation statistical quantities in turbulence.
从大偏差统计的角度对湍流壳层模型中的能量通量涨落进行了数值分析。我们首先观察到在惯性范围内定义的速率函数与雷诺数无关。由对数泊松统计的级联模型导出的速率函数在涨落存在强奇异性的区域与当前数值结果吻合良好。这一事实可能意味着湍流中大偏差统计量的普遍性和稳健性。
