Large deviation statistics of the energy-flux fluctuation in the shell model of turbulence
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.
Watanabe
T
Department of Physics, Faculty of Science, Kyushu University 33, Fukuoka 812-8581, Japan.
Nakayama
Y
Fujisaka
H