Probability Density Function of Longitudinal Velocity Increment in Homogeneous Turbulence
chao-dyn
2009-10-31 v1 Chaotic Dynamics
Abstract
Two conditional averages for the longitudinal velocity increment u_r of the simulated turbulence are calculated: h(u_r) is the average of the increment of the longitudinal Laplacian velocity field with u_r fixed, while g(u_r) is the corresponding one of the square of the difference of the gradient of the velocity field. Based on the physical argument, we suggest the formulae for h and g, which are quite satisfactorily fitted to the 512^3 DNS data. The predicted PDF is characterized as (1) the Gaussian distribution for the small amplitudes, (2) the exponential distribution for the large ones, and (3) a prefactor before the exponential function for the intermediate ones.
Keywords
Cite
@article{arxiv.chao-dyn/9803010,
title = {Probability Density Function of Longitudinal Velocity Increment in Homogeneous Turbulence},
author = {Naoya Takahashi and Tsutomu Kambe and Tohru Nakano and Toshiyuki Gotoh and Kiyoshi Yamamoto},
journal= {arXiv preprint arXiv:chao-dyn/9803010},
year = {2009}
}
Comments
4 pages, 4 figures, using RevTeX3.1