Extended Self-Similarity and Hierarchical Structure in Turbulence
Chaotic Dynamics
2009-11-07 v1
Abstract
It is shown that the two remarkable properties of turbulence, the Extended Self-Similarity (ESS) [R. Benzi {\it et al.}, Phy. Rev. E {\bf 48}, R29, (1993)] and the She-Leveque Hierarchical Structure (SLHS) [Z.S. She and E. Leveque, Phy. Rev. Lett. {\bf 72}, 336, (1994)] are related to each other. In particular, we have shown that a generalized hierarchical structure together with the most intense structures being shock-like give rise to ESS. Our analysis thus suggests that the ESS measured in turbulent flows is an indication of the shock-like intense structures. Results of analysis of velocity measurements in a pipe-flow turbulence support our conjecture.
Keywords
Cite
@article{arxiv.nlin/0112018,
title = {Extended Self-Similarity and Hierarchical Structure in Turbulence},
author = {Emily S. C. Ching and Zhen-Su She and Weidong Su and Zhengping Zou},
journal= {arXiv preprint arXiv:nlin/0112018},
year = {2009}
}
Comments
4 pages, 2 figures, submitted to Physical Review Letters