Mean-field approximation and extended self-similarity in turbulence

被引：14
|
作者：
Yakhot, V
机构：
[1] Inst Adv Study, Princeton, NJ 08540 USA
[2] Boston Univ, Dept Aerosp & Mech Engn, Boston, MA 02215 USA
来源：
PHYSICAL REVIEW LETTERS | 2001年 / 87卷 / 23期
关键词：
D O I：
10.1103/PhysRevLett.87.234501
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Recent experimental discovery of extended self-similarity (ESS) was one of the most interesting developments. enabling precise determination of the scaling exponents of fully developed turbulence. A sufficient condition for extended self-similarity in a general dynamical system is derived in this paper. It is also shown that if the pressure-gradient contributions are expressed in terms of velocity differences in the mean-field approximation [V. Yakhot, Phys. Rev. E 63, 026307 (2001)], then the ESS is a consequence of the Navier-Stokes equations.
引用
收藏
页码：234501 / 1
页数：3
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