Mean-field approximation and extended self-similarity in turbulence - art.no. 234501

Authors
Citation
V. Yakhot, Mean-field approximation and extended self-similarity in turbulence - art.no. 234501, PHYS REV L, 8723(23), 2001, pp. 4501
Citations number
11
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW LETTERS
ISSN journal
0031-9007 → ACNP
Volume
8723
Issue
23
Year of publication
2001
Database
ISI
SICI code
0031-9007(200112)8723:23<4501:MAAESI>2.0.ZU;2-F
Abstract
Recent experimental discovery of extended self-similarity (ESS) was one of the most interesting developments. enabling precise determination of the sc aling exponents of fully developed turbulence. A sufficient condition for e xtended self-similarity in a general dynamical system is derived in this pa per. It is also shown that if the pressure-gradient contributions are expre ssed in terms of velocity differences in the mean-field approximation [V. Y akhot, Phys. Rev. E 63, 026307 (2001)], then the ESS is a consequence of th e Navier-Stokes equations.