Mean- Field Approximation and Extended Self-Similarity in Turbulence

Preprint

17 August 2001

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.nlin/0108035

Abstract

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. Here we show that the ESS is consistent with the Navier-Stokes equations, provided the pressure -gradient contributions are expressed in terms of velocity differences in the mean field approximation (Yakhot, Phys.Rev. E{\bf 63}, 026307, (2001)). A sufficient condition for extended self-similarity in a general dynamical system

Keywords

EXTENDED SELF SIMILARITY
MEAN FIELD APPROXIMATION
RECENT EXPERIMENTAL
TURBULENCE RECENT
DYNAMICAL SYSTEM
ESS

All Related Versions

Version 1, 2001-08-17, ArXiv
Published version: Physical Review Letters, 87 (23), 234501.

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