Strong Universality in Forced and Decaying Turbulence

Details Strong Universality in Forced and Decaying Turbulence Strong Universality in Forced and Decaying Turbulence

2003-02-18

arxiv.org/abs/nlin/0302042v1

Phys. Rev E 67 (2003) 066310-066319.

Nonlinear Sciences

Chaotic Dynamics

RevTex 4, 10 pages, 5 Figures (included), 1 Table; PRE, submitted

Scientific paper

10.1103/PhysRevE.67.066310

The weak version of universality in turbulence refers to the independence of the scaling exponents of the $n$th order strcuture functions from the statistics of the forcing. The strong version includes universality of the coefficients of the structure functions in the isotropic sector, once normalized by the mean energy flux. We demonstrate that shell models of turbulence exhibit strong universality for both forced and decaying turbulence. The exponents {\em and} the normalized coefficients are time independent in decaying turbulence, forcing independent in forced turbulence, and equal for decaying and forced turbulence. We conjecture that this is also the case for Navier-Stokes turbulence.

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