Multiscaling and Structure Functions in Turbulence: An Alternative Approach

Preprint

25 January 1999

preprint
Published by arXiv in arXiv

Abstract

We propose an alternative formulation of structure functions for the velocity field in fully developed turbulence. Instead of averaging moments of the velocity differences as a function of the distance, we suggest to average moments of the distances as a function of the velocity difference. This is like an ``inverted'' structure function, with a different statistics. On the basis of shell model calculations we obtain a new multiscaling spectrum.

Keywords

ALTERNATIVE FORMULATION
DEVELOPED TURBULENCE
VELOCITY DIFFERENCES
NEW MULTISCALING
AVERAGE MOMENTS
TURBULENCE
FUNCTION
DISTANCE
INVERTED

All Related Versions

Version 1, 1999-01-19, ArXiv
Version 2, 1999-01-25, ArXiv
Version 3, 1999-08-06, ArXiv
Published version: Physical Review Letters, 83 (1), 76.

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