Wavelets for the study of intermittency and its topology

Authors
Nicolleau, F Vassilicos, JC
Citation
F. Nicolleau et Jc. Vassilicos, Wavelets for the study of intermittency and its topology, PHI T ROY A, 357(1760), 1999, pp. 2439-2457
Citations number
12
Categorie Soggetti
Multidisciplinary
Journal title
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
ISSN journal
1364503X → ACNP
Volume
357
Issue
1760
Year of publication
1999
Pages
2439 - 2457
Database
ISI
SICI code
1364-503X(19990915)357:1760<2439:WFTSOI>2.0.ZU;2-Y
Abstract
We make a distinction between two topologically different types of intermit tency: isolated, as in spirals, and non-isolated, as in fractals. For a bro ad class of isolated and a broad class of non-isolated intermittent topolog ies, the flatness F(r) of velocity differences and the eddy capacity DE obt ained from a wavelet analysis are related by F(r)similar to r(DE-1). Inertial range intermittency is such that D-E less than or equal to 0.94 an d F(r) similar to r(-0.11) for jet turbulence with Re-lambda = 835 and for grid turbulence with Re-lambda = 3050.