Indistinguishable multiplier statistics of discrete and continous turbulent cascade models
chao-dyn
2007-05-23 v1 Chaotic Dynamics
Abstract
The multiplier statistics of discrete and continuous nonconservative multiplicative cascade models, employed to describe the energy cascade in fully developed turbulence, is investigated. It is found to be indistinguishable due to small-scale resummation and restoration of spatial homogeneity. Only the subclass of positively skewed weight distributions, associated to the cascade generator, qualifies to describe observed unconditional as well as conditional multiplier distributions qualitatively; popular log-Poisson and log-stable weight distributions do not share this property.
Cite
@article{arxiv.chao-dyn/9909033,
title = {Indistinguishable multiplier statistics of discrete and continous turbulent cascade models},
author = {Bruno Jouault and Juergen Schmiegel and Martin Greiner},
journal= {arXiv preprint arXiv:chao-dyn/9909033},
year = {2007}
}
Comments
14 pages, 4 figures