(1+1)-dimensional turbulence
chao-dyn
2009-10-28 v1 Chaotic Dynamics
Abstract
A class of dynamical models of turbulence living on a one-dimensional dyadic-tree structure is introduced and studied. The models are obtained as a natural generalization of the popular GOY shell model of turbulence. These models are found to be chaotic and intermittent. They represent the first example of (1+1)-dimensional dynamical systems possessing non trivial multifractal properties. The dyadic structure allows to study spatial and temporal fluctuations. Energy dissipation statistics and its scaling properties are studied. Refined Kolmogorov Hypothesis is found to hold.
Cite
@article{arxiv.chao-dyn/9610012,
title = {(1+1)-dimensional turbulence},
author = {R. Benzi and L. Biferale and R. Tripiccione and E. Trovatore},
journal= {arXiv preprint arXiv:chao-dyn/9610012},
year = {2009}
}
Comments
18 pages, 9 figures, submitted to Phys.of Fluids