(1+1)-dimensional turbulence

Details (1+1)-dimensional turbulence (1+1)-dimensional turbulence

1996-10-14

arxiv.org/abs/chao-dyn/9610012v1

Nonlinear Sciences

Chaotic Dynamics

18 pages, 9 figures, submitted to Phys.of Fluids

Scientific paper

10.1063/1.869356

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.

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