Temporal intermittency and cascades in shell models of turbulence

Details Temporal intermittency and cascades in shell models of turbulence Temporal intermittency and cascades in shell models of turbulence

1998-12-02

arxiv.org/abs/chao-dyn/9812008v1

Phys. Rev. E, 54, 985-988, 1996

Nonlinear Sciences

Chaotic Dynamics

4 pages, 4 figures

Scientific paper

10.1103/PhysRevE.54.985

The 2d and 3d like Gletzer, Okhitani and Yamada (GOY) shell models are examined. The 2d like model shows a transition from statistical quasi-equilibrium to cascade of enstrophy as a function of the spectral ratio of energy to enstrophy. The transition is related to the ratio of time scales, corresponding to eddy turnover times, between shells. The anomalous scaling, giving rise to non-linear scaling functions, is also connected to the ratio of eddy turnover times. This is illustrated in a simple stochastic model, where the structure function, $\zeta (q)$, becomes independent of $q$. In the 3d like model the multiscaling is also influenced by the existence of a second non-positive definite inviscid invariant, the helicity.

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