Links between dissipation, intermittency, and helicity in the GOY model revisited

Details Links between dissipation, intermittency, and helicity in the GOY model revisited Links between dissipation, intermittency, and helicity in the GOY model revisited

2005-10-18

arxiv.org/abs/nlin/0510038v2

Nonlinear Sciences

Chaotic Dynamics

24 pages, 13 figures; submitted to Physica D

Scientific paper

10.1016/j.physd.2006.01.028

High-resolution simulations within the GOY shell model are used to study various scaling relations for turbulence. A power-law relation between the second-order intermittency correction and the crossover from the inertial to the dissipation range is confirmed. Evidence is found for the intermediate viscous dissipation range proposed by Frisch and Vergassola. It is emphasized that insufficient dissipation-range resolution systematically drives the energy spectrum towards statistical-mechanical equipartition. In fully resolved simulations the inertial-range scaling exponents depend on both model parameters; in particular, there is no evidence that the conservation of a helicity-like quantity leads to universal exponents.

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