1998/10/30 by P. D. Ditlevsen, Ditlevsen, P. D.
Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #chao-dyn #nlin.CD
paper · pdf · doi:10.48550/arxiv.chao-dyn/9811004
8 pages, 6 figures
arxiv created 2000/04/05 · arxiv updated 2009/11/30
Reduced wavenumber models of turbulence, shell models, show cascade processes and anomalous scaling of correlators which might be analogous to what is observed in Navier-Stokes (N-S) turbulence. The scaling properties of the shell models depends on the specific symmetries and invariants of the models. A new shell model is investigated. It is argued that this model might have a closer resemblance than the standard GOY model to the N-S turbulence. The new shell model coincides with the Sabra model proposed by L'vov et al. \citelvov, for a specific choice of the free parameters of their model. The model has for this choice of parameters, besides the energy and the 'helicity', a cubic inviscid invariant.