Nonlinear Sciences – Chaotic Dynamics
Scientific paper
1998-03-18
Nonlinear Sciences
Chaotic Dynamics
accepted in PRE, revised version, REVTeX, 15 pages, 14 figures, included. Online (HTML) and PS versions of the paper available
Scientific paper
10.1103/PhysRevE.58.1811
We introduce a new shell model of turbulence which exhibits improved properties in comparison to the standard (and very popular) GOY model. The nonlinear coupling is chosen to minimize correlations between different shells. In particular the second order correlation function is diagonal in the shell index, the third order correlation exists only between three consecutive shells. Spurious oscillations in the scaling regime, which are an annoying feature of the GOY model, are eliminated by our choice of nonlinear coupling. We demonstrate that the model exhibits multi-scaling similarly to these GOY model. The scaling exponents are shown to be independent of the viscous mechanism as is expected for Navier-Stokes turbulence and other shell models. These properties of the new model make it optimal for further attempts to achieve understanding of multi-scaling in nonlinear dynamics.
L'vov Victor S.
Podivilov Evgenii
Pomyalov Anna
Procaccia Itamar
Vandembroucq Damien
No associations
LandOfFree
An optimal shell model of turbulence does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with An optimal shell model of turbulence, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An optimal shell model of turbulence will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-707338