Universal scaling exponents in shell models of turbulence: Viscous effects are finite-size corrections to scaling

Details Universal scaling exponents in shell models of turbulence: Viscous effects are finite-size corrections to scaling Universal scaling exponents in shell models of turbulence: Viscous effects are finite-size corrections to scaling

1998-03-11

arxiv.org/abs/chao-dyn/9803014v1

Nonlinear Sciences

Chaotic Dynamics

PRL, submitted, REVTeX, 4 pages, 6 figures, included. Online (HTML) and PS versions of this and related papers available at

Scientific paper

10.1103/PhysRevLett.81.802

In a series of recent works it was proposed that shell models of turbulence exhibit inertial range scaling exponents that depend on the nature of the dissipative mechanism. If true, and if one could imply a similar phenomenon to Navier-Stokes turbulence, this finding would cast strong doubts on the universality of scaling in turbulence. In this Letter we propose that these ``nonuniversalities'' are just corrections to scaling that disappear when the Reynolds number goes to infinity.

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