Classical Kolmogorov scaling is inconsistent with local coupling

Details Classical Kolmogorov scaling is inconsistent with local coupling Classical Kolmogorov scaling is inconsistent with local coupling

1996-07-15

arxiv.org/abs/chao-dyn/9607008v1

Nonlinear Sciences

Chaotic Dynamics

41 pages(REVTeX), 15 included encapsulated Postscript figures, Stylefile here.sty, submitted to Phys. Fluids

Scientific paper

We consider cascade models of turbulence which are obtained by restricting the Navier-Stokes equation to local interactions. By combining the results of the method of extended self-similarity and a novel subgrid model, we investigate the inertial range fluctuations of the cascade. Significant corrections to the classical scaling exponents are found. The dynamics of our local Navier-Stokes models is described accurately by a simple set of Langevin equations proposed earlier as a model of turbulence [Phys. Rev. E {\bf 50}, 285 (1994)]. This allows for a prediction of the intermittency exponents without adjustable parameters. Excellent agreement with numerical simulations is found.

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