Classical Kolmogorov scaling is inconsistent with local coupling

C. Uhlig; J. Eggers

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arXiv · chao-dyn/9607008

Classical Kolmogorov scaling is inconsistent with local coupling

C. Uhlig·J. Eggers

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Abstract

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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C. Uhlig, J. Eggers. 1996-07-15. Classical Kolmogorov scaling is inconsistent with local coupling. https://arxiv.org/abs/chao-dyn/9607008

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