Local coupling of shell models leads to anomalous scaling |
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Authors: | C Uhlig J Eggers |
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Affiliation: | 1. Fachbereich Physik, Universit?t — Gesamthochschule — Essen, D-45117, Essen, Germany
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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 20]. This allows for a prediction of the intermittency exponents without adjustable parameters. Excellent agreement with numerical simulations is found. |
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