Abstract
We consider cascade models of turbulence which are obtained by restricting the Navier-Stokes equation to lo- cal interactions. By combining the results of the method of extended self-similarity and a novel subgrid model, we in- vestigate the inertial range fluctuations of the cascade. Sig- nificant 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 al- lows for a prediction of the intermittency exponents without adjustable parameters. Excellent agreement with numerical simulations is found.
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