On the existence and scaling of structure functions in turbulence according to the data

Details On the existence and scaling of structure functions in turbulence according to the data On the existence and scaling of structure functions in turbulence according to the data

2006-01-26

arxiv.org/abs/cond-mat/0601610v1

Proc. Nat. Acad. Sc. (USA) 103, 4352-4355, (2006).

Physics

Condensed Matter

Other Condensed Matter

15 pages, 5 figures, to appear in PNAS

Scientific paper

10.1073/pnas.0600482103

We sample a velocity field that has an inertial spectrum and a skewness that matches experimental data. In particular, we compute a self-consistent correction to the Kolmogorov exponent and find that for our model it is zero. We find that the higher order structure functions diverge for orders larger than a certain threshold, as theorized in some recent work. The significance of the results for the statistical theory of homogeneous turbulence is reviewed.

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