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

Alex Arenas·Alexandre Chorin
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Abstract

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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Alex Arenas, Alexandre Chorin. 2006-01-26. On the existence and scaling of structure functions in turbulence according to the data. https://doi.org/10.1073/pnas.0600482103

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