On the existence and scaling of structure functions in turbulence according to the data.
basic_science · Level V
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- Record sourced from PubMed, PMID 16537375.
- Also identified by PMC identifier 1450174.
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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.