On the existence and scaling of structure functions in turbulence according to the data
- *Departament d’Enginyeria Informàtica i Matemàtiques, Universitat Rovira i Virgili, 43007 Tarragona, Spain; and
- †Department of Mathematics, University of California and Lawrence Berkeley National Laboratory, Berkeley, CA 94720
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Contributed by Alexandre J. Chorin, January 23, 2006
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.
Footnotes
- ‡To whom correspondence should be addressed. E-mail: chorin{at}math.berkeley.edu
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Author contributions: A.A. and A.J.C. designed research, performed research, contributed new reagents/analytic tools, analyzed data, and wrote the paper.
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Conflict of interest statement: No conflicts declared.
- Abbreviation:
- CDF,
- cumulative density function
- © 2006 by The National Academy of Sciences of the USA
