From Global, à La Kolmogorov 1941, Scaling to Local Multifractal Scaling in Fully Developed Turbulence View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

1992

AUTHORS

U. Frisch

ABSTRACT

An inequality is established relating the exponents ζ2p of the structure functions of order 2p and the maximum velocity excursion. It follows that models (such as the Obukhov-Kolmogorov 1962 lognormal model), in which ζ2p does not increase mono-tonically, are inconsistent with the basic physics of incompressible flow. This result is independent of Novikov’s 1971 inequality; in particular, the proof presented here does not rely on the (questionable) relation, proposed by Obukhov and Kolmogorov, between instantaneous velocity increments and local averages of the dissipation. More... »

PAGES

13-23

Book

TITLE

Microscopic Simulations of Complex Hydrodynamic Phenomena

ISBN

978-1-4899-2316-5
978-1-4899-2314-1

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-1-4899-2314-1_2

DOI

http://dx.doi.org/10.1007/978-1-4899-2314-1_2

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1016090419


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