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Extended self-similarity works for the Burgers equation and why

Chakraborty, Sagar and Frisch, Uriel and Ray, Samriddhi Sankar (2010) Extended self-similarity works for the Burgers equation and why. In: Journal of Fluid Mechanics, 649 . pp. 275-285.

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Extended self-similarity (ESS), a procedure that remarkably extends the range of scaling for structure functions in Navier-Stokes turbulence and thus allows improved determination of intermittency exponents, has never been fully explained. We show that ESS applies to Burgers turbulence at high Reynolds numbers and we give the theoretical explanation of the numerically observed improved scaling at both the IR and UV end, in total a gain of about three quarters of a decade: there is a reduction of subdominant contributions to scaling when going from the standard structure function representation to the ESS representation. We conjecture that a similar situation holds for three-dimensional incompressible turbulence and suggest ways of capturing subdominant contributions to scaling.

Item Type: Journal Article
Publication: Journal of Fluid Mechanics
Publisher: Cambridge University Press
Additional Information: Copyright of this article belongs to Cambridge University Press.
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Date Deposited: 03 Jun 2010 05:20
Last Modified: 19 Sep 2010 06:07
URI: http://eprints.iisc.ac.in/id/eprint/28165

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