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The universality of dynamic multiscaling in homogeneous, isotropic Navier–Stokes and passive-scalar turbulence

Ray, Samriddhi Sankar and Mitra, Dhrubaditya and Pandit, Rahul (2008) The universality of dynamic multiscaling in homogeneous, isotropic Navier–Stokes and passive-scalar turbulence. In: New Journal of Physics, 10 (3). 033003-1-033003-28.

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Official URL: http://www.iop.org/EJ/article/1367-2630/10/3/03300...

Abstract

We systematize the study of dynamic multiscaling of timedependent structure functions in different models of passive-scalar and fluid turbulence. We show that, by suitably normalizing these structure functions, we can eliminate their dependence on the origin of time at which we start our measurements and that these normalized structure functions yield the same linear bridge relations that relate the dynamic-multiscaling and equal-time exponents for statistically steady turbulence. We show analytically, for both the Kraichnan model of passive-scalar turbulence and its shell model analogue, and numerically, for the Gledzer–Ohkitani–Yamada (GOY) shell model of fluid turbulence and a shell model for passive-scalar turbulence, that these exponents and bridge relations are the same for statistically steady and decaying turbulence. Thus, we provide strong evidence for dynamic universality, i.e. dynamicmultiscaling exponents do not depend on whether the turbulence decays or is statistically steady.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to Institute of Physics.
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Date Deposited: 18 Sep 2008 07:27
Last Modified: 19 Sep 2010 04:49
URI: http://eprints.iisc.ernet.in/id/eprint/15760

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