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Turbulence and Multiscaling in the Randomly Forced Navier-Stokes Equation

Sain, Anirban and Manu, * and Pandit, Rahul (1998) Turbulence and Multiscaling in the Randomly Forced Navier-Stokes Equation. In: Physical Review Letters, 81 (20). pp. 4377-4380.

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Abstract

We present a pseudospectral study of the randomly forced Navier-Stokes equation (RFNSE) stirred by a stochastic force with zero mean and a variance ~k4-d-y, with k the wave vector and the dimension d = 3. We provide the first evidence for multiscaling of velocity structure functions for y >= 4. We extract the multiscaling exponent ratios zeta p/ zeta 2 by using extended self-similarity, examine their dependence on y, and show that, if y = 4, they are in agreement with those obtained for the Navier-Stokes equation forced at large spatial scales (3DNSE). Also well-defined vortex filaments, which appear clearly in studies of the 3DNSE, are absent in the RFNSE.

Item Type: Journal Article
Additional Information: Copyright for this article belongs to American Physical Society (APS)
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Date Deposited: 23 Jul 2004
Last Modified: 19 Sep 2010 04:14
URI: http://eprints.iisc.ernet.in/id/eprint/1129

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