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Multiscaling in the randomly forced and conventional Navier-Stokes equations

Sain, Anirban and Pandit, Rahul (1999) Multiscaling in the randomly forced and conventional Navier-Stokes equations. In: Physica A, 270 (1-2). pp. 190-203.

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Abstract

We present an overview of some results we have obtained recently (A. Sain, Manu and R. Pandit, Phys. Rev. Lett. 81 (1998) 4377) from 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 wavevector and the dimension d=3. These include the multiscaling of velocity structure functions for y>4 and a demonstration that the multiscaling exponent ratios p/2 for y=4 are in agreement with those obtained for the Navier–Stokes equation forced at large spatial scales (3dNSE). We also study a coarse-graining procedure for the 3dNSE and examine why it does not lead to the RFNSE.

Item Type: Journal Article
Keywords: Fluid turbulence;Navier Stokes equation;Randomly forced Navier–Stokes equation
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Date Deposited: 26 Jul 2004
Last Modified: 19 Sep 2010 04:14
URI: http://eprints.iisc.ernet.in/id/eprint/1132

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