Multiscaling in the randomly forced and conventional Navier–Stokes equations

Anirban Sain and Rahul Pandit

Physica A: Statistical Mechanics and its Applications, 1999, vol. 270, issue 1, 190-203

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 ζp/ζ2 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.

Keywords: Fluid turbulence; Navier–Stokes equation; Randomly forced Navier–Stokes equation (search for similar items in EconPapers)
Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:270:y:1999:i:1:p:190-203

DOI: 10.1016/S0378-4371(99)00119-3

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