Sain, Anirban ; Pandit, Rahul (1999) Multiscaling in the randomly forced and conventional Navier-Stokes equations Physica A: Statistical Mechanics and its Applications, 270 (1-2). pp. 190-203. ISSN 0378-4371
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Official URL: http://www.sciencedirect.com/science/article/pii/S...
Related URL: http://dx.doi.org/10.1016/S0378-4371(99)00119-3
Abstract
We present an overview of some results we have obtained recently 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.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| Keywords: | Fluid Turbulence; Navier-Stokes Equation; Randomly Forced Navier-stokes Equation |
| ID Code: | 72708 |
| Deposited On: | 29 Nov 2011 04:43 |
| Last Modified: | 29 Nov 2011 04:43 |
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