Is multiscaling an artifact in the stochastically forced burgers equation?

Mitra, Dhrubaditya ; Bec, Jérémie ; Pandit, Rahul ; Frisch, Uriel (2005) Is multiscaling an artifact in the stochastically forced burgers equation? Physical Review Letters, 94 (19). 194501_1-194501_4. ISSN 0031-9007

[img]
Preview
PDF - Author Version
334kB

Official URL: http://prl.aps.org/abstract/PRL/v94/i19/e194501

Related URL: http://dx.doi.org/10.1103/PhysRevLett.94.194501

Abstract

We study turbulence in the one-dimensional Burgers equation with a white-in-time, Gaussian random force that has a Fourier-space spectrum ~1/k, where k is the wave number. From very high-resolution numerical simulations, in the limit of vanishing viscosity, we find evidence for multiscaling of velocity structure functions which cannot be falsified by standard tests. We find a new artifact in which logarithmic corrections can appear disguised as anomalous scaling and conclude that bifractal scaling is likely.

Item Type:Article
Source:Copyright of this article belongs to The American Physical Society.
ID Code:33559
Deposited On:30 Mar 2011 12:36
Last Modified:17 May 2016 16:25

Repository Staff Only: item control page