Is Multiscaling an Artifact in the Stochastically Forced Burgers Equation?

Mitra, Dhrubaditya and Bec, Jeremie and Pandit, Rahul and Frisch, Uriel (2005) Is Multiscaling an Artifact in the Stochastically Forced Burgers Equation? In: Physical Review Letters, 94 (19). 194501-1-194501-4.

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Abstract

We study turbulence in the one-dimensional Burgers equation with a white-in-time, Gaussian random force that has a Fourier-space spectrum $\sim1/k$, 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:	Journal Article
Publication:	Physical Review Letters
Publisher:	American Physical Society
Additional Information:	The Copyright belongs to American Physical Society.
Department/Centre:	Division of Physical & Mathematical Sciences > Physics
Date Deposited:	24 Mar 2006
Last Modified:	19 Sep 2010 04:23
URI:	http://eprints.iisc.ac.in/id/eprint/5489

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