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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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|
|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|
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