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Is multiscaling an artifact in the stochastically forced Burgers equation?

作者信息

Mitra Dhrubaditya, Bec Jérémie, Pandit Rahul, Frisch Uriel

机构信息

Centre for Condensed Matter Theory, Department of Physics, Indian Institute of Science, Bangalore.

出版信息

Phys Rev Lett. 2005 May 20;94(19):194501. doi: 10.1103/PhysRevLett.94.194501. Epub 2005 May 16.

DOI:10.1103/PhysRevLett.94.194501
PMID:16090175
Abstract

We study turbulence in the one-dimensional Burgers equation with a white-in-time, Gaussian random force that has a Fourier-space spectrum approximately 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.

摘要

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引用本文的文献

1
Dynamic multiscaling in stochastically forced Burgers turbulence.随机激励 Burgers 湍流中的动态多重分形。
Sci Rep. 2023 May 2;13(1):7151. doi: 10.1038/s41598-023-29056-3.