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Statistics of the inverse-cascade regime in two-dimensional magnetohydrodynamic turbulence

Banerjee, Debarghya and Pandit, Rahul (2014) Statistics of the inverse-cascade regime in two-dimensional magnetohydrodynamic turbulence. In: PHYSICAL REVIEW E, 90 (1).

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Official URL: http://dx.doi.org/ 10.1103/PhysRevE.90.013018

Abstract

We present a detailed direct numerical simulation of statistically steady, homogeneous, isotropic, two-dimensional magnetohydrodynamic turbulence. Our study concentrates on the inverse cascade of the magnetic vector potential. We examine the dependence of the statistical properties of such turbulence on dissipation and friction coefficients. We extend earlier work significantly by calculating fluid and magnetic spectra, probability distribution functions (PDFs) of the velocity, magnetic, vorticity, current, stream-function, and magnetic-vector-potential fields, and their increments. We quantify the deviations of these PDFs from Gaussian ones by computing their flatnesses and hyperflatnesses. We also present PDFs of the Okubo-Weiss parameter, which distinguishes between vortical and extensional flow regions, and its magnetic analog. We show that the hyperflatnesses of PDFs of the increments of the stream function and the magnetic vector potential exhibit significant scale dependence and we examine the implication of this for the multiscaling of structure functions. We compare our results with those of earlier studies.

Item Type: Journal Article
Additional Information: Copy right for this article belongs to the AMER PHYSICAL SOC, ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Depositing User: Id for Latest eprints
Date Deposited: 27 Aug 2014 10:18
Last Modified: 27 Aug 2014 10:18
URI: http://eprints.iisc.ac.in/id/eprint/49696

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