Statistics of the inverse-cascade regime in two-dimensional magnetohydrodynamic turbulence
arXiv:1403.6607 · doi:10.1103/PhysRevE.90.013018
Abstract
We present a detailed direct numerical simulation of statistically steady, homogeneous, isotropic, two-dimensional magnetohydrodynamic (2D MHD) 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 sig- nificantly 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 distin- guishes 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.
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Cited by in corpus (6)
- Cascades and transitions in turbulent flows
- On the edge of an inverse cascade
- CHNS: A case study of turbulence in elastic media
- Two-dimensional magnetohydrodynamic turbulence with large and small energy-injection length scales
- Direction of cascades in a magnetofluid model with electron skin depth and ion sound Larmor radius scales
- Inverse cascade of hybrid helicity in -MHD turbulence