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Energy transfer in two-dimensional magnetohydrodynamic turbulence

1998/10/28 by Gaurav Dar, Dar, Gaurav, Mahendra K. Verma +3
Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Ionosphere and magnetosphere dynamics #Magnetic confinement fusion research #Solar and Space Plasma Dynamics #chao-dyn #nlin.CD

paper · pdf · doi:10.48550/arxiv.chao-dyn/9810032

31 pages (22 pages LaTeX + 9 postscript figures), submitted to Physics of Plasmas, also see physics/0006012

openalex publication_date 1998/10/28 · arxiv created 2000/07/14 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In an earlier paper (physics/0006012) we had developed a method for computing the effective energy transfer between any two Fourier modes in fluid or magnetohydrodynamic (MHD) flows. This method is applied to a pseudo-spectral, direct numerical simulation (DNS) study of energy transfer in the quasi-steady state of 2-D MHD turbulence with large scale kinetic forcing. Two aspects of energy transfer are studied: the energy fluxes, and the energy transfer between different wavenumber regions (\it shells). The picture of energy fluxes that emerges is quite complex - there is a forward cascade of magnetic energy, an inverse cascade of kinetic energy, a flux of energy from the kinetic to the magnetic field, and a reverse flux which transfers the energy back to the kinetic from the magnetic. The energy transfer between different wave number shells is also complex - local and nonlocal transfers often possess opposing features, i.e., energy transfer between some wave number shells occurs from kinetic to magnetic, and between other wave number shells this transfer is reversed. The net transfer of energy is from kinetic to magnetic. The results obtained from the flux studies and the shell-to-shell energy transfer studies are consistent with each other.

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