[Table of Contents]

Plasma and Fusion Research

Volume 8, 2401137 (2013)

Regular Articles

Reduction of Nonlinear Effects in Magnetohydrodynamic and Hall Magnetohydrodynamic Turbulence
Keisuke ARAKI and Hideaki MIURA1)
Okayama University of Science, Okayama 700-0005, Japan
1)
National Institute for Fusion Science, Toki 509-5292, Japan
(Received 22 November 2012 / Accepted 21 June 2013 / Published 15 November 2013)

Abstract

We analyzed energy transfer processes induced by triad mode interactions in homogeneous, isotropic turbulence in magnetohydrodynamic (MHD) and Hall magnetohydrodynamic (HMHD) media. In particular, we analyzed the Fourier spectra of the energy transfers using geometric-series shell-partitioning methods, analogous to dyadic wavelet analysis. Snapshot datasets were collected once the MHD and HMHD turbulences had sufficiently developed. Graphs of all energy spectra were well collapsed after the normalization using the dissipation rates and the diffusion coefficients, i.e. they showed good self-similarity. Despite such self-similarity of energy spectra, the transfer due to mode interactions between the fluid advection and Hall term was reduced over time, while those due to the Lorentz force and induction remained rather stationary in regions of higher wave number.

Keywords

Hall magnetohydrodynamics, turbulence, energy transfer, wavelet analysis

DOI: 10.1585/pfr.8.2401137

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This paper may be cited as follows:

Keisuke ARAKI and Hideaki MIURA, Plasma Fusion Res. 8, 2401137 (2013).