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Title: On energy conservation in extended magnetohydrodynamics

Abstract

A systematic study of energy conservation for extended magnetohydrodynamic models that include Hall terms and electron inertia is performed. It is observed that commonly used models do not conserve energy in the ideal limit, i.e., when viscosity and resistivity are neglected. In particular, a term in the momentum equation that is often neglected is seen to be needed for conservation of energy.

Authors:
 [1];  [2]
  1. Research Institute for Mathematical Sciences, Kyoto University, Kitashirakawa Oiwake-cho, Sakyo-ku, Kyoto 606-8502 (Japan)
  2. Department of Physics and Institute for Fusion Studies, University of Texas at Austin, Austin, Texas 78712-1060 (United States)
Publication Date:
OSTI Identifier:
22304442
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 21; Journal Issue: 8; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ELECTRONS; ENERGY CONSERVATION; EQUATIONS; MAGNETOHYDRODYNAMICS; MOMENT OF INERTIA; VISCOSITY

Citation Formats

Kimura, Keiji, and Morrison, P. J. On energy conservation in extended magnetohydrodynamics. United States: N. p., 2014. Web. doi:10.1063/1.4890955.
Kimura, Keiji, & Morrison, P. J. On energy conservation in extended magnetohydrodynamics. United States. doi:10.1063/1.4890955.
Kimura, Keiji, and Morrison, P. J. Fri . "On energy conservation in extended magnetohydrodynamics". United States. doi:10.1063/1.4890955.
@article{osti_22304442,
title = {On energy conservation in extended magnetohydrodynamics},
author = {Kimura, Keiji and Morrison, P. J.},
abstractNote = {A systematic study of energy conservation for extended magnetohydrodynamic models that include Hall terms and electron inertia is performed. It is observed that commonly used models do not conserve energy in the ideal limit, i.e., when viscosity and resistivity are neglected. In particular, a term in the momentum equation that is often neglected is seen to be needed for conservation of energy.},
doi = {10.1063/1.4890955},
journal = {Physics of Plasmas},
number = 8,
volume = 21,
place = {United States},
year = {Fri Aug 15 00:00:00 EDT 2014},
month = {Fri Aug 15 00:00:00 EDT 2014}
}