On energy conservation in extended magnetohydrodynamics

Journal Article · Fri Aug 15 00:00:00 EDT 2014 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4890955· OSTI ID:22304442

Kimura, Keiji ^[1]; Morrison, P. J. ^[2]

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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)

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.

• OSTI ID: 22304442
• Journal Information: Physics of Plasmas, Vol. 21, Issue 8; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
ELECTRONS
ENERGY CONSERVATION
EQUATIONS
MAGNETOHYDRODYNAMICS
MOMENT OF INERTIA
VISCOSITY