On energy conservation in extended magnetohydrodynamics

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 i...

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Published in:Physics of plasmas 2014-08, Vol.21 (8)
Main Authors: Kimura, Keiji, Morrison, P. J.
Format: Article
Language:English
Subjects:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
Computational fluid dynamics
ELECTRONS
ENERGY CONSERVATION
EQUATIONS
Fluid flow
MAGNETOHYDRODYNAMICS
MOMENT OF INERTIA
Plasma physics
VISCOSITY
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description 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_str_mv 10.1063/1.4890955
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source American Institute of Physics (AIP) Publications; American Institute of Physics:Jisc Collections:Transitional Journals Agreement 2021-23 (Reading list)
subjects 70 PLASMA PHYSICS AND FUSION TECHNOLOGY
Computational fluid dynamics
ELECTRONS
ENERGY CONSERVATION
EQUATIONS
Fluid flow
MAGNETOHYDRODYNAMICS
MOMENT OF INERTIA
Plasma physics
VISCOSITY
title On energy conservation in extended magnetohydrodynamics
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