On energy conservation in extended magnetohydrodynamics
Plasma Physics
2015-06-19 v1 Solar and Stellar Astrophysics
Space Physics
Abstract
A systematic study of energy conservation for extended magnetohydrodynamic (MHD) 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.
Keywords
Cite
@article{arxiv.1406.2745,
title = {On energy conservation in extended magnetohydrodynamics},
author = {Keiji Kimura and P. J. Morrison},
journal= {arXiv preprint arXiv:1406.2745},
year = {2015}
}