On energy conservation in extended magnetohydrodynamics

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.

References in corpus (3)

• Hamiltonian formulation and analysis of a collisionless fluid reconnection model
• Hamiltonian magnetohydrodynamics: symmetric formulation, Casimir invariants, and equilibrium variational principles
• Hamiltonian and action formalisms for two-dimensional gyroviscous MHD

Cited by in corpus (13)

• Hamiltonian Formalism of Extended Magnetohydrodynamics
• Action Principles for Extended MHD Models
• Inertial magnetohydrodynamics
• Hamiltonian and action formalisms for two-dimensional gyroviscous MHD
• On the structure and statistical theory of turbulence of extended magnetohydrodynamics
• The action principle for generalized fluid motion including gyroviscosity
• Structure and computation of two-dimensional incompressible extended MHD
• Hamiltonian Magnetohydrodynamics: Lagrangian, Eulerian, and Dynamically Accessible Stability -- Examples with Translation Symmetry
• Modification of magnetohydrodynamic waves by the relativistic Hall effect
• Gravitational electromotive force in magnetic reconnection around Schwarzschild black holes
• Radiative Back-Reaction on Charged Particle Motion in the Dipole Magnetosphere of Neutron Stars
• Yet Another Modification of Relativistic Magnetohydrodynamic Waves: Electron Thermal Inertia
• Plasma turbulence in the equatorial electrojet: A two-dimensional Hamiltonian fluid model