Variational Integrators for Inertial Magnetohydrodynamics
arXiv:1802.09676 · doi:10.1063/1.5026750
Abstract
Recently, an extended version of magnetohydrodynamics that incorporates electron inertia, dubbed inertial magnetohydrodynamics, has been proposed. This model features a noncanonical Hamiltonian formulation with a number of conserved quantities, including the total energy and modified versions of magnetic and cross helicity. In this work, a variational integrator is presented which preserves these conservation laws to machine accuracy. As long as effects due to finite electron mass are neglected, the scheme preserves the magnetic field line topology so that unphysical reconnection is absent. Only when effects of finite electron mass are added, magnetic reconnection takes place. The excellent conservation properties of the method are illustrated by numerical examples in 2D.
27 Pages. arXiv admin note: text overlap with arXiv:1707.03227
References in corpus (5)
Cited by in corpus (10)
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- Variational Integration for Ideal Magnetohydrodynamics and Formation of Current Singularities
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- A Finite Element Method for MHD that Preserves Energy, Cross-Helicity, Magnetic Helicity, Incompressibility, and
- A modified formal Lagrangian formulation for general differential equations