Journal
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY
Volume 423, Issue 2, Pages 1416-1436Publisher
OXFORD UNIV PRESS
DOI: 10.1111/j.1365-2966.2012.20969.x
Keywords
magnetic fields; MHD; plasmas; relativistic processes; methods: numerical; pulsars: general
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Funding
- NASA [NNX-10-AI72G, NNX-10-AN14G]
- DOE [DE-FG02-92-ER40699]
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We describe a new scheme for evolving the equations of force-free electrodynamics, the vanishing-inertia limit of magnetohydrodynamics. This pseudo-spectral code uses global orthogonal basis function expansions to take accurate spatial derivatives, allowing the use of an unstaggered mesh and the complete force-free current density. The method has low numerical dissipation and diffusion outside of singular current sheets. We present a range of one- and two-dimensional tests, and demonstrate convergence to both smooth and discontinuous analytic solutions. As a first application, we revisit the aligned rotator problem, obtaining a steady solution with resistivity localized in the equatorial current sheet outside the light cylinder.
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