Introducing PHAEDRA: a new spectral code for simulations of relativistic magnetospheres

Details Introducing PHAEDRA: a new spectral code for simulations of relativistic magnetospheres Introducing PHAEDRA: a new spectral code for simulations of relativistic magnetospheres

2011-10-31

arxiv.org/abs/1110.6669v1

Astronomy and Astrophysics

Astrophysics

High Energy Astrophysical Phenomena

23 pages, 18 figures. Submitted to MNRAS

Scientific paper

We describe a new scheme for evolving the equations of force-free electrodynamics, the ultra-relativistic limit of magnetised fluid dynamics. This pseudospectral 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 localised in the equatorial current sheet outside the light cylinder.

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