Journal Article

A numerical magnetohydrodynamic scheme using the hydrostatic approximation

Jonathan Braithwaite and Yuri Cavecchi

in Monthly Notices of the Royal Astronomical Society

Published on behalf of The Royal Astronomical Society

Volume 427, issue 4, pages 3265-3279
Published in print December 2012 | ISSN: 0035-8711
Published online December 2012 | e-ISSN: 1365-2966 | DOI: http://dx.doi.org/10.1111/j.1365-2966.2012.22064.x
A numerical magnetohydrodynamic scheme using the hydrostatic approximation

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In gravitationally stratified fluids, length scales are normally much greater in the horizontal direction than in the vertical one. When modelling these fluids it can be advantageous to use the hydrostatic approximation, which filters out vertically propagating sound waves and thus allows a greater time-step. We briefly review this approximation, which is commonplace in atmospheric physics, and compare it to other approximations used in astrophysics such as Boussinesq and anelastic, finding that it should be the best approximation to use in context such as radiative stellar zones, compact objects, stellar or planetary atmospheres and other contexts. We describe a finite-difference numerical scheme which uses this approximation, which includes magnetic fields.

Keywords: hydrodynamics; MHD; methods: numerical; stars: atmospheres; stars: interiors; X-rays: bursts

Journal Article.  9096 words.  Illustrated.

Subjects: Astronomy and Astrophysics

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