A numerical magnetohydrodynamic scheme using the hydrostatic approximation

Details A numerical magnetohydrodynamic scheme using the hydrostatic approximation A numerical magnetohydrodynamic scheme using the hydrostatic approximation

2012-04-02

arxiv.org/abs/1204.0394v1

Astronomy and Astrophysics

Astrophysics

Instrumentation and Methods for Astrophysics

15 pages, 18 figures, MNRAS submitted

Scientific paper

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 timestep. 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.

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