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Non-symmetric magnetohydrostatic equilibria: a multigrid approach View all abstracts by submitter

David MacTaggart   Submitted: 2013-07-23 08:36

Aims. Linear magnetohydrostatic (MHS) models of solar magnetic fields balance plasma pressure gradients, gravity and Lorentz forces where the current density is composed of a linear force-free component and a cross-field component that depends on gravitational stratification. In this paper, we investigate an efficient numerical procedure for calculating such equilibria. Methods. The MHS equations are reduced to two scalar elliptic equations ? one on the lower boundary and the other within the interior of the computational domain. The normal component of the magnetic field is prescribed on the lower boundary and a multigrid method is applied on both this boundary and within the domain to find the poloidal scalar potential. Once solved to a desired accuracy, the magnetic field, plasma pressure and density are found using a finite difference method. Results. We investigate the effects of the cross-field currents on the linear MHS equilibria. Force-free and non-force-free examples are given to demonstrate the numerical scheme and an analysis of speed-up due to parallelization on a graphics processing unit (GPU) is presented. It is shown that speed-ups of ?30 are readily achievable.

Authors: D. MacTaggart, A. Elsheikh, J. A. McLaughlin and R. D. Simitev
Projects: None

Publication Status: Published
Last Modified: 2013-07-24 11:16
Go to main E-Print page  Imaging coronal magnetic-field reconnection in a solar flare  Kelvin-Helmholtz instability of a coronal streamer  Edit Entry  Download Preprint  Submitter's Homepage Delete Entry 

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