A Magnetostatic Grad-Rubin Code for Coronal Magnetic Field Extrapolations

Abstract

The coronal magnetic field cannot be directly observed, but in principle it can be reconstructed from the comparatively well observed photospheric magnetic field. A popular approach uses a nonlinear force-free model. Non-magnetic forces at the photosphere are significant meaning the photospheric data are inconsistent with the force-free model, and this causes problems with the modeling (De Rosa et al., Astrophys. J. 696, 1780, 2009). In this paper we present a numerical implementation of the Grad-Rubin method for reconstructing the coronal magnetic field using a magnetostatic model. This model includes a pressure force and a non-zero magnetic Lorentz force. We demonstrate our implementation on a simple analytic test case and obtain the speed and numerical error scaling as a function of the grid size.

Accepted for publication in Solar Physics

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Cited by in corpus (12)

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• Nonlinear Force-Free Extrapolation of the Coronal Magnetic Field Based on the MHD Relaxation Method
• 3D magnetic reconnection and its application to solar flares
• Magnetic Field Extrapolations in the Corona: Success and Future Improvements
• On the extrapolation of magneto-hydro-static equilibria on the sun
• Test magnetohydrostatic extrapolation with radiative MHD simulation of a solar flare
• A Fixed-point Scheme for the Numerical Construction of Magnetohydrostatic Atmospheres in Three Dimensions
• A Magnetohydrodynamic Relaxation Method for Non-Force-Free Magnetic Field in Magnetohydrostatic Equilibrium
• Magnetohydrostatic modeling of AR11768 based on a SUNRISE/IMaX vector magnetogram
• Analytical Three-dimensional Magnetohydrostatic Equilibrium Solutions for Magnetic Field Extrapolation Allowing a Transition from Non-force-free to Force-free Magnetic Fields
• Toward a fast and consistent approach to model solar magnetic fields in multiple layers
• Preprocessing of vector magnetograms for magnetohydrostatic extrapolations