Nonlinear force-free modeling of the corona in spherical coordinates

Abstract

We present a code for solving the nonlinear force-free equations in spherical polar geometry, with the motivation of modeling the magnetic field in the corona. The code is an implementation of the Grad-Rubin method. Our method is applicable to a spherical domain of arbitrary angular size. The implementation is based on a global spectral representation for the magnetic field which makes no explicit assumptions about the form of the magnetic field at the transverse boundaries of the domain. We apply the code to a bipolar test case with analytic boundary conditions, and we demonstrate the convergence of the Grad-Rubin method, and the self-consistency of the resulting numerical solution.

Accepted for publication in Solar Physics

References in corpus (7)

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• Nonlinear force-free modeling of the solar coronal magnetic field
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• Comparison of Two Coronal Magnetic Field Models for Reconstructing a Sigmoidal Solar Active Region With Coronal Loops
• A Fixed-point Scheme for the Numerical Construction of Magnetohydrostatic Atmospheres in Three Dimensions
• Computation of Relative Magnetic Helicity in Spherical Coordinates
• Solar Active Region Electric Currents Before and During Eruptive Flares
• Magnetic field extrapolation in active region well comparable with observations in multiple layers
• Temporal and spatial relationship of flare signatures and the force-free coronal magnetic field
• Magnetogram-matching Biot-Savart Law and Decomposition of Vector Magnetograms
• Data-constrained Magnetohydrodynamic Simulation of a Long Duration Eruptive Flare