87 citations · 268 across the 9 of their papers we have counts for
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On measuring divergence for magnetic field modeling
S. A. Gilchrist, K. D. Leka, G. Barnes +2
A physical magnetic field has a divergence of zero. Numerical error in constructing a model field and computing the divergence, however, introduces a finite divergence into these c…
Relative Magnetic Helicity Based on a Periodic Potential Field
Kai E. Yang, Michael S. Wheatland, Stuart A. Gilchrist
Magnetic helicity is conserved under ideal magnetohydrodynamics (MHD) and quasi-conserved even under a resistive process. The standard definition for magnetic helicity cannot be ap…
Vortex and sink flows in eruptive flares as a model for coronal implosions
Francesco P. Zuccarello, Guillaume Aulanier, Jaroslav Dudík +3
Eruptive flares are sudden releases of magnetic energy that involve many phenomena, several of which can be explained by the standard 2D flare model and its realizations in three-d…
A Fixed-point Scheme for the Numerical Construction of Magnetohydrostatic Atmospheres in Three Dimensions
S. A. Gilchrist, D. C. Braun, G. Barnes
Magnetohydrostatic models of the solar atmosphere are often based on idealized analytic solutions because the underlying equations are too difficult to solve in full generality. Nu…
The Influence of Spatial Resolution on Nonlinear Force-Free Modeling
M. L. DeRosa, M. S. Wheatland, K. D. Leka +11
The nonlinear force-free field (NLFFF) model is often used to describe the solar coronal magnetic field, however a series of earlier studies revealed difficulties in the numerical…
Nonlinear force-free modeling of the corona in spherical coordinates
S. A. Gilchrist, M. S. Wheatland
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 imple…
A Magnetostatic Grad-Rubin Code for Coronal Magnetic Field Extrapolations
S. A. Gilchrist, M. S. Wheatland
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 approac…
Guiding Nonlinear Force-Free Modeling Using Coronal Observations: First Results Using a Quasi Grad-Rubin Scheme
A. Malanushenko, C. J. Schrijver, M. L. DeRosa +2
Presently, many models of the coronal magnetic field rely on photospheric vector magnetograms but these data have been shown to be problematic as the sole boundary information for…
The free energy of NOAA active region AR 11029
S. A. Gilchrist, M. S. Wheatland, K. D. Leka
The NOAA active region AR 11029 was a small but highly active sunspot region which produced 73 GOES soft X-ray flares. The flares appear to show a departure from the well known pow…