Nonlinear Force-Free Modeling of Coronal Magnetic Fields Part I: A Quantitative Comparison of Methods

By C. Schrijver, M. DeRosa, T. Metcalf, Yang Liu, J. McTiernan, S. Régnier, G. Valori, M. Wheatland, T. Wiegelmann. 2006

308 citations recorded by the source corpus.

Subfields: Astronomy and Astrophysics, Molecular Biology

View Paper: https://www.semanticscholar.org/paper/78ec0b36929b65535f5d6c4e3ae292705379727c

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

In Molecular Biology

Citations in the corpus

COEXISTING FLUX ROPE AND DIPPED ARCADE SECTIONS ALONG ONE SOLAR FILAMENT (2010, methodology): “Using the Low & Lou (1990) solution, Schrijver et al. (2006) have tested six NLFFF algorithms.”
Driving major solar flares and eruptions: A review (2008, background): “…changes proved elusive (other than temporary changes in line profiles during the flares, which are mostly if not entirely a consequence of the energy deposition in the near-atmospheric layers by populations of energetic particles generated early in the flare, see, e.g., Schrijver et al. 2006b).”
A CRITICAL ASSESSMENT OF NONLINEAR FORCE-FREE FIELD MODELING OF THE SOLAR CORONA FOR ACTIVE REGION 10953 (2009, methodology): “Another reason is that in earlier test cases using boundary data with known solutions (described in Schrijver et al. 2006), we found that enlarging the NLFFF computational domain improved the solution field in the central region of interest.”
Nonlinear Force-Free Modeling of Coronal Magnetic Fields. II. Modeling a Filament Arcade and Simulated Chromospheric and Photospheric Vector Fields (2008, result): “In the first of this series of papers, Schrijver et al. (2006) (hereafter referred to as Paper I) compared the results of model computations using six different NLFFF algorithms, including optimization, magneto-frictional, Grad – Rubin-based and Green’s-function-based methods.”
Tracking Vector Magnetograms with the Magnetic Induction Equation (2008, methodology): “The flux transport and perpendicular plasma velocity estimates are further quantified by considering the metrics used by Schrijver et al. (2006), Welsch et al. (2007), and Metcalf et al. (2008).”
How Should One Optimize Nonlinear Force-Free Coronal Magnetic Field Extrapolations from SDO/HMI Vector Magnetograms? (2012, background): “…17 February 2012; 2:12; p. 7 Wiegelmann et al. average angle σj between the magnetic field and electric current (see (Wheatland, Sturrock, and Roumeliotis, 2000; Schrijver et al., 2006) for details) and L1∞ and L2∞, which are the L∞ norms for the Lorentz force and divergence, respectively.”
Self-consistent Coronal Heating and Solar Wind Acceleration from Anisotropic Magnetohydrodynamic Turbulence (2007, background): “The specific functional form of the B0 enhancement in the low corona can be improved in order to agree with, e.g., force-free magnetic field reconstructions of active regions (Schrijver et al. 2006).”
Nonlinear Force-free Field Modeling of a Solar Active Region around the Time of a Major Flare and Coronal Mass Ejection (2007, methodology): “We apply the fourNLFFfield algorithms described in Schrijver et al. (2006) and, where modified, by Metcalf et al. (2008): the weighted optimization algorithm byWiegelmann (2004), the uniformlyweighted optimizationmodel as implemented byMcTiernan (Wheatland et al. 2000), themagnetofrictional code…”
An Observational Overview of Solar Flares (2011, background): “Many competing mathematical and MHD-based approaches have been applied to the problem of extrapolating the photospheric knowledge into the corona (Schrijver et al. 2006), but several substantial problems prevent these techniques from being quantitatively persuasive.”
Solar Force-free Magnetic Fields (2012, methodology): “Metcalf et al. (2008) tested the performance of the NLFFF algorithms applied to a solar-like reference model including realistic photospheric Lorentz forces and a complex magnetic field structure.”
GLOBAL ENERGETICS OF THIRTY-EIGHT LARGE SOLAR ERUPTIVE EVENTS (2012, background): “Published values for free energies in analytic (Schrijver et al. 2006) and semi-empirical (Metcalf et al. 2008) fields meant to model solar fields also hover around a few tens of percent of the potential field energy.”
The Magnetic Connection between the Convection Zone and Corona in the Quiet Sun (2007, methodology): “If this is the case, it is possible to use static extrapolation techniques to study the magnetic topology of the atmosphere (see Schrijver et al. 2006 and references therein).”