Guo, Y;
Xia, C;
Keppens, R;
Valori, G;
(2016)
Magneto-frictional Modeling Of Coronal Nonlinear Force-free Fields. I. Testing With Analytic Solutions.
The Astrophysical Journal
, 828
(2)
, Article 82. 10.3847/0004-637X/828/2/82.
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Abstract
We report our implementation of the magneto-frictional method in the Message Passing Interface Adaptive Mesh Refinement Versatile Advection Code (MPI-AMRVAC). The method aims at applications where local adaptive mesh refinement (AMR) is essential to make follow-up dynamical modeling affordable. We quantify its performance in both domain-decomposed uniform grids and block-adaptive AMR computations, using all frequently employed force-free, divergence-free, and other vector comparison metrics. As test cases, we revisit the semi-analytic solution of Low and Lou in both Cartesian and spherical geometries, along with the topologically challenging Titov-Démoulin model. We compare different combinations of spatial and temporal discretizations, and find that the fourth-order central difference with a local Lax-Friedrichs dissipation term in a single-step marching scheme is an optimal combination. The initial condition is provided by the potential field, which is the potential field source surface model in spherical geometry. Various boundary conditions are adopted, ranging from fully prescribed cases where all boundaries are assigned with the semi-analytic models, to solar-like cases where only the magnetic field at the bottom is known. Our results demonstrate that all the metrics compare favorably to previous works in both Cartesian and spherical coordinates. Cases with several AMR levels perform in accordance with their effective resolutions. The magneto-frictional method in MPI-AMRVAC allows us to model a region of interest with high spatial resolution and large field of view simultaneously, as required by observation-constrained extrapolations using vector data provided with modern instruments. The applications of the magneto-frictional method to observations are shown in an accompanying paper.
| Type: | Article |
|---|---|
| Title: | Magneto-frictional Modeling Of Coronal Nonlinear Force-free Fields. I. Testing With Analytic Solutions |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.3847/0004-637X/828/2/82 |
| Publisher version: | https://doi.org/10.3847/0004-637X/828/2/82 |
| Language: | English |
| Additional information: | Copyright © 2016. The American Astronomical Society. All rights reserved. |
| Keywords: | methods: numerical; Sun: corona; Sun: magnetic fields |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Space and Climate Physics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/1534014 |
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