An optimization principle for the computation of MHD equilibria in the solar corona

dc.creatorWiegelmann, Thomas
dc.creatorNeukirch, Thomas
dc.date2006-12-21
dc.date.accessioned2026-07-07T10:21:19Z
dc.date.available2026-07-07T10:21:19Z
dc.descriptionAIMS: We develop an optimization principle for computing stationary MHD equilibria. METHODS: Our code for the self-consistent computation of the coronal magnetic fields and the coronal plasma uses non-force-free MHD equilibria. Previous versions of the code have been used to compute non-linear force-free coronal magnetic fields from photospheric measurements. The program uses photospheric vector magnetograms and coronal EUV images as input. We tested our reconstruction code with the help of a semi-analytic MHD-equilibrium. The quality of the reconstruction was judged by comparing the exact and reconstructed solution qualitatively by magnetic field-line plots and EUV-images and quantitatively by several different numerical criteria. RESULTS: Our code is able to reconstruct the semi-analytic test equilibrium with high accuracy. The stationary MHD optimization code developed here has about the same accuracy as its predecessor, a non-linear force-free optimization code. The computing time for MHD-equilibria is, however, longer than for force-free magnetic fields. We also extended a well-known class of nonlinear force-free equilibria to the non-force-free regime for purposes of testing the code. CONCLUSIONS: We demonstrate that the code works in principle using tests with analytical equilibria, but it still needs to be applied to real data.
dc.description6 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/astro-ph/0612625
dc.identifierhttp://arxiv.org/abs/astro-ph/0612625
dc.identifierAstron.Astrophys.457:1053-1058,2006
dc.identifierdoi:10.1051/0004-6361:20065281
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/175133
dc.subjectAstrophysics
dc.subjectComputational Physics
dc.titleAn optimization principle for the computation of MHD equilibria in the solar corona
dc.typetext

Files

Collections