• Two-dimensional equilibrium in...

Result: Two-dimensional equilibrium in coronal magnetostatic flux tubes: an accurate equilibrium solver

Title:
Two-dimensional equilibrium in coronal magnetostatic flux tubes: an accurate equilibrium solver
Authors:
BELIEN, A. J. C, POEDTS, S, GOEDBLOED, J. P
Source:
Computer physics communications. 106(1-2):21-38
Publisher Information:
Amsterdam: Elsevier Science, 1997.
Publication Year:
1997
Physical Description:
print,
Original Material:
ELSEVIER
INIST-CNRS
Subject Terms:
Computer science, Informatique, Theoretical physics, Physique théorique, Sciences exactes et technologie, Exact sciences and technology, Terre, ocean, espace, Earth, ocean, space, Astronomie, Astronomy, Astronomie fondamentale et astrophysique. Instrumentation, techniques, et observations astronomiques, Fundamental astronomy and astrophysics. Instrumentation, techniques, and astronomical observations, Problèmes fondamentaux d'astrophysique, Fundamental aspects of astrophysics, Magnétohydrodynamique et plasma, Magnetohydrodynamics and plasmas, Techniques d'observation et de réduction des données. Simulation et modélisation par ordinateur, Observation and data reduction techniques. Computer modeling and simulation, Méthodes mathématiques et méthodes de simulation sur ordinateur, Mathematical procedures and computer techniques, Système solaire, Solar system, Physique solaire, Solar physics, Couronne solaire. Boucles coronales, jets et trous coronaux, Corona. Coronal loops, streamers, and holes, Corona; coronal loops, streamers, and holes, Boucle coronale, Coronal loop, Bucle coronal, Elément fini isoparamétrique, Isoparametric finite element, Elemento finito isoparamétrico, Equation Grad Shafranov, Grad-Shafranov equation, Flux magnétique, Magnetic flux, Onde MHD, MHD waves, Physique plasma, Plasma physics, Solution numérique, Numerical solution, Tube magnétique, Magnetic tube, Tubo magnético
Document Type:
Academic journal Article
File Description:
text
Language:
English
Author Affiliations:
FOM-Institute for Plasma Physics 'Rijnhuizen', P.O.Box 1207, 3430 BE Nieuwegein, Netherlands
Centre for Plasma Astrophysics, KU Leuven, Leuven, Belgium
ISSN:
0010-4655
Access URL:
http://pascal-francis.inist.fr/vibad/index.php?action=search&terms=2196216
Rights:
Copyright 1998 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Astronomy
Accession Number:
edscal.2196216
Database:
PASCAL Archive

Further Information

Copyright (c) 1997 Elsevier Science B.V. All rights reserved. To study linearized magnetohydrodynamic (MHD) waves, continuous spectra, and instabilities in coronal magnetic flux tubes that are anchored in dense chromospheric and photospheric regions, a two-dimensional numerical code, called PARIS, has been developed. PARIS solves the pertinent nonlinear Grad-Shafranov type, partial differential equation for the magnetic flux on a flux coordinate grid. Both a straight field line coordinate system and an orthogonal flux coordinate system are exploited. Isoparametric bicubic Hermite finite elements have been adopted to solve the Grad-Shafranov-like equation. These elements allow for a continuous representation of the flux and the gradient of the flux throughout the tube and can be aligned conveniently along the boundary of the tube. These properties are important to obtain an accurate representation of the solution on flux coordinate grids. An analytical test case is used to show that accurate solutions have been obtained, even for a small number of grid points. The equilibria calculated by PARIS are used to study the continuous spectra of two-dimensional magnetic flux tubes. One illustrative example is given here; extensive results are presented elsewhere (A.J.C. Beliën, S. Poedts and J.P. Goedbloed, Astron. Astrophys. 322 (1997) 995). The equilibria obtained by PARIS are also well suited to calculate the stability and the normal mode MHD spectrum.