The Library

Numerical simulations of kink instability in line-tied coronal loops

Tools

Gerrard, C. L., Arber, T. D., Hood, Alan W. and Linden, R. A. M. van der. (2001) Numerical simulations of kink instability in line-tied coronal loops. Astronomy & Astrophysics, Vol.373 (No.3). pp. 1089-1098. ISSN 0004-6361

Preview

PDF
WRAP_gerrard_Numerical_simulations.pdf - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
Download (376Kb)

Official URL: http://dx.doi.org/10.1051/0004-6361:20010678

Abstract

The results from numerical simulations carried out using a new shock-capturing, Lagrangian-remap, 3D MHD code, Lare3d are presented. We study the evolution of the m=1 kink mode instability in a photospherically line-tied coronal loop that has no net axial current. During the non-linear evolution of the kink instability, large current concentrations develop in the neighbourhood of the infinite length mode rational surface. We investigate whether this strong current saturates at a finite value or whether scaling indicates current sheet formation. In particular, we consider the effect of the shear, defined by where is the fieldline twist of the loop, on the current concentration. We also include a non-uniform resistivity in the simulations and observe the amount of free magnetic energy released by magnetic reconnection.

Item Type:

Journal Article

Subjects:

Q Science > QB Astronomy

Divisions:

Faculty of Science > Physics

Library of Congress Subject Headings (LCSH):

Sun -- Corona -- Mathematical models, Sun -- Loop prominences -- Mathematical models, Magnetohydrodynamics

Journal or Publication Title:

Astronomy & Astrophysics

Publisher:

EDP Sciences

ISSN:

0004-6361

Official Date:

July 2001

Dates:

Date	Event
July 2001	Published

Volume:

Vol.373

Number:

No.3

Page Range:

pp. 1089-1098

Identification Number:

10.1051/0004-6361:20010678

Status:

Peer Reviewed

Access rights to Published version:

Open Access

Funder:

Higher Education Funding Council for England (HEFCE), Scottish Higher Education Funding Council (SHEFC)

References:

Arber, T. D., Longbottom, A. W., Gerrard, C. L., & Milne,
A. M. 2001, J. Comput. Phys., submitted
Arber, T. D., Longbottom, A. W. & Van der Linden, R. A. M.
1999, ApJ, 517, 990
Baty, H. 1997a, A&A, 318, 621
Baty, H. 1997b, Solar Phys., 172, 249
Baty, H. 2000a, A&A, 353, 1074
Baty, H. 2000b, A&A, 360, 345
Baty, H., & Heyvaerts, J. 1996, A&A, 308, 935
Baty, H., Einaudi, G., Lionello, R., & Velli, M. 1998, A&A,
333, 313
Bazdenkov, S., & Sato, T. 1998, ApJ, 500, 966
Bychenkov, V. Yu., Silin, V. P., & Uryupin, S. A. 1988, Phys.
Rep., 164, 119
Caramana, E. J., Shashkov, M. J., & Whalen, P. P. 1998, J.
Comput. Phys., 144, 70
Evans, C. R., & Hawley, J. F. 1988, ApJ, 332, 659
Goedbloed, J. P. 1983, Rijnhuizen Rep., 83, 145
Gold, T., & Hoyle, F. 1960, MNRAS, 120, 89
Hood, A. W. 1986, Solar Phys., 105, 307
Lionello, R., Velli, M., Einaudi, G., & Mikic, Z. 1998, ApJ, 494,
840
Priest, E. R., & Forbes, T. 2000, Magnetic Reconnection: MHD
theory and applications, CUP
Stone, J. M., & Norman, M. L. 1992, ApJS, 80, 753
Stone, J. M., & Norman, M. L. 1992, ApJS, 80, 791
Van Der Linden, R. A. M., Hood, A. W., & Goedbloed, J. P.
1995, Solar Phys., 154, 69
Van Leer, B. 1997, J. Comput. Phys., 135, 229
Velli, M., Einaudi, G., & Hood, A. W. 1990, ApJ, 350, 419
Wilkins, M. L. 1980, J. Comput. Phys., 36, 281