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Numerical simulations of kink instability in line-tied coronal loops
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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
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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 |
| Date: | July 2001 |
| 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 |
| URI: | http://wrap.warwick.ac.uk/id/eprint/3819 |
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