Abstract
Solar magnetic field is believed to play a central role in solar activities and flares, filament eruptions as well as CMEs are due to the magnetic field re-organization and the interaction between the plasma and the field. At present the reliable magnetic field measurements are still confined to a few lower levels like in photosphere and chromosphere. Although IR technique may be applied to observe the coronal field but the technique is not well-established yet. Radio techniques may be applied to diagnose the coronal field but assumptions on radiation mechanisms and propagations are needed. Therefore extrapolation from photospheric data upwards is still the primary method to reconstruction coronal field. Potential field has minimum energy content and a force-free field can provide the required excess energy for energy release like flares, etc. Linear models have undesirable properties and it is expected to consider non-constant-alpha force-free field model. As the recent result indicates that the plasma beta is sandwich-ed distributed above the solar surface (Gary, 2001), care must be taken in modeling the coronal field correctly. As the reconstruction of solar coronal magnetic fields is an open boundary problem, it is desired to apply some technique that can incorporate this property. The boundary element method is a well-established numerical techniques that has been applied to many fields including open-space problems. It has also been applied to solar magnetic field problems for potential, linear force-free field and non-constant-alpha force-free field problems. It may also be extended to consider the non-force-free field problem. Here we introduce the procedure of the boundary element method and show its applications in reconstruction of solar magnetic field problems.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Ai, G.: 1987, Publ. Beijing Astron. Obs. 9, 27.
Aly, J. J.: 1992, Sol. Phys. 138, 133.
Amari, T., Aly, J. J., Luciani, J. F., Boulmezaoud, T. and Mikic, Z.: 1997, Sol. Phys. 174, 129.
Aschwanden, M. J. and Alexander, D.: 2001, Sol. Phys. 204, 93.
Berger, M. A.: 1999, in M. R. Brown, R. C. Canfleld, and A. A. Pevtsov (eds.), Magnetic Helicity in Space and Laboratory Plasma, Geophysical Monograph 111, p. 1.
Brebbia, C. A., Teiles, J. C. F. and Wrobel, L. C.: 1984, Boundary Element Techniques, Springer-Verlag, Berlin.
Deng, Y., Ai, G., Wang J., Song, G., Zhang, B. and Ye, X.: 1997, Sol. Phys. 173, 207.
Deng, Y., Wang, J., Yan, Y. and Zhang, J.: 2001, Sol. Phys. 204, 9.
Fletcher, L. and Hudson, H.: 2001, Sol. Phys. 204, 71.
Fu, Q. J.: 1999, Progr. Astron. 15, 199.
Gary, G. A.: 1990, Mem. Soc. Ast. It. 61, 457.
Gary, G. A.: 2001, Sol. Phys. 203, 71.
Green, L. M., Harra, L. K., Matthews, S. A. and Culhane, J. L.: 2001, Sol. Phys. 200, 189.
Green, L. M., López Fuentes, M. C., Mandrini, C. H., Déoulin, P., Van Driel-Gesztelyi, L. and Culhane, J. L.: 2002, Sol. Phys. 208, 43.
Hood, A. W. and Priest, E. R.: 1981, Geophys. Astrophys. Fluid Dynamics 17, 297.
Karlický, M., Yan, Y., Fu, Q., Wang, S., Jiricka, K., Mézáosová, H. and Liu, Y. 2001, Astron. Astrophys. 369, 1104.
Klimchuk, J. A.: 2000, Sol. Phys. 193, 53.
Lin, H. S., Penn, M. J. and Tomczyk, S.: 2000, Astrophys. J. 541, 83.
Liu, Y., Akioka, M., Yan, Y. and Ai, G.: 1998a, Sol. Phys. 177, 395.
Liu, Y., Akioka, M., Yan, Y. and Sato, J.: 1998b, Sol. Phys. 180, 377.
Liu, Y. and Zhao, X.: 2002, American Geophysical Union, Fall Meeting 2001, #SH12B-0756 (http://sun.stanford.edu/~yliu/muri/nlfff.html).
Liu, Y., Zhao, X., Hoeksema, J. T., Scherrer, P. H., Wang, J. and Yan, Y.: 2002, Sol. Phys. 206, 333.
Low, B. C.: 1992, Astrophys. J. 399, 300.
Maia, D., Pick, M., Hawkins III, S. E., Formichev, V. V. and Jiricka, K.: 2001, Sol. Phys. 204, 199.
Masuda, S., Kosugi, S. and Hudson, H.: 2001, Sol. Phys. 204, 57.
McClymont, A. N., Jiao, L. and Mikic, Z.: 1997, Sol. Phys. 174, 191.
Metcalf, T. R., Jiao, L., McClymont, A. N., Canneld, R. C. and Uitenbroek, H.: 1995, Astrophys. J. 439, 474.
Mikic, Z. and McClymont, A. N.: 1994, in K. S. Balasubramaniam and G. Simon (eds), Solar Active Region Evolution: Comparing Models with Observations, A.S.P., San Francisco, p. 225.
Moon, Y.-J., Choe, G. S., Yun, H. S., Park, Y D. and Mickey, D. L.: 2002, Astrophys. J. 568, 422.
Neukirch, T.: 1995, Astron. Astrophys. 274, 319.
Parker, E. N.: 2001, Chinese J. Astron. Astrophys. 1, 99.
Pohjolainen, S., Maia, D., Pick, M., Vilmer, N., Khan, J. I., Otruba, W., Warmuth, A., Benz, A., Alissandrakis, C. and Thompson, B. J.: 2001, Astrophys. J. 556, 421.
Priest, E. R.: 1994, in A. O. Benz and T. J.-L. Courvoisier (eds), Plasma Astrophysics, Springer-Verlag, Berlin, p. 1.
Priest, E. R.: 1999, in M. R. Brown, R. C. Canneld and A. A. Pevtsov (eds), Magnetic Helicity in Space and laboratory Plasma, Geophysical Monograph 111, p. 141.
Priest, E. R. and Forbes, T.: 2000, Magnetic Reconnetion-MHD Theory and Applications, Cambridge University Press, Cambridge, 359.
Roumeliotis, G.: 1996, Astrophys. J. 473, 1095.
Sakurai, T.: 1981, Sol. Phys. 69, 343.
Sakurai, T.: 1989, Space Sci. Rev. 51, 11.
Thompson, B. J., Cliver, E. W., Nitta, N., Delannée, C. and Delaboudinière, J.-P.: 2000, Geophys. Res. Lett. 27, 1431.
Wang, H. N., Yan, Y., Sakurai, T. and Zhang M.: 2000, Solar Phys. 197, 263.
Wang, H. N., Yan, Y. and Sakurai, T.: 2001, Sol. Phys. 201, 323.
Wang, J. X.: 1999, Fund. Cosmic Phys. 20, 251.
Wang, S. J., Yan, Y., Zhao, R. Z., Fu, Q., Tan, C. M., Xu, L., Wang, S. and Lin, H.: 2001, Sol. Phys. 204, 155.
Wang, T. J., Yan, Y. H., Wang, J. L., Kurokawa, H. and Shibata, K.: 2002, Astropohys. J. 572, 580.
Warmuth, A., Hanslmeier, A., Messerotti, M., Cacciani, A., Moretti, P. F. and Otruba, W.: 2000, Sol. Phys. 194, 10.
Wu, S. T., Sun, M. T., Chang, H. M., Hagyard, M. J. and Gary, G. A.: 1990, Astrophys. J. 362, 698.
Yan, Y.: 1995a, Sol. Phys. 159, 97.
Yan, Y.: 1995b, Lett. Math. Phys. 34, 365.
Yan, Y.: 1998, Astrophysics Reports-Publ. Beijing Astron. Obs. 32, 69.
Yan, Y.: 2002, in The 10th European Meeting on Solar Physics, Prague, Czech Republic, 9-15 September 2002 (ESA SP506, 2002), 401.
Yan, Y., Aschwanden, M. J., Wang, S. and Deng, Y.: 2001a, Sol. Phys. 204, 15.
Yan, Y., Deng, Y., Karlický, M., Fu, Q., Wang, S. and Liu, Y.: 2001b, Astrophys. J. 551, L115.
Yan, Y. and Huang, G.: 2002, Space Sci. Rev., this issue.
Yan, Y., Liu, Y., Akioka, M. and Wei, F.: 2001c, Sol. Phys. 201, 337.
Yan, Y. and Sakurai, T.: 1997, Sol. Phys. 174, 65.
Yan, Y. and Sakurai, T.: 2000, Sol. Phys. 195, 89.
Yan, Y., Yu, Q. and Kang, F.: 1991, Sol. Phys. 136, 195.
Yan, Y., Yu, Q. and Shi, H.: 1993, in J. H. Kane, G. Maier, N. Tosaka and S. N. Atluri (eds), Advances in Boundary Element Techniques, Springer-Verlag, Berlon, p. 447.
Zhang, C., Wang, H. N., Wang, J. and Yan, Y.: 2000, Sol. Phys. 195, 135.
Zhang, H. Q.: 1994, Sol. Phys. 154, 207.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Yan, Y. (2003). On the Application of the Boundary Element Method in Coronal Magnetic Field Reconstruction. In: Chian, A.CL., et al. Advances in Space Environment Research. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-1069-6_14
Download citation
DOI: https://doi.org/10.1007/978-94-007-1069-6_14
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-3781-5
Online ISBN: 978-94-007-1069-6
eBook Packages: Springer Book Archive