Computing nonlinear force free coronal magnetic fields

Nonlinear Processes in Geophysics

Volumn 10, Issue 4-5, 2003, Pages 313-322

  Wiegelmann, T ^a,b   Neukirch, T ^a  

^a UNIVERSITY OF ST ANDREWS   (United Kingdom)

^b MAX PLANCK INSTITUT FÜR SONNENSYSTEMFORSCHUNG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CORONA; SOLAR ACTIVITY;

EID: 0042830386     PISSN: 10235809     EISSN: None     Source Type: Journal    
DOI: 10.5194/npg-10-313-2003     Document Type: Article

References (33)

1. Alissandrakis, C. E.: On the computation of a constant-α force-free magnetic field, Astron. Astrophys., 100, 197-200, 1981.
2. Aly, J. J.: On the reconstruction of the nonlinear force-free coronal magnetic field from boundary data, Solar Phys., 120, 19-48, 1989.
3. Amari, T. and Luciani, J. F.: Helicity redistribution during relaxation of astrophysical plasmas, Phys. Rev. Lett., 84, 1196-1199, 2000.
4. Amari, T., Aly, J. J., Luciani. J. F., Boulmezaoud, T. Z., and Mikic, Z.: Reconstructing the solar coronal magnetic field as a force-free magnetic field, Solar Phys., 174, 129-149, 1997.
5. Amari, T., Boulmezaoud, T. Z., and Mikic, Z.: An iterative method for the reconstruction of the solar magnetic field. I. Method for regular solutions. Astron. Astrophys., 350, 1051-1059, 2000.
6. Chiu, Y. T. and Hilton, H. H.: Exact Green's function method of solar force-free magnetic-field computations with constant alpha. 1. Theory and basic test cases, Astrophys. J., 212, 873-885, 1977.
7. Chodura, R. and Schlüter, A.: A 3-D code for MHD equilibrium and stability, J. Comp. Phys., 41, 68-88, 1981.
8. Cuperman, S., Ofman, L., and Semel, M.: Determination of force-free magnetic fields above the photosphere using three-component boundary conditions: moderately nonlinear case. Astron. Astrophys., 230, 193-199, 1990.
9. Cuperman, S., Démoulin, P., and Semel, M.: Removal of singularities in the Cauchy problem for the extrapolation of solar force-free magnetic fields, Astron. Astrophys., 245, 285-288, 1991.
10. Démoulin, P., Cuperman, S., and Semel, M.: Determination of force-free magnetic fields above the photosphere using three-component boundary conditions. II. Analysis and minimization of scale-related growing modes and of computational induced singularities, Astron. Astrophys., 263, 351-360, 1992.
11. Démoulin, P., Hénoux, J. C., Mandrini, C. H., and Priest, E. R.: Can we extrapolate a magnetic field when its topology is complex?. Solar Phys., 174, 73-89, 1997.
12. Falconer, D. A., Moore, R. L., and Gary, G. A.: Correlation of the coronal mass ejection productivity of solar active regions with measures of their global nonpotentiality from vector magnetograms: Baseline results, Astrophys. J., 569, 1016-1025, 2002.
13. Gary, G. A.: Linear force-free magnetic fields for solar extrapolation and interpretation, Astrophys. J. Suppl., 69, 323-348, 1989.
14. Geiger, G. and Kanzow, C.: Numerische Verfahren zur Lösung unrestringierter Optimierungsaufgaben, Springer-Verlag, 1999.
15. Gary, G. A.: Plasma beta above a solar active region: Rethinking the paradigm, Solar Phys., 203, 71-86, 2001.
16. Hagyard, M. J.: The significance of vector magnetogram measurements, Memorie Soc. Astron. Ital., 61, 337-357, 1990.
17. Hagyard, M. J., Venkatakrishnan, P., and Smith Jr., J. B.: Nonpotential magnetic fields at sites of gamma-ray flares, Astrophys. J. Suppl., 73, 159-163, 1990.
18. Heyvaerts, J. and Priest, E. R.: Coronal heating by reconnection in DC current systems - A theory based on Taylor's hypothesis, Astron. Astrophys., 137, 63-78, 1984.
19. Low, B. C. and Lou, Y. Q.: Modeling solar force-free magnetic fields, Astrophys. J., 352, 343-352, 1990.
20. McClymont, A. N., Jiao, L., and Mikić, Z.: Problems and progress in computing three-dimensional coronal active region magnetic fields from boundary data, Solar Phys. 174, 191-218, 1997.
21. Petrie, G. J. D. and Neukirch, T: The Green's function method for a special class of linear three-dimensional magnetohydrostatic equilibria, Astron. Astrophys., 356, 735-746, 2000.
22. Roumeliotis, G.: The "stress-and-relax" method for reconstructing the coronal magnetic field from vector magnetograph data, Astrophys. J., 473, 1095-1103, 1996.
23. Schmidt, H. U.: On the observable effects of magnetic energy storag and release connected with solar flares, in: Physics of Solar Flares, (Ed.) Hess, W. N., NASA SP-50, 107-114, 1964.
24. Seehafer, N.: Determination of constant-α force-free solar magnetic fields from magnetograph data, Solar Phys., 58, 215-223, 1978.
25. Seehafer, N.: A comparison of different solar magnetic field extrapolation procedures, Solar Phys., 81, 69-80, 1982.
26. Semel, M.: Contribution à l'étude des champs magnétique dans les régions active solaires, Ann. Astrophys., 30, 513-551, 1967.
27. Semel, M.: Extrapolation functions for constant-α force-free fields - Green's method for the oblique boundary value, Astron. Astrophys., 198, 293-299, 1988.
28. Semel, M.: Boundary conditions and the extrapolation of magnetic fields, in: Three-dmeinsional Structure of Solar Active Regions, (Eds.) Alissandrakis, C. E. and Schmieder, B., ASP Conference Series 155, 423-440, 1998.
29. Taylor, J. B.: Relaxation of toroidal plasma and generation of reversed magnetic fields, Phys. Rev. Lett., 33, 1139-1141, 1974.
30. Wheatland, M. S., Sturrock, P. A., and Roumeliotis, G.: An optimization approach to reconstructing force-free fields, Astrophys. J., 540, 1150-1155, 2000.
31. Wiegelmann, T. and Neukirch, T.: Including stereoscopic information in the reconstruction of coronal magnetic fields, Solar Phys., 208, 233-251, 2002.
32. Wu, S. T., Sun, M. T., Chang, H. M., Hagyard, M. J., and Gary, G. A.: On the numerical computation of nonlinear force-free magnetic fields, Astrophys. J., 362, 698-708, 1990.
33. Yan, Y. and Sakurai, T.: New boundary integral equation representation for finite energy force-free magnetic fields in open space above the Sun, Solar Phys., 195, 89-109, 2000.