Abstract
A boundary integral equation to describe a force-free magnetic field with finite energy content in the open space above the solar surface is found. This is a new representation for a 3-D nonlinear force-free field in terms of the boundary field and its normal gradient at the boundary. Therefore the magnetic field observed on the solar surface can be incorporated into the formulation directly and a standard numerical technique, the boundary element method, can be applied to solve the field. A numerical test case demonstrates the power of the method by recovering the analytical solution to the desired accuracy and its application to practical solar magnetic field problems is straightforward and promising.
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References
Aly, J. J.; 1987, in R. Beck and R. Gräve (eds.), Interstellar Magnetic Fields, Springer-Verlag, Berlin, p. 240.
Aly, J. J.: 1989, Solar Phys. 120, 19.
Arfken, G.: 1966, Mathematical Methods for Physicists, Academic Press, New York.
Brebbia, C. A., Telles, J. C. F., and Wrobel, L. C.: 1984, Boundary Element Techniques, Springer-Verlag, Berlin.
Chandrasekhar, S.: 1961, Hydmdynamic and Hydromagnetic Stability, Oxford University Press, London.
Courant, R. and Hilbert, D.: 1962, Methods of Mathematical Physics, Vol. II, Interscience Publishers, New York.
Harrington, R. F.: 1961, Time-Harmonic Electromagnetic Fields, McGraw-Hill, New York.
Hu, W.: 1987, Cosmical Magnetohydrodynamics, Science Press, Beijing (in Chinese).
Klimchuk, J. A. and Sturrock, P. A.: 1992, Astrophys. J. 3S5, 344.
Krall, K. R., Smith, J. B., Jr., Hagyard, M. J., West, E. A., and Cumings, N. O.: 1982, Solar Phys. 79, 59.
Low, B. C: 1982, Solar Phys. 77, 43.
Low, B. C. and Lou, Y. Q.: 1990, Astrophys. J. 352, 343.
McClymont, A. N., Jiao, L., and MiMć, Z.: 1997, Solar Phys. 174, 191.
Metcalf, T. R., Jiao, L., McClymont, A. N., Canfield, R. C., and Uitenbroek, H.: 1995, Astrophys. J. 439, 474.
Mikić, Z. and McClymont, A. N.: 1994, in K. S. Balasubramaniam and G. Simon (eds.), Solar Active Region Evolution: Comparing Models with Observations, A.S.R Conf. Proa, San Francisco, p. 225.
Roumeliotis, G.: 1996, Astrophys. J. 473, 1095.
Sakurai, T.: 1981, Solar Phys. 69, 343.
Sakurai, T.: 1989, Space Sci. Rev. 51, 11.
Schmahl, E. J., Kundu, M. R., Strong, K. T., Bentley, R. D., Smith, J. B., Jr., and Krall, K. R.: 1982, Solar Phys. 80, 233.
Stratton, J. A.: 1941, Electromagnetic Theory, McGraw-Hill, New York.
Wang, H. N., Yan, Y., and Sakurai T.: 2000, Solar Phys. submitted.
Wu, S. T., Sun, M. T., Chang, H. M., Hagyard, M. J., and Gary, G. A.; 1990, Astrophys. J. 362, 698.
Yan, Y. and Sakurai T.; 1997, Solar Phys. 174, 65.
Yan, Y, Yu, Q., and Shi, H.; 1993, in H. Kane, G. Maier, N. Tosaka and S. N. Atluri (eds.), Advances in Boundary Element Techniques, Springer-Verlag, Berlin, p. 447.
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Yan, Y., Sakurai, T. (2001). New Boundary Integral Equation Representation for Finite Energy Force-Free Magnetic Fields in Open Space above the Sun. In: Engvold, O., Harvey, J.W. (eds) Physics of the Solar Corona and Transition Region. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0860-0_19
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DOI: https://doi.org/10.1007/978-94-010-0860-0_19
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