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Simulations of astrophysical dynamos

Published online by Cambridge University Press:  08 June 2011

Axel Brandenburg
Axel Brandenburg*
Affiliation:
NORDITA, AlbaNova University Center, Roslagstullsbacken 23, SE-10691 Stockholm, Sweden; Department of Astronomy, Stockholm University, SE 10691 Stockholm, Sweden
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Abstract

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Numerical aspects of dynamos in periodic domains are discussed. Modifications of the solutions by numerically motivated alterations of the equations are being reviewed using the examples of magnetic hyperdiffusion and artificial diffusion when advancing the magnetic field in its Euler potential representation. The importance of using integral kernel formulations in mean-field dynamo theory is emphasized in cases where the dynamo growth rate becomes comparable with the inverse turnover time. Finally, the significance of microscopic magnetic Prandtl number in controlling the conversion from kinetic to magnetic energy is highlighted.

Keywords

Sun: magnetic fields
Type
Contributed Papers
Information
Proceedings of the International Astronomical Union , Volume 6 , Symposium S274: Advances in Plasma Astrophysics , September 2010 , pp. 402 - 409
Copyright
Copyright © International Astronomical Union 2011

References

Blackman, E. G. & Field, G. B., MNRAS 2000, 318, 724CrossRefGoogle Scholar
Brandenburg, A., ApJ, 2001, 550, 824CrossRefGoogle Scholar
Brandenburg, A.Astron. Nachr., 2008, 329, 725CrossRefGoogle Scholar
Brandenburg, A.ApJ, 2009, 697, 1206CrossRefGoogle Scholar
Brandenburg, A.MNRAS, 2010, 401, 347CrossRefGoogle Scholar
Brandenburg, A.Astron. Nachr., 2011, 332, 51 (arXiv:1008.4226)CrossRefGoogle Scholar
Brandenburg, A. & Sarson, G. R.Phys. Rev. Lett., 2002, 88, 055003CrossRefGoogle Scholar
Brandenburg, A., Candelaresi, S., & Chatterjee, P.MNRAS 2009, 398, 1414CrossRefGoogle Scholar
Brandenburg, A., Dobler, W., & Subramanian, K.Astron. Nachr., 2002, 323, 993.0.CO;2-B>CrossRefGoogle Scholar
Candelaresi, S., Hubbard, A., Brandenburg, A., & Mitra, D. 2010 (arXiv:1010.6177)Google Scholar
Cowling, T. G.MNRAS, 1933, 94, 39CrossRefGoogle Scholar
Gilman, P. A.ApJS, 1983, 53, 243CrossRefGoogle Scholar
Glatzmaier, G. A.ApJ, 1985, 291, 300CrossRefGoogle Scholar
Herzenberg, A.Proc. Roy. Soc. Lond., 1958, 250A, 543Google Scholar
Haugen, N. E. L., Brandenburg, A., & Dobler, W.Phys. Rev. E, 2004, 70, 016308CrossRefGoogle Scholar
Hubbard, A. & Brandenburg, A.ApJ, 2009, 706, 712CrossRefGoogle Scholar
Käpylä, P. J. & Korpi, M. J. 2010 (arXiv:1004.2417)Google Scholar
Käpylä, P. J., Korpi, M. J., Brandenburg, A., et al. . Astron. Nachr., 2010, 331, 73CrossRefGoogle Scholar
Kazantsev, A. P.Sov. Phys. JETP, 1968, 26, 1031Google Scholar
Kleeorin, N., Moss, D., Rogachevskii, I., & Sokoloff, D.A&A, 2000, 361, L5Google Scholar
Larmor, J. 1919 Rep. Brit. Assoc. Adv. Sci. 159Google Scholar
Larmor, J.MNRAS, 1934, 94, 469CrossRefGoogle Scholar
Lesur, G. & Longaretti, P.-Y.A&A, 2007, 378, 1471Google Scholar
Meneguzzi, M., Frisch, U., & Pouquet, A.Phys. Rev. Lett., 1981, 47, 1060CrossRefGoogle Scholar
Moreno-Insertis, F.A&A, 1983, 122, 241Google Scholar
Moreno-Insertis, F.A&A, 1986, 166, 291Google Scholar
Parker, E. N.ApJ, 1955, 122, 293CrossRefGoogle Scholar
Parker, E. N.ApJ, 1982, 256, 302CrossRefGoogle Scholar
Parker, E. N.ApJ, 1969, 157, 1129CrossRefGoogle Scholar
Parker, E. N.ARA&A, 1970a, 8, 1Google Scholar
Parker, E. N.ApJ, 1970b, 160, 383CrossRefGoogle Scholar
Parker, E. N.ApJ, 1970c, 162, 665CrossRefGoogle Scholar
Parker, E. N.ApJ, 1971a, 163, 255CrossRefGoogle Scholar
Parker, E. N.ApJ, 1971b, 163, 279CrossRefGoogle Scholar
Parker, E. N.ApJ, 1971c, 164 491CrossRefGoogle Scholar
Parker, E. N.ApJ, 1971d 165, 139CrossRefGoogle Scholar
Parker, E. N.ApJ, 1971e 166, 295CrossRefGoogle Scholar
Parker, E. N.ApJ, 1971f 168, 239CrossRefGoogle Scholar
Price, D. J. & Bate, M. R.MNRAS, 2007, 377, 77CrossRefGoogle Scholar
Rogachevskii, I. & Kleeorin, N.Phys. Rev. E, 2003, 68, 036301CrossRefGoogle Scholar
Rosswog, S. & Price, D.MNRAS, 2007, 379, 915CrossRefGoogle Scholar
Ruzmaikin, A. A. 1981 Comments Astrophys., 9 85Google Scholar
Schrinner, M., Rädler, K.-H., Schmitt, D., et al. . Geophys. Astrophys. Fluid Dyn., 2007, 101, 81CrossRefGoogle Scholar
Shukurov, A., Sokoloff, D., Subramanian, K., & Brandenburg, A.A&A, 2006, 448, L33Google Scholar
Steenbeck, M. & Krause, F.Astron. Nachr., 1969a, 291, 49CrossRefGoogle Scholar
Steenbeck, M. & Krause, F.Astron. Nachr., 1969b, 291, 271CrossRefGoogle Scholar
Steenbeck, M., Krause, F., & Rädler, K.-H. 1966, Z. Naturforsch., 21a, 369CrossRefGoogle Scholar
Vainshtein, S. I. & Ruzmaikin, A. A. 1971, Astron. Zh., 48, 902Google Scholar
Vainshtein, S. I. & Ruzmaikin, A. A. 1972, Astron. Zh., 49, 449Google Scholar