Hostname: page-component-78c5997874-v9fdk Total loading time: 0 Render date: 2024-11-06T06:25:23.541Z Has data issue: false hasContentIssue false
  • English
  • Français

Simulating the Solar Dynamo

Published online by Cambridge University Press:  19 July 2016

Axel Brandenburg
Axel Brandenburg*
Affiliation:
HAO/NCAR ∗ P.O. Box 3000, Boulder, CO 80307, USA

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Mean-field and direct simulations of the hydrodynamics and hydromagnetics of the solar convection zone are discussed with the ultimate aim to understand the generation of differential rotation and magnetic fields. Various arguments constraining the values of the various turbulent diffusion coefficients are presented. It is suggested that the turbulent magnetic diffusivity is much smaller than the eddy viscosity which, in turn, is by up to a factor of ten smaller than the eddy conductivity. The magnetic field obtained from direct simulations is highly intermittent, and there is no clear systematic orientation of bipolar regions emerging from the convection zone. Various mechanisms that might cause such a field orientation are considered. Finally, the application of direct simulations to the determination of mean-field transport coefficients is emphasised.

Keywords

Solar dynamomean-field dynamodirect simulation
Type
3. Numerical Simulations of Convection and Dynamo Processes
Information
Symposium - International Astronomical Union , Volume 157: The Cosmic Dynamo , 1993 , pp. 111 - 121
Copyright
Copyright © Kluwer 1993 

References

Brandenburg, A., Nordlund, Å., Pulkkinen, P., Stein, R.F., Tuominen, I.: 1990, Astron. Astrophys. 232, 277 Google Scholar
Brandenburg, A., Moss, D., Tuominen, I.: 1992a, in The Solar Cycle, ed(s)., K. L. Harvey, ASP Conference Series, vol. 27, 536 Google Scholar
Brandenburg, A., Moss, D., Tuominen, I.: 1992b, Astron. Astrophys. 265, 328 Google Scholar
Brandenburg, A., Krause, F., Nordlund, Å., Ruzmaikin, A. A., Stein, R.F., Tuominen, I.: 1993, Astrophys. J. (submitted) Google Scholar
Brown, T. M., Morrow, C. A.: 1987, Astrophys. J. 314, L21 CrossRefGoogle Scholar
Childress, S.: 1979, Phys. Earth Planet. Int. 20, 172 Google Scholar
Choudhuri, A. R.: 1990, Astrophys. J. 355, 733 CrossRefGoogle Scholar
Durney, B. R., Spruit, H. C.: 1979, Astrophys. J. 234, 1067 CrossRefGoogle Scholar
Durney, B. R.: 1987, in The internal solar angular velocity, ed(s)., Durney, B. R. & Sofia, S., Reidel, Dordrecht, 235 CrossRefGoogle Scholar
Ferrière, K.: 1993, Astrophys. J. 404, 162 CrossRefGoogle Scholar
Gilman, P. A.: 1983, Astrophys. J. Suppl. 53, 243 CrossRefGoogle Scholar
Gilman, P. A.: 1986, in Physics of the Sun. Vol. I: The solar interior, ed(s)., Sturrock, P. A., Reidel, Dordrecht, 95 Google Scholar
Gilman, P. A.: 1992, in The Solar Cycle, ed(s)., Harvey, K. L., ASP Conference Series, vol. 27, 241 Google Scholar
Gilman, P. A., Miller, J.: 1981, Astrophys. J. Suppl. 46, 211 Google Scholar
Gough, D.O., Kosovichev, A.G., Sekii, T., Libbrecht, K.G., Woodard, M.F.: 1992, The form of the angular velocity in the solar convection zone (preprint) Google Scholar
Glatzmaier, G. A.: 1985a, Astrophys. J. 291, 300 CrossRefGoogle Scholar
Glatzmaier, G. A.: 1985b, Geophys. Astrophys. Fluid Dyn. 31, 137 Google Scholar
Glatzmaier, G. A., Gilman, P. A.: 1982, Astrophys. J. 256, 316 Google Scholar
Hewitt, J. M., McKenzie, D. P., Weiss, N. O.: 1975, J. Fluid Mech. 68, 721 CrossRefGoogle Scholar
Kichatinov, L. L.: 1991, Astron. Astrophys. 243, 483 Google Scholar
Kleeorin, N. I., Rogachevskii, I. V., Ruzmaikin, A. A.: 1990, Sov. Phys. JETP 70, 878 Google Scholar
Krause, F., Rädler, K.-H.: 1980, Mean-Field Magnetohydrodynamics and Dynamo Theory , Akademie-Verlag, Berlin Google Scholar
Libbrecht, K. G.: 1988, in Proc. Symp. Seismology of the Sun and Sun-like Stars, ed(s)., Rolfe, E. J., ESA SP-286, 131 Google Scholar
Meneguzzi, M., Pouquet, A.: 1989, J. Fluid Mech. 205, 297 Google Scholar
Nordlund, Å.: 1985, Solar Phys. 100, 209 CrossRefGoogle Scholar
Nordlund, Å., Brandenburg, A., Jennings, R. L., Rieutord, M., Ruokolainen, J., Stein, R. F., Tuominen, I.: 1992, Astrophys. J. 392, 647 Google Scholar
Parker, E. N.: 1993, Astrophys. J. (submitted) Google Scholar
Perkins, F. W., Zweibel, E. G.: 1987, Phys. Fluids 30, 1079 CrossRefGoogle Scholar
Pulkkinen, P., Tuominen, I., Brandenburg, A., Nordlund, Å., Stein, R.F.: 1991, in The Sun and cool stars: activity, magnetism, dynamos, ed(s)., Tuominen, I., Moss, D. & Rüdiger, G., Lecture Notes in Physics 380, Springer-Verlag, 98 Google Scholar
Pulkkinen, P., Tuominen, I., Brandenburg, A., Nordlund, Å., Stein, R.F.: 1993, Astron. Astrophys. 267, 265 Google Scholar
Roberts, P. H., Stix, M.: 1972, Astron. Astrophys. 18, 453 Google Scholar
Rüdiger, G.: 1978, Astron. Nachr. 299, 217 Google Scholar
Rüdiger, G.: 1987, Acta Astron. 37, 223 Google Scholar
Rüdiger, G., Kichatinov, L. L.: 1993, Astron. Astrophys. (in press) Google Scholar
Rüdiger, G., Tuominen, I.: 1990, in Solar Photosphere: Structure, Convection and Magnetic Fields, ed(s)., Stenflo, J. O., Kluwer Acad. Publ., Dordrecht, 315 Google Scholar
Schmitt, D.: 1993 (these Proceedings) Google Scholar
Schüssler, M.: 1983, in Solar and stellar magnetic fields, ed(s)., Stenflo, J. O., Reidel, 213 Google Scholar
Schüssler, M.: 1987, in The internal solar angular velocity, ed(s)., Durney, B. R. & Sofia, S., Reidel, Dordrecht, 303 Google Scholar
Spruit, H. C.: 1977, Astron. Astrophys. 55, 151 Google Scholar
Steenbeck, M., Krause, F.: 1969, Astron. Nachr. 291, 49 CrossRefGoogle Scholar
Stein, R.F., Nordlund, Å.: 1989, Astrophys. J. 342, L95 Google Scholar
Tao, L., Cattaneo, F., Vainshtein, S. I.: 1993, in Theory of Solar and Planetary Dynamos, ed(s)., Matthews, P. C. & Rucklidge, A. M., Cambridge University Press, (in press) Google Scholar
Tuominen, I., Brandenburg, A., Moss, D., Rieutord, M.: 1993, Astron. Astrophys. (in prep.) Google Scholar
Vainshtein, S. I.: 1972, Sov. Phys. JETP 34, 327 Google Scholar
Vainshtein, S. I., Cattaneo, F.: 1992, Astrophys. J. 393, 165 Google Scholar