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The confrontation of mean-field theories with numerical simulations

  • Part I Convection and turbulence as the basis of magnetic activity
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The Sun and Cool Stars: activity, magnetism, dynamos

Part of the book series: Lecture Notes in Physics ((LNP,volume 380))

Abstract

The investigation of magnetic phenomena on the Sun is confronted with the problem of turbulently moving electrically conducting media in rotating objects. One way of attacking this complicated problem, which was at first successful, was the development of mean-field magnetohydrodynamics, where the cooperative action of the small-scale turbulence was taken into account by certain average effects. The development of more and more powerful computers now offers possibilities of calculating the small-scale phenomena in a direct way. This paper is an attempt to compare these approaches, at least as far as there are comparable results.

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References

  • Biermann, L.: 1951, Z. Astrophys. 28, 304

    Google Scholar 

  • Brandenburg, A., Krause, F., Meinel, R., Moss, D., Tuominen, I.: 1989, Astron. Astrophys. 213, 411

    Google Scholar 

  • Brandenburg, A., Nordlund, Ã…. Pulkkinen, P., Stein, R.T., Tuominen, I.: 1990, Astron. Astrophys. 232, 277

    Google Scholar 

  • Chan, K.L., Sofia, S.: 1986, Astrophys. J. 307, 222

    Google Scholar 

  • Chan, K.L., Sofia, S., Wolff, C.L.: 1982, Astrophys. J. 263, 935

    Google Scholar 

  • Gilman, P.A.: 1972, Solar Phys. 27, 3

    Google Scholar 

  • Gilman, P.A.: 1983, Astrophys. J. Suppl. Ser. 53, 243

    Google Scholar 

  • Gilman, P.A., Miller, J.: 1981, Astrophys. J. Suppl. Ser. 46, 211

    Google Scholar 

  • Glatzmaier, G.A.: 1984, J. Comput. Phys. 55, 461

    Google Scholar 

  • Glatzmaier, G.A.: 1985a, Astrophys. J. 291, 300

    Google Scholar 

  • Glatzmaier, G.A.: 1985b, Geophys. Astrophys. Fluid Dyn. 31, 137

    Google Scholar 

  • Hurlburt, N.E., Toomre, J., Massaguer, J.M.: 1984, Astrophys. J. 282, 557

    Google Scholar 

  • Krause, F., Meinel, R.: 1988, Geophys. Astrophys. Fluid Dynamics 43, 95

    Google Scholar 

  • Krause, F., Rädler, K.-H.: 1980, Mean-Field Magnetohydrodynamics and Dynamo Theory, Akademie-Verlag Berlin, Pergamon Press, Oxford

    Google Scholar 

  • Moffatt, H.K.: 1978, Magnetic Field Generation in Electrically Conducting Fluids, Cambridge University Press

    Google Scholar 

  • Nordlund, Ã…., Stein, R.F.: 1989, in Solar and Stellar Granulation, eds. R. Rutten and G. Severino, Kluwer Acad. Publ.

    Google Scholar 

  • Parker, E.N.: 1955, Astrophys. J. 322, 293

    Google Scholar 

  • Rädler, K.-H.: 1980, Astron. Nachr. 301, 101

    Google Scholar 

  • Rädler, K.-H.: 1986, Astron. Nachr. 307, 89

    Google Scholar 

  • Roberts, P.H.: 1972, Phil. Trans. Roy. Soc. A 272, 663

    Google Scholar 

  • Roberts, P.H., Stix, M.: 1972, Astron. Astrophys. 18, 453

    Google Scholar 

  • Rüdiger, G.: 1989, Differential Rotation and Stellar Convection, Akademie Verlag Berlin, Gordon and Breach

    Google Scholar 

  • Steenbeck, M., Krause F.: 1969, Astron. Nachr. 291, 49

    Google Scholar 

  • Steenbeck, M., Kirko, I.M., Gailitis, A., Klawina, A.P., Krause, F., Laumanis, I.J., Lielausis, O.A.: 1968, Dokl. Akad. Nauk 180, 326

    Google Scholar 

  • Stein, R.F., Nordlund, Ã….: 1989, Astrophys. J. Letters 342, L95

    Google Scholar 

  • Yoshimura, H.: 1975a, Astrophys. J. 201, 740

    Google Scholar 

  • Yoshimura, H.: 1975b, Astrophys. J. Suppl. Series 294, 467

    Google Scholar 

  • Zeldovich, Ya.B., Ruzmaikin, A.A., Sokoloff, D.D.: 1983, Magnetic Fields in Astrophysics, Gordon and Breach

    Google Scholar 

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I. Tuominen D. Moss G. Rüdiger

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© 1991 Springer-Verlag

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Krause, F. (1991). The confrontation of mean-field theories with numerical simulations. In: Tuominen, I., Moss, D., Rüdiger, G. (eds) The Sun and Cool Stars: activity, magnetism, dynamos. Lecture Notes in Physics, vol 380. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-53955-7_98

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  • DOI: https://doi.org/10.1007/3-540-53955-7_98

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  • Print ISBN: 978-3-540-53955-1

  • Online ISBN: 978-3-540-46483-9

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