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Outstanding Theoretical Problems

Published online by Cambridge University Press:  08 February 2017

C.J. Durrant*
Affiliation:
Department of Applied Mathematics University of Sydney NSW 2006 Australia

Abstract

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The development of model atmospheres from the ‘classical’ static but deductive models to present-day dynamic but inductive models is sketched. The main problems facing theory are defined in terms of the need to produce a post-classical inductive model. Attention is focused on the most promising tool available today, the computers able to realize simulations of astrophysical systems. The direction of progress in the areas of radiative transfer, convective transport, waves and oscillations, and MHD is reviewed. It is concluded that the major outstanding radiative and hydrodynamic problems are likely to be elucidated in the foreseeable future, especially if there is a suitable commitment by the international community. However, the understanding of the behaviour of magnetic fields and their associated activity will require a longer, but no less urgent, programme.

Type
VIII. Future Directions
Copyright
Copyright © Kluwer 1990 

References

Adrian, R.J. (1977) Journal of Fluid Mechanics , 69, 753781.CrossRefGoogle Scholar
Carbon, D.F. (1979) Annual Review of Astronomy and Astrophysics , 17, 513549.CrossRefGoogle Scholar
Chan, K.L. and Sofia, S. (1986) Astrophysical Journal , 307, 222241.CrossRefGoogle Scholar
Clark, R.A., Ferziger, J.H. and Reynolds, W.C. (1979) Journal of Fluid Mechanics , 91, 116.CrossRefGoogle Scholar
Eidson, T.M. (1985) Journal of Fluid Mechanics , 158, 245268.CrossRefGoogle Scholar
Fernando, H.J.S. (1988) Journal of Fluid Mechanics , 190, 5570.CrossRefGoogle Scholar
Graham, E. (1977) In Spiegel, E.A. and Zahn, J.P. (eds.), Problems of Stellar Convection , Springer-Verlag, Berlin, pp. 151155.CrossRefGoogle Scholar
Grötzbach, G. (1982) Journal of Fluid Mechanics , 119, 2753.CrossRefGoogle Scholar
Hart, J.E., Glatzmeier, G.A. and Toomre, J. (1986) Journal of Fluid Mechanics , 173, 519544.CrossRefGoogle Scholar
Hunt, J.C.R. (1988) Journal of Fluid Mechanics , 190, 375392.CrossRefGoogle Scholar
Hurlburt, N.E., Toomre, J. and Massaguer, J.M. (1984) Astrophysical Journal , 282, 557573.CrossRefGoogle Scholar
Ionson, J.A. (1982) Astrophysical Journal , 254, 318334.CrossRefGoogle Scholar
Kalkofen, W. (ed.) (1987) Numerical Radiative Transfer , Cambridge University Press, Cambridge.Google Scholar
Karplus, W.J. (1977) Mathematics and Computers in Simulation , 19, 310.CrossRefGoogle Scholar
Kerr, R.M. (1985) Journal of Fluid Mechanics , 153, 3158.CrossRefGoogle Scholar
Kurucz, R. (1974) Astrophysical Journal Supplement , 40, 1340.CrossRefGoogle Scholar
Meneguzzi, M., Frisch, U. and Pouquet, A. (1981) Physical Review Letters , 47, 10601064.CrossRefGoogle Scholar
Nordlund, Å. (1982) Astronomy and Astrophysics , 107, 110.Google Scholar
Nordlund, Å. (1984) In Keil, S.L. (ed.), Small-Scale Dynamical Processes in Quiet Stellar Atmospheres , Sacramento Peak Observatory, Sunspot, pp. 181221.Google Scholar
Nordlund, Å. (1985a) In Schmidt, H.U. (ed.), Theoretical Problems in High Resolution Solar Physics , Max-Planck-Institut für Astrophysik, München, pp. 124 and pp. 101-119.Google Scholar
Nordlund, Å. (1985b) Solar Physics , 100, 209235.CrossRefGoogle Scholar
Rogallo, R.S. and Moin, P. (1984) Annual Review of Fluid Dynamics , 16, 99137.CrossRefGoogle Scholar
Shoub, E.C. (1977) Astrophysical Journal Supplement , 34, 259275.CrossRefGoogle Scholar
Steffen, M. (1987) In Schröter, E.-H., Vázquez, M. and Wyller, A.A. (eds.), The Role of Fine-Scale Magnetic Fields on the Structure of the Solar Atmosphere , Cambridge University Press, Cambridge, pp. 4752.Google Scholar
Thomas, R.N. (1983) Stellar Atmospheric Structural Patterns , NASA SP-471, CNRS and NASA, Paris and Washington.Google Scholar
Townsend, A.A. (1964) Quarterly Journal of the Royal Meteorological Society , 90, 248259.CrossRefGoogle Scholar
Truesdell, C. (1980) The Tragicomical History of Thermodynamics 1822–1854 , Springer-Verlag, New York.CrossRefGoogle Scholar
Tucker, G.B. (1988) In Global Change , Australian Academy of Science, Canberra, pp. 182191.Google Scholar
Yoshizawa, A. (1988a) Journal of Fluid Mechanics , 195, 541–55CrossRefGoogle Scholar
Yoshizawa, A. (1988b) Physics of Fluids , 30, 10891095.CrossRefGoogle Scholar