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Compressible Convection

Published online by Cambridge University Press:  15 February 2018

Eric Graham
Eric Graham*
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge, England

Extract

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Stellar convection zones often extend over several pressure scale heights and convective velocities can be comparable to the local sound speed. Neither laboratory convection experimentsnor analytic solution of the non-linear equations are feasible in such regimes. In order to gain insight into the details of stellar convection we are obliged to use numerical simulations. At the present time, even this approach cannot be applied to the parameter range typical of stellar interiors; however solutions can be obtained which extend over many scale heights and have non-negligible Mach numbers. Under these conditions it is necessary to employ the full compressible equations rather than the anelastic approximation (Gough [l]) or the Boussinesq approximation (Spiegel & Veronis [2]).

Type
IV. Numerical Solutions
Information
International Astronomical Union Colloquium , Volume 38: Problems of Stellar Convection , 1977 , pp. 151 - 155
Copyright
Copyright © 1976

References

1 Gough, D.O., The anelastic approximation for thermal convection, J. Atmospheric Sciences 2638 (1969) pp. 448–456 Google Scholar
2 Spiegel, E.A. & Veronis, G., On the Boussinesq approximation for a compressible fluid, Astrophys. J. 13138 (1960) pp.442–447 Google Scholar
3 Graham, E., Numerical simulation of two-dimensional compressible convection, J. Fluid Mech. 7038 (1975) pp. 689–703 Google Scholar
4 Spiegel, E.A., Convective instability in a compressible atmosphere I, Astrophys. J. 14138 (1965) pp. 1068–1090 Google Scholar
5 Gough, D.O., Moore, D.R., Spiegel, E.A. and Weiss, N.O. Convective instability in a compressible atmosphere II, Astrophys. J. 20638 (1976) pp. 536–542 Google Scholar
6 Graham, E. & Moore, D.R., The onset of compressible convection, To appearGoogle Scholar