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Integral Constraints on Convective Overshooting Two-Dimensional Numerical Studies

Published online by Cambridge University Press:  12 April 2016

Ian W. Roxburgh  and
John Simmons
Ian W. Roxburgh
Affiliation:
Astronomy Unit, Queen Mary and Westfield College, University of London, Mile End Rd., London El 4NS, UK
John Simmons
Affiliation:
Astronomy Unit, Queen Mary and Westfield College, University of London, Mile End Rd., London El 4NS, UK

Abstract

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The integral constraint on convective overshooting (Roxburgh 1976, 1978, 1989) is re-derived for for statistically stationary two-dimensional convection between stress-free horizontal boundaries maintained at constant temperatures, the vertical boundaries being periodic. We report on numerical simulations of such two-dimensional compressible convection in a fluid where the central regions are convectively unstable and the surrounding layers are stable. The results support the conclusion by Roxburgh (1989) that the contribution from the radiative flux is well approximated by the flux carried by the mean temperature gradient, but demonstrate that viscous dissipation is important, reducing the extent of overshooting.

Type
III. Input physics for stellar structure
Information
International Astronomical Union Colloquium , Volume 137: Inside the Stars , 1993 , pp. 290 - 292
Copyright
Copyright © Astronomical Society of the Pacific 1993

References

Baker, N H and Kuhfuβ, R., 1987. ‘On the Roxburgh Criterion for Convective Overshooting’, Astronomy and Astrophysics, 185, pp 117–123.Google Scholar
Roxburgh, I W, 1976, ‘The Internal Structure of the Sun and Solar Type Stars’, in Basic Mechanisms of Solar Activity, ed Bumba, V and Kleczeck, J, D Reidel, pp 451–456.Google Scholar
Roxburgh, I W, 1978, ‘Convection and Stellar Structure’, Astronomy and Astrophysics, 65, pp 281–285 Google Scholar
Roxburgh, I W, 1989, ‘Integral Constraints on Convective Overshooting’, Astronomy and Astrophysics, 211, pp 361–364 Google Scholar