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Astron. Astrophys. 325, 203-211 (1997)

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Hyperbolicity and critical points in two-moment approximate radiative transfer

J.M. Smit 1, J.Cernohorsky 2 and C.P. Dullemond 3

1 Center for High Energy Astrophysics (CHEAF), Kruislaan 403, 1098 SJ, Amsterdam, The Netherlands
2 Deutsche Morgan Grenfell, Global FX Options, 6-8 Bishopsgate, EC2P 2AT, London, UK
3 Leiden Observatory, P.O. Box 9513, 2300 RA Leiden, The Netherlands

Received 23 December 1996 / Accepted 6 March 1997

Abstract

We present numerical calculations of spherically symmetric radiative transport using a two-moment (P-1) method with a two-dimensional non-linear closure on the Eddington factor. The stationary state solutions contain a critical point. We demonstrate that the two-moment equations with a non-linear closure are well behaved. The solutions are physically acceptable, regular and accurate.

Key words: radiative transfer – methods: numerical – stars: general – stars: supernovae: general

Send offprint requests to: J.M.Smit, tijn@astro.uva.nl

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© European Southern Observatory (ESO) 1997

Online publication: May 5, 1998

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