Physics
Scientific paper
Dec 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992a%26a...266..613k&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 266, no. 1, p. 613-618.
Physics
6
Eddington Approximation, Neutrinos, Neutron Stars, Radiative Transfer, Supernovae, Numerical Integration, Stellar Atmospheres, Stellar Physics, Stellar Radiation
Scientific paper
We investigate the possibility to solve the coupled system of radiation energy equation and radiation momentum equation by using a nonlinear variable Eddington factor relation for closure (P-1 approximation to radiative transfer). We demonstrate that this set of equations has solutions which fulfill the fundamental physical requirements for approximations of radiative transfer. However, numerical integration fails and yields discontinuous results. We derive a stability criterion for the numerical evaluation of the equations. This criterion can be employed to construct new variable Eddington factors. The variable Eddington factor obtained by Levermore and Pomraning (1981) satisfies our condition marginally. With physically better justified closure conditions singularities develop. Our results are of immediate interest for neutrino transport in type-II supernovae and protoneutron stars, the discussions, however, are valid and should be of importance in a more general context, too.
Janka H.-Th.
Koerner A.
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