Statistics – Computation
Scientific paper
Oct 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992apj...398..224h&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 398, no. 1, p. 224-233.
Statistics
Computation
24
Radiative Transfer, Relativity, Stellar Atmospheres, Stellar Envelopes, Stellar Evolution, Supernovae, Computational Astrophysics, Computerized Simulation, Novae, Photosphere, Stellar Luminosity, Stellar Temperature
Scientific paper
The equation of radiative equilibrium for rapidly expanding spherical shells including the special relativistic terms is discussed, and a temperature-correction procedure for the solution of this equation is given. The temperature-correction scheme combines a partial linearization approach with the approximate Lambda-operator iteration method. For some test problems, the temperature structures of atmospheres in radiative equilibrium in the Lagrangian frame are calculated. The effects of the velocity field on the temperature stratification and the luminosity are also discussed. We find that the temperature structure of a moving photosphere in radiative equilibrium in the Lagrangian frame differs significantly from that of a static photosphere and that, at least, all first-order terms, in particular the advection and aberration terms, have to be included consistently both in the radiative transfer and the energy equation in studies of supernovae atmospheres and other high-speed radiating flows.
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