Numerical solution of the expanding stellar atmosphere problem.
Abstract
The authors discuss numerical methods and algorithms for the solution of NLTE stellar atmosphere problems involving expanding atmospheres, e.g., found in novae, supernovae and stellar winds. They show how a scheme of nested iterations can be used to reduce the high dimension of the problem to a number of problems with smaller dimensions. As examples of these subproblems, they discuss the numerical solution of the radiative transfer equation for relativistically expanding media with spherical symmetry, the solution of the multilevel nonLTE statistical equilibrium problem for extremely large model atoms, and their temperature correction procedure. Although modern iteration schemes are very efficient, parallel algorithms are essential in making largescale calculations feasible, therefore they discuss some parallelization schemes that they have developed.
 Publication:

Journal of Computational and Applied Mathematics
 Pub Date:
 September 1999
 DOI:
 10.48550/arXiv.astroph/9808182
 arXiv:
 arXiv:astroph/9808182
 Bibcode:
 1999JCoAM.109...41H
 Keywords:

 Stellar Atmospheres: Numerical Methods;
 Stellar Atmospheres: Radiative Transfer;
 Astrophysics
 EPrint:
 JCAM, in press. 28 pages, also available at ftp://calvin.physast.uga.edu:/pub/preprints/CompAstro.ps.gz