An implicit integral method to solve selected radiative transfer problems. 2: LTE stellar atmosphere models

Details An implicit integral method to solve selected radiative transfer problems. 2: LTE stellar atmosphere models An implicit integral method to solve selected radiative transfer problems. 2: LTE stellar atmosphere models

Jul 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994apj...429..331c&link_type=abstract

The Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 429, no. 1, p. 331-339

Statistics

Computation

15

Astronomical Models, Local Thermodynamic Equilibrium, Radiative Transfer, Stellar Atmospheres, Black Body Radiation, Integral Equations, Iterative Solution, Temperature Distribution

Scientific paper

The implicit intergral method that we have already introduced in a previous paper, together with its application to the non-Local Thermal Equilibrium (non-LTE) line formation problem, is considered here for another paradigm problem, namely, the self-consistent temperature correction when computing Local Thermal Equilibrium (LTE) stellar atmosphere models. The specific form of the source function, required by the algorithm, is obtained through a linear expansion of the Planck function around a trial temperature distribution. The correct solution is quickly obtained via an iterative correction procedure. The nonmatricial structure, which is the distinctive feature of the implicit intergral method, offers the possibility to take into account a very large number of frequency, angle, and depth discrete points, without any penalty in terms of numerical or computational problems.

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