Astronomy and Astrophysics – Astrophysics
Scientific paper
Nov 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990a%26a...239..227s&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 239, no. 1-2, Nov. 1990, p. 227-234. Research supported by Robert A. Welch Fou
Astronomy and Astrophysics
Astrophysics
5
Astrophysics, Line Spectra, Newton-Raphson Method, Nonequilibrium Thermodynamics, Radiative Transfer, Continuous Radiation, Perturbation Theory, Sobolev Space, Stellar Atmospheres
Scientific paper
A partial linearization technique for solving the coupled non-LTE rate equations and the radiative transfer equations in the Sobolev theory is outlined. The linearization is with respect to the local contributions to the radiation field, and the nonlocal field is treated as a perturbation in an overall Lambda-iteration. The method is useful for high flow velocity atmospheres whenever continuum opacity is negligible but radiative coupling between line transitions occurs through the Doppler shift. In addition to the general method, specialization to the case v proportional to r is discussed in detail. Applications are made to pure scattering problems and to the general atmosphere problem including collisional processes. It is shown that the method leads to rapid convergence in simple cases. Stability and convergence properties are discussed.
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