On iterative solutions of the LTE model atmosphere problem.
Abstract
We discuss iterative methods for solving the coupled radiativetransfer and energybalance equations in the LTE model atmospheres problem including isotropic coherent scattering. We show that iterative solution (e.g. by SOR techniques) of the grand matrix encountered in such problems is vastly more efficient than a direct solution, and is easily vectorized. The final computational effort is linear in the number of depths and frequencies considered, and thus this approach opens the door for the computation of both static and dynamic lineblanketed models using large numbers of depthpoints and huge numbers of frequencies. The iterative methods discussed here can be applied to lineformation problems with complete redistribution and to certain classes of problems with partial redistribution (e.g. Compton scattering problems in the FokkerPlanck approximation).
 Publication:

Journal of Quantitative Spectroscopy and Radiative Transfer
 Pub Date:
 July 1982
 DOI:
 10.1016/00224073(82)900978
 Bibcode:
 1982JQSRT..28...53M
 Keywords:

 Atmospheric Models;
 Coherent Scattering;
 Iterative Solution;
 Radiative Transfer;
 Stellar Atmospheres;
 Thermodynamic Equilibrium;
 Atmospheric Composition;
 Atmospheric Temperature;
 Energy Budgets;
 Stellar Spectrophotometry;
 Astrophysics;
 Stellar Atmospheres:LTE Analyses