Mathematics
Scientific paper
Mar 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989jqsrt..41..199k&link_type=abstract
Journal of Quantitative Spectroscopy and Radiative Transfer (ISSN 0022-4073), vol. 41, March 1989, p. 199-219.
Mathematics
20
Iterative Solution, Nonequilibrium Thermodynamics, Radiative Transfer, Atomic Energy Levels, Coupled Modes, Degrees Of Freedom, Relaxation Method (Mathematics)
Scientific paper
An approach for solving non-LTE radiative transfer problems is presented which uses iterative algorithms wherever possible. A general description of the approach is given, including the transfer methods for the two-dimensional case and a method of treating the atomic kinetics for a general multilevel atom. An iterative method is described for treating the frequency coupling implicit in line formation with either complete or partial frequency redistribution. This method, a double-splitting iteration, is a relaxation method. The procedure is combined with an Orthomin acceleration scheme that minimizes the difference in the approximation from one iteration to the next over products of linear polynomials. Numerical examples show that good convergence is obtained for the acceleration scheme over a wide range of line-formation parameters.
Castor John I.
Dykema Pieter G.
Greenbaum Anne
Klein Richard I.
Taylor Derek
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