An accelerated lambda iteration method for multilevel radiative transfer. I - Non-overlapping lines with background continuum

Details An accelerated lambda iteration method for multilevel radiative transfer. I - Non-overlapping lines with background continuum An accelerated lambda iteration method for multilevel radiative transfer. I - Non-overlapping lines with background continuum

May 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991a%26a...245..171r&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 245, no. 1, May 1991, p. 171-181.

Statistics

Computation

237

Iterative Solution, Local Thermodynamic Equilibrium, Radiative Transfer, Stellar Atmospheres, Computational Astrophysics, Helium Atoms, Statistical Analysis

Scientific paper

A method is presented for solving multilevel transfer problems when nonoverlapping lines and background continuum are present and active continuum transfer is absent. An approximate lambda operator is employed to derive linear, 'preconditioned', statistical-equilibrium equations. A method is described for finding the diagonal elements of the 'true' numerical lambda operator, and therefore for obtaining the coefficients of the equations. Iterations of the preconditioned equations, in conjunction with the transfer equation's formal solution, are used to solve linear equations. Some multilevel problems are considered, including an eleven-level neutral helium atom. Diagonal and tridiagonal approximate lambda operators are utilized in the problems to examine the convergence properties of the method, and it is found to be effective for the line transfer problems.

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