A new approach to multi-level non-LTE radiative transfer problems

Statistics – Computation

Scientific paper

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Nonequilibrium Thermodynamics, Radiative Transfer, Statistical Analysis, Stellar Atmospheres, Error Analysis, Fortran, Linearization, Transfer Functions

Scientific paper

A new approach to the numerical solution of multilevel, non-LTE problems is described. The standard non-LTE multilevel problem is formulated, and the statistical equilibrium equations and the radiative transfer equation are linearized. It is shown how to precondition the statistical equilibrium equations and the radiative transfer equation in a way which enables the solution of problems with strong numerical cancellation which arise from 'passive' scatterings at large optical depth. Simplifications in the numerical representation of radiative transfer processes are introduced which lead to rapid methods for setting up and solving the statistical equilibrium equations. Some calculations which have been made to test the convergence properties of the present scheme are described, and some generalizations of the present methods are briefly outlined.

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