Open AccessA forth-and-back implicit λ iteration in the solution of radiative transfer in spherical media
Author(s) -
O. AtanackovićVukmanović
Publication year - 2003
Publication title -
serbian astronomical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.196
H-Index - 16
eISSN - 1820-9289
pISSN - 1450-698X
DOI - 10.2298/saj0367027a
Subject(s) - radiative transfer , computation , circular symmetry , source function , plane (geometry) , function (biology) , scattering , monochromatic color , mathematical analysis , representation (politics) , physics , symmetry (geometry) , coupling (piping) , mathematics , classical mechanics , geometry , optics , algorithm , materials science , astrophysics , evolutionary biology , politics , law , political science , biology , metallurgy
Forth-and-back implicit Λ-iteration has been developed to solve radiative transfer (RT) problems with plane-parallel geometry in which there is a coupling of all RT equations by the scattering term included in the source function (Atanacković-Vukmanović, Crivellari and Simonneau 1997). Owing to the implicit representation of the source function in the computation of the mean intensities within a forth-and-back sequential treatment of the two intensities propagating in opposite directions, implicit Λ-iteration (ILI) appears to be a very efficient method in the solution of linear as well as non-linear transfer problems. In this paper ILI method is generalized and applied to radiative transfer problems with spherical symmetry. The results for the monochromatic radiative transfer in a spherical atmosphere are presented and compared to those of other authors obtained by the other methods
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