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Matematicheskoe modelirovanie, 1996, Volume 8, Number 12, Pages 3–28 (Mi mm1646)  

This article is cited in 11 scientific papers (total in 11 papers)

Mathematical models and computer experiment

A nonlinear method for solving the problems of radiation transfer in medium

D. Yu. Anistratov, E. N. Aristova, V. Ya. Gol'din

Institute for Mathematical Modelling, Russian Academy of Sciences
Abstract: A nonlinear method is described for solving the time-dependent multigroup radiative transfer equation coupled with the energy balance equation. The method is based on the Quasi-Diffusion approach. The idea of this approach is to reduce problem dimension by averaging the equations over angular and energy variables. The functionals weakly depending on the solution of problem are introduced to close equivalently the resulting system of equations. The temperature is determined by solving the linearized energy balance and the efficient grey quasi-diffusion equations. The Frechet derivative of an averaged absorption cross-section with respect to temperature is used to improve the solution of the linearized equations. The one-dimensional geometries are considered. The numerical results are presented to show the efficiency of the proposed method.
Received: 06.07.1995
Bibliographic databases:
Language: Russian
Citation: D. Yu. Anistratov, E. N. Aristova, V. Ya. Gol'din, “A nonlinear method for solving the problems of radiation transfer in medium”, Mat. Model., 8:12 (1996), 3–28
Citation in format AMSBIB
\Bibitem{AniAriGol96}
\by D.~Yu.~Anistratov, E.~N.~Aristova, V.~Ya.~Gol'din
\paper A~nonlinear method for solving the problems of radiation transfer in medium
\jour Mat. Model.
\yr 1996
\vol 8
\issue 12
\pages 3--28
\mathnet{http://mi.mathnet.ru/mm1646}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1472407}
\zmath{https://zbmath.org/?q=an:0984.78503}
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  • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математическое моделирование
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