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Preprints of the Keldysh Institute of Applied Mathematics, 2023, 044, 26 pp.
DOI: https://doi.org/10.20948/prepr-2023-44
(Mi ipmp3172)
 

Stabilized grid-characteristic diagram for the system of transfer radiation equations

V. A. Gasilov, R. D. Moskalenko
References:
Abstract: Radiation transfer equations in the $P_{1^-}$ and diffusion approximations are modified by factors that correct the rate of radiation energy transfer. Numerical experiments have been carried out showing that such a correction can reduce the influence of nonphysical effects in calculations of radiant heat transfer in media with a nonuniform optical thickness. The improvement of the stability condition for explicit difference schemes for the corrected equations of the $P_{1}$ and diffusion models is substantiated theoretically and numerically. It is shown that in a difference grid it is permissible to take the steps in time and space in a less rigid relation than in an explicit scheme without regularization.
Keywords: radiation transfer, $P_{1}$-approximation, diffusion approximation, grid-characteristic method.
Document Type: Preprint
Language: Russian
Citation: V. A. Gasilov, R. D. Moskalenko, “Stabilized grid-characteristic diagram for the system of transfer radiation equations”, Keldysh Institute preprints, 2023, 044, 26 pp.
Citation in format AMSBIB
\Bibitem{GasMos23}
\by V.~A.~Gasilov, R.~D.~Moskalenko
\paper Stabilized grid-characteristic diagram for the system of transfer radiation equations
\jour Keldysh Institute preprints
\yr 2023
\papernumber 044
\totalpages 26
\mathnet{http://mi.mathnet.ru/ipmp3172}
\crossref{https://doi.org/10.20948/prepr-2023-44}
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    Препринты Института прикладной математики им. М. В. Келдыша РАН
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