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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2024, Volume 519, Pages 7–13
DOI: https://doi.org/10.31857/S2686954324050024 (Mi danma557) 		 
MATHEMATICS

Stabilized scheme for calculating radiation transfer in the $P_1$ approximation

B. N. Chetverushkin, O. G. Olkhovskaya, V. A. Gasilov

Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Moscow, Russia
DOI: https://doi.org/10.31857/S2686954324050024
Abstract: We consider interpolation-characteristic scheme approximating approximation to the radiative transfer equations corresponding to the $P_1$ model. The explicit finite-difference scheme is corrected by special term adjusting the rate of radiation energy transfer. Such correction can reduce the influence of non-physical effects when calculating radiative heat transfer in a medium with non-uniform opacity.
Keywords: radiative heat transfer, $P_1$ approximation, interpolation-characteristic method.
Funding agency Grant number
Moscow Center of Fundamental and Applied Mathematics 075-15-2022-283
This work was supported by the Moscow Center for Fundamental and Applied Mathematics, agreement no. 075-15-2022-283 with the Ministry of Science and Higher Education of the Russian Federation.
Received: 28.06.2024
Revised: 24.07.2024
Accepted: 23.08.2024
English version:
Doklady Mathematics, 2024, Volume 110, Issue 2, Pages 393–398
DOI: https://doi.org/10.1134/S1064562424601495
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
Citation: B. N. Chetverushkin, O. G. Olkhovskaya, V. A. Gasilov, “Stabilized scheme for calculating radiation transfer in the $P_1$ approximation”, Dokl. RAN. Math. Inf. Proc. Upr., 519 (2024), 7–13; Dokl. Math., 110:2 (2024), 393–398
Citation in format AMSBIB
\Bibitem{CheOlkGas24}
\by B.~N.~Chetverushkin, O.~G.~Olkhovskaya, V.~A.~Gasilov
\paper Stabilized scheme for calculating radiation transfer in the $P_1$ approximation
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2024
\vol 519
\pages 7--13
\mathnet{http://mi.mathnet.ru/danma557}
\crossref{https://doi.org/10.31857/S2686954324050024}
\elib{https://elibrary.ru/item.asp?id=75994108}
\transl
\jour Dokl. Math.
\yr 2024
\vol 110
\issue 2
\pages 393--398
\crossref{https://doi.org/10.1134/S1064562424601495}
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