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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2020, Volume 60, Number 5, Pages 853–863
DOI: https://doi.org/10.31857/S0044466920050154
(Mi zvmmf11080)
 

This article is cited in 1 scientific paper (total in 1 paper)

Analysis of the quasi-transfer approximation in problems with analytical solution

A. A. Shestakov

Russian Federal Nuclear Center – All-Russian Research Institute of Technical Physics, Snezhinsk, Chelyabinsk oblast, 456770 Russia
Citations (1)
References:
Abstract: The quasi-transfer approximation reduces the numerical solution of the kinetic equation to solving the diffusion equation through introducing correction factors. The transition to the diffusion equation simplifies the numerical solution of the kinetic equation and makes it possible to use monotonic schemes of the second order of accuracy in solving problems of radiative heat transfer. In this case, it is very important to know the behavior of the correction coefficients, because, for the correctness of the diffusion equation, it is necessary that the diffusion coefficient be positive. This can be verified most easily in problems having analytical solutions. The aim of this work is to study the quasi-transfer approximation in problems with an analytical solution and the behavior of correction coefficients in optically dense and transparent media.
Key words: radiative heat transfer, approximations of the transfer equation.
Received: 05.10.2019
Revised: 05.10.2019
Accepted: 14.01.2020
English version:
Computational Mathematics and Mathematical Physics, 2020, Volume 60, Issue 5, Pages 833–843
DOI: https://doi.org/10.1134/S0965542520050152
Bibliographic databases:
Document Type: Article
UDC: 517.958:536.2
Language: Russian
Citation: A. A. Shestakov, “Analysis of the quasi-transfer approximation in problems with analytical solution”, Zh. Vychisl. Mat. Mat. Fiz., 60:5 (2020), 853–863; Comput. Math. Math. Phys., 60:5 (2020), 833–843
Citation in format AMSBIB
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  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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