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Matematicheskoe modelirovanie, 2019, Volume 31, Number 12, Pages 57–70
DOI: https://doi.org/10.1134/S0234087919120050
(Mi mm4139)
 

This article is cited in 2 scientific papers (total in 2 papers)

Classification of the calculation methods of diffuse radiation configuration factors

D. K. Vinokurov

JSC TsNIIMash
Full-text PDF (395 kB) Citations (2)
References:
Abstract: This article presents the results of generalizing the existing methods of determining the diffuse radiation configuration factors (CF) for radiation transfer calculation in the zone model of the system of bodies with the surfaces of complex form. Such problems arise while determining construction temperatures, surfaces illumination, constructing of realistic images and others in the different fields of science and technology: space, illumination engineering, building construction, power engineering, applied optics, computer graphics and so forth. The classification of the determining CF methods is proposed on the criterion of the sources of errors, which appear during calculations. Four classes of the methods are selected: exacts, special, numerical integration, and combined. The distribution of methods according to the classes is carried out. The base formulas and formulas for the numerical CF calculation are given. The derived classification allows users and developers of the computer programs of CF calculation to be oriented in the variety of methods and to select the most adequate of them for the solution of its own problem. In addition, it can be assumed as the basis of the construction of the generalized algorithm and program set of diffuse CF calculation for the broad variety of the tasks.
Keywords: mathematic methods, configuration factor, radiation heat transfer, illumination, computer graphics.
Received: 01.10.2018
Revised: 24.04.2019
Accepted: 01.07.2019
English version:
Mathematical Models and Computer Simulations, 2020, Volume 12, Issue 4, Pages 569–578
DOI: https://doi.org/10.1134/S2070048220040195
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: D. K. Vinokurov, “Classification of the calculation methods of diffuse radiation configuration factors”, Matem. Mod., 31:12 (2019), 57–70; Math. Models Comput. Simul., 12:4 (2020), 569–578
Citation in format AMSBIB
\Bibitem{Vin19}
\by D.~K.~Vinokurov
\paper Classification of the calculation methods of diffuse radiation configuration factors
\jour Matem. Mod.
\yr 2019
\vol 31
\issue 12
\pages 57--70
\mathnet{http://mi.mathnet.ru/mm4139}
\crossref{https://doi.org/10.1134/S0234087919120050}
\elib{https://elibrary.ru/item.asp?id=41298289}
\transl
\jour Math. Models Comput. Simul.
\yr 2020
\vol 12
\issue 4
\pages 569--578
\crossref{https://doi.org/10.1134/S2070048220040195}
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  • https://www.mathnet.ru/eng/mm4139
  • https://www.mathnet.ru/eng/mm/v31/i12/p57
  • This publication is cited in the following 2 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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    Abstract page:254
    Full-text PDF :111
    References:35
    First page:10
     
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