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Computer Research and Modeling, 2017, Volume 9, Issue 4, Pages 579–594
DOI: https://doi.org/10.20537/2076-7633-2017-9-4-579-594
(Mi crm84)
 

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

MODELS IN PHYSICS AND TECHNOLOGY

Calculation of radiation in shockwave layer of a space vehicle taking into account details of photon spectrum

E. N. Aristovaab, G. O. Astafurova, A. V. Shilkova

a Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Miusskaya sq., 4, Moscow, 125047, Russia
b Moscow Institute of Physics and Technology, Institutskii per., 9, Dolgoprydnyi, Moscow region, 141701, Russia
References:
Abstract: Calculations of radiation transport in the shockwave layer of a descent space vehicle cause essential difficulties due to complex multi-resonance dependence of the absorption macroscopic cross sections from the photon energy. The convergence of two approximate spectrum averaging methods to the results of exact pointwise spectrum calculations is investigated. The first one is the well known multigroup method, the second one is the Lebesgue averaging method belonging to methods of the reduction of calculation points by means of aggregation of spectral points which are characterized by equal absorption strength. It is shown that convergence of the Lebesgue averaging method is significantly faster than the multigroup approach as the number of groups is increased. The only 100–150 Lebesgue groups are required to achieve the accuracy of pointwise calculations even in the shock layer at upper atmosphere with sharp absorption lines. At the same time the number of calculations is reduced by more than four order. Series of calculations of the radiation distribution function in 2D shock layer around a sphere and a blunt cone were performed using the local flat layer approximation and the Lebesgue averaging method. It is shown that the shock wave radiation becomes more significant both in value of the energy flux incident on the body surface and in the rate of energy exchange with the gas-dynamic flow in the case of increasing of the vehicle's size.
Keywords: radiation energy transport, shockwave, multigroup approach, Lebesgue averaging method, “line-by-line” method, local plane layer approach.
Funding agency Grant number
Russian Science Foundation 14-11-00699
The work is done under financial support of Russian Science Foundation (project no. 14–11–00699).
Received: 26.01.2017
Revised: 23.06.2017
Accepted: 14.07.2017
Document Type: Article
UDC: 533.9, 519.63
Language: Russian
Citation: E. N. Aristova, G. O. Astafurov, A. V. Shilkov, “Calculation of radiation in shockwave layer of a space vehicle taking into account details of photon spectrum”, Computer Research and Modeling, 9:4 (2017), 579–594
Citation in format AMSBIB
\Bibitem{AriAstShi17}
\by E.~N.~Aristova, G.~O.~Astafurov, A.~V.~Shilkov
\paper Calculation of radiation in shockwave layer of a space vehicle taking into account details of photon spectrum
\jour Computer Research and Modeling
\yr 2017
\vol 9
\issue 4
\pages 579--594
\mathnet{http://mi.mathnet.ru/crm84}
\crossref{https://doi.org/10.20537/2076-7633-2017-9-4-579-594}
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  • https://www.mathnet.ru/eng/crm/v9/i4/p579
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Computer Research and Modeling
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    References:28
     
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