RADIATIVE TRANSFER: ASYMPTOTIC SOLUTION OF THE KINETIC EQUATION OF RADIATION PROPAGATION, N-th ORDER ASYMPTOTIC APPROXIMATION AND IMPROVED BOUNDARY CONDITIONS
- 作者: Serov S.1, Serova S.2
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隶属关系:
- Institute of Theoretical and Mathematical Physics
- St. Petersburg State University
- 期: 卷 100, 编号 12 (2023)
- 页面: 1332-1342
- 栏目: Articles
- URL: https://journals.rcsi.science/0004-6299/article/view/233478
- DOI: https://doi.org/10.31857/S0004629923120095
- EDN: https://elibrary.ru/DEKMSZ
- ID: 233478
如何引用文章
详细
In the article, new asymptotic approximation of the \(n\)-th order is obtained and proposed to be used in calculations of radiation propagation in optically thick media without scattering; the asymptotic approximation is simpler and more precise than the known diffusion approximation. It is shown, that for optically thick media the asymptotic solution of the kinetic equation of radiation propagation without scattering is asymptotic expansion of the exact integral solution of that kinetic equation. The rigorous derivation of the diffusion approximation equation is obtained. Improved boundary conditions, which are essential for practical application in calculations of radiation propagation, are derived.
作者简介
S. Serov
Institute of Theoretical and Mathematical Physics
编辑信件的主要联系方式.
Email: S.A.Serov@inbox.ru
Russia, Sarov
S. Serova
St. Petersburg State University
Email: S.A.Serov@inbox.ru
Russia, St. Petersburg
参考
- Я. Б. Зельдович, Ю. П. Райзер, Физика ударных волн и высокотемпературных гидродинамических явлений (М.: Физматлит, 2008).
- Д. Михалас, Звездные атмосферы. Т. 1 (М.: Мир, 1982).
- T. A. Brunner, Forms of Approximate Radiation Transport, Sandia Report SAND2002-1778, (New Mexico; California: Sandia National Laboratories, 2002).
- Л. Шварц, Анализ, Т. 1 (М.: Мир, 1972).
- В. А. Амбарцумян, Э. Р. Мустель, А. Б. Северный, В. В. Соболев, Теоретическая астрофизика (М.: Гос. изд-во техн.-теорет. лит., 1952).
- S. Chandrasekhar, Radiative transfer (New York: Dover Publications Inc., 1960).
- D. Hilbert, Grundzüge einer Allgemeinen Theorie der Linearen Integralgleichungen (Leipzig and Berlin: Teubner, 1912).
- S. A. Serov and S. S. Serova, J. Appl. Mathematics and Physics 4, 1687 (2016).
- Y. B. Zel’dovich and Y. P. Raizer, Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena (Mineola, New York: Dover Publications Inc., 2012).
- S. Rosseland, in Selected Papers on the Transfer of Radiation, edited by D. H. Menzel (New York: Dover Publications Inc., 1965), p. 73.
- Н. Н. Пилюгин и Г. А. Тирский, Динамика ионизованного излучающего газа (М.: Изд-во МГУ, 1989).
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