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On the Averaging of the Absorption Coefficient in Thermal Radiation Transfer Problems.

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Title: On the Averaging of the Absorption Coefficient in Thermal Radiation Transfer Problems.
Authors: Netsvetaev, D. S.1 (AUTHOR), Startsev, A. N.1 (AUTHOR), Shestakov, A. A.1 (AUTHOR) a.a.shestakov2012@yandex.ru
Source: Computational Mathematics & Mathematical Physics. Feb2026, Vol. 66 Issue 2, p344-352. 9p.
Subjects: Absorption coefficients, Shock waves, Numerical analysis, Arithmetic mean, Spectrum analysis, Heat radiation & absorption, Opacity (Optics), Multilayers
Abstract: The article examines methods for calculating averaged absorption coefficients when numerically solving thermal radiation transfer problems with abrupt changes in optical thickness. Comparative calculations are provided for a test problem modeling the compression of a spherical layered system by shock waves. This problem is quite complex for calculating averaged absorption coefficients, since the optical thickness varies over a very wide range during shock compression. Different methods for averaging absorption coefficients are compared. Analysis of the methods for calculating averaged coefficients is facilitated by the fact that, for this problem, consistent averaged ranges have been analytically obtained, allowing spectral calculations to be performed in a single-group approximation. [ABSTRACT FROM AUTHOR]
Copyright of Computational Mathematics & Mathematical Physics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 192480079
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Data: On the Averaging of the Absorption Coefficient in Thermal Radiation Transfer Problems.
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  Data: <searchLink fieldCode="JN" term="%22Computational+Mathematics+%26+Mathematical+Physics%22">Computational Mathematics & Mathematical Physics</searchLink>. Feb2026, Vol. 66 Issue 2, p344-352. 9p.
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  Data: <searchLink fieldCode="DE" term="%22Absorption+coefficients%22">Absorption coefficients</searchLink><br /><searchLink fieldCode="DE" term="%22Shock+waves%22">Shock waves</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+analysis%22">Numerical analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Arithmetic+mean%22">Arithmetic mean</searchLink><br /><searchLink fieldCode="DE" term="%22Spectrum+analysis%22">Spectrum analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Heat+radiation+%26+absorption%22">Heat radiation & absorption</searchLink><br /><searchLink fieldCode="DE" term="%22Opacity+%28Optics%29%22">Opacity (Optics)</searchLink><br /><searchLink fieldCode="DE" term="%22Multilayers%22">Multilayers</searchLink>
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  Data: The article examines methods for calculating averaged absorption coefficients when numerically solving thermal radiation transfer problems with abrupt changes in optical thickness. Comparative calculations are provided for a test problem modeling the compression of a spherical layered system by shock waves. This problem is quite complex for calculating averaged absorption coefficients, since the optical thickness varies over a very wide range during shock compression. Different methods for averaging absorption coefficients are compared. Analysis of the methods for calculating averaged coefficients is facilitated by the fact that, for this problem, consistent averaged ranges have been analytically obtained, allowing spectral calculations to be performed in a single-group approximation. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Computational Mathematics & Mathematical Physics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Type: doi
        Value: 10.1134/S0965542525701842
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      – Code: eng
        Text: English
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        PageCount: 9
        StartPage: 344
    Subjects:
      – SubjectFull: Absorption coefficients
        Type: general
      – SubjectFull: Shock waves
        Type: general
      – SubjectFull: Numerical analysis
        Type: general
      – SubjectFull: Arithmetic mean
        Type: general
      – SubjectFull: Spectrum analysis
        Type: general
      – SubjectFull: Heat radiation & absorption
        Type: general
      – SubjectFull: Opacity (Optics)
        Type: general
      – SubjectFull: Multilayers
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      – TitleFull: On the Averaging of the Absorption Coefficient in Thermal Radiation Transfer Problems.
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              M: 02
              Text: Feb2026
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              Y: 2026
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