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2018 | OriginalPaper | Buchkapitel

23. Radiative Transfer Equation and Solutions

verfasst von : Junming M. Zhao, Linhua H. Liu

Erschienen in: Handbook of Thermal Science and Engineering

Verlag: Springer International Publishing

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Abstract

Radiative transfer equation (RTE) is the governing equation of radiation propagation in participating media, which plays a central role in the analysis of radiative transfer in gases, semitransparent liquids and solids, porous materials, and particulate media, and is important in many scientific and engineering disciplines. There are different forms of RTEs that are suitable for different applications, including the RTE under different coordinate systems, the transformed RTE having good numerical properties, the RTE for refractive media, etc. This chapter gives a comprehensive overview and introduction of the different forms of RTEs. Furthermore, several fundamental numerical methods for solving RTEs are introduced with the focus on the deterministic methods, such as the spherical harmonics method, discrete-ordinate method, finite volume method, and finite element method. The understanding of the numerical errors for solving the RTEs, including their origin and effects on numerical results, and the related accuracy improvement strategies are reviewed and discussed.

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Titel: Radiative Transfer Equation and Solutions
verfasst von: Junming M. Zhao
Linhua H. Liu
Verlag: Springer International Publishing
Buch: Handbook of Thermal Science and Engineering
Print ISBN: 978-3-319-26694-7

Electronic ISBN: 978-3-319-26695-4

Copyright-Jahr: 2018
DOI: https://doi.org/10.1007/978-3-319-26695-4_56

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