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Title: Mathematical and numerical analysis of radiative heat transfer in semi-transparent media (English)
Author: Han, Yao-Chuang
Author: Nie, Yu-Feng
Author: Yuan, Zhan-Bin
Language: English
Journal: Applications of Mathematics
ISSN: 0862-7940 (print)
ISSN: 1572-9109 (online)
Volume: 64
Issue: 1
Year: 2019
Pages: 75-100
Summary lang: English
Category: math
Summary: This paper is concerned with mathematical and numerical analysis of the system of radiative integral transfer equations. The existence and uniqueness of solution to the integral system is proved by establishing the boundedness of the radiative integral operators and proving the invertibility of the operator matrix associated with the system. A collocation-boundary element method is developed to discretize the differential-integral system. For the non-convex geometries, an element-subdivision algorithm is developed to handle the computation of the integrals containing the visibility factor. An efficient iterative algorithm is proposed to solve the nonlinear discrete system and its convergence is also established. Numerical experiment results are also presented to verify the effectiveness and accuracy of the proposed method and algorithm. (English)
Keyword: radiative heat transfer
Keyword: existence and uniqueness
Keyword: collocation-boundary element method
Keyword: shadow detection
Keyword: iterative nonlinear solver
MSC: 45K05
MSC: 47G10
MSC: 65M38
MSC: 65N38
MSC: 80A20
idZBL: Zbl 07031678
idMR: MR3913885
DOI: 10.21136/AM.2019.0276-17
Date available: 2019-02-08T10:03:58Z
Last updated: 2021-03-01
Stable URL:
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