A multiscale algorithm for radiative heat transfer equation with rapidly oscillating coefficients

被引：6

作者：

Huang, Jizu ^{[1
,2
]}

Cao, Liqun ^{[1
]}

Yang, Chao ^{[3
]}

机构：

[1] Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China

[2] Chinese Acad Sci, Inst Software, Beijing 100190, Peoples R China

[3] Chinese Acad Sci, State Key Lab Comp Sci, Beijing 100190, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 266卷

基金：

中国国家自然科学基金;

关键词：

Radiation heat transfer equation; Homogenization; Multiscale asymptotic expansion; Composite materials; Porous media; PARABOLIC EQUATIONS; CONVERGENCE ACCELERATION; ASYMPTOTIC-EXPANSION; ELLIPTIC-EQUATIONS; HOMOGENIZATION; OPERATORS;

D O I：

10.1016/j.amc.2015.05.048

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper, as a continued work of Huang and Cao (2014), discusses the multiscale computation of the radiative heat transfer in composite materials or porous media. A novel multiscale asymptotic expansion is presented, and an explicit rate of convergence is derived. We develop a multiscale algorithm for solving this kind of problem. A fully implicit scheme is carefully studied and an iterative algorithm is given. The convergence of the iterative algorithm is proved by the fixed point method. Numerical results confirm the efficiency and accuracy of this approach and show that the novel multiscale asymptotic expansion is essential for the radiative-dominated cases. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：149 / 168

页数：20

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