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

doi:10.1016/j.amc.2015.05.048

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 计算数学与科学工程计算研究所

	A multiscale algorithm for radiative heat transfer equation with rapidly oscillating coefficients
	Huang, Jizu1,2 ; Cao, Liqun1 ; Yang, Chao 3
刊名	APPLIED MATHEMATICS AND COMPUTATION
	2015-09-01
卷号	266 页码:149-168
关键词	Radiation heat transfer equation Homogenization Multiscale asymptotic expansion Composite materials Porous media
ISSN号	0096-3003
DOI	10.1016/j.amc.2015.05.048
英文摘要	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.
资助项目	National Natural Science Foundation of China[91330202] ; National Natural Science Foundation of China[90916027] ; National Natural Science Foundation of China[61170075] ; National Basic Research Program of China (973 Program)[2010CB832702] ; Funds for Creative Research Group of China[11321061]
WOS研究方向	Mathematics
语种	英语
出版者	ELSEVIER SCIENCE INC
WOS记录号	WOS:000359300100014
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/20569]
专题	计算数学与科学工程计算研究所
通讯作者	Cao, Liqun
作者单位	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
推荐引用方式 GB/T 7714	Huang, Jizu,Cao, Liqun,Yang, Chao. A multiscale algorithm for radiative heat transfer equation with rapidly oscillating coefficients[J]. APPLIED MATHEMATICS AND COMPUTATION,2015,266:149-168.
APA	Huang, Jizu,Cao, Liqun,&Yang, Chao.(2015).A multiscale algorithm for radiative heat transfer equation with rapidly oscillating coefficients.APPLIED MATHEMATICS AND COMPUTATION,266,149-168.
MLA	Huang, Jizu,et al."A multiscale algorithm for radiative heat transfer equation with rapidly oscillating coefficients".APPLIED MATHEMATICS AND COMPUTATION 266(2015):149-168.