Multiscale computational method for nonstationary integrated heat transfer problem in periodic porous materials

doi:10.1002/num.22003

	Multiscale computational method for nonstationary integrated heat transfer problem in periodic porous materials
	Yang, Zhiqiang 1; Cui, Junzhi2 ; Wang, Ziqiang 3; Zhang, Yang 4
	2016-03-01
发表期刊	NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
ISSN	0749-159X
卷号	32 期号:2 页码:510-530
摘要	This article discusses multiscale analysis and numerical algorithm for the nonstationary integrated heat transfer problem with rapidly oscillating coefficients. The multiscale asymptotic expansion of the solution for this kind of problems is presented first. Then, error estimates of the multiscale approximate solution are derived, and a numerical algorithm based on the multiscale method for temperature field is introduced. Finally, using some numerical models, we verify the validity and relevancy of the proposed algorithm. The numerical results show that the algorithm is effective to predict the heat transfer performance of porous materials, and support the convergence theorem reported in this article. (c) 2015 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 32: 510-530, 2016
关键词	multiscale asymptotic expansion error estimates periodic porous materials integrated heat transfer
DOI	10.1002/num.22003
语种	英语
资助项目	National Natural Science Foundation of China[90916027]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000369535400006
出版者	WILEY-BLACKWELL
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/21913
专题	计算数学与科学工程计算研究所
通讯作者	Yang, Zhiqiang
作者单位	1.Harbin Inst Technol, Dept Astronaut Sci & Mech, Harbin 150001, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China 3.Guizhou Minzu Univ, Coll Sci, Dept Math, Guiyang 550025, Peoples R China 4.Northwestern Polytech Univ, Dept Appl Math, Xian 710129, Peoples R China
推荐引用方式 GB/T 7714	Yang, Zhiqiang,Cui, Junzhi,Wang, Ziqiang,et al. Multiscale computational method for nonstationary integrated heat transfer problem in periodic porous materials[J]. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS,2016,32(2):510-530.
APA	Yang, Zhiqiang,Cui, Junzhi,Wang, Ziqiang,&Zhang, Yang.(2016).Multiscale computational method for nonstationary integrated heat transfer problem in periodic porous materials.NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS,32(2),510-530.
MLA	Yang, Zhiqiang,et al."Multiscale computational method for nonstationary integrated heat transfer problem in periodic porous materials".NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS 32.2(2016):510-530.