Multiscale computational method for transient heat conduction problems of periodic porous materials with diverse periodic configurations in different subdomains

doi:10.1016/j.apnum.2018.10.011

	Multiscale computational method for transient heat conduction problems of periodic porous materials with diverse periodic configurations in different subdomains
	Dong, Hao 1; Cui, Junzhi2 ; Nie, Yufeng 3; Yang, Zihao 3; Ma, Qiang 4; Cheng, Xiaohan 5
	2019-02-01
发表期刊	APPLIED NUMERICAL MATHEMATICS
ISSN	0168-9274
卷号	136 页码:215-234
摘要	In this paper, a novel multiscale computational method is presented for transient heat conduction problems of periodic porous materials with diverse periodic configurations in different subdomains. In these porous materials, heat transfer at microscale has an important impact on the macroscopic temperature field. Firstly, the second-order two scale (SOTS) solutions for these multiscale problems are successfully obtained based on asymptotic homogenization method. Then, the error analysis in the pointwise sense is given to illustrate the importance of developing SOTS solutions. Furthermore, the error estimate for the SOTS approximate solutions in the integral sense is presented. In addition, a SOTS numerical algorithm is proposed to effectively solve these problems based on finite element method (FEM) and finite difference method (FDM). Finally, some numerical examples are shown, which demonstrate the feasibility and effectiveness of the SOTS numerical algorithm we proposed. In this paper, a unified two-scale computational framework is established for transient heat conduction problems of periodic porous materials with diverse periodic configurations in different subdomains. (C) 2018 IMACS. Published by Elsevier B.V. All rights reserved.
关键词	Periodic porous materials Asymptotic homogenization method Diverse periodic configurations Error estimate SOTS numerical algorithm
DOI	10.1016/j.apnum.2018.10.011
语种	英语
资助项目	Fundamental Research Funds for the Central Universities[JB180703] ; National Natural Science Foundation of China[51739007] ; National Natural Science Foundation of China[11471262] ; National Natural Science Foundation of China[11501449] ; National Natural Science Foundation of China[11601037] ; National Basic Research Program of China[2012CB025904] ; State Scholarship Fund of China Scholarship Council[201606290191] ; National Natural Science Foundation of Shaanxi Province[2018JQ1027] ; Key Technology Research of FRP-Concrete Composite Structure and Center for high performance computing of Northwestern Polytechnical University
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000452941600012
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/31848
专题	计算数学与科学工程计算研究所
通讯作者	Dong, Hao
作者单位	1.Xidian Univ, Sch Math & Stat, Xian 710071, Shaanxi, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China 3.Northwestern Polytech Univ, Sch Sci, Dept Appl Math, Xian 710129, Shaanxi, Peoples R China 4.Sichuan Univ, Coll Math, Chengdu 610043, Sichuan, Peoples R China 5.Changan Univ, Sch Sci, Xian 710064, Shaanxi, Peoples R China
推荐引用方式 GB/T 7714	Dong, Hao,Cui, Junzhi,Nie, Yufeng,et al. Multiscale computational method for transient heat conduction problems of periodic porous materials with diverse periodic configurations in different subdomains[J]. APPLIED NUMERICAL MATHEMATICS,2019,136:215-234.
APA	Dong, Hao,Cui, Junzhi,Nie, Yufeng,Yang, Zihao,Ma, Qiang,&Cheng, Xiaohan.(2019).Multiscale computational method for transient heat conduction problems of periodic porous materials with diverse periodic configurations in different subdomains.APPLIED NUMERICAL MATHEMATICS,136,215-234.
MLA	Dong, Hao,et al."Multiscale computational method for transient heat conduction problems of periodic porous materials with diverse periodic configurations in different subdomains".APPLIED NUMERICAL MATHEMATICS 136(2019):215-234.