CSpace  > 计算数学与科学工程计算研究所
 Multiscale computational method for transient heat conduction problems of periodic porous materials with diverse periodic configurations in different subdomains Dong, Hao1; Cui, Junzhi2; Nie, Yufeng3; Yang, Zihao3; Ma, Qiang4; Cheng, Xiaohan5 2019-02-01 Source Publication APPLIED NUMERICAL MATHEMATICS ISSN 0168-9274 Volume 136Pages:215-234 Abstract 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. Keyword Periodic porous materials Asymptotic homogenization method Diverse periodic configurations Error estimate SOTS numerical algorithm DOI 10.1016/j.apnum.2018.10.011 Language 英语 Funding Project 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 Research Area Mathematics WOS Subject Mathematics, Applied WOS ID WOS:000452941600012 Publisher ELSEVIER SCIENCE BV Citation statistics Document Type 期刊论文 Identifier http://ir.amss.ac.cn/handle/2S8OKBNM/31848 Collection 计算数学与科学工程计算研究所 Corresponding Author Dong, Hao Affiliation 1.Xidian Univ, Sch Math & Stat, Xian 710071, Shaanxi, Peoples R China2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China3.Northwestern Polytech Univ, Sch Sci, Dept Appl Math, Xian 710129, Shaanxi, Peoples R China4.Sichuan Univ, Coll Math, Chengdu 610043, Sichuan, Peoples R China5.Changan Univ, Sch Sci, Xian 710064, Shaanxi, Peoples R China Recommended CitationGB/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.
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