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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 PublicationAPPLIED NUMERICAL MATHEMATICS
ISSN0168-9274
Volume136Pages:215-234
AbstractIn 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.
KeywordPeriodic porous materials Asymptotic homogenization method Diverse periodic configurations Error estimate SOTS numerical algorithm
DOI10.1016/j.apnum.2018.10.011
Language英语
Funding ProjectFundamental 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 AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000452941600012
PublisherELSEVIER SCIENCE BV
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/31848
Collection计算数学与科学工程计算研究所
Affiliation1.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
Recommended Citation
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.
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