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 Multiscale computational method for nonstationary integrated heat transfer problem in periodic porous materials Yang, Zhiqiang1; Cui, Junzhi2; Wang, Ziqiang3; Zhang, Yang4 2016-03-01 Source Publication NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS ISSN 0749-159X Volume 32Issue:2Pages:510-530 Abstract 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 Keyword multiscale asymptotic expansion error estimates periodic porous materials integrated heat transfer DOI 10.1002/num.22003 Language 英语 Funding Project National Natural Science Foundation of China[90916027] WOS Research Area Mathematics WOS Subject Mathematics, Applied WOS ID WOS:000369535400006 Publisher WILEY-BLACKWELL Citation statistics Document Type 期刊论文 Identifier http://ir.amss.ac.cn/handle/2S8OKBNM/21913 Collection 计算数学与科学工程计算研究所 Corresponding Author Yang, Zhiqiang Affiliation 1.Harbin Inst Technol, Dept Astronaut Sci & Mech, Harbin 150001, Peoples R China2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China3.Guizhou Minzu Univ, Coll Sci, Dept Math, Guiyang 550025, Peoples R China4.Northwestern Polytech Univ, Dept Appl Math, Xian 710129, Peoples R China Recommended CitationGB/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.
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