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 The hole-filling method and multiscale algorithm for the heat transfer performance of periodic porous materials Yang, Zhiqiang1; Sun, Yi1; Cui, Junzhi2; Yang, Zihao3 2017-02-01 Source Publication JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS ISSN 0377-0427 Volume 311Pages:583-598 Abstract In this paper, we consider the transient heat transfer problem with rapidly oscillating coefficients in periodic porous materials. The hole-filling method through filling all holes with a very compliant material is investigated, and as the thermal conductivity parameters of the weak phase go to zero, the proof of the limiting process is derived in detail. Then, the multi scale analysis and computations based on the hole-filling method for the associated multi-phase problem in a domain without holes are proposed. Finally, some numerical results are given, which show a good agreement and verify the feasibility of the hole-filling method. (C) 2016 Published by Elsevier B.V. Keyword Multiscale analysis Transient heat transfer problem Periodic porous materials The hole-filling method DOI 10.1016/j.cam.2016.08.017 Language 英语 Funding Project Special Funds for National Basic Research Program of China (973 Program)[2010CB832702] ; National Natural Science Foundation of China[90916027] ; China Postdoctoral Science Foundation[2015M580256] ; China Postdoctoral Science Foundation[2016T90276] WOS Research Area Mathematics WOS Subject Mathematics, Applied WOS ID WOS:000386403000045 Publisher ELSEVIER SCIENCE BV Citation statistics Document Type 期刊论文 Identifier http://ir.amss.ac.cn/handle/2S8OKBNM/23854 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.Northwestern Polytech Univ, Sch Sci, Dept Appl Math, Xian 710129, Peoples R China Recommended CitationGB/T 7714 Yang, Zhiqiang,Sun, Yi,Cui, Junzhi,et al. The hole-filling method and multiscale algorithm for the heat transfer performance of periodic porous materials[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2017,311:583-598. APA Yang, Zhiqiang,Sun, Yi,Cui, Junzhi,&Yang, Zihao.(2017).The hole-filling method and multiscale algorithm for the heat transfer performance of periodic porous materials.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,311,583-598. MLA Yang, Zhiqiang,et al."The hole-filling method and multiscale algorithm for the heat transfer performance of periodic porous materials".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 311(2017):583-598.
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