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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 PublicationJOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
ISSN0377-0427
Volume311Pages:583-598
AbstractIn 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.
KeywordMultiscale analysis Transient heat transfer problem Periodic porous materials The hole-filling method
DOI10.1016/j.cam.2016.08.017
Language英语
Funding ProjectSpecial 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 AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000386403000045
PublisherELSEVIER SCIENCE BV
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/23854
Collection计算数学与科学工程计算研究所
Corresponding AuthorYang, Zhiqiang
Affiliation1.Harbin Inst Technol, Dept Astronaut Sci & Mech, Harbin 150001, 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, Peoples R China
Recommended Citation
GB/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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