The hole-filling method and multiscale algorithm for the heat transfer performance of periodic porous materials

doi:10.1016/j.cam.2016.08.017

	The hole-filling method and multiscale algorithm for the heat transfer performance of periodic porous materials
	Yang, Zhiqiang 1; Sun, Yi 1; Cui, Junzhi2 ; Yang, Zihao 3
	2017-02-01
发表期刊	JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
ISSN	0377-0427
卷号	311 页码:583-598
摘要	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.
关键词	Multiscale analysis Transient heat transfer problem Periodic porous materials The hole-filling method
DOI	10.1016/j.cam.2016.08.017
语种	英语
资助项目	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研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000386403000045
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/23854
专题	计算数学与科学工程计算研究所
通讯作者	Yang, Zhiqiang
作者单位	1.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
推荐引用方式 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.