Multiscale computation for transient heat conduction problem with radiation boundary condition in porous materials

doi:10.1016/j.finel.2015.04.005

	Multiscale computation for transient heat conduction problem with radiation boundary condition in porous materials
	Yang, Zhiqiang 1; Cui, Junzhi2 ; Sun, Yi 1; Ge, Jingran 1
	2015-09-15
发表期刊	FINITE ELEMENTS IN ANALYSIS AND DESIGN
ISSN	0168-874X
卷号	102-103 页码:7-18
摘要	This paper reports a multiscale asymptotic analysis and computation for predicting heat transfer performance of periodic porous materials with radiation boundary condition. In these porous materials thermal radiation effect at micro-scale have an important impact on the macroscopic temperature field, which is our particular interest in this study. The multiscale asymptotic expansions for computing temperature field of the problem are constructed, and associated explicit convergence rates are obtained on some regularity hypothesis. Finally, the corresponding finite element algorithms based on the multiscale method are brought forward and some numerical results are given in details. The numerical tests indicate that the developed method is feasible and valid for predicting the heat transfer performance of periodic porous materials, and support the approximate convergence results proposed in this paper. (C) 2015 Elsevier B.V. All rights reserved.
关键词	Multiscale asymptotic analysis Radiation boundary condition Periodic porous materials Transient heat transfer problem
DOI	10.1016/j.finel.2015.04.005
语种	英语
资助项目	National Basic Research Program of China (973 Program)[2010CB832702] ; National Natural Science Foundation of China[90916027] ; State Key Laboratory of Science and Engineering Computing
WOS研究方向	Mathematics ; Mechanics
WOS类目	Mathematics, Applied ; Mechanics
WOS记录号	WOS:000355840400002
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/19932
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
推荐引用方式 GB/T 7714	Yang, Zhiqiang,Cui, Junzhi,Sun, Yi,et al. Multiscale computation for transient heat conduction problem with radiation boundary condition in porous materials[J]. FINITE ELEMENTS IN ANALYSIS AND DESIGN,2015,102-103:7-18.
APA	Yang, Zhiqiang,Cui, Junzhi,Sun, Yi,&Ge, Jingran.(2015).Multiscale computation for transient heat conduction problem with radiation boundary condition in porous materials.FINITE ELEMENTS IN ANALYSIS AND DESIGN,102-103,7-18.
MLA	Yang, Zhiqiang,et al."Multiscale computation for transient heat conduction problem with radiation boundary condition in porous materials".FINITE ELEMENTS IN ANALYSIS AND DESIGN 102-103(2015):7-18.