Multiscale computation for transient heat conduction problem with radiation boundary condition in porous materials
Yang, Zhiqiang1; Cui, Junzhi2; Sun, Yi1; Ge, Jingran1
刊名FINITE ELEMENTS IN ANALYSIS AND DESIGN
2015-09-15
卷号102-103页码:7-18
关键词Multiscale asymptotic analysis Radiation boundary condition Periodic porous materials Transient heat transfer problem
ISSN号0168-874X
DOI10.1016/j.finel.2015.04.005
英文摘要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.
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
语种英语
出版者ELSEVIER SCIENCE BV
WOS记录号WOS:000355840400002
内容类型期刊论文
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/19931]  
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.
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