Multiscale computation for transient heat conduction problem with radiation boundary condition in porous materials | |
Yang, Zhiqiang1; Cui, Junzhi2![]() | |
刊名 | FINITE ELEMENTS IN ANALYSIS AND DESIGN
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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 |
DOI | 10.1016/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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