KMS Of Academy of mathematics and systems sciences, CAS
| Multiscale computation for transient heat conduction problem with radiation boundary condition in porous materials | |
Yang, Zhiqiang1; Cui, Junzhi2 ; Sun, Yi1; Ge, Jingran1
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| 2015-09-15 | |
| Source Publication | FINITE ELEMENTS IN ANALYSIS AND DESIGN
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| ISSN | 0168-874X |
| Volume | 102-103Pages:7-18 |
| Abstract | 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. |
| Keyword | Multiscale asymptotic analysis Radiation boundary condition Periodic porous materials Transient heat transfer problem |
| DOI | 10.1016/j.finel.2015.04.005 |
| Language | 英语 |
| Funding Project | 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 Research Area | Mathematics ; Mechanics |
| WOS Subject | Mathematics, Applied ; Mechanics |
| WOS ID | WOS:000355840400002 |
| Publisher | ELSEVIER SCIENCE BV |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/19932 |
| Collection | 计算数学与科学工程计算研究所 |
| Corresponding Author | Yang, Zhiqiang |
| Affiliation | 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 |
| Recommended Citation 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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