Multiscale computational method for nonstationary integrated heat transfer problem in periodic porous materials
文献类型：期刊论文
| 作者 | Yang, Zhiqiang1; Cui, Junzhi2 ; Wang, Ziqiang3; Zhang, Yang4
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| 刊名 | NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2016-03-01 |
| 卷号 | 32期号:2页码:510-530 |
| 关键词 | multiscale asymptotic expansion error estimates periodic porous materials integrated heat transfer |
| ISSN号 | 0749-159X |
| DOI | 10.1002/num.22003 |
| 英文摘要 | This article discusses multiscale analysis and numerical algorithm for the nonstationary integrated heat transfer problem with rapidly oscillating coefficients. The multiscale asymptotic expansion of the solution for this kind of problems is presented first. Then, error estimates of the multiscale approximate solution are derived, and a numerical algorithm based on the multiscale method for temperature field is introduced. Finally, using some numerical models, we verify the validity and relevancy of the proposed algorithm. The numerical results show that the algorithm is effective to predict the heat transfer performance of porous materials, and support the convergence theorem reported in this article. (c) 2015 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 32: 510-530, 2016 |
| 资助项目 | National Natural Science Foundation of China[90916027] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000369535400006 |
| 出版者 | WILEY-BLACKWELL |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/21912]  |
| 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.Guizhou Minzu Univ, Coll Sci, Dept Math, Guiyang 550025, Peoples R China 4.Northwestern Polytech Univ, Dept Appl Math, Xian 710129, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yang, Zhiqiang,Cui, Junzhi,Wang, Ziqiang,et al. Multiscale computational method for nonstationary integrated heat transfer problem in periodic porous materials[J]. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS,2016,32(2):510-530. |
| APA | Yang, Zhiqiang,Cui, Junzhi,Wang, Ziqiang,&Zhang, Yang.(2016).Multiscale computational method for nonstationary integrated heat transfer problem in periodic porous materials.NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS,32(2),510-530. |
| MLA | Yang, Zhiqiang,et al."Multiscale computational method for nonstationary integrated heat transfer problem in periodic porous materials".NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS 32.2(2016):510-530. |
入库方式： OAI收割
来源：数学与系统科学研究院
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