KMS Of Academy of mathematics and systems sciences, CAS
| Multiscale computational method for nonstationary integrated heat transfer problem in periodic porous materials | |
Yang, Zhiqiang1; Cui, Junzhi2 ; Wang, Ziqiang3; Zhang, Yang4
| |
| 2016-03-01 | |
| Source Publication | NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
 |
| ISSN | 0749-159X |
| Volume | 32Issue:2Pages:510-530 |
| Abstract | 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 |
| Keyword | multiscale asymptotic expansion error estimates periodic porous materials integrated heat transfer |
| DOI | 10.1002/num.22003 |
| Language | 英语 |
| Funding Project | National Natural Science Foundation of China[90916027] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000369535400006 |
| Publisher | WILEY-BLACKWELL |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/21913 |
| 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 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 |
| Recommended Citation 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. |
| Files in This Item: | There are no files associated with this item. | |||||
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment