Multiscale computational method for nonstationary integrated heat transfer problem in periodic porous materials |
| |
| Authors: | Zhiqiang Yang Junzhi Cui Ziqiang Wang Yang Zhang |
| |
| Affiliation: | 1. Department of Astronautic Science and Mechanics, Harbin Institute of Technology, Harbin, China;2. LSEC, ICMSEC, Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing, China;3. Department of Mathematics, College of Science, Guizhou Minzu University, Guiyang, China;4. Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an, China |
| |
| 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. © 2015 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 32: 510–530, 2016 |
| |
| Keywords: | multiscale asymptotic expansion error estimates periodic porous materials integrated heat transfer |
|
|
