A multiscale algorithm for radiative heat transfer equation with rapidly oscillating coefficients
文献类型：期刊论文
| 作者 | Huang, Jizu1,2 ; Cao, Liqun1; Yang, Chao3
|
| 刊名 | APPLIED MATHEMATICS AND COMPUTATION
 |
| 出版日期 | 2015-09-01 |
| 卷号 | 266页码:149-168 |
| 关键词 | Radiation heat transfer equation Homogenization Multiscale asymptotic expansion Composite materials Porous media |
| ISSN号 | 0096-3003 |
| DOI | 10.1016/j.amc.2015.05.048 |
| 英文摘要 | This paper, as a continued work of Huang and Cao (2014), discusses the multiscale computation of the radiative heat transfer in composite materials or porous media. A novel multiscale asymptotic expansion is presented, and an explicit rate of convergence is derived. We develop a multiscale algorithm for solving this kind of problem. A fully implicit scheme is carefully studied and an iterative algorithm is given. The convergence of the iterative algorithm is proved by the fixed point method. Numerical results confirm the efficiency and accuracy of this approach and show that the novel multiscale asymptotic expansion is essential for the radiative-dominated cases. (C) 2015 Elsevier Inc. All rights reserved. |
| 资助项目 | National Natural Science Foundation of China[91330202] ; National Natural Science Foundation of China[90916027] ; National Natural Science Foundation of China[61170075] ; National Basic Research Program of China (973 Program)[2010CB832702] ; Funds for Creative Research Group of China[11321061] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000359300100014 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/20569]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Cao, Liqun |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Inst Software, Beijing 100190, Peoples R China 3.Chinese Acad Sci, State Key Lab Comp Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Huang, Jizu,Cao, Liqun,Yang, Chao. A multiscale algorithm for radiative heat transfer equation with rapidly oscillating coefficients[J]. APPLIED MATHEMATICS AND COMPUTATION,2015,266:149-168. |
| APA | Huang, Jizu,Cao, Liqun,&Yang, Chao.(2015).A multiscale algorithm for radiative heat transfer equation with rapidly oscillating coefficients.APPLIED MATHEMATICS AND COMPUTATION,266,149-168. |
| MLA | Huang, Jizu,et al."A multiscale algorithm for radiative heat transfer equation with rapidly oscillating coefficients".APPLIED MATHEMATICS AND COMPUTATION 266(2015):149-168. |
入库方式： OAI收割
来源：数学与系统科学研究院
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