Second-order two-scale computations for conductive radiative heat transfer problem in periodic porous materials  

作　　者：杨志强 崔俊芝 李博文 

机构地区：[1]Department of Applied Mathematics, Northwestern Polytechnical University [2]LSEC, ICMSEC, Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences

出　　处：《Chinese Physics B》2014年第3期91-98,共8页中国物理B（英文版）

基　　金：Project supported by the National Basic Research Program of China(Grant No.2010CB832702);the National Natural Science Foundation of China(Grant No.90916027)

摘　　要：In this paper, a kind of second-order two-scale （SOTS） computation is developed for conductive-radiative heat trans- fer problem in periodic porous materials. First of all, by the asymptotic expansion of the temperature field, the cell problem, homogenization problem, and second-order correctors are obtained successively. Then, the corresponding finite element al- gorithms are proposed. Finally, some numerical results are presented and compared with theoretical results. The numerical results of the proposed algorithm conform with those of the FE algorithm well, demonstrating the accuracy of the present method and its potential applications in thermal engineering of porous materials.In this paper, a kind of second-order two-scale （SOTS） computation is developed for conductive-radiative heat trans- fer problem in periodic porous materials. First of all, by the asymptotic expansion of the temperature field, the cell problem, homogenization problem, and second-order correctors are obtained successively. Then, the corresponding finite element al- gorithms are proposed. Finally, some numerical results are presented and compared with theoretical results. The numerical results of the proposed algorithm conform with those of the FE algorithm well, demonstrating the accuracy of the present method and its potential applications in thermal engineering of porous materials.

关 键 词：second-order two-scale （SOTS） computations periodic porous materials conductive-radiativeheat transfer 

分 类 号：O551.3[理学—热学与物质分子运动论]