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

doi:10.1088/1674-1056/23/3/030203

中国物理B ›› 2014, Vol. 23 ›› Issue (3): 30203-030203.doi: 10.1088/1674-1056/23/3/030203

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

杨志强^a, 崔俊芝^b, 李博文^b

a Department of Applied Mathematics, Northwestern Polytechnical University, Xi’an 710129, China;
b LSEC, ICMSEC, Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing 100190, China

收稿日期:2013-05-16 修回日期:2013-08-07 出版日期:2014-03-15 发布日期:2014-03-15
基金资助:
Project supported by the National Basic Research Program of China (Grant No. 2010CB832702) and the National Natural Science Foundation of China (Grant No. 90916027).

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

Yang Zhi-Qiang (杨志强)^a, Cui Jun-Zhi (崔俊芝)^b, Li Bo-Wen (李博文)^b

a Department of Applied Mathematics, Northwestern Polytechnical University, Xi’an 710129, China;
b LSEC, ICMSEC, Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing 100190, China

Received:2013-05-16 Revised:2013-08-07 Online:2014-03-15 Published:2014-03-15
Contact: Yang Zhi-Qiang E-mail:yangzhiqiang@mail.nwpu.edu.cn
Supported by:
Project supported by the National Basic Research Program of China (Grant No. 2010CB832702) and the National Natural Science Foundation of China (Grant No. 90916027).

摘要/Abstract

摘要： In this paper, a kind of second-order two-scale (SOTS) computation is developed for conductive–radiative heat transfer 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 algorithms 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–, radiative heat transfer

Abstract: In this paper, a kind of second-order two-scale (SOTS) computation is developed for conductive–radiative heat transfer 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 algorithms 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.

Key words: second-order two-scale (SOTS) computations, periodic porous materials, conductive–radiative heat transfer

中图分类号: (Partial differential equations)

02.30.Jr

44.40.+a (Thermal radiation) 02.60.-x (Numerical approximation and analysis) 02.60.Cb (Numerical simulation; solution of equations)

杨志强, 崔俊芝, 李博文. Second-order two-scale computations for conductive–radiative heat transfer problem in periodic porous materials[J]. 中国物理B, 2014, 23(3): 30203-030203.

Yang Zhi-Qiang (杨志强), Cui Jun-Zhi (崔俊芝), Li Bo-Wen (李博文). Second-order two-scale computations for conductive–radiative heat transfer problem in periodic porous materials[J]. Chin. Phys. B, 2014, 23(3): 30203-030203.

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

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

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