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# The Second-Order Two-Scale Method for Heat Transfer Performances of Periodic Porous Materials with Interior Surface Radiation

Zhiqiang Yang1, Junzhi Cui2, Yufeng Nie1, Qiang Ma2

Department of Applied Mathematics, School of Science, Northwestern Polytechnical University, Xi’an, 710129, P.R. China. E-mail: yangzhiqiang@mail.nwpu.edu.cn
LSEC, ICMSEC, Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing, 100190, P.R. China.

Computer Modeling in Engineering & Sciences 2012, 88(5), 419-442. https://doi.org/10.3970/cmes.2012.088.419

## Abstract

In this paper, a new second-order two-scale (SOTS) method is developed to predict heat transfer performances of periodic porous materials with interior surface radiation. Firstly, the second-order two-scale formulation for computing temperature field of the problem is given by means of construction way. Then, the error estimation of the second-order two-scale approximate solution is derived on some regularity hypothesis. Finally, the corresponding finite element algorithms are proposed and some numerical results are presented. They show that the SOTS method in this paper is feasible and valid for predicting the heat transfer performances of periodic porous materials.

## Keywords

APA Style
Yang, Z., Cui, J., Nie, Y., Ma, Q. (2012). The second-order two-scale method for heat transfer performances of periodic porous materials with interior surface radiation. Computer Modeling in Engineering & Sciences, 88(5), 419-442. https://doi.org/10.3970/cmes.2012.088.419
Vancouver Style
Yang Z, Cui J, Nie Y, Ma Q. The second-order two-scale method for heat transfer performances of periodic porous materials with interior surface radiation. Comput Model Eng Sci. 2012;88(5):419-442 https://doi.org/10.3970/cmes.2012.088.419
IEEE Style
Z. Yang, J. Cui, Y. Nie, and Q. Ma "The Second-Order Two-Scale Method for Heat Transfer Performances of Periodic Porous Materials with Interior Surface Radiation," Comput. Model. Eng. Sci., vol. 88, no. 5, pp. 419-442. 2012. https://doi.org/10.3970/cmes.2012.088.419

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