TY - EJOU AU - Li, Yiqiang AU - Ma, Liang AU - Yang, Zhiqiang AU - Guan, Xiaofei AU - Nie, Yufeng AU - Yang, Zihao TI - Statistical Multiscale Analysis of Transient Conduction and Radiation Heat Transfer Problem in Random Inhomogeneous Porous Materials T2 - Computer Modeling in Engineering \& Sciences PY - 2018 VL - 115 IS - 1 SN - 1526-1506 AB - This paper is devoted to the homogenization and statistical multiscale analysis of a transient heat conduction problem in random porous materials with a nonlinear radiation boundary condition. A novel statistical multiscale analysis method based on the two-scale asymptotic expansion is proposed. In the statistical multiscale formulations, a unified linear homogenization procedure is established and the second-order correctors are introduced for modeling the nonlinear radiative heat transfer in random perforations, which are our main contributions. Besides, a numerical algorithm based on the statistical multiscale method is given in details. Numerical results prove the accuracy and efficiency of our method for multiscale simulation of transient nonlinear conduction and radiation heat transfer problem in random porous materials. KW - Statistical multiscale analysis method KW - transient heat conduction problem KW - nonlinear radiation boundary condition KW - random porous materials DO - 10.3970/cmes.2018.115.001