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 A Multiscale Algorithm for Heat Conduction-Radiation Problems in Porous Materials with Quasi-Periodic Structures Yang, Zhiqiang1; Sun, Yi1; Cui, Junzhi2; Li, Xiao1 2018-07-01 Source Publication COMMUNICATIONS IN COMPUTATIONAL PHYSICS ISSN 1815-2406 Volume 24Issue:1Pages:204-233 Abstract This paper develops a second-order multiscale asymptotic analysis and numerical algorithms for predicting heat transfer performance of porous materials with quasi-periodic structures. In these porous materials, they have periodic configurations and associated coefficients are dependent on the macro-location. Also, radiation effect at microscale has an important influence on the macroscopic temperature fields, which is our particular interest in this study. The characteristic of the coupled multiscale model between macroscopic scale and microscopic scale owing to quasi-periodic structures is given at first. Then, the second-order multiscale formulas for solving temperature fields of the nonlinear problems are constructed, and associated explicit convergence rates are obtained on some regularity hypothesis. Finally, the corresponding finite element algorithms based on multiscale methods are brought forward and some numerical results are given in detail. Numerical examples including different coefficients are given to illustrate the efficiency and stability of the computational strategy. They show that the expansions to the second terms are necessary to obtain the thermal behavior precisely, and the local and global oscillations of the temperature fields are dependent on the microscopic and macroscopic part of the coefficients respectively. Keyword Multiscale asymptotic analysis radiation boundary condition quasi-periodic structures nonlinear heat transfer problems DOI 10.4208/cicp.OA-2017-0103 Language 英语 Funding Project Fundamental Research Funds for the Central Universities ; National Natural Science Foundation of China[11701123] ; China Postdoctoral Science Foundation[2015M580256] ; China Postdoctoral Science Foundation[2016T90276] WOS Research Area Physics WOS Subject Physics, Mathematical WOS ID WOS:000455953800010 Publisher GLOBAL SCIENCE PRESS Citation statistics Document Type 期刊论文 Identifier http://ir.amss.ac.cn/handle/2S8OKBNM/32230 Collection 计算数学与科学工程计算研究所 Corresponding Author Yang, Zhiqiang Affiliation 1.Harbin Inst Technol, Dept Astronaut Sci & Mech, Harbin 150001, Heilongjiang, Peoples R China2.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing 100190, Peoples R China Recommended CitationGB/T 7714 Yang, Zhiqiang,Sun, Yi,Cui, Junzhi,et al. A Multiscale Algorithm for Heat Conduction-Radiation Problems in Porous Materials with Quasi-Periodic Structures[J]. COMMUNICATIONS IN COMPUTATIONAL PHYSICS,2018,24(1):204-233. APA Yang, Zhiqiang,Sun, Yi,Cui, Junzhi,&Li, Xiao.(2018).A Multiscale Algorithm for Heat Conduction-Radiation Problems in Porous Materials with Quasi-Periodic Structures.COMMUNICATIONS IN COMPUTATIONAL PHYSICS,24(1),204-233. MLA Yang, Zhiqiang,et al."A Multiscale Algorithm for Heat Conduction-Radiation Problems in Porous Materials with Quasi-Periodic Structures".COMMUNICATIONS IN COMPUTATIONAL PHYSICS 24.1(2018):204-233.
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