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A Multiscale Algorithm for Heat Conduction-Radiation Problems in Porous Materials with Quasi-Periodic Structures

文献类型：期刊论文

作者Yang, Zhiqiang1; Sun, Yi1; Cui, Junzhi2; Li, Xiao1
刊名COMMUNICATIONS IN COMPUTATIONAL PHYSICS
出版日期2018-07-01
卷号24期号:1页码:204-233
关键词Multiscale asymptotic analysis radiation boundary condition quasi-periodic structures nonlinear heat transfer problems
ISSN号1815-2406
DOI10.4208/cicp.OA-2017-0103
英文摘要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.
资助项目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研究方向Physics
语种英语
WOS记录号WOS:000455953800010
出版者GLOBAL SCIENCE PRESS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/32229]  
专题计算数学与科学工程计算研究所
通讯作者Yang, Zhiqiang
作者单位1.Harbin Inst Technol, Dept Astronaut Sci & Mech, Harbin 150001, Heilongjiang, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing 100190, Peoples R China
推荐引用方式
GB/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.

入库方式： OAI收割

来源：数学与系统科学研究院

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