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

doi:10.4208/cicp.OA-2017-0103

	A Multiscale Algorithm for Heat Conduction-Radiation Problems in Porous Materials with Quasi-Periodic Structures
	Yang, Zhiqiang 1; Sun, Yi 1; Cui, Junzhi2 ; Li, Xiao 1
	2018-07-01
发表期刊	COMMUNICATIONS IN COMPUTATIONAL PHYSICS
ISSN	1815-2406
卷号	24 期号:1 页码:204-233
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.
关键词	Multiscale asymptotic analysis radiation boundary condition quasi-periodic structures nonlinear heat transfer problems
DOI	10.4208/cicp.OA-2017-0103
语种	英语
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
WOS类目	Physics, Mathematical
WOS记录号	WOS:000455953800010
出版者	GLOBAL SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/32230
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.