Asymptotic computation for transient heat conduction performance of periodic porous materials in curvilinear coordinates by the second-order two-scale method

doi:10.1002/mma.4374

	Asymptotic computation for transient heat conduction performance of periodic porous materials in curvilinear coordinates by the second-order two-scale method
	Ma, Qiang 1,2; Li, Zhihui 1,2; Yang, Zihao 3; Cui, Junzhi4
	2017-09-30
发表期刊	MATHEMATICAL METHODS IN THE APPLIED SCIENCES
ISSN	0170-4214
卷号	40 期号:14 页码:5109-5130
摘要	A novel second-order two-scale (SOTS) analysis method is developed for predicting the transient heat conduction performance of porous materials with periodic configurations in curvilinear coordinates. Under proper coordinate transformations, some non-periodic porous structures in Cartesian coordinates can be transformed into periodic structures in general curvilinear coordinates, which is our particular interest in this study. The SOTS asymptotic expansion formulas for computing the temperature field of transient heat conduction problem in curvilinear coordinates are constructed, some coordinate transformations are discussed, and the related SOTS formulas are given. The feature of this asymptoticmodel is that each of the cell functions defined in the periodic cell domain is associated with themacroscopic coordinates and the homogenized material coefficients varies continuously in the macroscopic domain behaving like the functional gradient material. Finally, the corresponding SOTS finite element algorithms are brought forward, and some numerical examples are given in detail. The numerical results demonstrate that the SOTSmethod proposed in this paper is valid to predict transient heat conduction performance of porous materials with periodicity in curvilinear coordinates. By proper coordinate transformations, the SOTS asymptotic analysis method can be extended to more general non-periodic porous structures in Cartesian coordinates. Copyright (C) 2017 John Wiley & Sons, Ltd.
关键词	SOTS asymptotic analysis transient heat conduction porous materials curvilinear coordinates coordinate transformation
DOI	10.1002/mma.4374
语种	英语
资助项目	National Key Basic Research and Development Program[2014CB744100] ; National Natural Science Foundation of China[11501449] ; National Natural Science Foundation of China[11325212] ; National Natural Science Foundation of China[91530319] ; China Postdoctoral Science Foundation[2014M562616] ; China Postdoctoral Science Foundation[2016T91019] ; State Key Laboratory of Science and Engineering Computing
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000409046200009
出版者	WILEY
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/26461
专题	计算数学与科学工程计算研究所
通讯作者	Li, Zhihui
作者单位	1.China Aerodynam Res & Dev Ctr, Hyperveloc Aerodynam Inst, Mianyang 621000, Peoples R China 2.BUAA, Natl Lab Computat Fluid Dynam, Beijing 100191, Peoples R China 3.Northwestern Polytech Univ, Dept Appl Math, Xian 710072, Shaanxi, Peoples R China 4.Chinese Acad Sci, LSEC, ICMSEC, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Ma, Qiang,Li, Zhihui,Yang, Zihao,et al. Asymptotic computation for transient heat conduction performance of periodic porous materials in curvilinear coordinates by the second-order two-scale method[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES,2017,40(14):5109-5130.
APA	Ma, Qiang,Li, Zhihui,Yang, Zihao,&Cui, Junzhi.(2017).Asymptotic computation for transient heat conduction performance of periodic porous materials in curvilinear coordinates by the second-order two-scale method.MATHEMATICAL METHODS IN THE APPLIED SCIENCES,40(14),5109-5130.
MLA	Ma, Qiang,et al."Asymptotic computation for transient heat conduction performance of periodic porous materials in curvilinear coordinates by the second-order two-scale method".MATHEMATICAL METHODS IN THE APPLIED SCIENCES 40.14(2017):5109-5130.