High-order three-scale computational method for heat conduction problems of axisymmetric composite structures with multiple spatial scales

doi:10.1016/j.advengsoft.2018.03.005

	High-order three-scale computational method for heat conduction problems of axisymmetric composite structures with multiple spatial scales
	Dong, Hao 1; Cui, Junzhi2 ; Nie, Yufeng 3; Yang, Zihao 3; Wang, Ziqiang 4
	2018-07-01
发表期刊	ADVANCES IN ENGINEERING SOFTWARE
ISSN	0965-9978
卷号	121 页码:1-12
摘要	This study develops a novel high-order three-scale (HOTS) computational method for heat conduction problems of axisymmetric composite structures with multiple spatial scales. The heterogeneities of the composites are taken into account by periodic distributions of unit cells on the mesoscale and microscale. Firstly, the multiscale asymptotic analysis for these multiscale problems is given detailedly. Based on the above-mentioned analysis, the new unified micro-meso-macro HOTS approximate solutions are successfully constructed for these multiscale problems. Two classes of auxiliary cell functions are established on the mesoscale and microscale. Then, the error analyses for the conventional two-scale solutions, low-order three-scale (LOTS) solutions and HOTS solutions are obtained in the pointwise sense, which illustrate the necessity of developing HOTS solutions for simulating the heat conduction behaviors of composite structures with multiple periodic configurations. Furthermore, the corresponding HOTS numerical algorithm based on finite element method (FEM) is brought forward in details. Finally, some numerical examples are presented to verify the feasibility and validity of our HOTS computational method. In this paper, a unified three-scale computational framework is established for heat conduction problems of axisymmetric composite structures with multiple spatial scales.
关键词	Multiscale asymptotic analysis Heat conduction problems Axisymmetric composite structures Multiple spatial scales HOTS numerical algorithm
DOI	10.1016/j.advengsoft.2018.03.005
语种	英语
资助项目	Fundamental Research Funds for the Central Universities[JB180703] ; National Natural Science Foundation of China[11471262] ; National Natural Science Foundation of China[11501449] ; National Natural Science Foundation of China[11501140] ; National Natural Science Foundation of China[11601037] ; National Basic Research Program of China[2012CB025904] ; State Scholarship Fund of China Scholarship Council[201606290191] ; Center for high performance computing of Northwestern Polytechnical University
WOS研究方向	Computer Science ; Engineering
WOS类目	Computer Science, Interdisciplinary Applications ; Computer Science, Software Engineering ; Engineering, Multidisciplinary
WOS记录号	WOS:000433214700001
出版者	ELSEVIER SCI LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/30375
专题	计算数学与科学工程计算研究所
通讯作者	Dong, Hao
作者单位	1.Xidian Univ, Sch Math & Stat, Xian 710071, Shaanxi, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China 3.Northwestern Polytech Univ, Sch Sci, Dept Appl Math, Xian 710129, Shaanxi, Peoples R China 4.Guizhou Minzu Univ, Sch Data Sci & Informat Engn, Guiyang 550025, Guizhou, Peoples R China
推荐引用方式 GB/T 7714	Dong, Hao,Cui, Junzhi,Nie, Yufeng,et al. High-order three-scale computational method for heat conduction problems of axisymmetric composite structures with multiple spatial scales[J]. ADVANCES IN ENGINEERING SOFTWARE,2018,121:1-12.
APA	Dong, Hao,Cui, Junzhi,Nie, Yufeng,Yang, Zihao,&Wang, Ziqiang.(2018).High-order three-scale computational method for heat conduction problems of axisymmetric composite structures with multiple spatial scales.ADVANCES IN ENGINEERING SOFTWARE,121,1-12.
MLA	Dong, Hao,et al."High-order three-scale computational method for heat conduction problems of axisymmetric composite structures with multiple spatial scales".ADVANCES IN ENGINEERING SOFTWARE 121(2018):1-12.