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 High-order three-scale computational method for heat conduction problems of axisymmetric composite structures with multiple spatial scales Dong, Hao1; Cui, Junzhi2; Nie, Yufeng3; Yang, Zihao3; Wang, Ziqiang4 2018-07-01 Source Publication ADVANCES IN ENGINEERING SOFTWARE ISSN 0965-9978 Volume 121Pages:1-12 Abstract 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. Keyword Multiscale asymptotic analysis Heat conduction problems Axisymmetric composite structures Multiple spatial scales HOTS numerical algorithm DOI 10.1016/j.advengsoft.2018.03.005 Language 英语 Funding Project 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 Research Area Computer Science ; Engineering WOS Subject Computer Science, Interdisciplinary Applications ; Computer Science, Software Engineering ; Engineering, Multidisciplinary WOS ID WOS:000433214700001 Publisher ELSEVIER SCI LTD Citation statistics Document Type 期刊论文 Identifier http://ir.amss.ac.cn/handle/2S8OKBNM/30375 Collection 计算数学与科学工程计算研究所 Corresponding Author Dong, Hao Affiliation 1.Xidian Univ, Sch Math & Stat, Xian 710071, Shaanxi, Peoples R China2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China3.Northwestern Polytech Univ, Sch Sci, Dept Appl Math, Xian 710129, Shaanxi, Peoples R China4.Guizhou Minzu Univ, Sch Data Sci & Informat Engn, Guiyang 550025, Guizhou, Peoples R China Recommended CitationGB/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.
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