CSpace  > 计算数学与科学工程计算研究所
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 PublicationADVANCES IN ENGINEERING SOFTWARE
ISSN0965-9978
Volume121Pages:1-12
AbstractThis 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.
KeywordMultiscale asymptotic analysis Heat conduction problems Axisymmetric composite structures Multiple spatial scales HOTS numerical algorithm
DOI10.1016/j.advengsoft.2018.03.005
Language英语
Funding ProjectFundamental 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 AreaComputer Science ; Engineering
WOS SubjectComputer Science, Interdisciplinary Applications ; Computer Science, Software Engineering ; Engineering, Multidisciplinary
WOS IDWOS:000433214700001
PublisherELSEVIER SCI LTD
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/30375
Collection计算数学与科学工程计算研究所
Affiliation1.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
Recommended Citation
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.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Dong, Hao]'s Articles
[Cui, Junzhi]'s Articles
[Nie, Yufeng]'s Articles
Baidu academic
Similar articles in Baidu academic
[Dong, Hao]'s Articles
[Cui, Junzhi]'s Articles
[Nie, Yufeng]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Dong, Hao]'s Articles
[Cui, Junzhi]'s Articles
[Nie, Yufeng]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.