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题名: A Novel Hybrid Boundary-Type Meshless Method for Solving Heat Conduction Problems in Layered Materials
作者: Jing-En Xiao
Cheng-Yu Ku
Wei-Po Huang
Yan Su
Yung-Hsien Tsai
贡献者: 國立臺灣海洋大學:河海工程學系
关键词: heat conduction problems
the collocation scheme
the meshless method
the domain decomposition method
layered materials.
日期: 2018-10
上传时间: 2018-10-15T02:58:19Z
出版者: Applied Science
摘要: Abstract: In this article, we propose a novel meshless method for solving two-dimensional stationary heat conduction problems in layered materials. The proposed method is a recently developed boundary-type meshless method which combines the collocation scheme from the method of fundamental solutions (MFS) with the collocation Trefftz method (CTM) to improve the applicability of the method for solving boundary value problems. Particular non-singular basis functions from cylindrical harmonics are adopted in which the numerical approximation is based on the superposition principle using the non-singular basis functions expressed in terms of many source points. For the modeling of multi-layer composite materials, we adopted the domain decomposition method (DDM), which splits the domain into smaller subdomains. The continuity of the flux and the temperature has to be satisfied at the interface of subdomains for the problem. The validity of the proposed method is investigated for several test problems. Numerical applications were also carried out. Comparison of the proposed method with other meshless methods showed that it is highly accurate and computationally efficient for modeling heat conduction problems, especially in heterogeneous multi-layer composite materials.
關聯: 8(10)
URI: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/50542
显示于类别:[河海工程學系] 期刊論文

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