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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/50542

Title: A Novel Hybrid Boundary-Type Meshless Method for Solving Heat Conduction Problems in Layered Materials
Authors: Jing-En Xiao
Cheng-Yu Ku
Wei-Po Huang
Yan Su
Yung-Hsien Tsai
Contributors: 國立臺灣海洋大學:河海工程學系
Keywords: heat conduction problems
the collocation scheme
the meshless method
the domain decomposition method
layered materials.
Date: 2018-10
Issue Date: 2018-10-15T02:58:19Z
Publisher: Applied Science
Abstract: 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.
Relation: 8(10)
URI: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/50542
Appears in Collections:[Department of Harbor and River Engineering] Periodical Articles

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