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作者:

Zhang, Limei (Zhang, Limei.) | Zheng, Hong (Zheng, Hong.) (学者:郑宏) | Liu, Feng (Liu, Feng.)

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EI Scopus SCIE

摘要:

In this study, the moving least squares based numerical manifold method (MLS-NMM) is firstly applied to discretize three-dimensional (3D) steady heat conduction problems of functionally graded materials (FGMs). In the 3D MLS-NMM, the influence domains of nodes in the moving least squares (MLS) are used as the mathematical patches to construct the mathematical cover (MC); while the shape functions of MLS-nodes as the weight functions subordinate to the MC. Compared with the traditional NMM using finite elements to form the MC, the cutting operations in generating the physical cover are unnecessary and the computation complexity is decreased significantly. Based on the Galerkin method, the discrete form of 3D heat conduction is derived. Finally, a series of numerical experiments concerning steady heat conduction problems are performed, suggesting that the proposed MLS-NMM enjoys advantages of both MLS and NMM in solving steady heat conduction.

关键词:

Three-dimensional steady heat conduction manifold method problem Moving least squares Moving least squares based numerical Numerical manifold method Functionally graded materials

作者机构:

  • [ 1 ] [Zhang, Limei]Beijing Univ Technol, Key Lab Urban Secur & Disaster Engn, Minist Educ, Beijing 100124, Peoples R China
  • [ 2 ] [Zheng, Hong]Beijing Univ Technol, Key Lab Urban Secur & Disaster Engn, Minist Educ, Beijing 100124, Peoples R China
  • [ 3 ] [Liu, Feng]Tianjin Univ, Sch Civil Engn, State Key Lab Hydraul Engn Simulat & Safety, Tianjin, Peoples R China
  • [ 4 ] [Zheng, Hong]Chinese Acad Sci, Inst Rock & Soil Mech, State Key Lab Geomech & Geotech Engn, Wuhan 430071, Peoples R China

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来源 :

COMPUTERS & MATHEMATICS WITH APPLICATIONS

ISSN: 0898-1221

年份: 2023

卷: 144

页码: 124-140

2 . 9 0 0

JCR@2022

ESI学科: MATHEMATICS;

ESI高被引阀值:9

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SCOPUS被引频次: 2

ESI高被引论文在榜: 0 展开所有

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