Singular boundary method using time-dependent fundamental solution for transient diffusion problems

被引：21
|
作者：
Chen, Wen [1 ]
Wang, Fajie [1 ]
机构：
[1] Hohai Univ, State Key Lab Hydrol Water Resources & Hydraul En, Ctr Numer Simulat Software Engn & Sci, Coll Mech & Mat, Nanjing 210098, Jiangsu, Peoples R China
来源：
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2016年 / 68卷
基金：
中国国家自然科学基金;
关键词：
Singular boundary method; Diffusion; Time-dependent fundamental solutions; Meshless; Boundary-only; Origin intensity factor; HEAT-CONDUCTION; ELEMENT METHOD; ANISOTROPIC DIFFUSION; POTENTIAL PROBLEMS; EQUATIONS; DOMAIN; MODEL; LTDRM; FLOW;
D O I：
10.1016/j.enganabound.2016.04.004
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This paper documents the first attempt to apply the singular boundary method (SBM) with time-dependent fundamental solution to transient diffusion equations. An inverse interpolation technique is introduced to determine the origin intensity factor of the SBM. The scheme is mathematically simple, easy-to-program, truly boundary-only, free of integration and mesh. Several examples, especially threedimensional (3D) cases, are provided to verify time-dependent SBM strategy. The numerical results clearly demonstrate its great potential. (C) 2016 Elsevier Ltd. All rights reserved.
引用
收藏
页码：115 / 123
页数：9
相关论文
共 50 条
  • [1] Singular boundary method for transient convection-diffusion problems with time-dependent fundamental solution
    Wang, Fajie
    Chen, Wen
    Tadeu, Antonio
    Correia, Carla G.
    [J]. INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2017, 114 : 1126 - 1134
  • [2] Singular boundary method using time-dependent fundamental solution for scalar wave equations
    Wen Chen
    Junpu Li
    Zhuojia Fu
    [J]. Computational Mechanics, 2016, 58 : 717 - 730
  • [3] Singular boundary method using time-dependent fundamental solution for scalar wave equations
    Chen, Wen
    Li, Junpu
    Fu, Zhuojia
    [J]. COMPUTATIONAL MECHANICS, 2016, 58 (05) : 717 - 730
  • [4] Accurate empirical formulas for the evaluation of origin intensity factor in singular boundary method using time-dependent diffusion fundamental solution
    Wang, Fajie
    Chen, Wen
    [J]. INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2016, 103 : 360 - 369
  • [5] Solving transient diffusion problems: time-dependent fundamental solution approaches versus LTDRM approaches
    Zhu, SP
    [J]. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 1998, 21 (01) : 87 - 90
  • [6] Analytical evaluation of the origin intensity factor of time-dependent diffusion fundamental solution for a matrix-free singular boundary method formulation
    Wang, Fajie
    Chen, Wen
    Zhang, Chuanzeng
    Lin, Ji
    [J]. APPLIED MATHEMATICAL MODELLING, 2017, 49 : 647 - 662
  • [7] SOLUTION OF TIME-DEPENDENT BOUNDARY-VALUE PROBLEMS BY THE BOUNDARY OPERATOR METHOD
    FISHER, HD
    CEPKAUSKAS, MM
    CHANDRA, S
    [J]. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1979, 15 (08) : 607 - 614
  • [8] Singular boundary method based on time-dependent fundamental solutions for active noise control
    Li, Junpu
    Chen, Wen
    [J]. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2018, 34 (04) : 1401 - 1421
  • [9] Time-dependent fundamental solutions for homogeneous diffusion problems
    Young, DL
    Tsai, CC
    Murugesan, K
    Fan, CM
    Chen, CW
    [J]. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2004, 28 (12) : 1463 - 1473
  • [10] Transient mold cooling analysis using BEM with the time-dependent fundamental solution
    Qiao, H
    [J]. INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER, 2005, 32 (3-4) : 315 - 322
12345