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

页码：115 / 123

页数：9

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