An improved element free Galerkin method and precise time-step integration method for solving transient heat conduction problems

被引：1

作者：

Zhang, Xiaohua ^{[1
]}

Xiang, Hui ^{[1
]}

机构：

[1] China Three Goeges Univ, Coll Sci, Yichang 443002, Peoples R China

来源：

ADVANCES IN COMPUTATIONAL MODELING AND SIMULATION, PTS 1 AND 2 | 2014年 / 444-445卷

关键词：

Element free Galerkin method; Precise integration method; Transient heat conduction; Interpolation property; IMPLEMENTATION;

D O I：

10.4028/www.scientific.net/AMM.0.1517

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

An improved element free Galerkin method coupled the precise time-step integration method in the time domain is proposed for solving transient heat conduction problem with spatially varying conductivity in the paper. Firstly the nodal influence domain of element free Galerkin methods is extended to arbitrary convex polygon rather than rectangle and circle. When the dimensionless size of the nodal influence domain is 1.01, the shape function almost possesses interpolation property, thus essential boundary conditions can be implemented without any difficulties for the meshless method. Secondly, the precise time-step integration method is selected for the time discretization in order to improve the computational efficiency. Lastly, one numerical example is given to illustrate the highly accurate and efficient algorithm.

引用

页码：1517 / 1521

页数：5

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