The dimension splitting element-free Galerkin method for 3D transient heat conduction problems

被引：0
|
作者：
ZhiJuan Meng
Heng Cheng
LiDong Ma
YuMin Cheng
机构：
[1] Shanghai University,Shanghai Institute of Applied Mathematics and Mechanics, Shanghai Key Laboratory of Mechanics in Energy Engineering
[2] Taiyuan University of Science and Technology,School of Applied Science
[3] Shanghai University,Department of Civil Engineering
[4] Taiyuan University of Science and Technology,School of Materials Science and Engineering
来源：
Science China Physics, Mechanics & Astronomy | 2019年 / 62卷
关键词：
improved element-free Galerkin (IEFG) method; dimension splitting method; finite difference method; dimension splitting element-free Galerkin (DSEFG) method; transient heat conduction problem;
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摘要：
By transforming a 3D problem into some related 2D problems, the dimension splitting element-free Galerkin (DSEFG) method is proposed to solve 3D transient heat conduction problems. The improved element-free Galerkin (IEFG) method is used for 2D transient heat conduction problems, and the finite difference method is applied in the splitting direction. The discretized system equation is obtained based on the Galerkin weak form of 2D problem; the essential boundary conditions are imposed with the penalty method; and the finite difference method is employed in the time domain. Four exemplary problems are chosen to verify the efficiency of the DSEFG method. The numerical solutions show that the efficiency and precision of the DSEFG method are greater than ones of the IEFG method for 3D problems.
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