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

查看全文 作　　者：ZhiJuan [1,2]Meng;Heng [3]Cheng;LiDong [4]Ma;YuMin [1]Cheng

机构地区：[1]Shanghai Institute of Applied Mathematics and Mechanics, Shanghai Key Laboratory of Mechanics in Energy Engineering,Shanghai University;[2]School of Applied Science, Taiyuan University of Science and Technology;[3]Department of Civil Engineering, Shanghai University;[4]School of Materials Science and Engineering, Taiyuan University of Science and Technology

出　　处：《Science China(Physics,Mechanics & Astronomy)》索引2019年第62卷第4期,共12页

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.11571223,and 51404160);the Science and Technology Innovation Foundation of Higher Education of Shanxi Province(Grant No.2016163) 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. 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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The dimension splitting element-free Galerkin method for 3D transient heat conduction problems

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