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

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 diff...

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Bibliographic Details
Published in:Science China. Physics, mechanics & astronomy mechanics & astronomy, 2019-04, Vol.62 (4), p.40711, Article 40711
Main Authors: Meng, ZhiJuan, Cheng, Heng, Ma, LiDong, Cheng, YuMin
Format: Article
Language:English
Subjects:
Astronomy
Boundary conditions
Civil engineering
Classical and Continuum Physics
Conduction heating
Conductive heat transfer
Efficiency
Finite difference method
Galerkin method
Heat
Mechanics
Methods
Numerical analysis
Observations and Techniques
Physics
Physics and Astronomy
Science
Splitting
Transient heat conduction
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Summary: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.
ISSN:1674-7348
1869-1927
DOI:10.1007/s11433-018-9299-8