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The dimension splitting interpolating element-free Galerkin method for solving three-dimensional transient heat conduction problems
- Source :
- Engineering Analysis with Boundary Elements. 128:326-341
- Publication Year :
- 2021
- Publisher :
- Elsevier BV, 2021.
-
Abstract
- In this paper, based on dimension splitting method and the improved interpolating moving least-squares (IMLS) method, a dimension splitting interpolating element-free Galerkin (DSIEFG) method for three-dimensional (3D) transient heat conduction problems is proposed. The main idea of the DSIEFG method is to split a 3D problem domain into a series of related two-dimensional (2D) subdomains. The improved IMLS method is used to construct shape function on 2D subdomains. Finite difference method is used to couple these discretized equations on 2D subdomains and employed in the time domain. Compared with the improved element-free Galerkin (IEFG) method, the advantage of the DSIEFG method is that the essential boundary conditions can be applied directly, which can improve computational accuracy and efficiency. Six examples are chosen to verify the effectiveness and efficiency of the DSIEFG method. The results of DSIEFG are compared with the numerical solutions of the IEFG method, and it is shown that the efficiency and precision of the DSIEFG method are greater than ones of the IEFG method for 3D transient heat conduction problems.
- Subjects :
- Series (mathematics)
Discretization
Applied Mathematics
General Engineering
Finite difference method
02 engineering and technology
Thermal conduction
01 natural sciences
010101 applied mathematics
Computational Mathematics
020303 mechanical engineering & transports
0203 mechanical engineering
Dimension (vector space)
Applied mathematics
Time domain
Boundary value problem
0101 mathematics
Galerkin method
Analysis
Mathematics
Subjects
Details
- ISSN :
- 09557997
- Volume :
- 128
- Database :
- OpenAIRE
- Journal :
- Engineering Analysis with Boundary Elements
- Accession number :
- edsair.doi...........de88bf1938daabe9d45cc3158b133e0b