Journal
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
Volume 121, Issue -, Pages 180-191Publisher
ELSEVIER SCI LTD
DOI: 10.1016/j.enganabound.2020.09.011
Keywords
Reproducing kernel particle method; Dimension splitting method; Dimension splitting reproducing kernel particle method; Finite difference method; Transient heat conduction problems
Funding
- National Natural Science Foundation of China [11571223]
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In this paper, to improve the computational speed of the reproducing kernel particle method (RKPM), the dimension splitting reproducing kernel particle method (DSRKPM) is presented for solving three-dimensional (3D) transient heat conduction problems. The idea of the proposed method is transforming the 3D problem into a series of two-dimensional (2D) ones by using the finite difference method in the splitting direction. Since the shape function of the RKPM for 2D problem is much simpler than the one of 3D problem, the DSRKPM has higher computational speed than the RKPM. To demonstrate the applicability of the proposed method, four example problems are presented, and each of them is solved by the DSRKPM and the RKPM, respectively. And the numerical solutions show that the DSRKPM not only greatly improves the computational efficiency, but also has a higher computational accuracy.
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