Analyzing three-dimensional transient heat conduction problems with the dimension splitting reproducing kernel particle method. (December 2020)

• Record Type: Journal Article
• Authors: Peng, P.P.; Cheng, Y.M.
• Is Part Of: Engineering analysis with boundary elements. Volume 121(2020)
• Page Start: 180
• Page End: 191
• Publication Date: 2020-12
• Subjects: Reproducing kernel particle method -- Dimension splitting method -- Dimension splitting reproducing kernel particle method -- Finite difference method -- Transient heat conduction problems; Boundary element methods -- Periodicals; Engineering mathematics -- Periodicals; Équations intégrales de frontière, Méthodes des -- Périodiques; Mathématiques de l'ingénieur -- Périodiques; Boundary element methods; Engineering mathematics; Periodicals; 620.00151
• DOI: 10.1016/j.enganabound.2020.09.011
• Languages: English
• ISSNs: 0955-7997

Abstract

Abstract: 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.