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A Novel Meshfree Analysis of Transient Heat Conduction Problems Using RRKPM

Hongfen Gao1, Gaofeng Wei2,3,*

1 College of Intelligent Engineering, Shandong Management University, Jinan, 250357, China
2 School of Mechanical and Automotive Engineering, Qilu University of Technology (Shandong Academy of Sciences), Jinan, 250353, China
3 Shandong Institute of Mechanical Design and Research, Jinan, 250353, China

* Corresponding Author: Gaofeng Wei. Email:

(This article belongs to this Special Issue: Numerical Methods in Engineering Analysis, Data Analysis and Artificial Intelligence)

Computer Modeling in Engineering & Sciences 2022, 131(3), 1793-1814.


By introducing the radial basis functions (RBFs) into the reproducing kernel particle method (RKPM), the calculating accuracy and stability of the RKPM can be improved, and a novel meshfree method of the radial basis RKPM (meshfree RRKPM) is proposed. Meanwhile, the meshfree RRKPM is applied to transient heat conduction problems (THCP), and the corresponding equations of the meshfree RRKPM for the THCP are derived. The two-point time difference scheme is selected to discretize the time of the THCP. Finally, the numerical results illustrate the effectiveness of the meshfree RRKPM for the THCP.


Cite This Article

Gao, H., Wei, G. (2022). A Novel Meshfree Analysis of Transient Heat Conduction Problems Using RRKPM. CMES-Computer Modeling in Engineering & Sciences, 131(3), 1793–1814.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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