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Parallel Control-volume Method Based on Compact Local Integrated RBFs for the Solution of Fluid Flow Problems

N. Pham-Sy1, C.-D. Tran1, N. Mai-Duy1, T. Tran-Cong1
Computational Engineering and Science Research Centre, Faculty of Engineering and Surveying, The University of Southern Queensland, Toowoomba, QLD 4350, Australia.

Computer Modeling in Engineering & Sciences 2014, 100(5), 363-397. https://doi.org/10.3970/cmes.2014.100.363

Abstract

In this paper, a high performance computing method based on the Integrated Radial Basis Function (IRBF), Control Volume (CV) and Domain Decomposition technique for solving Partial Differential Equations is presented. The goal is to develop an efficient parallel algorithm based on the Compact Local IRBF method using the CV approach, especially for problems with non-rectangular domain. The results showed that the goal is achieved as the computational efficiency is quite significant. For the case of square lid driven cavity problem with Renoylds number 100, super-linear speed-up is also achieved. The parallel algorithm is implemented in the Matlab environment using Parallel Computing Toolbox based on Distributed Computing Engine.

Keywords

Integrated Radial Basis Functions, Compact Local Stencils, Control Volume Method, Domain Decomposition Method, Parallel Algorithm, Superlinear Speedup.

Cite This Article

Pham-Sy, N., Tran, C., Mai-Duy, N., Tran-Cong, T. (2014). Parallel Control-volume Method Based on Compact Local Integrated RBFs for the Solution of Fluid Flow Problems. CMES-Computer Modeling in Engineering & Sciences, 100(5), 363–397.



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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