Parallel control-volume method based on compact local integrated RBFs for the solution of fluid flow problems

Pham-Sy, N. and Tran, C.-D. and Mai-Duy, N. and 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 and Sciences, 100 (5). pp. 363-397. ISSN 1526-1492


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.

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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: © 2014 Tech Science Press. Permanent restricted access to published version due to publisher copyright policy.
Faculty / Department / School: Current - Faculty of Health, Engineering and Sciences - School of Agricultural, Computational and Environmental Sciences
Date Deposited: 05 Feb 2015 05:35
Last Modified: 12 Nov 2015 05:44
Uncontrolled Keywords: compact local stencils; control volume method; domain decomposition method; integrated radial basis functions; parallel algorithm; superlinear speedup
Fields of Research : 09 Engineering > 0915 Interdisciplinary Engineering > 091501 Computational Fluid Dynamics
01 Mathematical Sciences > 0101 Pure Mathematics > 010110 Partial Differential Equations
08 Information and Computing Sciences > 0802 Computation Theory and Mathematics > 080201 Analysis of Algorithms and Complexity
Socio-Economic Objective: E Expanding Knowledge > 97 Expanding Knowledge > 970109 Expanding Knowledge in Engineering
Identification Number or DOI: 10.3970/cmes.2014.100.363

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