Local moving least square-one-dimensional integrated radial basis function networks technique for incompressible viscous flows

Ngo-Cong, D. and Mai-Duy, N. and Karunasena, W. and Tran-Cong, T. (2012) Local moving least square-one-dimensional integrated radial basis function networks technique for incompressible viscous flows. International Journal for Numerical Methods in Fluids, 70. pp. 1443-1474. ISSN 0271-2091

[img] Text (Submitted Version)
Ngo-Cong_Mai-Duy_Karunasena_Tran-Cong_IJNMF_v70_SV.pdf

Download (1146Kb)

Abstract

This paper presents a local moving least square-one-dimensional integrated radial basis function networks method for solving incompressible viscous flow problems using stream function-vorticity formulation. In this method, the partition of unity method is employed as a framework to incorporate the moving least square and one-dimensional integrated radial basis function networks techniques. The major advantages of the proposed method include the following: (i) a banded sparse system matrix which helps reduce the computational cost; (ii) the Kronecker-ı property of the constructed shape function which helps impose the essential boundary condition in an exact manner; and (iii) high accuracy and fast convergence rate owing to the use of integration instead of conventional differentiation to construct the local radial basis function approximations. Several examples including two-dimensional (2D) Poisson problems, lid-driven cavity flow and flow past a circular cylinder are considered, and the present results are compared with the exact solutions and numerical results from other methods in the literature to demonstrate the attractiveness of the proposed method.


Statistics for USQ ePrint 21713
Statistics for this ePrint Item
Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: Submitted version deposited in accordance with the copyright policy of the publisher.
Depositing User: epEditor USQ
Faculty / Department / School: Historic - Faculty of Engineering and Surveying - No Department
Date Deposited: 31 Aug 2012 03:24
Last Modified: 22 Jul 2014 01:42
Uncontrolled Keywords: incompressible viscous flow; stream function-vorticity formulation; integrated radial basis functions; moving least square; partition of unity; cartesian grids; numerical methods
Fields of Research (FOR2008): 09 Engineering > 0915 Interdisciplinary Engineering > 091508 Turbulent Flows
08 Information and Computing Sciences > 0802 Computation Theory and Mathematics > 080202 Applied Discrete Mathematics
08 Information and Computing Sciences > 0801 Artificial Intelligence and Image Processing > 080110 Simulation and Modelling
Socio-Economic Objective (SEO2008): E Expanding Knowledge > 97 Expanding Knowledge > 970109 Expanding Knowledge in Engineering
Identification Number or DOI: doi: 10.1002/fld.3640
URI: http://eprints.usq.edu.au/id/eprint/21713

Actions (login required)

View Item Archive Repository Staff Only