Discretisation of the velocity-pressure formulation with integrated radial-basis-function networks

Thai-Quang, N. and Le-Cao, K. and Mai-Duy, N. and Tran-Cong, T. (2011) Discretisation of the velocity-pressure formulation with integrated radial-basis-function networks. Structural Longevity, 6 (2). pp. 77-91. ISSN 1944-611X

Abstract

This study is concerned with the use of integrated radial-basis-function networks (IRBFNs) for the discretisation of the velocity-pressure formulation in two dimensions on Cartesian grids. In the approximation of the field variables (i.e. velocity components and pressure), instead of using low-order polynomial interpolants, we employ global IRBFNs along grid lines (i.e. one-dimensional IRBFNs). In the imposition of boundary condition for the pressure, we propose two treatments, namely Treatment A and Treatment B. For both treatments, Neumann boundary conditions are transformed into Dirichlet ones. The former is based on values of the pressure at interior nodes along a grid line and first derivative values of the pressure at two extreme nodes of that grid line; while the latter relies on values of the pressure at interior nodes along a grid line together with both first and second derivative values of the pressure at two extreme nodes of that grid line. The proposed method is verified successfully through the simulation of a benchmark test, namely the isothermal lid-driven cavity flow problem.


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Item Type: Article (Commonwealth Reporting Category C)
Refereed: No
Item Status: Live Archive
Additional Information: Copyright © 2011 Tech Science Press.
Faculty / Department / School: Historic - Faculty of Engineering and Surveying - Department of Mechanical and Mechatronic Engineering
Date Deposited: 27 May 2013 00:08
Last Modified: 30 Jan 2017 01:54
Uncontrolled Keywords: integrated radial basis function; pressure-velocity formulation; lid-driven cavity flow; Dirichlet boundary condition; cartesian grid
Fields of Research : 08 Information and Computing Sciences > 0802 Computation Theory and Mathematics > 080202 Applied Discrete Mathematics
09 Engineering > 0906 Electrical and Electronic Engineering > 090604 Microelectronics and Integrated Circuits
08 Information and Computing Sciences > 0802 Computation Theory and Mathematics > 080205 Numerical Computation
Socio-Economic Objective: E Expanding Knowledge > 97 Expanding Knowledge > 970109 Expanding Knowledge in Engineering
Identification Number or DOI: 10.3970/sl.2011.006.077
URI: http://eprints.usq.edu.au/id/eprint/23201

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