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Solution to navier-stokes equations for lid-driven cavity problem: comparisons between Lattice Boltzmann and splitting method

Ngali, Mohd Zamani and Sidik, N. A. C. and Osman, K. and Khudzairi, A. Z. M. (2007) Solution to navier-stokes equations for lid-driven cavity problem: comparisons between Lattice Boltzmann and splitting method. In: Proceeding of Computational and Experimental Mechanics (CEM 2007), 27-28 November 2007, Putrajaya, Malaysia.

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Abstract

Solutions to the Navier Stokes equations have been pursued by many researchers. One of the recent methods is lattice Boltzmann method, which evolves from Lattice Gas Automata, simulates fluid flows by tracking the evolution of the single particle distribution. Another method to solve fluid flow problems is by splitting the Navier Stokes equations into linear and non-linear forms, also known as splitting method. In this study, results from uniform and stretched form of splitting method are compared with results from lattice Boltzmann method. The traditional two dimensional lid driven cavity problems, with constant density, is used as the case study. For low Reynolds number transient problems, the lattice Boltzmann method requires less time as compared to that of splitting method to reach steady state conditions. As the Reynolds number increases, the lattice Boltzmann method begins to consume more time than that of splitting method. However, the lattice Boltzmann method results maintain to be the most accurate when comparisons are made with benchmark results for the same grid configuration.

Item Type: Conference or Workshop Item (Paper)
Uncontrolled Keywords: Lattice Boltzmann method; splitting method; lid-driven cavity flow
Subjects: Q Science > QA Mathematics > QA297 Numerical analysis. Analysis
Divisions: Faculty of Mechanical and Manufacturing Engineering > Department of Engineering Mechanics
Depositing User: Normajihan Abd. Rahman
Date Deposited: 01 Oct 2013 02:29
Last Modified: 21 Jan 2015 07:41
URI: http://eprints.uthm.edu.my/id/eprint/4273
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