Saturday 24 October 2009

Wseas Transactions

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Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 32-844
Full Name: Shahrir Abdullah
Position: Associate Professor
Age: ON
Sex: Male
Address: Dept. of Mechanical & Materials Engineering, National University of Malaysia, 43600 UKM Bangi
Country: MALAYSIA
Tel: +603-89215077
Tel prefix:
Fax: +603-89214950
E-mail address: shahrir@ukm.my
Other E-mails: shahrir.abdullah@gmail.com
Title of the Paper: Numerical simulation of the lattice Boltzmann method for lid-driven cavity flows at various Reynolds numbers
Authors as they appear in the Paper: M.A. Mussa, S. Abdullah, C.S. Nor Azwadi and N. Muhamad
Email addresses of all the authors: munther@eng.ukm.my, shahrir@ukm.my, azwadi@fkm.utm.my, hamidi@eng.ukm.my
Number of paper pages: 10
Abstract: The lattice Boltzmann method is one of the most recent simulation techniques based on molecular theory which has been found to be a very efficient numerical tool due to its capability to go deeper into the particle's domain, simulating their interaction among groups of particle and relating the parameters back to macro condition. Hence, this paper presents the simulation of lid-driven cavity for deep and shallow flow using the lattice Boltzmann method where the effect of the Reynolds number on the flow pattern at aspect ratios of 0.25, 0.5, 1.5 and 4.0 was studied. These types of flow exhibit a number of interesting physical features but are scarcely simulated using the LBM scheme. The source code was established based on the BGK model on rectangular lattice geometry. The results were then compared with the FLUENT software and were found to be in excellent agreement even with relatively coarse grids applied to the numerical calculation.
Keywords: Lattice Boltzmann method, distribution function, microscopic velocity, lid-driven cavity flow, BGK model.
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