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THERMAL LATTICE BOLTZMANN SIMULATION OF VISCOUS FLOW IN A SQUARE CAVITY

XIAO-YANG LÜ

Department of Physics, Fudan University, Shanghai 200433, China

Guangdong Public Administration Institute, Guangzhou, Guangdong 510631, China

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CHAO-YING ZHANG

College of Physics and Information Engineering, Guangxi Normal University, Guilin, Guangxi 541004, China

Corresponding author.

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MU-REN LIU

College of Physics and Information Engineering, Guangxi Normal University, Guilin, Guangxi 541004, China

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LING-JIANG KONG

College of Physics and Information Engineering, Guangxi Normal University, Guilin, Guangxi 541004, China

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, and

HUA-BING LI

Department of Information Material Science and Engineering, Guilin University of Electronic Technology, Guilin, Guangxi 541004, China

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https://doi.org/10.1142/S0129183105007583Cited by:1 (Source: Crossref)

Abstract

The 13-speed thermal lattice Bhatnagar–Gross–Krook model on hexagonal lattice is a single relaxation time model with an adjustable parameter λ which makes the Prandtl number tunable. This model maintains the simplicity of the lattice Boltzmann method (LBM) and is also suitable for various thermal fluids. In this paper, it is applied to simulations of the lid-driven flow in a square cavity at a wide range of Reynolds numbers. Numerical experiments show that this model can give the same accurate results as those by the conventional numerical methods.

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