Commun. Comput. Phys., 2 (2007), pp. 239-254.

Three-Dimensional Lattice Kinetic Scheme and its Application to Simulate Incompressible Viscous Thermal Flows

Y. Peng 1, C. Shu 1*, Y. T. Chew 1

1 Department of Mechanical Engineering, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260.

Received 21 October 2005; Accepted (in revised version) 20 May 2006
Communicated by Sauro Succi
Available online 30 September 2006


In this paper, the three-dimensional lattice kinetic scheme is presented to simulate incompressible viscous thermal flows. As compared with the standard LBM, the present scheme has the following good features. It can save the computer memory since there is no need to store the density distributions. Like the conventional NS solvers, the implementation of boundary conditions is straightforward since the dependent variables are the macroscopic flow parameters. The easy implementation of boundary conditions is a good property for solving three-dimensional flow problems. The present scheme is validated by simulating the three-dimensional natural convection in an air-filled cubical enclosure, which is heated differentially at two vertical side walls. The obtained numerical results compare very well with available data in the literature.

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PACS: 47.11.+j, 47.15.-x
Key words: Lattice kinetic scheme, lattice Boltzmann method, three-dimensional, incompressible flow, natural convection, thermal flow.

*Corresponding author.
Email: (Y. Peng), (C. Shu), (Y. T. Chew)

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