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Phys. Rev. E 65, 046308 (2002) [6 pages]

Discrete lattice effects on the forcing term in the lattice Boltzmann method

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Zhaoli Guo1, Chuguang Zheng1, and Baochang Shi2
1National Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan 430074, People’s Republic of China
2Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, People’s Republic of China

Received 13 September 2001; published 10 April 2002

We show that discrete lattice effects must be considered in the introduction of a force into the lattice Boltzmann equation. A representation of the forcing term is then proposed. With the representation, the Navier-Stokes equation is derived from the lattice Boltzmann equation through the Chapman-Enskog expansion. Several other existing force treatments are also examined.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.65.046308
DOI:
10.1103/PhysRevE.65.046308
PACS:
47.11.+j
 
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