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

Zhaoli Guo, Chuguang Zheng, and Baochang Shi
Phys. Rev. E 65, 046308 – Published 10 April 2002
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Abstract

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.

  • Received 13 September 2001

DOI:https://doi.org/10.1103/PhysRevE.65.046308

©2002 American Physical Society

Authors & Affiliations

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

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Vol. 65, Iss. 4 — April 2002

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