An alternative lattice Boltzmann model for three-dimensional incompressible flow

Liangqi Zhang, Zhong Zeng, Haiqiong Xie, Xutang Tao, Yongxiang Zhang, Yiyu Lu, Akira Yoshikawa, Yoshiyuki Kawazoe

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


In this work, an alternative lattice Boltzmann (LB) model for three-dimensional (3D) incompressible flow is proposed. The equilibrium distribution function (EDF) of the present model is directly derived in accordance with the incompressibility conditions by applying the Hermite expansion. Moreover, an alternative formula for pressure computation is designed from the second order moment of the distribution function. The present 3D LB model inherits the advantageous features of Guo's LB model: the density is a constant, the fluid pressure is independent of density and the Navier-Stokes (N-S) equations for incompressible flow can be derived. Two benchmark tests, flow over a backward-facing step and the lid-driven cavity flow, are applied to validate the present model. Accurate results for these tests are obtained with the present model, and further comparisons with the previous LB models (the standard LB model, the He-Luo model and Guo's LB model) demonstrate that the present model provides better accuracy in the region of high deviatoric stress and such advantage is further enhanced by using the D3Q27 lattice.

Original languageEnglish
Pages (from-to)1107-1122
Number of pages16
JournalComputers and Mathematics with Applications
Issue number10
Publication statusPublished - 2014 Nov 1


  • Deviatoric stress
  • Hermite tensorial polynomials
  • Incompressible flow
  • Lattice Boltzmann model

ASJC Scopus subject areas

  • Modelling and Simulation
  • Computational Theory and Mathematics
  • Computational Mathematics


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