Paper Info
Title
An alternative lattice Boltzmann model for three-dimensional incompressible flow.
Abstract
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.
Year
DOI
Venue
2014
10.1016/j.camwa.2014.08.009
Computers & Mathematics with Applications
Keywords
Field
DocType
Lattice Boltzmann model,Incompressible flow,Hermite tensorial polynomials,Deviatoric stress
Mathematical optimization,Lattice (order),Mathematical analysis,Flow (psychology),Hermite polynomials,Lattice Boltzmann methods,Incompressible flow,Compressible flow,Distribution function,Mathematics,Computation
Journal
Volume
Issue
ISSN
68
10
0898-1221
Citations 
PageRank 
References 
0
0.34
5
Authors
8
Name
Order
Citations
PageRank
Liangqi Zhang122.69
Zhong Zeng2346.63
Haiqiong Xie310.70
Xu Tao400.68
Yongxiang Zhang510.70
Yiyu Lu610.70
Akira Yoshikawa710.70
Yoshiyuki Kawazoe843.99