2006/04/30 by Raoyang Zhang, Xiaowen Shan, Hudong Chen · 4 citations
Engineering · Physics and Astronomy · #Aerosol Filtration and Electrostatic Precipitation #Fluid Dynamics and Turbulent Flows #Lattice Boltzmann Simulation Studies #physics.comp-ph #physics.flu-dyn
paper · pdf · doi:10.1103/physreve.74.046703
openalex publication_date 2006/10/12 · arxiv created 2006/10/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
We present a further theoretical extension to the kinetic-theory-based formulation of the lattice Boltzmann method of Shan [J. Fluid Mech. 550, 413 (2006)]. In addition to the higher-order projection of the equilibrium distribution function and a sufficiently accurate Gauss-Hermite quadrature in the original formulation, a regularization procedure is introduced in this paper. This procedure ensures a consistent order of accuracy control over the nonequilibrium contributions in the Galerkin sense. Using this formulation, we construct a specific lattice Boltzmann model that accurately incorporates up to third-order hydrodynamic moments. Numerical evidence demonstrates that the extended model overcomes some major defects existing in conventionally known lattice Boltzmann models, so that fluid flows at finite Knudsen number Kn can be more quantitatively simulated. Results from force-driven Poiseuille flow simulations predict the Knudsen's minimum and the asymptotic behavior of flow flux at large Kn.