2016/09/30 by Jun Li, Minh Tuan Ho, Li, Jun +5 · 1 citation
Engineering · Physics and Astronomy · #Aerosol Filtration and Electrostatic Precipitation #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Heat and Mass Transfer in Porous Media #Lattice Boltzmann Simulation Studies #physics.flu-dyn
paper · pdf · doi:10.48550/arxiv.1609.09685
arxiv created 2016/09/30 · openalex publication_date 2016/09/30 · arxiv updated 2016/10/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Lattice Boltzmann method (LBM) has been applied to predict flow properties of porous media including intrinsic permeability, where it is implicitly assumed that the LBM is equivalent to the incompressible (or near incompressible) Navier-Stokes equation. However, in LBM simulations, high-order moments, which are completely neglected in the Navier-Stokes equation, are still available through particle distribution functions. To ensure that the LBM simulation is correctly working at the Navier-Stokes hydrodynamic level, the high-order moments have to be negligible. This requires that the Knudsen number (Kn) is small so that rarefaction effect can be ignored. In this technical note, we elaborate this issue in LBM modelling of porous media flows, which is particularly important for gas flows in ultra-tight media.