An evaluation of lattice Boltzmann equation methods for simulating flow through porous media

Content Provider	Semantic Scholar
Author	Pan, Chongxun Luo, Lvlin
Abstract	We evaluated lattice Boltzmann equation (LBE) methods for modeling flow through porous media. We compared a three-dimensional, 19-velocity, multiple-relaxation-time (MRT) LBE model with a popular single-relaxation-time, Bhatnagar-Gross-Krook (BGK) LBE model. It can be shown that the latter (BGK-LBE) model is a spacial case of the former (MRT-LBE) model for a certain set of parameter constraints used in the collision operator. We compared the accuracy of the two models for two test cases: (1) Poiseuille flow between parallel plates, and (2) flow past a periodic simple cubic (SC) array of spheres. We also compared two solid-phase, boundary condition approximations: (1) a linearly interpolated bounce-back (LIBB) method, and (2) a standard bounce-back (SBB) method without interpolation. Our results clearly demonstrate advantages of the MRTLBE model over its BGK counterpart, and the benefits of the LIBB method over the SBB method in terms of numerical accuracy.
File Format	PDF HTM / HTML
Alternate Webpage(s)	http://www.lions.odu.edu/~lluo/Reprints-luo/2005/PanCX_CMWR15-2005.pdf
Language	English
Access Restriction	Open
Subject Keyword	Approximation Back Pain Bhatnagar–Gross–Krook operator Cubic function Flow Gross motor development delay IBM Notes Interpolation Imputation Technique Lattice Boltzmann methods Lattice corneal dystrophy Type I Linear interpolation Linear programming relaxation Mathematics Medial rostrotemporal auditory cortex Navier–Stokes equations Nephrogenic Systemic Fibrosis Numerical analysis Population Parameter Science Simulation Test case benefit collision
Content Type	Text
Resource Type	Article