TY - JOUR
T1 - A Pseudopotential Lattice Boltzmann Analysis for Multicomponent Flow
AU - Zhao , Yong
AU - Pereira , Gerald G.
AU - Kuang , Shibo
AU - Chai , Zhenhua
AU - Shi , Baochang
JO - Communications in Computational Physics
VL - 4
SP - 1156
EP - 1178
PY - 2022
DA - 2022/10
SN - 32
DO - http://doi.org/10.4208/cicp.OA-2022-0209
UR - https://global-sci.org/intro/article_detail/cicp/21142.html
KW - Lattice Boltzmann method, multicomponent flows, Chapman-Enskog analysis.
AB - <p style="text-align: justify;">This paper presents a pseudopotential lattice Boltzmann analysis to show
the deficiency of previous pseudopotential models, i.e., inconsistency between equilibrium velocity and mixture velocity. To rectify this problem, there are two strategies: decoupling relaxation time and kinematic viscosity or introducing a system mixture relaxation time. Then, we constructed two modified models: a two-relaxation-time (TRT) scheme and a triple-relaxation-time (TriRT) scheme to decouple the relaxation time and kinematic viscosity. Meanwhile, inspired by the idea of a system
mixture relaxation time, we developed three mixture models under different collision
schemes, viz. mix-SRT, mix-TRT, and mix-TriRT models. Afterwards, we derived the
advection-diffusion equation for the multicomponent system and derived the mutual
diffusivity in a binary mixture. Finally, we conducted several numerical simulations to
validate the analysis on these models. The numerical results show that these models
can obtain smaller spurious currents than previous models and have a wider range for
the accessible viscosity ratio with fourth-order isotropy. Compared to previous models, present models avoid complex matrix operations and only fourth-order isotropy is
required. The increased simplicity and higher computational efficiency of these models make them easy to apply to engineering and industrial applications.</p>