A Pseudopotential Lattice Boltzmann Analysis for Multicomponent Flow  

作　　者：Yong Zhao Gerald G.Pereira Shibo Kuang Zhenhua Chai Baochang Shi 

机构地区：[1]School of Mathematics and Statistics,Changsha University of Science and Technology,Changsha 410114,Hunan,China [2]CSIRO Data61,Private Bag 10,Clayton South 3168,Australia [3]ARC Research Hub for Computational Particle Technology,Department of Chemical Engineering,Monash University,Victoria 3800,Australia [4]School of Mathematics and Statistics,Huazhong University of Science and Technology,Wuhan 430074,China

出　　处：《Communications in Computational Physics》2022年第9期1156-1178,共23页计算物理通讯（英文）

基　　金：supported by the Natural Science Foundation of Hunan Province,China(Grant No.2022JJ40466 and No.2020JJ4235);Research Foundation of Education Bureau of Hunan Province,China(Grant No.21C0213).

摘　　要：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-relaxationtime(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 binarymixture.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,presentmodels 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.

关 键 词：Lattice Boltzmann method multicomponent flows Chapman-Enskog analysis 

分 类 号：O17[理学—数学]