Journal of Guangxi Normal University(Natural Science Edition) ›› 2020, Vol. 38 ›› Issue (2): 87-95.doi: 10.16088/j.issn.1001-6600.2020.02.010

Previous Articles     Next Articles

A Modified Method Based on Chemical-PotentialLBM Multiphase Flow Model

ZHAO Jinxiang, CHEN Yanyan, QIN Zhangrong, ZHANG Chaoying*   

  1. Guangxi Key Laboratory of Multi-Source Information Mining and Security, Guangxi Normal University,Guilin Guangxi 541004, China
  • Received:2019-01-04 Published:2020-04-02

Abstract: Based on the chemical-potential lattice Boltzmann multiphase flow model, a modified chemical-potential multiphase flow model is proposed by introducing “reduced variables”. The performance of the model is verified, and the results show that, compared with the original chemical potential model, the temperature range and the gas-liquid density ratio of the modified model are greatly extended, the stability is remarkably improved, and the effect of spurious current is effectively reduced. The model is in good agreement with the thermodynamic consistency, meets with Laplace’s law, and has practical and applicable prospects.

Key words: lattice Boltzamnn method, chemical potential, reduced variables, thermodynamic consistency

CLC Number: 

  • O35
[1] AIDUN C K,CLAUSEN J R.Lattice-Boltzmann method for complex flows[J].Annual Review of Fluid Mechanics, 2010,42(1):439-472.DOI:10.1146/annurev-fluid-121108-145519.
[2] GUO Z,ZHAO T S.Lattice Boltzmann model for incompressible flows through porous media[J].Physical Review E,2002,66(3):036304.DOI:10.1103/PhysRevE.66.036304.
[3] 张超英,谭惠丽,刘慕仁,等.用格子Boltzmann方法模拟椭圆柱体在牛顿流体中的二维运动[J].广西师范大学学报(自然科学版),2004,22(1):1-5.DOI: 10.3969/j.issn.1001-6600.2004.01.001.
[4] 闻炳海,张超英,刘海燕,等.大血管中血液流动的LBM模拟[J].广西师范大学学报(自然科学版),2008,26(4):22-25.DOI:10.3969/j.issn.1001-6600.2008.04.006.
[5] 黄兵方,闻炳海,邱文,等.基于晶格Boltzmann方法的接触角实时测量研究[J].广西师范大学学报(自然科学版),2018,36(1):34-43.DOI: 10.16088/j.issn.1001-6600.2018.01.005.
[6] GUNSTENSEN A K,ROTHMAN D H,ZALESKI S,et al.Lattice Boltzmann model of immiscible fluids[J]. Physical Review A,1991,43(8):4320-4327.DOI:10.1103/PhysRevA.43.4320.
[7] SHAN X,CHEN H.Lattice Boltzmann model for simulating flows with multiple phases and components[J]. Physical Review E,Statistical Physics, Plasmas, Fluids,and Related Interdisciplinary Topics,1993, 47(3):1815-1819.DOI:10.1103/PhysRevE.47.1815.
[8] SWIFT M R,OSBORN W R,YEOMANS J M.Lattice Boltzmann simulation of nonideal fluids[J].Physical Review Letters,1995,75(5):830-833.DOI:0.1103/PhysRevLett.75.830.
[9] SWIFT M R,ORLANDINI E,OSBORN W R,et al.Lattice Boltzmann simulations of liquid-gas and binary fluid systems[J].Physical Review E,1996,54(5):5041-5052.DOI:10.1103/PhysRevE.54.5041.
[10]ZHANG R,CHEN H.Lattice Boltzmann method for simulations of liquid-vapor thermal flows[J].Physical Review E,2003,67(6):066711.DOI:10.1103/PhysRevE.67.066711.
[11]YUAN P,SCHAEFER L.Equations of state in a lattice Boltzmann model[J].Physics of Fluids,2006, 18(4):042101.DOI:10.1063/1.2187070.
[12]KUPERSHTOKH A L,MEDVEDEV D A,KARPOV D I.On equations of state in a lattice Boltzmann method[J]. Computers and Mathematics with Applications,2009,58(5):965-974.DOI:10.1016/j.camwa.2009.02.024.
[13]KUPERSHTOKH A L.Criterion of numerical instability of liquid state in LBE simulations[J]. Computers and Mathematics with Applications,2010,59(7):2236-2245.DOI:10.1016/j.camwa.2009.08.058.
[14]HU A,LI L,CHEN S,et al.On equations of state in pseudo-potential multiphase lattice Boltzmann model with large density ratio[J].International Journal of Heat and Mass Transfer,2013,67:159-163. DOI:10.1016/j.ijheatmasstransfer.2013.08.005.
[15]QIN Z,ZHAO W,CHEN Y,et al.A pseudopotential multiphase lattice Boltzmann model based on high-order difference[J].International Journal of Heat and Mass Transfer,2018,127:234-243.DOI:10.1016/j.ijheatmasstransfer.2018.08.002.
[16]INAMURO T,KONISHI N,OGINO F.A Galilean invariant model of the lattice Boltzmann method for multiphase fluid flows using free-energy approach[J].Computer Physics Communications,2000,129(1): 32-45.DOI:10.1016/S0010-4655(00)00090-4.
[17]WEN B,QIN Z,ZHANG C,et al.Thermodynamic-consistent lattice Boltzmann model for nonideal fluids[J]. Europhysics Letters,2015,112(4):44002.DOI:10.1209/0295-5075/112/44002.
[18]WEN B,ZHOU X,HE B,et al.Chemical-potential-based lattice Boltzmann method for nonideal fluids[J]. Physical Review E,2017,95(6):063305.DOI:10.1103/PhysRevE.95.063305.
[19]闻炳海,张超英,方海平.晶格Boltzmann方法中流体力的计算[J].中国科学: 物理学 力学 天文学,2017(7): 171-192.
[20]ROWLINSON B J S,WIDOM B.Molecular theory of capillarity[M].Clarendon:Oxford,1982.DOI:10.1007/ BF01018563.
[21]SHAN X,DOOLEN G.Multi-component lattice-Boltzmann model with interparticle interaction[J].Journal of Statistical Physics,1995,81(1/2):379-393.DOI:10.1007/BF02179985.
[22]LEE T,LIN C L.A stable discretization of the lattice Boltzmann equation for simulation of incompressible two-phase flows at high density ratio[J].Journal of Computational Physics,2005,206(1): 16-47.DOI:10.1016/j.jcp.2004.12.001.
[23]RAHMATI A R,ZARAREH A.Application of a modified pseudopotential lattice Boltzmann model for simulation of splashing phenomenon[J].European Journal of Mechanics-B/Fluids,2018,70:19-35.DOI:10.1016/j.euromechflu.2018.01.007.
[24]JOSSERAND C,RAY P,ZALESKI, et al.Droplet impact on a thin liquid film: anatomy of the splash[J]. Journal of Fluid Mechanics,2016,802:775-805.DOI:10.1017/jfm.2016.468.
[25]COPPOLA G,ROCCO G, de LUCA L.Insights on the impact of a plane drop on a thin liquid film[J].Physics of Fluids,2011,23(2):022105.DOI:10.1063/1.3555196.
[26]LI Q,LUO K H,LI X J.Lattice Boltzmann modeling of multiphase flows at large density ratio with an improved pseudopotential model[J].Phys Rev E Stat Nonlin Soft Matter Phys,2013,87(5):053301. DOI:10.1103/PhysRevE.87.053301.
[1] HUANG Bingfang,WEN Binghai,QIU Wen,ZHAO Wanling,CHEN Yanyan. Research on Real Time Measurement of Contact Angle Based on Lattice Boltzmann Method [J]. Journal of Guangxi Normal University(Natural Science Edition), 2018, 36(1): 34-43.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
[1] LI Yuhui, CHEN Zening, HUANG Zhonghao, ZHOU Qihai. Activity Time Budget of Assamese macaque (Macaca assamensis) during Rainy Season in Nonggang Nature Reserve, Guangxi, China[J]. Journal of Guangxi Normal University(Natural Science Edition), 2018, 36(3): 80 -86 .
[2] WEI Hongjin, ZHOU Xile, JIN Dongmei, YAN Yuehong. Additions to the Pteridophyte Flora of Hunan, China[J]. Journal of Guangxi Normal University(Natural Science Edition), 2018, 36(3): 101 -106 .
[3] LIN Yongsheng, PEI Jianguo, ZOU Shengzhang, DU Yuchao, LU Li. Red Bed Karst and Its Hydrochemical Characteristics of Groundwater in the Downstream of Qingjiang River, China[J]. Journal of Guangxi Normal University(Natural Science Edition), 2018, 36(3): 113 -120 .
[4] ZHANG Ru, ZHANG Bei, REN Hongrui. Spatio-temporal Dynamics Analysis and Its Affecting Factors of Cropland Loss in Xuangang Mining Area, Shanxi, China[J]. Journal of Guangxi Normal University(Natural Science Edition), 2018, 36(3): 121 -132 .
[5] LIU Guolun, SONG Shuxiang, CEN Mingcan, LI Guiqin, XIE Lina. Design of Bandwidth Tunable Band-Stop Filter[J]. Journal of Guangxi Normal University(Natural Science Edition), 2018, 36(3): 1 -8 .
[6] LIU Ming, ZHANG Shuangquan, HE Yude. Classification Study of Differential Telecom Users Based on SOM Neural Network[J]. Journal of Guangxi Normal University(Natural Science Edition), 2018, 36(3): 17 -24 .
[7] MIAO Xinyan, ZHANG Long, LUO Yantao, PAN Lijun. Study on a Class of Alternative Competition-Cooperation Hybrid Population Model[J]. Journal of Guangxi Normal University(Natural Science Edition), 2018, 36(3): 25 -31 .
[8] HUANG Yanping, WEI Yuming. Multiple Solutions of Multiple-points Boundary Value Problem for a Class of Fractional Differential Equation[J]. Journal of Guangxi Normal University(Natural Science Edition), 2018, 36(3): 41 -49 .
[9] WEN Yuzhuo, TANG Shengda, DENG Guohe. Analysis of the Ruin Time of Threshold Dividend Strategy Risk Model under Stochastic Environment[J]. Journal of Guangxi Normal University(Natural Science Edition), 2018, 36(3): 56 -62 .
[10] WAN Lei,LUO Yuling,HUANG Xingyue. Monitoring Platform for the Hardware Spike Neural Networks[J]. Journal of Guangxi Normal University(Natural Science Edition), 2018, 36(1): 9 -16 .