Fourth-order analysis of force terms in multiphase pseudopotential lattice Boltzmann model

被引：14

作者：

Wu, Yongyong ^{[1
,2
]}

Gui, Nan ^{[1
]}

Yang, Xingtuan ^{[1
]}

Tu, Jiyuan ^{[1
,2
]}

Jiang, Shengyao ^{[1
]}

机构：

[1] Tsinghua Univ, Collaborat Innovat Ctr Adv Nucl Energy Technol, Key Lab Adv Reactor Engn & Safety, Minist Educ,Inst Nucl & New Energy Technol, Beijing 100084, Peoples R China

[2] RMIT Univ, Sch Engn, Melbourne, Vic 3083, Australia

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2018年 / 76卷 / 07期

基金：

国家高技术研究发展计划(863计划); 中国国家自然科学基金;

关键词：

Pseudopotential lattice Boltzmann model; Multiphase-relaxation-time (MRT); Fourth-order analysis; Density ratio; Force terms; PHASE-TRANSITIONS; SIMULATION; EQUATION; FLOWS; COALESCENCE; STATE;

D O I：

10.1016/j.camwa.2018.07.022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Pseudopotential lattice Boltzmann model (LBM) for multiphase flow has been widely studied due to its conceptual simplicity and computational efficiency. Additional interaction force terms are proposed to adjust mechanical stability condition for thermodynamic consistency in pseudopotential force. However, the additional force terms introduce a new non-physical effect in fourth-order macroscopic equation, which causes a variation of density ratio with different relaxation times in the multiphase-relaxation-time (MRT) LBM. In this work, a fourth-order analysis of force term in MRT LBM is presented to identify the fourth-order terms in recovered Navier-Stokes equations. Through the higher-order analysis, two methods are proposed to eliminate this effect. A series of numerical tests of planar interface and droplet are conducted to validate the analyses. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：1699 / 1712

页数：14

共 42 条

[1]

[Anonymous], 2017, PHYS REV E

[2] THE LATTICE BOLTZMANN-EQUATION - THEORY AND APPLICATIONS [J].

BENZI, R ;

SUCCI, S ;

VERGASSOLA, M .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1992, 222 (03) :145-197

[3]

Brownlee R.A., 2013, PROG COMPUT PHYS, V3, P31, DOI [DOI 10.2174/97816080571601130301, 10.2174/9781608057160113030005, DOI 10.2174/9781608057160113030005]

[4] Mesoscopic simulation of non-ideal fluids with self-tuning of the equation of state [J].