Three-dimensional Numerical Simulation of Dynamics Characteristics of Two Rising Bubbles with Lattice Boltzmann Method

doi:10.19596/j.cnki.1001-246x.8048

Abstract

Abstract: Dynamics characteristics of two bubbles in a quiescent fluid were simulated with three-dimensional lattice Boltzmann model. Eight-point and eighteen-point difference schemes were used to calculate the first and the second order derivative ▽ φ and ▽²φ in order to avoid numerical instability caused by large density ratios. It shows that for two rising bubbles with same size, the leading bubble rises like an isolated bubble, and the trailing bubble is influenced by the wake of the leading bubble. For two rising bubbles with different sizes, however, the larger bubble always strongly affects the smaller one in any initial sizes and locations.

Key words: lattice Boltzmann method, three-dimensional simulation, two bubbles, dynamics characteristics, flow field

CLC Number:

O359

HU Yu, SUN Tao. Three-dimensional Numerical Simulation of Dynamics Characteristics of Two Rising Bubbles with Lattice Boltzmann Method[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 37(3): 277-283.

References

[1] 谢应明, 周兴法, 舒欢, 等. 一种家用太阳能气泡泵吸收式空调的系统设计与技术经济性分析[J]. 流体机械, 2014:72-76.
[2] PILLIOD J E, PUCKETT E G. Second-order accurate volume-of-fluid algorithms for tracking material interfaces[J]. Journal of Computational Physics, 2004, 199:465-502.
[3] ROTHMAN D H, KELLER J M. Immiscible cellular-automaton fluids[J]. Journal of Statistical Physics, 1988, 52:1119-1127.
[4] GNNSTENSEN A K, ROTHMAN D H, ZALESKI S. Lattice Boltzmann model of immiscible fluids[J], Physical Review A, 1991, 43(8):4320-4327.
[5] SHAN X, DOOLEN G. Multicomponent lattice-Boltzmann model with interparticle interaction[J]. Journal of Statistical Physics, 1995, 81:379-393.
[6] SHAN X, HE X. Discretization of the velocity space in the solution of the Boltzmann equation[J]. Physical Review Letters, 1998, 80:65-68.
[7] SWIFT M R, OSBORN W R, YEOMANS J M. Lattice Boltzmann simulation of nonideal fluids[J]. Physical Review Letters, 1995, 75:830-833.
[8] ZHENG H W, SHU C, CHEW Y T. Lattice Boltzmann interface capturing method for incompressible flows[J]. Physical Review E, 2005, 72:056705.
[9] LV Y, NIE D, LIN J. Lattice Boltzmaan simulation of gas bubble merging in three dimeasions[J]. Chinese J Comput Phys, 2015, 32(5):553-560.
[10] 蒋昌波, 王刚, 邓斌, 等. 不同尺度水平并列气泡运动特性三维数值研究[J]. 应用基础与工程科学学报, 2015, 23(2):233-245.
[11] CAHN J W, HILLIARD J E. Free energy of a nonuniform system I:Interfacial free energy[J]. The Journal of Chemical Physics, 1958, 28(2):258.
[12] 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.
[13] HUANG H, ZHENG H, LU X Y, et al. An evaluation of a 3D free-energy-based lattice Boltzmann model for multiphase flows with large density ratio[J]. International Journal for Numerical Methods in Fluids, 2010, 63:1193-1207.
[14] BHAGA D, WEBER M E. Bubbles in viscous liquids:Shapes, wakes and velocities[J]. Journal of Fluid Mechanics, 1981, 105:61-85.
[15] BRERETON G, KOROTNEY D. Coaxial and oblique coalescence of two rising bubbles[J]. Dynamics of Bubbles and Vortices Near a Free Surface, AMD, 1991:119.