Numerical simulation of bubble interactions using an adaptive lattice Boltzmann method

An SPH modeling of bubble rising and coalescing in three dimensions

“…Note that for two ellipsoidal bubbles, the repelling effect of the flow wakes behind the bubbles are much stronger, which may cause them depart from each other (see e.g. Yu et al [11]). The horizontal repelling of two ellipsoidal bubbles is out of the scope of this part.…”

“…Volume of Fluid (VOF) method [4], Level Set (LS) method [5,6], Front Tracking Method (FTM) [7][8][9], Lattice Boltzmann Method (LBM) [10][11][12][13], etc. The advantage and disadvantage of these mesh-based methods are analyzed (see e.g.…”

Experimental studies on the shape and motion of air bubbles in viscous liquids

“…It has guiding significance for in-depth study of bubble dynamics in gas-liquid two-phase flow to solve many engineering problems. Researches on the bubble dynamics have been conducted for decades, and many achievements have been accomplished by using theoretical analysis [4][5][6][7][8], experimental measurement [9][10][11][12][13][14] and numerical simulation [15][16][17][18][19][20], showing that the interactions between gas and liquid, i.e. viscous force, gravity, surface tension, and inertial force, mainly dominate the behavior of bubble dynamics.…”

Bubble Motion under Gravity through Lattice Boltzmann Method

“…The equilibrium distribution functions gi(eq) are [12], (11) where thecoefficientsAi, Bi and Ciare defined according to the D2Q5 lattice.…”

“…These models include potential method proposed by Shan et al [7], color method proposed by Rothman et al [8], and free energy method proposed by Swift et al [9]and improved byZheng et al [10]. The free energy method [10] was proved to be a good tool for the study of two-phase flows with high viscosity ratios and high density ratio.As shown by Gupta et al [11] and Yu et al [12], in comparison with the case of single bubble, the motion of multiple bubbles under gravity could be much more complex due to hydrodynamic interactions between bubbles. Besides, the bubble coalescence and break-up could take place occasionally which have great effect on the motion of multiple bubbles.…”