LBM Application in Two-Phase Fluid Flow with Large Density Ratio

In this paper, a stable lattice Boltzmann model (LBM) based on non-ideal gases is presented for simulation of incompressible two-phase flows with large density ratio. To reduce the parasitic currents across the interface and correspondingly increase the numerical stability, the stress and potential forms of the surface tension force is employed. The applications to a stationary bubble and capillary-gravity wave with density ratio 1000 are given to verify this model. The numerical solutions is agree well with analytic solutions of the Laplace's law and capillary-gravity wave.

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Phase-field lattice Boltzmann model for two-phase flows with large density ratio

Physical Review E ◽

10.1103/physreve.105.015304 ◽

2022 ◽

Vol 105 (1) ◽

Author(s):

Shengyuan Zhang ◽

Jun Tang ◽

Huiying Wu

Keyword(s):

Phase Field ◽

Lattice Boltzmann ◽

Density Ratio ◽

Lattice Boltzmann Model ◽

Two Phase Flows ◽

Two Phase ◽

Large Density ◽

Large Density Ratio ◽

Boltzmann Model

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Dissolution process of a single bubble under pressure with a large-density-ratio multicomponent multiphase lattice Boltzmann model

Physical Review E ◽

10.1103/physreve.102.063306 ◽

2020 ◽

Vol 102 (6) ◽

Author(s):

Xiaolong He ◽

Jianmin Zhang ◽

Qian Yang ◽

Haonan Peng ◽

Weilin Xu

Keyword(s):

Lattice Boltzmann ◽

Density Ratio ◽

Lattice Boltzmann Model ◽

Single Bubble ◽

Dissolution Process ◽

Large Density ◽

Large Density Ratio ◽

Boltzmann Model

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A Preconditioned Implicit Free-Surface Capture Scheme for Large Density Ratio on Tetrahedral Grids

Communications in Computational Physics ◽

10.4208/cicp.170510.290311a ◽

2012 ◽

Vol 11 (1) ◽

pp. 215-248 ◽

Cited By ~ 7

Author(s):

Xin Lv ◽

Qingping Zou ◽

D.E. Reeve ◽

Yong Zhao

Keyword(s):

Free Surface ◽

Density Ratio ◽

Three Dimensional ◽

Integration Scheme ◽

Two Phase ◽

Fully Implicit ◽

Large Density ◽

Multi Stage ◽

Tetrahedral Grids ◽

Large Density Ratio

AbstractWe present a three dimensional preconditioned implicit free-surface capture scheme on tetrahedral grids. The current scheme improves our recently reported method [10] in several aspects. Specifically, we modified the original eigensystem by applying a preconditioning matrix so that the new eigensystem is virtually independent of density ratio, which is typically large for practical two-phase problems. Further, we replaced the explicit multi-stage Runge-Kutta method by a fully implicit Euler integration scheme for the Navier-Stokes (NS) solver and the Volume of Fluids (VOF) equation is now solved with a second order Crank-Nicolson implicit scheme to reduce the numerical diffusion effect. The preconditioned restarted Generalized Minimal RESidual method (GMRES) is then employed to solve the resulting linear system. The validation studies show that with these modifications, the method has improved stability and accuracy when dealing with large density ratio two-phase problems.

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