Phase-field-based lattice Boltzmann modeling of large-density-ratio two-phase flows

Physical Review. E
Hong LiangBaochang Shi

Abstract

In this paper, we present a simple and accurate lattice Boltzmann (LB) model for immiscible two-phase flows, which is able to deal with large density contrasts. This model utilizes two LB equations, one of which is used to solve the conservative Allen-Cahn equation, and the other is adopted to solve the incompressible Navier-Stokes equations. A forcing distribution function is elaborately designed in the LB equation for the Navier-Stokes equations, which make it much simpler than the existing LB models. In addition, the proposed model can achieve superior numerical accuracy compared with previous Allen-Cahn type of LB models. Several benchmark two-phase problems, including static droplet, layered Poiseuille flow, and spinodal decomposition are simulated to validate the present LB model. It is found that the present model can achieve relatively small spurious velocity in the LB community, and the obtained numerical results also show good agreement with the analytical solutions or some available results. Lastly, we use the present model to investigate the droplet impact on a thin liquid film with a large density ratio of 1000 and the Reynolds number ranging from 20 to 500. The fascinating phenomena of droplet splashing is success...Continue Reading

References

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Citations

Sep 19, 2020·Physical Review. E·Amirhosein BegmohammadiDiogo Bolster
Aug 17, 2020·Physical Review. E·Binghai WenXiaowen Shan
Jun 25, 2020·Physical Review. E·Yongfeng XiongXi-Yun Lu
Jun 18, 2021·Physical Review. E·Makoto SugimotoKazuhiko Suga

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