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Improved three-dimensional color-gradient lattice Boltzmann model for immiscible two-phase flows

Wen, ZX; Li, Q; Yu, Y; Luo, KH; (2019) Improved three-dimensional color-gradient lattice Boltzmann model for immiscible two-phase flows. Physical Review E , 100 (2) , Article 023301. 10.1103/PhysRevE.100.023301. Green open access

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Abstract

In this paper, an improved three-dimensional color-gradient lattice Boltzmann (LB) model is proposed for simulating immiscible two-phase flows. Compared with the previous three-dimensional color-gradient LB models, which suffer from the lack of Galilean invariance and considerable numerical errors in many cases owing to the error terms in the recovered macroscopic equations, the present model eliminates the error terms and therefore improves the numerical accuracy and enhances the Galilean invariance. To validate the proposed model, numerical simulations are performed. First, the test of a moving droplet in a uniform flow field is employed to verify the Galilean invariance of the improved model. Subsequently, numerical simulations are carried out for the layered two-phase flow and three-dimensional Rayleigh-Taylor instability. It is shown that, using the improved model, the numerical accuracy can be significantly improved in comparison with the color-gradient LB model without the improvements. Finally, the capability of the improved color-gradient LB model for simulating dynamic two-phase flows at a relatively large density ratio is demonstrated via the simulation of droplet impact on a solid surface.

Type: Article
Title: Improved three-dimensional color-gradient lattice Boltzmann model for immiscible two-phase flows
Open access status: An open access version is available from UCL Discovery
DOI: 10.1103/PhysRevE.100.023301
Publisher version: https://doi.org/10.1103/PhysRevE.100.023301
Language: English
Additional information: Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. https://creativecommons.org/licenses/by/4.0/
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Mechanical Engineering
URI: https://discovery.ucl.ac.uk/id/eprint/10080873
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