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Invited Review | Open Access

A brief review of the phase-field-based lattice Boltzmann method for multiphase flows

School of Mathematics and Computer Science, Wuhan Textile University, Wuhan 430073, P. R. China
School of Mathematics and Statics, Huazhong University of Science and Technology, Wuhan 430074, P. R. China
Department of Physics, Hangzhou Dianzi University, Hangzhou 310018, P. R. China
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Abstract

In this paper, we present a brief overview of the phase-field-based lattice Boltzmann method (LBM) that is a distinct and efficient numerical algorithm for multiphase flow problems. We first give an introduction to the mathematical theory of phase-field models for multiphase flows, and then present some recent progress on the LBM for the phase-field models which are composed of the classic Navier-Stokes equations and the Cahn-Hilliard or Allen-Cahn equation. Finally, some applications of the phase-field-based LBM are also discussed.

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Capillarity
Pages 33-52
Cite this article:
Wang H, Yuan X, Liang H, et al. A brief review of the phase-field-based lattice Boltzmann method for multiphase flows. Capillarity, 2019, 2(3): 33-52. https://doi.org/10.26804/capi.2019.03.01

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Received: 09 May 2019
Revised: 01 June 2019
Accepted: 02 June 2019
Published: 07 June 2019
© The Author(s) 2019

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