Level-set lattice Boltzmann method for interface-resolved simulations of immiscible two-phase flow

作     者：Shaotong Fu Zikang Hao Weite Su Huahai Zhang Limin Wang 

作者机构：State Key Laboratory of Mesoscience and Engineering Institute of Process Engineering Chinese Academy of Sciences Beijing 100190 China School of Chemical Engineering University of Chinese Academy of Sciences Beijing 100049 China. 

出 版 物：《Physical Review E》 (Phys. Rev. E)

年 卷 期：2024年第110卷第4期

页      面：045309页

核心收录：

基　　金：IPE Project for Frontier Basic Research, (QYJC-2023–01) Chinese Academy of Sciences, CAS, (XDA0390501) Chinese Academy of Sciences, CAS State Key Laboratory of Mesoscience and Engineering, (MESO-23-A07, MESO-23-D01) National Natural Science Foundation of China, NSFC, (T2394501) National Natural Science Foundation of China, NSFC 

主　　题：Drop & bubble phenomena Multiphase flows Rayleigh-Taylor instability Drops & bubbles Viscosity Direct numerical simulations Lattice-Boltzmann methods Navier-Stokes equation 

摘      要：A lattice Boltzmann (LB) scheme for a level-set equation is proposed to capture interface and is coupled with the LB model for incompressible fluid to simulate immiscible two-phase flows. The reinitialization of a level-set field is achieved directly by adding a source term to LB equation, which avoids solving an additional partial differential equation as required in traditional level-set methods. Compared to the classical phase-field lattice Boltzmann method, the proposed approach demonstrates significantly reduced errors in solving interface motion and deformation. Furthermore, GPU parallel computation is implemented for the level-set lattice Boltzmann method (LS-LBM) to enhance computational efficiency. To validate the LS-LBM, it is employed to simulate four benchmark problems: static droplet, layered Poiseuille flow, rising bubble, and Rayleigh-Taylor instability. Numerical results show that LS-LBM exhibits good stability, accuracy and high efficiency, demonstrating its feasibility for accurate simulations of immiscible two-phase flows, even with large density ratios or high Reynolds numbers.