Efficient fully-decoupled and fully-discrete explicit-IEQ numerical algorithm for the two-phase incompressible flow-coupled Cahn-Hilliard phase-field model

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外文摘要：In this paper,an efficient fully-decoupled and fully-discrete numerical scheme with second-order temporal accuracy is developed to solve the incompressible hydrodynamically coupled Cahn-Hilliard model for simulating the two-phase fluid flow system.The scheme is developed by combining the finite element method for spatial discretization and several effective time marching approaches,including the pressure-correction projection method for dealing with fluid equations and the explicit-invariant energy quadratization(explicit-IEQ)approach for dealing with coupled nonlinear terms.The obtained scheme is very efficient since it only needs to solve several decoupled,linear elliptic equations with constant coefficients at each time step.We also strictly prove the solvability and unconditional energy stability of the scheme,and verify the accuracy and stability of the scheme through plenty of numerical examples.

外文关键词：

finite element methoddecoupled schemetwo-phase flowCahn-Hilliard equationNavier-Stokes equationsenergy stability

作者：

Chuanjun Chen、Xiaofeng Yang

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作者单位：

School of Mathematics and Information Sciences,Yantai University,Yantai 264005,China

Department of Mathematics,University of South Carolina,Columbia,SC 29208,USA

基金：

National Natural Science Foundation of ChinaShandong Province Natural Science FoundationShandong Province Natural Science FoundationNational Science Foundation of USA

项目编号：

12271468ZR2021ZD03ZR2021MA010DMS-2012490

出版年：

2024

DOI：

10.1007/s11425-022-2096-x

中国科学:数学(英文版)

中国科学院

中国科学:数学(英文版)

CSTPCD

影响因子：0.36

ISSN：1674-7283

年,卷(期)：2024.67(9)