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

作　　者：Chuanjun Chen Xiaofeng Yang 

机构地区：[1]School of Mathematics and Information Sciences,Yantai University,Yantai 264005,China [2]Department of Mathematics,University of South Carolina,Columbia,SC 29208,USA

出　　处：《Science China Mathematics》2024年第9期2171-2194,共24页中国科学（数学）（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant No.12271468);Shandong Province Natural Science Foundation(Grant Nos.ZR2021ZD03 and ZR2021MA010);supported by National Science Foundation of USA(Grant No.DMS2012490)。

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.

关 键 词：finite element method decoupled scheme two-phase fow Cahn-Hilliard equation Navier-Stokes equations energystability 

分 类 号：O241.8[理学—计算数学]