Analysis of a Linearized Energy Stable Numerical Scheme for a Modified Incompressible Cahn-Hilliard-Navier-Stokes System  

作　　者：Xue WANG Hong-en JIA Ming LI Kai-tai LI 

机构地区：[1]School of Mathematics and Statistics,Wuhan University,Wuhan 430072,China [2]College of Mathematics,Taiyuan University of Technology,Taiyuan 030024,China [3]College of Data Science,Taiyuan University of Technology,Taiyuan 030024,China [4]School of Mathematics and Statistics,Xi'an Jiaotong University,Xi'an 710049,China

出　　处：《Acta Mathematicae Applicatae Sinica》2023年第3期605-622,共18页应用数学学报（英文版）

基　　金：Supported by the Provincial Natural Science Foundation of Shanxi(No.201901D111123);Key Research and Development(R&D)Projects of Shanxi Province(No.201903D121038)。

摘　　要：In this paper,a linearized energy stable numerical scheme is used to solve the modified Cahn-Hilliard-Navier-Stokes model,which is a phase-field model for two-phase incompressible flows.The time discretization is based on the convex splitting of the energy functional,which leads to a linearized system.In order to maintain the energy stability,the definition domain of energy function is extended to infinity.The stability of the scheme is proved and the error estimate is given.Numerical experiments are done to demonstrate the effectiveness for the proposed scheme.

关 键 词：convex splitting two-phase incompressible flow energy stability mixed finite element NAVIER-STOKES 

分 类 号：O241.82[理学—计算数学]