Error analysis of a decoupled, linear and stable finite element method for Cahn-Hilliard-Navier-Stokes equations

被引：4
|
作者：
Chen, Yaoyao [1 ]
Huang, Yunqing [2 ]
Yi, Nianyu [3 ]
机构：
[1] Anhui Normal Univ, Sch Math & Stat, Wuhu 241000, Anhui, Peoples R China
[2] Xiangtan Univ, Sch Math & Computat Sci, Minist Educ, Key Lab Intelligent Comp & Informat Proc, Xiangtan 411105, Hunan, Peoples R China
[3] Xiangtan Univ, Sch Math & Computat Sci, Hunan Key Lab Computat & Simulat Sci & Engn, Xiangtan 411105, Hunan, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2022年 / 421卷
关键词：
Cahn-Hilliard equation; Navier-Stokes equation; Projections; Error analysis; PHASE-FIELD MODELS; NUMERICAL SCHEME; ALLEN-CAHN; ENERGY; 2ND-ORDER; TIME; APPROXIMATIONS;
D O I：
10.1016/j.amc.2022.126928
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we carry out the error analysis for a totally decoupled, linear and unconditionally energy stable finite element method to solve the Cahn-Hilliard-Navier-Stokes equations. The fully finite element scheme is based on a stabilization for Cahn-Hilliard equation and projection method for Navier-Stokes equation, as well as the first order Euler method for time discretization. A priori error analysis for phase field, velocity field and pressure variable are derived for the fully discrete scheme.(c) 2022 Elsevier Inc. All rights reserved.
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页数：17
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