ERROR ESTIMATES FOR A FULLY DISCRETIZED SCHEME TO A CAHN-HILLIARD PHASE-FIELD MODEL FOR TWO-PHASE INCOMPRESSIBLE FLOWS

被引：42

作者：

Cai, Yongyong ^{[1
]}

Shen, Jie ^{[2
,3
]}

机构：

[1] Beijing Computat Sci Res Ctr, Beijing 100193, Peoples R China

[2] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA

[3] Xiamen Univ, Sch Math Sci, Xiamen 360115, Peoples R China

来源：

MATHEMATICS OF COMPUTATION | 2018年 / 87卷 / 313期

基金：

美国国家科学基金会;

关键词：

FINITE-ELEMENT APPROXIMATIONS; DIFFUSE INTERFACE MODELS; PROJECTION METHODS; ALLEN-CAHN; FLUIDS;

D O I：

10.1090/mcom/3280

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we carry out a rigorous error analysis for a finite-element discretization of the linear, weakly coupled energy stable scheme introduced by Shen and Yang for a Cahn-Hilliard phase-field model of two-phase incompressible flows with matching density.

引用

页码：2057 / 2090

页数：34

共 27 条

[1] Diffuse-interface methods in fluid mechanics [J].

Anderson, DM ;

McFadden, GB ;

Wheeler, AA .

ANNUAL REVIEW OF FLUID MECHANICS, 1998, 30 :139-165

[2]

Choi H., NUMER MATH IN PRESS

[3] ANALYSIS OF A MIXED FINITE ELEMENT METHOD FOR A CAHN-HILLIARD-DARCY-STOKES SYSTEM [J].

Diegel, Amanda E. ;

Feng, Xiaobing H. ;

Wise, Steven M. .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 2015, 53 (01) :127-152

[4] Error analysis of a mixed finite element method for the Cahn-Hilliard equation [J].

Feng, XB ;

Prohl, A .

NUMERISCHE MATHEMATIK, 2004, 99 (01) :47-84

[5] Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows [J].

Feng, XB ;

Prohl, A .

NUMERISCHE MATHEMATIK, 2003, 94 (01) :33-65

[6] Analysis of finite element approximations of a phase field model for two-phase fluids [J].

Feng, Xiaobing ;

He, Yinnian ;

Liu, Chun .

MATHEMATICS OF COMPUTATION, 2007, 76 (258) :539-571

[7] Fully discrete finite element approximations of the Navier-Stokes-Cahn-Hilliard diffuse interface model for two-phase fluid flows [J].

Feng, Xiaobing .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 2006, 44 (03) :1049-1072

[8]

GLOwINSKI R., 2003, Handbook of Numerical Analysis, V9, P3, DOI DOI 10.1016/S1570-8659(03)09003-3

[9] ON CONVERGENT SCHEMES FOR DIFFUSE INTERFACE MODELS FOR TWO-PHASE FLOW OF INCOMPRESSIBLE FLUIDS WITH GENERAL MASS DENSITIES [J].

Gruen, G. .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 2013, 51 (06) :3036-3061

[10] On Fully Decoupled,Convergent Schemes for Diffuse Interface Models for Two-Phase Flow with General Mass Densities [J].

Gruen, Guenther ;

Guillen-Gonzalez, Francisco ;

Metzger, Stefan .

COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2016, 19 (05) :1473-1502

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