Finite element approximation of a Cahn-Hilliard-Navier-Stokes system

被引：0

作者：

Kay, David ^{[1
]}

Styles, Vanessa ^{[2
]}

Welford, Richard ^{[2
]}

机构：

[1] Univ Oxford, Comp Lab, Oxford OX1 3QD, England

[2] Univ Sussex, Dept Math, Brighton BN1 9RF, E Sussex, England

来源：

INTERFACES AND FREE BOUNDARIES | 2008年 / 10卷 / 01期

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a semi-discrete and a practical fully discrete finite element approximation of a Cahn-Hilliard-Navier-Stokes system. This system arises in the modelling of multiphase fluid systems. We show order h error estimate between the solution of the system and the solution of the semi-discrete approximation. We also show the convergence of the fully discrete approximation. Finally, we present an efficient implementation of the fully discrete scheme together with some numerical simulations.

引用

页码：15 / 43

页数：29

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