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
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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.
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页码：15 / 43
页数：29
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