Geodesic
Finite element approximation of a Cahn–Hilliard–Navier–Stokes system
David Kay1 ; Vanessa Styles2 ; Richard Welford1
1University of Sussex, Brighton, United Kingdom
2University of Sussex, Brighton, UK
Interfaces and free boundaries, Tome 10 (2008) no. 1, pp. 15-43

Voir la notice de l'article provenant de la source EMS Press

DOI

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.
DOI : 10.4171/ifb/178
Classification : 35-XX, 65-XX, 76-XX, 92-XX

David Kay  1   ; Vanessa Styles  2   ; Richard Welford  1

1 University of Sussex, Brighton, United Kingdom
2 University of Sussex, Brighton, UK 
David Kay; Vanessa Styles; Richard Welford. Finite element approximation of a Cahn–Hilliard–Navier–Stokes system. Interfaces and free boundaries, Tome 10 (2008) no. 1, pp. 15-43. doi: 10.4171/ifb/178
@article{10_4171_ifb_178,
     author = {David Kay and Vanessa Styles and Richard Welford},
     title = {Finite element approximation of a {Cahn{\textendash}Hilliard{\textendash}Navier{\textendash}Stokes} system},
     journal = {Interfaces and free boundaries},
     pages = {15--43},
     year = {2008},
     volume = {10},
     number = {1},
     doi = {10.4171/ifb/178},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/178/}
}
TY  - JOUR
AU  - David Kay
AU  - Vanessa Styles
AU  - Richard Welford
TI  - Finite element approximation of a Cahn–Hilliard–Navier–Stokes system
JO  - Interfaces and free boundaries
PY  - 2008
SP  - 15
EP  - 43
VL  - 10
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4171/ifb/178/
DO  - 10.4171/ifb/178
ID  - 10_4171_ifb_178
ER  - 
%0 Journal Article
%A David Kay
%A Vanessa Styles
%A Richard Welford
%T Finite element approximation of a Cahn–Hilliard–Navier–Stokes system
%J Interfaces and free boundaries
%D 2008
%P 15-43
%V 10
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4171/ifb/178/
%R 10.4171/ifb/178
%F 10_4171_ifb_178

Cité par Sources :