Geodesic
A diffuse interface model for quasi–incompressible flows : Sharp interface limits and numerics, ,
Gonca Aki1 ; Johannes Daube2 ; Wolfgang Dreyer1 ; Jan Giesselmann3 ; Mirko Kränkel2 ; Christiane Kraus1
1 Weierstrass Institute for Applied Analysis and Stochastics, Berlin, Germany
2 Department of Mathematics, University of Freiburg, Germany
3 ACMAC, University of Crete, Greece
ESAIM. Proceedings, Tome 38 (2012), pp. 54-77.

Voir la notice de l'article provenant de la source EDP Sciences

In this contribution, we investigate a diffuse interface model for quasi–incompressible flows. We determine corresponding sharp interface limits of two different scalings. The sharp interface limit is deduced by matched asymptotic expansions of the fields in powers of the interface. In particular, we study solutions of the derived system of inner equations and discuss the results within the general setting of jump conditions for sharp interface models. Furthermore, we treat, as a subproblem, the convective Cahn–Hilliard equation numerically by a Local Discontinuous Galerkin scheme.
DOI : 10.1051/proc/201238004

Gonca Aki 1 ; Johannes Daube 2 ; Wolfgang Dreyer 1 ; Jan Giesselmann 3 ; Mirko Kränkel 2 ; Christiane Kraus 1

1 Weierstrass Institute for Applied Analysis and Stochastics, Berlin, Germany
2 Department of Mathematics, University of Freiburg, Germany
3 ACMAC, University of Crete, Greece 
@article{EP_2012_38_a3,
     author = {Gonca Aki and Johannes Daube and Wolfgang Dreyer and Jan Giesselmann and Mirko Kr\"ankel and Christiane Kraus},
     title = {A diffuse interface model for quasi{\textendash}incompressible flows : {Sharp} interface limits and numerics, ,},
     journal = {ESAIM. Proceedings},
     pages = {54--77},
     publisher = {mathdoc},
     volume = {38},
     year = {2012},
     doi = {10.1051/proc/201238004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201238004/}
}
TY  - JOUR
AU  - Gonca Aki
AU  - Johannes Daube
AU  - Wolfgang Dreyer
AU  - Jan Giesselmann
AU  - Mirko Kränkel
AU  - Christiane Kraus
TI  - A diffuse interface model for quasi–incompressible flows : Sharp interface limits and numerics, ,
JO  - ESAIM. Proceedings
PY  - 2012
SP  - 54
EP  - 77
VL  - 38
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1051/proc/201238004/
DO  - 10.1051/proc/201238004
LA  - en
ID  - EP_2012_38_a3
ER  - 
%0 Journal Article
%A Gonca Aki
%A Johannes Daube
%A Wolfgang Dreyer
%A Jan Giesselmann
%A Mirko Kränkel
%A Christiane Kraus
%T A diffuse interface model for quasi–incompressible flows : Sharp interface limits and numerics, ,
%J ESAIM. Proceedings
%D 2012
%P 54-77
%V 38
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1051/proc/201238004/
%R 10.1051/proc/201238004
%G en
%F EP_2012_38_a3
Gonca Aki; Johannes Daube; Wolfgang Dreyer; Jan Giesselmann; Mirko Kränkel; Christiane Kraus. A diffuse interface model for quasi–incompressible flows : Sharp interface limits and numerics, ,. ESAIM. Proceedings, Tome 38 (2012), pp. 54-77. doi : 10.1051/proc/201238004. http://geodesic.mathdoc.fr/articles/10.1051/proc/201238004/

Cité par Sources :