Geodesic
OSAMOAL: Optimized Simulations by Adapted MOdels using Asymptotic Limits
Anne-Céline Boulanger1 ; Clément Cancès2 ; Hélène Mathis3 ; Khaled Saleh2 ; Nicolas Seguin2
1 INRIA Paris-Rocquencourt, Équipe-projet BANG, Domaine de Voluceau, 78153, Le Chesnay, France
2 UPMC Univ Paris 06 & CNRS, UMR 7598, Laboratoire Jacques-Louis Lions, F-75005, Paris, France
3 Université de Nantes, Laboratoire de mathématiques Jean Leray, 2 rue de la Houssinière, 44322 Nantes, France
ESAIM. Proceedings, Tome 38 (2012), pp. 183-201.

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

We propose in this work to address the problem of model adaptation, dedicated to hyperbolic models with relaxation and to their parabolic limit. The goal is to replace a hyperbolic system of balance laws (the so-called fine model) by its parabolic limit (the so-called coarse model), in delimited parts of the computational domain. Our method is based on the construction of asymptotic preserving schemes and on interfacial coupling methods between hyperbolic and parabolic models. We study in parallel the cases of the Goldstein-Taylor model and of the p-system with friction.
DOI : 10.1051/proc/201238010

Anne-Céline Boulanger 1 ; Clément Cancès 2 ; Hélène Mathis 3 ; Khaled Saleh 2 ; Nicolas Seguin 2

1 INRIA Paris-Rocquencourt, Équipe-projet BANG, Domaine de Voluceau, 78153, Le Chesnay, France
2 UPMC Univ Paris 06 & CNRS, UMR 7598, Laboratoire Jacques-Louis Lions, F-75005, Paris, France
3 Université de Nantes, Laboratoire de mathématiques Jean Leray, 2 rue de la Houssinière, 44322 Nantes, France 
@article{EP_2012_38_a9,
     author = {Anne-C\'eline Boulanger and Cl\'ement Canc\`es and H\'el\`ene Mathis and Khaled Saleh and Nicolas Seguin},
     title = {OSAMOAL: {Optimized} {Simulations} by {Adapted} {MOdels} using {Asymptotic} {Limits}},
     journal = {ESAIM. Proceedings},
     pages = {183--201},
     publisher = {mathdoc},
     volume = {38},
     year = {2012},
     doi = {10.1051/proc/201238010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201238010/}
}
TY  - JOUR
AU  - Anne-Céline Boulanger
AU  - Clément Cancès
AU  - Hélène Mathis
AU  - Khaled Saleh
AU  - Nicolas Seguin
TI  - OSAMOAL: Optimized Simulations by Adapted MOdels using Asymptotic Limits
JO  - ESAIM. Proceedings
PY  - 2012
SP  - 183
EP  - 201
VL  - 38
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1051/proc/201238010/
DO  - 10.1051/proc/201238010
LA  - en
ID  - EP_2012_38_a9
ER  - 
%0 Journal Article
%A Anne-Céline Boulanger
%A Clément Cancès
%A Hélène Mathis
%A Khaled Saleh
%A Nicolas Seguin
%T OSAMOAL: Optimized Simulations by Adapted MOdels using Asymptotic Limits
%J ESAIM. Proceedings
%D 2012
%P 183-201
%V 38
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1051/proc/201238010/
%R 10.1051/proc/201238010
%G en
%F EP_2012_38_a9
Anne-Céline Boulanger; Clément Cancès; Hélène Mathis; Khaled Saleh; Nicolas Seguin. OSAMOAL: Optimized Simulations by Adapted MOdels using Asymptotic Limits. ESAIM. Proceedings, Tome 38 (2012), pp. 183-201. doi : 10.1051/proc/201238010. http://geodesic.mathdoc.fr/articles/10.1051/proc/201238010/

Cité par Sources :