Geodesic
OSAMOAL: Optimized Simulations by Adapted MOdels using Asymptotic Limits
Anne-Céline Boulanger1 ; Clément Cancès2 ; Hélène Mathis3 ; Khaled Saleh2 ; Nicolas Seguin2
1INRIA Paris-Rocquencourt, Équipe-projet BANG, Domaine de Voluceau, 78153, Le Chesnay, France
2UPMC Univ Paris 06 & CNRS, UMR 7598, Laboratoire Jacques-Louis Lions, F-75005, Paris, France
3Université de Nantes, Laboratoire de mathématiques Jean Leray, 2 rue de la Houssinière, 44322 Nantes, France
ESAIM. Proceedings, Tome 38 (2012), pp. 183-201
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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},
     year = {2012},
     volume = {38},
     doi = {10.1051/proc/201238010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201238010/}
}
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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

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