no. 10
Numerical Analysis
New constructions of perfectly matched layers for the linearized Euler equations
[Nouvelles constructions de couches parfaitement adaptées pour le systéme d'Euler linéarisé]

Présenté par : Olivier Pironneau

Nataf, Frédéric1
1 CMAP, École polytechnique, 91128 Palaiseau cedex, France
Comptes Rendus. Mathématique, Tome 340 (2005) no. 10, pp. 775-778.

A partir d'une couche adaptée pour l'équation des ondes advectives, nous proposons deux modèles de telles couches pour les équations d'Euler linéarisées. La construction du premier modèle peut être appliqué à d'autres systèmes d'équations aux dérivées partielles. Le second modèle a été implémenté. Des résultats numériques illustrent l'intérêt de cette construction.

Based on a PML for the advective wave equation, we propose two PML models for the linearized Euler equations. The derivation of the first model can be applied to other physical models. The second model was implemented. Numerical results are shown.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2005.04.013
Nataf, Frédéric 1

1 CMAP, École polytechnique, 91128 Palaiseau cedex, France 
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Nataf, Frédéric. New constructions of perfectly matched layers for the linearized Euler equations. Comptes Rendus. Mathématique, Tome 340 (2005) no. 10, pp. 775-778. doi : 10.1016/j.crma.2005.04.013. http://www.numdam.org/articles/10.1016/j.crma.2005.04.013/

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[5] Nataf, F. A new construction of perfectly matched layers for the linearized Euler equations http://www.cmap.polytechnique.fr/preprint/repository/566.pdf (submitted for publication)

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