New constructions of perfectly matched layers for the linearized Euler equations

Frédéric Nataf

doi:10.1016/j.crma.2005.04.013

Numerical Analysis

New constructions of perfectly matched layers for the linearized Euler equations

Presented by: Olivier Pironneau

Frédéric Nataf ¹

¹ CMAP, École polytechnique, 91128 Palaiseau cedex, France

Comptes Rendus. Mathématique, Volume 340 (2005) no. 10, pp. 775-778.

Abstract
Résumé

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.

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.

Received: 2005-02-03
Accepted: 2005-04-05
Published online: 2005-05-10

DOI: 10.1016/j.crma.2005.04.013

Author's affiliations:

Frédéric Nataf ¹

¹ CMAP, École polytechnique, 91128 Palaiseau cedex, France

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     title = {New constructions of perfectly matched layers for the linearized {Euler} equations},
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Frédéric Nataf. New constructions of perfectly matched layers for the linearized Euler equations. Comptes Rendus. Mathématique, Volume 340 (2005) no. 10, pp. 775-778. doi : 10.1016/j.crma.2005.04.013. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2005.04.013/

References
Cited by

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[4] Th. Hagstrom A new construction of perfectly matched layers for hyperbolic systems with applications to the linearized Euler equations, Mathematical and Numerical Aspects of Wave Propagation—WAVES 2003, Springer, 2003, pp. 125-129

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

[6] A.N. Rahmouni An algebraic method to develop well-posed PML models. Absorbing layers, perfectly matched layers, linearized Euler equations, J. Comput. Phys., Volume 197 (2004) no. 1, pp. 99-115

[7] J.T. Wloka; B. Rowley; B. Lawruk Boundary Value Problems for Elliptic Systems, Cambridge University Press, Cambridge, 1995

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