Régularisation de l'équation de Galbrun pour l'aéroacoustique en régime transitoire

Anne Sophie Bonnet-Bendhia 1 Kamel Berriri 1 Patrick Joly 1
1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231
Abstract : In this paper we are interested in the mathematical and numerical analysis of the timedependent Galbrun equation in a rigid duct. This equation modelizes the acoustic propagation in presence of flow. We prove the well-posedness of the problem for a subsonic uniform flow. Besides, we propose a regularized variational formulation of the problem suitable for an approximation by Lagrange finite elements.
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Anne Sophie Bonnet-Bendhia, Kamel Berriri, Patrick Joly. Régularisation de l'équation de Galbrun pour l'aéroacoustique en régime transitoire. Revue Africaine de la Recherche en Informatique et Mathématiques Appliquées, INRIA, 2006, 5, pp.65-79. ⟨hal-00979007v2⟩

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