Mathematical analysis of Galbrun's equation with uniform flow

Anne Sophie Bonnet-Ben Dhia; Guillaume Legendre; Éric Lunéville

doi:10.1016/S1620-7742(01)01373-3

Mathematical analysis of Galbrun's equation with uniform flow

Titre traduit de la contribution: Analyse mathématique de l'équation de Galbrun en écoulement uniforme

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Résumé

We consider Galbrun's equation, used in linear aeroacoustics. For a simple case (rigid duct with uniform flow) in the time harmonic regime, we show that an approach based on a regularized variational formulation of the problem ensures the convergence of a nodal finite-element method.

Titre traduit de la contribution	Analyse mathématique de l'équation de Galbrun en écoulement uniforme
langue originale	Anglais
Pages (de - à)	601-606
Nombre de pages	6
journal	Comptes Rendus de l'Academie de Sciences - Serie IIb: Mecanique
Volume	329
Numéro de publication	8
Les DOIs	https://doi.org/10.1016/S1620-7742(01)01373-3
état	Publié - 1 janv. 2001

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10.1016/S1620-7742(01)01373-3

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title = "Mathematical analysis of Galbrun's equation with uniform flow",

abstract = "We consider Galbrun's equation, used in linear aeroacoustics. For a simple case (rigid duct with uniform flow) in the time harmonic regime, we show that an approach based on a regularized variational formulation of the problem ensures the convergence of a nodal finite-element method.",

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AB - We consider Galbrun's equation, used in linear aeroacoustics. For a simple case (rigid duct with uniform flow) in the time harmonic regime, we show that an approach based on a regularized variational formulation of the problem ensures the convergence of a nodal finite-element method.

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KW - Aeroacoustics

KW - Regularization

KW - Variational method

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Mathematical analysis of Galbrun's equation with uniform flow

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