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

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

ONERA Office National d'Etudes et Recherches Aerospatiales

Research output: Contribution to journal › Article › peer-review

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.

Translated title of the contribution	Analyse mathématique de l'équation de Galbrun en écoulement uniforme
Original language	English
Pages (from-to)	601-606
Number of pages	6
Journal	Comptes Rendus de l'Academie de Sciences - Serie IIb: Mecanique
Volume	329
Issue number	8
DOIs	https://doi.org/10.1016/S1620-7742(01)01373-3
Publication status	Published - 1 Jan 2001

Keywords

Acoustics
Aeroacoustics
Regularization
Variational method

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10.1016/S1620-7742(01)01373-3

Cite this

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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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AU - Bonnet-Ben Dhia, Anne Sophie

AU - Legendre, Guillaume

AU - Lunéville, Éric

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N2 - 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.

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.

KW - Acoustics

KW - Aeroacoustics

KW - Regularization

KW - Variational method

U2 - 10.1016/S1620-7742(01)01373-3

DO - 10.1016/S1620-7742(01)01373-3

M3 - Article

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SN - 1620-7742

VL - 329

SP - 601

EP - 606

JO - Comptes Rendus de l'Academie de Sciences - Serie IIb: Mecanique

JF - Comptes Rendus de l'Academie de Sciences - Serie IIb: Mecanique

IS - 8

ER -

Mathematical analysis of Galbrun's equation with uniform flow

Abstract

Keywords

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