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

ONERA Office National d'Etudes et Recherches Aerospatiales

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

17 Citations (Scopus)

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

Access to Document

10.1016/S1620-7742(01)01373-3

Cite this

@article{dffbc5aad1114c1a950ce98f04b70140,

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.",

keywords = "Acoustics, Aeroacoustics, Regularization, Variational method",

author = "\{Bonnet-Ben Dhia\}, \{Anne Sophie\} and Guillaume Legendre and {\'E}ric Lun{\'e}ville",

year = "2001",

month = jan,

day = "1",

doi = "10.1016/S1620-7742(01)01373-3",

language = "English",

volume = "329",

pages = "601--606",

journal = "Comptes Rendus de l'Academie de Sciences - Serie IIb: Mecanique",

issn = "1620-7742",

publisher = "Elsevier B.V.",

number = "8",

}

TY - JOUR

T1 - Mathematical analysis of Galbrun's equation with uniform flow

AU - Bonnet-Ben Dhia, Anne Sophie

AU - Legendre, Guillaume

AU - Lunéville, Éric

PY - 2001/1/1

Y1 - 2001/1/1

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

AN - SCOPUS:0010208776

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

Access to Document

Fingerprint

Cite this