Acoustic propagation in a flow: numerical simulation of the time-harmonic regime

Anne-Sophie Bonnet-Ben Dhia; Eve-Marie Duclairoir; Jean-Francois Mercier

doi:10.1051/proc:072201

Geodesic

Parcourir par

Acoustic propagation in a flow: numerical simulation of the time-harmonic regime

Anne-Sophie Bonnet-Ben Dhia ^1,² ; Eve-Marie Duclairoir ¹ ; Jean-Francois Mercier ¹

¹ Laboratoire POEMS, UMR 2706, CNRS-ENSTA-INRIA, 32 Boulevard Victor, 75015 Paris, FRANCE. E-mail: Anne-Sophie.Bonnet-Bendhia@ensta.fr; E-mail: Eve-Marie.Duclairoir@ensta.fr; E-mail: Jean-Francois.Mercier@ensta.fr
² CERFACS, 42, Avenue Gaspard Coriolis, 31057 Toulouse Cedex 01, France

ESAIM. Proceedings, Tome 22 (2008), pp. 1-14.

Voir la notice de l'article provenant de la source EDP Sciences

Résumé

We consider the time-harmonic acoustic radiation of a source in a moving fluid. The problem is set in a two-dimensional infinite duct and the mean flow is a subsonic parallel shear flow, with a regular profile. We deal with an equation (due to Galbrun) whose unknown is the displacement perturbation. We show how to solve the problem with a finite element method by writing a “regularized” or “augmented” formulation and using Perfectly Matched Layers to select the outgoing solution. Due to the presence of a non-local term coming from the regularization, an iterative process of resolution is preferred, which converges faster for weaker shear. Some mathematical results are established in the dissipative case. Numerical illustrations are finally presented.

DOI : 10.1051/proc:072201

Affiliations des auteurs :

Anne-Sophie Bonnet-Ben Dhia ^{1, 2} ; Eve-Marie Duclairoir ¹ ; Jean-Francois Mercier ¹

@article{EP_2008_22_a1,
     author = {Anne-Sophie Bonnet-Ben Dhia and Eve-Marie Duclairoir and Jean-Francois Mercier},
     title = {Acoustic propagation in a flow: numerical simulation of the time-harmonic regime},
     journal = {ESAIM. Proceedings},
     pages = {1--14},
     publisher = {mathdoc},
     volume = {22},
     year = {2008},
     doi = {10.1051/proc:072201},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc:072201/}
}

TY  - JOUR
AU  - Anne-Sophie Bonnet-Ben Dhia
AU  - Eve-Marie Duclairoir
AU  - Jean-Francois Mercier
TI  - Acoustic propagation in a flow: numerical simulation of the time-harmonic regime
JO  - ESAIM. Proceedings
PY  - 2008
SP  - 1
EP  - 14
VL  - 22
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1051/proc:072201/
DO  - 10.1051/proc:072201
LA  - en
ID  - EP_2008_22_a1
ER  -

%0 Journal Article
%A Anne-Sophie Bonnet-Ben Dhia
%A Eve-Marie Duclairoir
%A Jean-Francois Mercier
%T Acoustic propagation in a flow: numerical simulation of the time-harmonic regime
%J ESAIM. Proceedings
%D 2008
%P 1-14
%V 22
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1051/proc:072201/
%R 10.1051/proc:072201
%G en
%F EP_2008_22_a1

Anne-Sophie Bonnet-Ben Dhia; Eve-Marie Duclairoir; Jean-Francois Mercier. Acoustic propagation in a flow: numerical simulation of the time-harmonic regime. ESAIM. Proceedings, Tome 22 (2008), pp. 1-14. doi : 10.1051/proc:072201. http://geodesic.mathdoc.fr/articles/10.1051/proc:072201/

Cité par Sources :