Acoustic propagation in a flow: numerical simulation of the time-harmonic regime
ESAIM. Proceedings, Tome 22 (2008), pp. 1-14
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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.
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},
year = {2008},
volume = {22},
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 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 %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
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