# Perfectly Matched Layers for Time-Harmonic Acoustics in the Presence of a Uniform Flow

@article{Bcache2006PerfectlyML, title={Perfectly Matched Layers for Time-Harmonic Acoustics in the Presence of a Uniform Flow}, author={{\'E}liane B{\'e}cache and Anne-Sophie Bonnet-Ben Dhia and Guillaume Legendre}, journal={SIAM J. Numer. Anal.}, year={2006}, volume={44}, pages={1191-1217} }

This paper is devoted to the resolution of the time-harmonic linearized Galbrun equation, which models, via a mixed Lagrangian--Eulerian representation, the propagation of acoustic and hydrodynamic perturbations in a given flow of a compressible fluid. We consider here the case of a uniform subsonic flow in an infinite, two-dimensional duct. Using a limiting absorption process, we characterize the outgoing solution radiated by a compactly supported source. Then we propose a Fredholm formulation…

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## 43 Citations

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