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

Anne-Sophie Bonnet-Ben Dhia 1 Eve-Marie Duclairoir 1 Jean-François Mercier 1 
1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231
Abstract : 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.
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Submitted on : Thursday, April 10, 2014 - 3:44:25 PM
Last modification on : Wednesday, May 11, 2022 - 12:06:04 PM

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Anne-Sophie Bonnet-Ben Dhia, Eve-Marie Duclairoir, Jean-François Mercier. Acoustic propagation in a flow: numerical simulation of the time-harmonic regime.. ESAIM: Proceedings, 2007, 22, pp.1-14. ⟨10.1051/proc:072201⟩. ⟨hal-00976953⟩



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