%0 Journal Article
%T Time-Harmonic Acoustic Scattering in a Complex Flow: a Full Coupling Between Acoustics and Hydrodynamics
%+ Propagation des Ondes : Étude Mathématique et Simulation (POEMS)
%+ CERFACS [Toulouse]
%A Bonnet-Ben Dhia, Anne-Sophie
%A Mercier, Jean-François
%A Millot, Florence
%A Pernet, Sébastien
%A Peynaud, Emilie
%< avec comité de lecture
%@ 1815-2406
%J Communications in Computational Physics
%I Global Science Press
%V 11
%N 2
%P 555-572
%8 2012-02
%D 2012
%R 10.4208/cicp.221209.030111s
%Z Physics [physics]Journal articles
%X For the numerical simulation of time harmonic acoustic scattering in a complex geometry, in presence of an arbitrary mean flow, the main difficulty is the coexistence and the coupling of two very different phenomena: acoustic propagation and convection of vortices. We consider a linearized formulation coupling an augmented Galbrun equation (for the perturbation of displacement) with a time harmonic convection equation (for the vortices). We first establish the well-posedness of this time harmonic convection equation in the appropriate mathematical framework. Then the complete problem, with Perfectly Matched Layers at the artificial boundaries, is proved to be coercive + compact, and a hybrid numerical method for the solution is proposed, coupling finite elements for the Galbrun equation and a Discontinuous Galerkin scheme for the convection equation. Finally a 2D numerical result shows the efficiency of the method.
%G English
%L hal-00970817
%U https://hal-ensta-paris.archives-ouvertes.fr/hal-00970817
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