Titre : Time-Harmonic Acoustic Scattering in a Complex Flow: a Full Coupling Between Acoustics and Hydrodynamics
Année : 2012
Type : article (revue avec comité de lecture)
Auteurs : A.-S. Bonnet-BenDhia, J.-F. Mercier, F. Millot, S. Pernet, E. Peynaud
Résumé : 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.
Thèmes : Ondes harmoniques
Phénomènes couplés
Référence : Communications in Computational Physics - vol. 11(2) (pp 555-572 ) images/icons/doctype_pdf.gif