Publications
| 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 )  |
