Galbrun based numerical scheme to compute time-harmonic scattering in an arbitrary mean flow

Anne-Sophie Bonnet-BenDhia, Jean-François Mercier, Florence Millot,
Sébastien Pernet and Emilie Peynaud
2011
Type de publication :
Conférence internationale avec actes
Conférence :
17th AIAA/CEAS Aeroacoustics Conference (32nd AIAA Aeroacoustics Conference)
Editeur :
American Institute of Aeronautics and Astronautics
Résumé :
For the numerical simulation of time-harmonic acoustic scattering in a complex geom- etry, in presence of an arbitrary mean ow, the main diculty is the coexistence and the coupling of two very di erent 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). In addition, the computational region is truncated by means of Perfectly Matched Layers at arti cial boundaries. We implemented a hybrid numerical method which consists in coupling nite elements for the Galbrun equation and a Discontinuous Galerkin scheme for the convection equation. Finally, numerical tests show the eciency of the method.
BibTeX : 
@inproceedings{Bon-Mer-Mil-Per-Pey-2011,
    author={Anne-Sophie Bonnet-BenDhia and Jean-François Mercier and 
           Florence Millot and Sébastien Pernet and Emilie Peynaud },
    title={Galbrun based numerical scheme to compute time-harmonic 
           scattering in an arbitrary mean flow },
    organization={17th AIAA/CEAS Aeroacoustics Conference (32nd AIAA 
           Aeroacoustics Conference) },
    year={2011 },
    publisher={American Institute of Aeronautics and Astronautics },
}