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Journal articles
Time-Harmonic Acoustic Scattering in a Complex Flow: a Full Coupling Between Acoustics and Hydrodynamics
Abstract : 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.
https://hal-ensta-paris.archives-ouvertes.fr//hal-00970817
Contributor : Aurélien Arnoux Connect in order to contact the contributor
Submitted on : Wednesday, April 2, 2014 - 3:58:11 PM
Last modification on : Tuesday, October 19, 2021 - 7:00:55 PM
Contributor : Aurélien Arnoux Connect in order to contact the contributor
Submitted on : Wednesday, April 2, 2014 - 3:58:11 PM
Last modification on : Tuesday, October 19, 2021 - 7:00:55 PM