@Article{CiCP-11-555,
author = {A. S. Bonnet-Ben Dhia, J. F. Mercier, F. Millot, S. Pernet and E. Peynaud},
title = {Time-Harmonic Acoustic Scattering in a Complex Flow: A Full Coupling Between Acoustics and Hydrodynamics},
journal = {Communications in Computational Physics},
year = {2012},
volume = {11},
number = {2},
pages = {555--572},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.221209.030111s},
url = {http://global-sci.org/intro/article_detail/cicp/7378.html}
}