Time-harmonic acoustic scattering in a complex flow: A full coupling between acoustics and hydrodynamics

Bonnet-Ben Dhia Anne-Sophie, Mercier Jean-François, Millot Florence, Pernet Sébastien, Peynaud Emilie. 2012. Time-harmonic acoustic scattering in a complex flow: A full coupling between acoustics and hydrodynamics. Communications in Computational Physics, 11 (2) : 555-572.

Quartile : Q1, Sujet : PHYSICS, MATHEMATICAL

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.

Mots-clés libres : Aeroacoustics, Scattering of sound in flows, Galbrun equation, Advection equation, Finite elements, Discontinuous Galerkin method

Auteurs et affiliations

• Bonnet-Ben Dhia Anne-Sophie, ENSTA (FRA) - auteur correspondant
• Mercier Jean-François, ENSTA (FRA)
• Millot Florence, CERFACS (FRA)
• Pernet Sébastien, CERFACS (FRA)
• Peynaud Emilie, CERFACS (FRA) ORCID: 0000-0002-2404-8098

Source : Cirad-Agritrop (https://agritrop.cirad.fr/613430/)

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