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Time-harmonic acoustic propagation in the presence of a shear flow

Anne-Sophie Bonnet-Ben Dhia 1 Ève-Marie Duclairoir 1 Guillaume Legendre 1 Jean-François Mercier 1 
1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231
Abstract : This work deals with the numerical simulation, by means of a finite element method, of the time-harmonic propagation of acoustic waves in a moving fluid, using the Galbrun equation instead of the classical linearized Euler equations. This work extends a previous study in the case of a uniform flow to the case of a shear flow. The additional difficulty comes from the interaction between the propagation of acoustic waves and the convection of vortices by the fluid. We have developed a numerical method based on the regularization of the equation which takes these two phenomena into account. Since it leads to a partially full matrix, we use an iterative algorithm to solve the linear system. © 2006 Elsevier B.V. All rights reserved.
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Submitted on : Friday, October 25, 2013 - 1:42:34 PM
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Anne-Sophie Bonnet-Ben Dhia, Ève-Marie Duclairoir, Guillaume Legendre, Jean-François Mercier. Time-harmonic acoustic propagation in the presence of a shear flow. Journal of Computational and Applied Mathematics, Elsevier, 2007, 204 (2 SPEC. ISS.), pp.428-439. ⟨10.1016/⟩. ⟨hal-00876232⟩



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