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

Mercier, Jean-François; Legendre, Guillaume; Duclairoir, Ève-Marie; Bonnet-Ben Dhia, Anne-Sophie

Mercier, Jean-François; Legendre, Guillaume; Duclairoir, Ève-Marie; Bonnet-Ben Dhia, Anne-Sophie (2007), Time-harmonic acoustic propagation in the presence of a shear flow, Journal of Computational and Applied Mathematics, 204, 2, p. 428-439. http://dx.doi.org/10.1016/j.cam.2006.02.048

Type

Article accepté pour publication ou publié

Date

2007

Journal name

Journal of Computational and Applied Mathematics

Volume

204

Number

Publisher

Elsevier

Pages

428-439

Abstract (EN)

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.

Subjects / Keywords

Analyse; Aeroacoustics; Shear flow; Fredholm formulation; FEM