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

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Date
2007
Dewey
Analyse
Sujet
Analyse; Aeroacoustics; Shear flow; Fredholm formulation; FEM
Journal issue
Journal of Computational and Applied Mathematics
Volume
204
Number
2
Publication date
07-2007
Article pages
428-439
Publisher
Elsevier
DOI
http://dx.doi.org/10.1016/j.cam.2006.02.048
URI
https://basepub.dauphine.fr/handle/123456789/1736
Collections
  • CEREMADE : Publications
Metadata
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Author
Mercier, Jean-François
Legendre, Guillaume
Duclairoir, Ève-Marie
Bonnet-Ben Dhia, Anne-Sophie
Type
Article accepté pour publication ou publié
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.

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