Perfectly matched layers for time-harmonic acoustics in the presence of a uniform flow - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Reports (Research Report) Year : 2005

Perfectly matched layers for time-harmonic acoustics in the presence of a uniform flow

Abstract

This paper is devoted to the resolution of the time-harmonic linearized Galbrun's equation, which models, via a mixed Lagrangian-Eulerian representation, the propagation of acoustic and hydrodynamic perturbations in a given flow of a compressible fluid. We consider here the case of a uniform subsonic flow in an infinite, two-dimensional duct. Using a limiting amplitude process, we characterize the outgoing solution radiated by a compactly supported source. Then, we propose a Fredholm formulation with perfectly matched absorbing layers for approximating this outgoing solution. The convergence of the approximated solution to the exact one is proved, and error estimates with respect to the parameters of the absorbing layers are derived. Several significant numerical examples are included.
Fichier principal
Vignette du fichier
RR-5486.pdf (3.38 Mo) Télécharger le fichier
Loading...

Dates and versions

inria-00070521 , version 1 (19-05-2006)

Identifiers

  • HAL Id : inria-00070521 , version 1

Cite

Eliane Bécache, Anne-Sophie Bonnet-Ben Dhia, Guillaume Legendre. Perfectly matched layers for time-harmonic acoustics in the presence of a uniform flow. [Research Report] RR-5486, INRIA. 2005, pp.35. ⟨inria-00070521⟩
127 View
244 Download

Share

Gmail Facebook X LinkedIn More