Perfectly matched layers for time-harmonic acoustics in the presence of a uniform flow - Archive ouverte HAL Access content directly
Journal Articles SIAM Journal on Numerical Analysis Year : 2006

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 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 absorption 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. © 2006 Society for Industrial and Applied Mathematics.

Dates and versions

hal-00876236 , version 1 (31-10-2013)

Identifiers

Cite

Eliane Bécache, Anne-Sophie Bonnet-Ben Dhia, Guillaume Legendre. Perfectly matched layers for time-harmonic acoustics in the presence of a uniform flow. SIAM Journal on Numerical Analysis, 2006, 44 (3), pp.1191-1217. ⟨10.1137/040617741⟩. ⟨hal-00876236⟩
136 View
0 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More