Perfectly matched layers for the convected Helmholtz equation - Archive ouverte HAL Access content directly
Reports (Research Report) Year : 2003

Perfectly matched layers for the convected Helmholtz equation

(1) , (1) , (1)
1

Abstract

In this paper, we propose and analyze perfectly matched absorbing layers for a problem of time harmonic acoustic waves propagating in a duct in presence of a uniform flow. The absorbing layers are designed for the pressure field, satisfying the convected scalar Helmholtz equation. A difficulty, compared to the Helmholtz equation, comes from the presence of so-called inverse upstream modes which become unstable, instead of evanescent, with the classical Bérenger's PMLs. We introduce here a new PML model which makes all outgoing waves evanescent. We then analyse the error due to the truncation of the domain and prove that the convergence is exponential with respect to the size of the layers, for both the classical and the new PML models. Numerical validations are finally presented.
Fichier principal
Vignette du fichier
RR-4690.pdf (1.05 Mo) Télécharger le fichier

Dates and versions

inria-00071896 , version 1 (23-05-2006)

Identifiers

  • HAL Id : inria-00071896 , version 1

Cite

Eliane Bécache, Anne-Sophie Bonnet-Ben Dhia, Guillaume Legendre. Perfectly matched layers for the convected Helmholtz equation. [Research Report] RR-4690, INRIA. 2003. ⟨inria-00071896⟩
127 View
743 Download

Share

Gmail Facebook Twitter LinkedIn More