Acoustic propagation in a flow: numerical simulation of the time-harmonic regime. - Archive ouverte HAL Access content directly
Journal Articles ESAIM: Proceedings Year : 2007

Acoustic propagation in a flow: numerical simulation of the time-harmonic regime.

Abstract

We consider the time-harmonic acoustic radiation of a source in a moving fluid. The problem is set in a two-dimensional infinite duct and the mean flow is a subsonic parallel shear flow, with a regular profile. We deal with an equation (due to Galbrun) whose unknown is the displacement perturbation. We show how to solve the problem with a finite element method by writing a "regularized" or "augmented" formulation and using Perfectly Matched Layers to select the outgoing solution. Due to the presence of a non-local term coming from the regularization, an iterative process of resolution is preferred, which converges faster for weaker shear. Some mathematical results are established in the dissipative case. Numerical illustrations are finally presented.

Dates and versions

hal-00976953 , version 1 (10-04-2014)

Identifiers

Cite

Anne-Sophie Bonnet-Ben Dhia, Eve-Marie Duclairoir, Jean-François Mercier. Acoustic propagation in a flow: numerical simulation of the time-harmonic regime.. ESAIM: Proceedings, 2007, 22, pp.1-14. ⟨10.1051/proc:072201⟩. ⟨hal-00976953⟩
205 View
0 Download

Altmetric

Share

Gmail Facebook X LinkedIn More