A low Mach model for time harmonic acoustics in arbitrary flows - Archive ouverte HAL Access content directly
Journal Articles Journal of Computational and Applied Mathematics Year : 2010

A low Mach model for time harmonic acoustics in arbitrary flows

(1, 2) , (1) , (2) , (2)
1
2

Abstract

This paper concerns the finite element simulation of the diffraction of a time-harmonic acoustic wave in the presence of an arbitrary mean flow. Considering the equation for the perturbation of displacement (due to Galbrun), we derive a low-Mach number formulation of the problem which is proved to be of Fredholm type and is therefore well suited for discretization by classical Lagrange finite elements. Numerical experiments are done in the case of a potential flow for which an exact approach is available, and a good agreement is observed.

Dates and versions

hal-00975078 , version 1 (07-04-2014)

Identifiers

Cite

Anne-Sophie Bonnet-Ben Dhia, Jean-François Mercier, Florence Millot, Sébastien Pernet. A low Mach model for time harmonic acoustics in arbitrary flows. Journal of Computational and Applied Mathematics, 2010, 234 (6), pp.1868-1875. ⟨10.1016/j.cam.2009.08.038⟩. ⟨hal-00975078⟩
115 View
0 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More