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A low-Mach number model for time-harmonic acoustics in arbitrary flows

✍ Scribed by A.S. Bonnet-Ben Dhia; J.F. Mercier; F. Millot; S. Pernet

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
617 KB
Volume
234
Category
Article
ISSN
0377-0427

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✦ Synopsis

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.

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