A low-Mach number model for time-harmonic acoustics in arbitrary flows
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摘要
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.
论文关键词:Aeroacoustics,Scattering of sound in flows,Low-Mach number model,Galbrun’s equation,Fredholm alternative,Finite elements
论文评审过程:Received 7 December 2007, Revised 12 May 2008, Available online 12 August 2009.
论文官网地址:https://doi.org/10.1016/j.cam.2009.08.038