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

DOI10.1016/j.cam.2009.08.038zbMath1407.76139OpenAlexW2148086953MaRDI QIDQ975670

Jean-François Mercier, Florence Millot, Anne-Sophie Bonnet-Ben Dhia, Sebastien Pernet

Publication date: 10 June 2010

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2009.08.038

zbMATH Keywords

finite elementsFredholm alternativeaeroacousticsGalbrun's equationlow-Mach number modelscattering of sound in flows

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hydro- and aero-acoustics (76Q05) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (4)

Mathematical analysis of Goldstein’s model for time-harmonic acoustics in flows ⋮ Accuracy of a Low Mach Number Model for Time-Harmonic Acoustics ⋮ On the well-posedness of Galbrun's equation ⋮ Isogeometric analysis of sound propagation through laminar flow in 2-dimensional ducts

Cites Work

• Unnamed Item
• Time-harmonic acoustic propagation in the presence of a shear flow
• A coercive bilinear form for Maxwell's equations
• Perfectly Matched Layers for Time-Harmonic Acoustics in the Presence of a Uniform Flow
• On applications of high-frequency asymptotics in aeroacoustics
• Acoustic propagation in a flow: numerical simulation of the time-harmonic regime

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