Article Dans Une Revue SIAM Journal on Applied Mathematics Année : 2018

Accuracy of a Low Mach Number Model for Time-Harmonic Acoustics

Résumé

We study the time-harmonic acoustic radiation in a fluid in flow. To go beyond the convected Helmholtz equation adapted only to potential flows, starting from the Goldstein equations, coupling exactly the acoustic waves to the hydrodynamic field, we develop a new model in which the description of the hydrodynamic phenomena is simplified. This model, initially developed for a carrier flow of low Mach number M , is proved theoretically to be accurate, associated to a low error bounded by M 2 . Numerical experiments confirm the M 2 law and show that the model remains of very good quality for flow of moderate Mach numbers.
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Dates et versions

hal-04832135 , version 1 (11-12-2024)

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Citer

Jean-François Mercier. Accuracy of a Low Mach Number Model for Time-Harmonic Acoustics. SIAM Journal on Applied Mathematics, 2018, 78 (4), pp.1891-1912. ⟨10.1137/17M113976X⟩. ⟨hal-04832135⟩
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