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.
Mots clés
Aeroacoustics time-harmonic radiation acoustics in vortical flows Goldstein's Equations small parameter approximate model error estimates AMS subject classifications. 65J10 65N30 65Z05 35J50 35Q35 35Q31
Aeroacoustics
time-harmonic radiation
acoustics in vortical flows
Goldstein's Equations
small parameter
approximate model
error estimates AMS subject classifications. 65J10
65N30
65Z05
35J50
35Q35
35Q31
Aeroacoustics time-harmonic radiation acoustics in vortical flows Goldstein's Equations small parameter approximate model error estimates AMS subject classifications. 65J10 65N30 65Z05 35J50 35Q35 35Q31
Origine | Fichiers produits par l'(les) auteur(s) |
---|