Acoustic propagation in a vortical homentropic flow

Jean-François Mercier 1 Colin Mietka 2 Florence Millot 2 Vincent Pagneux 3
1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231
Abstract : This paper is devoted to the theoretical and the numerical studies of the radiation 4 of an acoustic source in a general homentropic flow. As a linearized model, we consider Goldstein's 5 Equations, which extend the usual potential model to vortical flows. The equivalence between 6 Linearized Euler's Equations with general source terms and Goldstein's Equations is established, 7 and the relations between unknowns, in each model, are analysed. A closed-form relation between 8 the hydrodynamic phenomena and the acoustics is derived. Finally, numerical results are presented 9 and the relevance of using Goldstein's Equations compared to the potential model is illustrated.
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Submitted on : Thursday, December 14, 2017 - 1:37:21 PM
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Jean-François Mercier, Colin Mietka, Florence Millot, Vincent Pagneux. Acoustic propagation in a vortical homentropic flow. 2017. ⟨hal-01663949⟩

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