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1 Institute of Mechanics and Mechatronics 2 POEMS - Propagation des Ondes : Étude Mathématique et Simulation Inria Saclay - Ile de France, ENSTA ParisTech UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231 3 M3DISIM - Mathematical and Mechanical Modeling with Data Interaction in Simulations for Medicine LMS - Laboratoire de mécanique des solides, Inria Saclay - Ile de France

Abstract : The paper addresses the construction of a non spurious mixed spectral finite element FE method to problems in the field of computational aeroacous-tics. Based on a computational scheme for the conservation equations of linear acoustics, the extension towards convected wave propagation is investigated. In aeroacoustic applications, the mean flow effects can have a significant impact on the generated sound field even for smaller Mach numbers. For those convec-tive terms, the initial spectral FE discretization leads to non-physical, spurious solutions. Therefore, a regularization procedure is proposed and qualitatively investigated by means of discrete eigenvalues analysis of the discrete operator in space. A study of convergence and an application of the proposed scheme to simulate the flow induced sound generation in the process of human phonation underlines stability and validity.

Keywords : Spectral Finite Elements Aeroacoustics Perturbation Equations





Autor: Andreas Hüppe - Gary Cohen - Sebastien Imperiale - Manfred Kaltenbacher -

Fuente: https://hal.archives-ouvertes.fr/



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