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Design of broadband time-domain impedance boundary conditions using the oscillatory-diffusive representation of acoustical models

Monteghetti, Florian and Matignon, Denis and Piot, Estelle and Pascal, Lucas Design of broadband time-domain impedance boundary conditions using the oscillatory-diffusive representation of acoustical models. (2016) The Journal of the Acoustical Society of America, 140 (3). 1663-1674. ISSN 0001-4966

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Official URL: http://dx.doi.org/10.1121/1.4962277

Abstract

A methodology to design broadband time-domain impedance boundary conditions (TDIBCs) from the analysis of acoustical models is presented. The derived TDIBCs are recast exclusively as firstorder differential equations, well-suited for high-order numerical simulations. Broadband approximations are yielded from an elementary linear least squares optimization that is, for most models, independent of the absorbing material geometry. This methodology relies on a mathematical technique referred to as the oscillatory-diffusive (or poles and cuts) representation, and is applied to a wide range of acoustical models, drawn from duct acoustics and outdoor sound propagation, which covers perforates, semi-infinite ground layers, as well as cavities filled with a porous medium. It is shown that each of these impedance models leads to a different TDIBC. Comparison with existing numerical models, such as multi-pole or extended Helmholtz resonator, provides insights into their suitability. Additionally, the broadly-applicable fractional polynomial impedance models are analyzed using fractional calculus.

Item Type:Article
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE)
French research institutions > Office National d'Etudes et Recherches Aérospatiales - ONERA (FRANCE)
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Deposited By: Denis Matignon
Deposited On:10 Oct 2016 12:33

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