Passive Models of Viscothermal Wave Propagation in Acoustic Tubes

Stefan Bilbao 1 Reginald Harrison 1 Jean Kergomard 2, 3 Bruno Lombard 4, 3 Christophe Vergez 2, 3
2 Sons
LMA - Laboratoire de Mécanique et d'Acoustique [Marseille] : UPR7051
4 O&I - Ondes et Imagerie
LMA - Laboratoire de Mécanique et d'Acoustique [Marseille]
Abstract : A continued fraction expansion to the immittances defining viscothermal wave propagation in a cylindrical tube has been presented recently in this journal, intended as a starting point for time domain numerical method design. Though the approximation has the great benefit of passivity, or positive realness under truncation, its convergence is slow leading to approximations of high order in practice. Other passive structures, when combined with optimisation methods, can lead to good accuracy over a wide frequency range, and for relatively low order.
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Stefan Bilbao, Reginald Harrison, Jean Kergomard, Bruno Lombard, Christophe Vergez. Passive Models of Viscothermal Wave Propagation in Acoustic Tubes. Journal of the Acoustical Society of America, Acoustical Society of America, 2015, 138, pp.555-558. ⟨10.1121/1.4926407⟩. ⟨hal-01151253v2⟩

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