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Article Dans Une Revue Journal of the Acoustical Society of America Année : 2012

Large scale modulation of high frequency acoustic waves in periodic porous media

Résumé

This paper deals with the description of the modulation at large scale of high frequency acoustic waves in gas saturated periodic porous media. High frequencies mean local dynamics at the pore scale and therefore absence of scale separation in the usual sense of homogenization. However, although the pressure is spatially varying in the pores (according to periodic eigenmodes), the mode amplitude can present a large scale modulation, thereby introducing another type of scale separation to which the asymptotic multi-scale procedure applies. The approach is first presented on a periodic network of interconnected Helmholtz resonators. The equations governing the modulations carried by periodic eigenmodes, at frequencies close to their eigenfrequency, are derived. The number of cells on which the carrying periodic mode is defined is therefore a parameter of the modeling. In a second part, the asymptotic approach is developed for periodic porous media saturated by a perfect gas. Using the "multicells" periodic condition, one obtains the family of equations governing the amplitude modulation at large scale of high frequency waves. The significant difference between modulations of simple and multiple mode are evidenced and discussed. The features of the modulation (anisotropy, width of frequency band) are also analyzed.
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hal-04302190 , version 1 (23-11-2023)

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Claude Boutin, Antoine Rallu, Stephane Hans. Large scale modulation of high frequency acoustic waves in periodic porous media. Journal of the Acoustical Society of America, 2012, 132 (6), pp.3622-3636. ⟨10.1121/1.4763553⟩. ⟨hal-04302190⟩
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