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Using the MFS for the analysis of the sound absorption by a porous plate containing a periodic array of inclusions

Emmanuel Perrey-Debain 1, * Benoit Nennig 1
* Corresponding author
Abstract : The Method of Fundamental Solutions (MFS) is now a well-established technique that has proved to be reliable for a specific range of wave problems such as the scattering of acoustic and elastic waves by scatterers of regular shapes or by gratings. The aim of this work is to show that the technique can be used to model absorption problems whereby an incident acoustic wave impinges on a porous plate of finite thickness in which periodic inclusions are embedded. The inclusions may be of different type such as rigid scatterers of various shape or cavities filled with air or with another porous material. The extension of the MFS to periodic problems is obtained by using appropriate periodic Green's functions for which highly convergent series exist. The influence of the inclusions is illustrated on various examples in order to enhance the absorption properties in the low frequency range or around specific frequency ranges.
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Emmanuel Perrey-Debain, Benoit Nennig. Using the MFS for the analysis of the sound absorption by a porous plate containing a periodic array of inclusions. Acoustics 2012, Apr 2012, Nantes, France. ⟨hal-00811286⟩

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