Sound absorption by perforated walls along boundaries

2020/06/04 by Donato, Patrizia, Lamacz, Agnes, Schweizer, Ben
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2006.02701

Abstract

We analyze the Helmholtz equation in a complex domain. A sound absorbing structure at a part of the boundary is modelled by a periodic geometry with periodicity ε>0. A resonator volume of thickness ε is connected with thin channels (opening ε³) with the main part of the macroscopic domain. For this problem with three different scales we analyze solutions in the limit ε→ 0 and find that the effective system can describe sound absorption.

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