Computational analysis of acoustic transmission through periodically perforated interfaces

Abstract

The objective of the paper is to demonstrate the homogenization approach applied to modelling the acoustic transmission on perforated interfaces embedded in the acoustic fluid. We assume a layer, with periodically perforated obstacles, separating two half-spaces filled with the fluid. The homogenizationmethod provides limit transmission conditions which can be prescribed at the homogenized surface representing the “limit” interface. The conditions describe relationship between jump of the acoustic pressures and the transversal acoustic velocity, on introducing the “in-layer pressure” which describes wave propagation in the tangent directions with respect to the interface. This approach may serve as a relevant tool for optimal design of devices aimed at attenuation of the acoustic waves, such as the engine exhaustmufflers or other structures fitted with sieves and grillages. We present numerical examples of wave propagation in a muffler-like structure illustrating viability of the approach when complex 3D geometries of the interface perforation are considered.