General extended-reacting porous materials modeling with the time-domain discontinuous Galerkin method for room acoustic simulations

Porous sound absorbers are commonly applied as room acoustic treatments to improve acoustic comfort. To simulate their extended-reacting acoustic behaviour, we present a numerical approach based on the equivalent fluid model (EFM) in the framework of the time-domain discontinuous Galerkin (TD-DG) method. By approximating the effective density and compressibility of materials in the frequency-domain using multipole rational functions, the time-domain governing equations of porous materials can be expressed in the same unified hyperbolic form as linear acoustic equations, which is compatible with the high-order DG method. A well-posed boundary and interface coupling condition between various propagation media is formulated based on the characteristics of the system. To verify the formulation, a 3D single reflection scenario is considered. It is demonstrated that both the amplitude and the phase of the simulated pressure solutions converge to the analytical ones.