On the use of a diffusion model for acoustically coupled rooms

Abstract

A numerical model is proposed to predict the reverberant sound field in a system of two coupled volumes that are connected through an open aperture. The model is based on the numerical implementation of a diffusion model that has already been applied to predict the sound-energy distribution and the sound decay in single rooms. In comparison with the statistical theory, the proposed approach permits the prediction of the sound field by taking into account the sound source location and the receiver locations as well as the transition from one room to the other at the coupling aperture. Moreover, the diffusion model results match satisfactorily the experimental data in terms of sound-pressure level and reverberation times, both in the room containing the source and in the receiving room. Simulations with a ray-based model are also carried out, leading to results similar to those of the diffusion model, but at a cost of larger computation times.

Study on Noise Prediction and Reduction in Coupled Workshops Using SEA Method

“…The slot was treated as a rigid rectangular piston while using the impedance function to express the relationship of sound pressures between the room volumes and slot, and only plane wave propagation was assumed through the slot. More recently, Billon et al [5] analyzed coupled rooms with an aperture in them and proposed a diffusion model used for predicting acoustical responses taking the location into account, and the calculated results agreed well with the experimental data and those gained by the ray method. Franck et al [6] gave a detailed review of methods for modeling apertures and presented a rigorous model for predicting the transmission loss through the aperture.…”

Acoustic Predictions in Industrial Spaces Using a Diffusion Model

“…This configuration can also be found in various buildings or constructions such as industrial halls or office spaces. For simulating the acoustics of two coupled rooms connected by an open aperture, a nonhomogeneous diffusion problem is to be solved where the computation domain V defined by the two coupled rooms is decomposed into two subvolumes, V 1 and V 2 [42]. Moreover, it is assumed that the value of the mean-free path in each room is unaffected by the coupling.…”

Examination of the Effect of a Sound Source Location on the Steady-State Response of a Two-Room Coupled System

“…In order to obtain a better understanding and control of the acoustics in such room systems, it is vital to have an efficient theoretical or computational method for predicting a structure of sound field in coupled rooms. Nowadays, many numerical methods can be used to estimate the sound field in coupled rooms, like diffusion-equation models (Billon et al, 2006;Xiang et al, 2009), statistical-acoustic models (Summers et al, 2004), the geometrical acoustics (Summers et al, 2005;Pu et al, 2011) and the modal expansion method (Meissner, 2007(Meissner, , 2008b(Meissner, , 2010, also known as the modal analysis. The geometrical acoustics applies at best to rooms with dimensions large compared to the wavelength.…”