Abstract
Air absorption can be a significant source of attenuation, which should be considered in long-duration wideband acoustics simulations. In this short contribution, a time-domain model for three-dimensional wave propagation including viscothermal and relaxation effects (air absorption) is developed and coupled with locally reactive impedance wall conditions through a conservative energy framework. The model is discretised with a finite-difference time-domain method, and numerical stability is established with a discrete energy balance. Numerical examples are presented to demonstrate the proposed method.
Highlights
Wave-based methods for the simulation of room acoustics have seen increased interest recently (Das et al, 2021; Wilson, 2020; Oxnard, 2018; Pind et al, 2019; Saarelma et al, 2018; Savioja and Xiang, 2020; Stein et al, 2020); such methods have great potential for acoustic prediction and auralization across the entire audible range of frequencies
Air absorption can be a significant source of attenuation, which should be considered in long-duration wideband acoustics simulations
The model is discretised with a finite-difference time-domain method, and numerical stability is established with a discrete energy balance
Summary
Wave-based methods for the simulation of room acoustics have seen increased interest recently (Das et al, 2021; Wilson, 2020; Oxnard, 2018; Pind et al, 2019; Saarelma et al, 2018; Savioja and Xiang, 2020; Stein et al, 2020); such methods have great potential for acoustic prediction and auralization across the entire audible range of frequencies. While filter-based approaches for adding air absorption to room impulse responses are available (Kates and Brandewie, 2020; Saarelma and Savioja, 2016), the interest here is the more general and direct simulation of air absorption processes, which allows for moving sources and receivers and the embedding of distributed sound sources (Bilbao and Ahrens, 2020) in both near- and far-field settings The aim of this short contribution is to provide a suitable model for sound propagation in the context of time-domain room acoustics simulation with the inclusion of viscothermal and relaxation effects in air, along with nonrigid wall conditions while maintaining passivity as a whole.
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