A hybrid room acoustic modeling approach combining image source, acoustic diffusion equation, and time-domain discontinuous Galerkin methods

In this paper a hybrid model is introduced that constructs a broadband room impulse response using a geometrical (image source method) and a statistical method (acoustic diffusion equation) for the high-frequency range, supported by a wave-based method (time-domain discontinuous Galerkin method) for...

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Veröffentlicht in:Applied acoustics 2024-07, Vol.223, p.110068, Article 110068
Hauptverfasser: Wittebol, Wouter, Wang, Huiqing, Hornikx, Maarten, Calamia, Paul
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Sprache:eng
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Zusammenfassung:In this paper a hybrid model is introduced that constructs a broadband room impulse response using a geometrical (image source method) and a statistical method (acoustic diffusion equation) for the high-frequency range, supported by a wave-based method (time-domain discontinuous Galerkin method) for the low-frequency range. A crucial element concerns the construction of the high-frequency impulse response where a transition from a predominantly specular (image source) to a predominantly diffuse sound-field (diffusion equation) is required. To achieve this transition an analytical envelope is introduced. A key factor is the room-averaged scattering coefficient which accounts for all scattering behavior of the room and determines the speed of transition from a specular to a non-specular sound-field. To evaluate its performance, the model is compared to a broadband wave-based solver for two reference scenarios. The hybrid model shows promising results in terms of reverberation time (T20), center time (Ts) and bass-ratio (BR). Aspects such as the used geometrical complexity, the ‘room-averaged’ scattering coefficients, and other model simplifications and assumptions are discussed. •Geometrical and statistical methods used for high-frequency range.•Wave-based method included for low-frequency range.•Focus on high-frequency impulse response transition.•Analytical envelope introduced to facilitate transition.•Emphasis on room-averaged scattering coefficient.
ISSN:0003-682X
1872-910X
DOI:10.1016/j.apacoust.2024.110068