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Reverberated sound field modeling in coupled rooms using a diffusion equation

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Academic year: 2021

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Soundmodeling in coupled rooms has attracted considerable attention in thepast, but accurate and operational models are still needed. Inrecent papers, a diffusion equation based model has been appliedwith success to unusual room shapes. This approach allows nonuniformrepartition of energy, and is especially relevant in room acousticsfor long rooms or complex spaces such as networks of rooms. The present work aims at validating the behavior ofthe diffusion model in the case of two acoustically coupledrooms separated by an open area. In this purpose, thetime-dependent diffusion equation is solved in three dimensions using afinite-element solver. It allows one to predict both sound attenuationand reverberation time at any point of the coupled rooms.Parameters influencing the coupling, i.e., room relative sizes, aperture sizeand room absorption areas, are investigated. Results are then comparedwith the classical statistical theory of coupled rooms. Finally, acomparison with experimental data in two coupled classrooms is alsoprovided.

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