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On the Air Absorption Effects in a Finite Difference Implementation of the Acoustic Diffusion Equation Model

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In room-acoustics modeling, the sound atmospheric attenuation is a critical phenomenon that have to be taken into account to obtain correct predictions, especially when high frequencies and large enclosures are simulated. A finite difference scheme implementation of the diffusion equation model with a mixed boundary condition is evaluated, including the air absorption within the room. This paper focus on investigate the performance of this implementation for room-acoustics simulation. In particular, the stability condition is developed to compare the features of the solution both with and without the air absorption term. Moreover, the correct behavior of the numerical implementation has been studied comparing predicted results using different surfaces and air absorption coefficients.

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