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Volume 119, Issue 3, March 2006
- ARCHITECTURAL ACOUSTICS 
119(2006); http://dx.doi.org/10.1121/1.2161433View Description Hide Description
This paper presents an alternative model for predicting the reverberant sound field in empty rooms with diffusely reflecting boundaries, based on the generalization and the numerical implementation of a diffusionequation for the energy density. The paper focuses on the source term and the boundary conditions of the diffusionequation, both for the steady state and the time-varying state, in order to make computational use of the model. In addition, theoretical analysis of the diffusionequation shows that the diffusionmodel may be considered as an extension of the classical theory of reverberation to nondiffuse sound fields. The numerical model is first applied to a cubic room and shows a very good agreement with statistical theory. Two numerical applications are also given for a long room and a flat room; results are in good agreement with numerical results from a ray-tracing software. The main advantage of the present model is its capability to be applied regardless of the complexity of the room shape, and that it gives results at any receiver location, with a low calculation time.