title: Investigation of the validity of radiosity for sound-field prediction in cubic rooms.
abstract: This paper explores acoustical (or time-dependent) radiosity using predictions made in four cubic enclosures. The methods and algorithms used are those presented in a previous paper by the same authors [Nosal, Hodgson, and Ashdown, J. Acoust. Soc. Am. 116(2), 970-980 (2004)]. First, the algorithm, methods, and conditions for convergence are investigated by comparison of numerous predictions for the four cubic enclosures. Here, variables and parameters used in the predictions are varied to explore the effect of absorption distribution, the necessary conditions for convergence of the numerical solution to the analytical solution, form-factor prediction methods, and the computational requirements. The predictions are also used to investigate the effect of absorption distribution on sound fields in cubic enclosures with diffusely reflecting boundaries. Acoustical radiosity is then compared to predictions made in the four enclosures by a ray-tracing model that can account for diffuse reflection. Comparisons are made of echograms, room-acoustical parameters, and discretized echograms.
authors.affiliation: Department of Mathematics, University of British Columbia, 1984 Mathematics Road, Vancouver BC, V6T 1Z2 Canada. nosal@hawaii.edu
authors.forename: Eva-Marie
authors.initials: EM
authors.lastname: Nosal
authors.forename: Murray
authors.initials: M
authors.lastname: Hodgson
authors.forename: Ian
authors.initials: I
authors.lastname: Ashdown