title: One-dimensional transport equation models for sound energy propagation in long spaces: theory.
abstract: In this paper, a three-dimensional transport equation model is developed to describe the sound energy propagation in a long space. Then this model is reduced to a one-dimensional model by approximating the solution using the method of weighted residuals. The one-dimensional transport equation model directly describes the sound energy propagation in the "long" dimension and deals with the sound energy in the "short" dimensions by prescribed functions. Also, the one-dimensional model consists of a coupled set of N transport equations. Only N=1 and N=2 are discussed in this paper. For larger N, although the accuracy could be improved, the calculation time is expected to significantly increase, which diminishes the advantage of the model in terms of its computational efficiency.
authors.affiliation: Graduate Program of Architectural Acoustics, Rensselaer Polytechnic Institute, Troy, New York 12180, USA. jingy@bwh.harvard.edu
authors.forename: Yun
authors.initials: Y
authors.lastname: Jing
authors.forename: Edward W
authors.initials: EW
authors.lastname: Larsen
authors.forename: Ning
authors.initials: N
authors.lastname: Xiang
mesh_terms: D000162:Acoustics; D003198:Computer Simulation; D005160:Facility Design and Construction; D007374:Interior Design and Furnishings; D008962:Models, Theoretical; D009038:Motion; D009716:Numerical Analysis, Computer-Assisted; D013016:Sound; D013997:Time Factors