One-dimensional transport equation models for sound energy propagation in long spaces: Theory

Yun Jing, Edward W. Larsen, Ning Xiang

Research output: Contribution to journalArticlepeer-review

18 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)2312-2322
Number of pages11
JournalJournal of the Acoustical Society of America
Volume127
Issue number4
DOIs
StatePublished - Apr 2010

All Science Journal Classification (ASJC) codes

  • Arts and Humanities (miscellaneous)
  • Acoustics and Ultrasonics

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