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Sound field simulation by computational acoustics. Part I: Simulation algorithm
Author(s) -
Rabenstein R.,
Zayati A.
Publication year - 2000
Publication title -
international journal of adaptive control and signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.73
H-Index - 66
eISSN - 1099-1115
pISSN - 0890-6327
DOI - 10.1002/1099-1115(200009)14:6<663::aid-acs609>3.0.co;2-r
Subject(s) - partial differential equation , representation (politics) , sound pressure , boundary value problem , computer science , sound (geography) , field (mathematics) , particle velocity , boundary (topology) , algorithm , acoustics , mathematics , mathematical analysis , physics , politics , political science , pure mathematics , law
We present a computational acoustics approach to the computer simulation of sound fields. It is based on physical modelling of sound wave propagation in terms of the partial differential equations for sound pressure and particle velocity. A step‐by‐step procedure is given to convert the partial differential equation description into a suitable form for numerical integration. The resulting discrete model is derived with methods from numerical mathematics, linear algebra, and multidimensional system theory and formulated in terms of a state‐space representation. The treatment of boundary conditions and examples are presented in a companion paper. Copyright © 2000 John Wiley & Sons, Ltd.