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Stability Analysis of the FDTD Scheme in Porous Media

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Abstract:

The equations proposed by Zwikker and Kosten (ZK) in their model [1] are appropriated to perform numerical simulations in time-domain formulations for sound propagation in rigid-frame porous media. In this paper the stability conditions of FDTD schemes based on the ZK equations are derived using the Von Neumann method. A generalized Courant Number based on ZK equations is defined in order to determine the stability of numerical schemes in porous media.

Document Type: Research Article

DOI: https://doi.org/10.3813/AAA.918280

Publication date: 2010-03-01

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  • Acta Acustica united with Acustica, published together with the European Acoustics Association (EAA), is an international, peer-reviewed journal on acoustics. It publishes original articles on all subjects in the field of acoustics, such as general linear acoustics, nonlinear acoustics, macrosonics, flow acoustics, atmospheric sound, underwater sound, ultrasonics, physical acoustics, structural acoustics, noise control, active control, environmental noise, building acoustics, room acoustics, acoustic materials, acoustic signal processing, computational and numerical acoustics, hearing, audiology and psychoacoustics, speech, musical acoustics, electroacoustics, auditory quality of systems. It reports on original scientific research in acoustics and on engineering applications. The journal considers scientific papers, technical and applied papers, book reviews, short communications, doctoral thesis abstracts, etc. In irregular intervals also special issues and review articles are published.
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