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Efficient Numerical Implementation of Discrete Transparent Boundary Conditions for Parabolic Equations in Underwater Acoustics

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This paper is concerned with transparent boundary conditions (TBCs) for wide angle parabolic equations (WAPEs) in the application to underwater acoustics. In a previous work a discrete TBC of convolution type was derived from the fully discretized whole-space problem that is reflection-free and yields an unconditionally stable scheme. However, since the perfect discrete TBC for the WAPE is non-local in range, its numerical evaluation becomes very costly for large-range simulations. As a remedy we construct new approximate TBCs in the form of a discrete sum-of-exponentials, which can be evaluated in a very efficient recursion.

Document Type: Research Article

Publication date: September 1, 2002

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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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