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An Effective Method Calculating Acoustic Green's Function for Closed Rectangular Cavity Using the Ewald's Summation Technique

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Acoustic problems based on Helmholtz equation require evaluation of the Green's function. The acoustic Green's function expressed by modal expansion method converges very slowly. The Ewald's summation technique is suggested to extend into acoustic problems, in which the slowly convergent modal Green's function is split into two parts using a splitting factor. Each of them represents the exponentially convergent form, which drastically reduces the iteration items of the infinite series. Based on the simulation results, the transformed Green's function achieves rapid convergence with only a small number of iterations. In contrast, the identical results can be achieved from modal method with a large number of items. Therefore Ewald's method is an effective and inexpensive method for solving Green's function and acoustic problems in the closed rectangular cavity.
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Document Type: Short Communication

Publication date: September 1, 2007

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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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