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A Meshfree Radial Point Interpolation Coupled with Infinite Acoustic Wave Envelope Element Method for Computing Acoustic Fields

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To take advantage of the meshfree method in computational accuracy, the meshfree radial point interpolation method (RPIM) is introduced to compute acoustic fields in infinite domain. A hybrid meshfree-infinite acoustic wave envelope element method is proposed for acoustic radiation prediction. To improve the accuracy, soften the system stiffness compared to the "overly-stiff" finite element method, and properly model the amplitude decay of the outgoing travelling wave, the RPIM in near field is combined with a variable-order infinite acoustic wave envelope element (WEE) in far field to establish the discretized system equations. The coupling of the PRIM and WEE is achieved by interface elements to maintain the continuity and compatibility on the interface between the two domains, where the RPIM and WEE methods are applied. The suitable shape parameters of radial basis functions and the size of the influence domain, which influence the performance of this method, are determined by numerical experiments. From the numerical results, the method not only can provide data with high accuracy but also has a faster convergence speed than the conventional method of the finite element method (FEM) combined with WEE. The method can take full advantage of both the RPIM and WEE methods. The experimental results show that the method is very flexible for acoustic radiation prediction in the infinite domain.
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Document Type: Research Article

Publication date: January 1, 2018

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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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