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An efficient and high‐order frequency‐domain approach for transient acoustic–structure interactions in three dimensions
Authors:Junshan Lin
Affiliation:Department of Mathematics and Statistics, Auburn University, Auburn, AL, USA
Abstract:This paper is concerned with numerical solution of the transient acoustic–structure interaction problems in three dimensions. An efficient and higher‐order method is proposed with a combination of the exponential window technique and a fast and accurate boundary integral equation solver in the frequency‐domain. The exponential window applied to the acoustic–structure system yields an artificial damping to the system, which eliminates the wrap‐around errors brought by the discrete Fourier transform. The frequency‐domain boundary integral equation approach relies on accurate evaluations of relevant singular integrals and fast computation of nonsingular integrals via the method of equivalent source representations and the fast Fourier transform. Numerical studies are presented to demonstrate the accuracy and efficiency of the method. Copyright © 2016 John Wiley & Sons, Ltd.
Keywords:acoustic–  structure interaction  frequency‐domain approach  exponential window  boundary integral equation
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