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An efficient and high‐order frequency‐domain approach for transient acoustic–structure interactions in three dimensions
Author(s) -
Lin Junshan
Publication year - 2016
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.5243
Subject(s) - solver , frequency domain , invertible matrix , computation , fourier transform , exponential function , transient (computer programming) , mathematics , mathematical analysis , domain (mathematical analysis) , integral equation , discrete fourier transform (general) , boundary (topology) , fast fourier transform , algorithm , computer science , fourier analysis , mathematical optimization , short time fourier transform , operating system , pure mathematics
Summary 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.