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    On the Internal Resonance Modes of Time Domain Surface Integral Equations for Acoustic Transmission Problems

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    Type
    Conference Paper
    Authors
    Chen, Rui cc
    Bagci, Hakan cc
    KAUST Department
    Computational Electromagnetics Laboratory
    Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division
    Electrical and Computer Engineering Program
    Date
    2021-10-15
    Online Publication Date
    2021-10-15
    Print Publication Date
    2021-08-28
    Permanent link to this record
    http://hdl.handle.net/10754/672928
    
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    Abstract
    The internal resonance problem pertinent to time domain surface integral equations (SIEs) for analyzing transient acoustic scattering from penetrable objects is investigated. The first equation considered here is constructed by combining SIE representations of the internal and external problems via the continuity of the velocity potential and its normal derivative. Just like its frequency-domain counterpart, this equation suffers from the internal resonance problem. But it is demonstrated in this work that, unlike the frequency-domain solution, by increasing the accuracy of the discretization, the amplitude of these spurious modes can be suppressed to a level that does not significantly affect the solution. The second equation considered here is obtained by linearly combining the first equation with its normal derivative and its solution is completely free from spurious internal resonance modes.
    Citation
    Chen, R., & Bagci, H. (2021). On the Internal Resonance Modes of Time Domain Surface Integral Equations for Acoustic Transmission Problems. 2021 XXXIVth General Assembly and Scientific Symposium of the International Union of Radio Science (URSI GASS). doi:10.23919/ursigass51995.2021.9560197
    Publisher
    IEEE
    Conference/Event name
    2021 XXXIVth General Assembly and Scientific Symposium of the International Union of Radio Science (URSI GASS)
    ISBN
    978-1-6654-2995-5
    DOI
    10.23919/URSIGASS51995.2021.9560197
    Additional Links
    https://ieeexplore.ieee.org/document/9560197/
    https://ieeexplore.ieee.org/document/9560197/
    https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=9560197
    ae974a485f413a2113503eed53cd6c53
    10.23919/URSIGASS51995.2021.9560197
    Scopus Count
    Collections
    Conference Papers; Electrical and Computer Engineering Program; Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division

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