On the Internal Resonance Modes of Time Domain Surface Integral Equations for Acoustic Transmission Problems
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On_the_Internal_Resonance_Modes_of_Time_Domain_Surface_Integral_Equations_for_Acoustic_Transmission_Problems.pdf
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Conference PaperAuthors
Chen, Rui
Bagci, Hakan

KAUST Department
Computational Electromagnetics LaboratoryComputer, Electrical and Mathematical Science and Engineering (CEMSE) Division
Electrical and Computer Engineering Program
Date
2021-10-15Online Publication Date
2021-10-15Print Publication Date
2021-08-28Permanent link to this record
http://hdl.handle.net/10754/672928
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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/ursigass51995.2021.9560197Publisher
IEEEConference/Event name
2021 XXXIVth General Assembly and Scientific Symposium of the International Union of Radio Science (URSI GASS)ISBN
978-1-6654-2995-5Additional 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