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Title: | An Optimization Strategy to Position CHIEF Points in Boundary-Element Acoustic Problems | Authors: | Gonçalves, Kleber de Almeida Santurio, Daniela Silva Soares, Delfim Costa, Pedro Alves Godinho, Luís |
Keywords: | boundary elements; CHIEF points; smallest singular value; exterior acoustics | Issue Date: | 2023 | Publisher: | MDPI | Project: | UIDB/04029/2020 UIDP/04029/2020 UIDB/04708/2020 UIDP/04708/2020 POCI-01-0247-FEDER- 033990 POCI-01-0247-FEDER-046111 PTDC/ECI-EGC/3352/2021 |
Serial title, monograph or event: | Applied Sciences (Switzerland) | Volume: | 13 | Issue: | 6 | Abstract: | The use of boundary elements in the analysis of exterior acoustic problems poses challenges at specific frequencies, since fictitious eigenfrequencies may arise at the internal resonances of cavities, leading to inaccurate results or even unstable behavior. To filter out these fictitious eigenfrequencies, a scheme based on the combined Helmholtz integral equation formulation (CHIEF) can be used to prevent the so-called non-uniqueness problem, although it requires additional equations and points. The BEM formulation final accuracy will, however, depend on the correct choice of these points. Here, a strategy to help in defining good approximations for the position and number of such points is proposed, based on an optimization process which maximizes the system matrix’s smallest singular value. The accuracy of the method for exterior radiation problems is investigated using different examples. With low computational cost and simple implementation, the two proposed algorithms automatically circumvent the non-uniqueness problem, aiding the implementation of more stable BEM codes. | URI: | https://hdl.handle.net/10316/113665 | ISSN: | 2076-3417 | DOI: | 10.3390/app13064001 | Rights: | openAccess |
Appears in Collections: | I&D ISISE - Artigos em Revistas Internacionais FCTUC Eng.Civil - Artigos em Revistas Internacionais |
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An-Optimization-Strategy-to-Position-CHIEF-Points-in-BoundaryElement-Acoustic-ProblemsApplied-Sciences-Switzerland.pdf | 7.93 MB | Adobe PDF | View/Open |
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