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Article: Multilevel fast multipole algorithm for acoustic wave scattering by truncated ground with trenches

TitleMultilevel fast multipole algorithm for acoustic wave scattering by truncated ground with trenches
Authors
Issue Date2008
PublisherAcoustical Society of America. The Journal's web site is located at http://asa.aip.org/jasa.html
Citation
Journal Of The Acoustical Society Of America, 2008, v. 123 n. 5, p. 2513-2521 How to Cite?
AbstractThe multilevel fast multipole algorithm (MLFMA) is extended to solve for acoustic wave scattering by very large objects with three-dimensional arbitrary shapes. Although the fast multipole method as the prototype of MLFMA was introduced to acoustics early, it has not been used to study acoustic problems with millions of unknowns. In this work, the MLFMA is applied to analyze the acoustic behavior for very large truncated ground with many trenches in order to investigate the approach for mitigating gun blast noise at proving grounds. The implementation of the MLFMA is based on the Nyström method to create matrix equations for the acoustic boundary integral equation. As the Nyström method has a simpler mechanism in the generation of far-interaction terms, which MLFMA acts on, the resulting scheme is more efficient than those based on the method of moments and the boundary element method (BEM). For near-interaction terms, the singular or near-singular integrals are evaluated using a robust technique, which differs from that in BEM. Due to the enhanced efficiency, the MLFMA can rapidly solve acoustic wave scattering problems with more than two million unknowns on workstations without involving parallel algorithms. Numerical examples are used to demonstrate the performance of the MLFMA with report of consumed CPU time and memory usage. © 2008 Acoustical Society of America.
Persistent Identifierhttp://hdl.handle.net/10722/182746
ISSN
2015 Impact Factor: 1.572
2015 SCImago Journal Rankings: 0.938
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorTong, MSen_US
dc.contributor.authorChew, WCen_US
dc.contributor.authorWhite, MJen_US
dc.date.accessioned2013-05-02T05:16:41Z-
dc.date.available2013-05-02T05:16:41Z-
dc.date.issued2008en_US
dc.identifier.citationJournal Of The Acoustical Society Of America, 2008, v. 123 n. 5, p. 2513-2521en_US
dc.identifier.issn0001-4966en_US
dc.identifier.urihttp://hdl.handle.net/10722/182746-
dc.description.abstractThe multilevel fast multipole algorithm (MLFMA) is extended to solve for acoustic wave scattering by very large objects with three-dimensional arbitrary shapes. Although the fast multipole method as the prototype of MLFMA was introduced to acoustics early, it has not been used to study acoustic problems with millions of unknowns. In this work, the MLFMA is applied to analyze the acoustic behavior for very large truncated ground with many trenches in order to investigate the approach for mitigating gun blast noise at proving grounds. The implementation of the MLFMA is based on the Nyström method to create matrix equations for the acoustic boundary integral equation. As the Nyström method has a simpler mechanism in the generation of far-interaction terms, which MLFMA acts on, the resulting scheme is more efficient than those based on the method of moments and the boundary element method (BEM). For near-interaction terms, the singular or near-singular integrals are evaluated using a robust technique, which differs from that in BEM. Due to the enhanced efficiency, the MLFMA can rapidly solve acoustic wave scattering problems with more than two million unknowns on workstations without involving parallel algorithms. Numerical examples are used to demonstrate the performance of the MLFMA with report of consumed CPU time and memory usage. © 2008 Acoustical Society of America.en_US
dc.languageengen_US
dc.publisherAcoustical Society of America. The Journal's web site is located at http://asa.aip.org/jasa.htmlen_US
dc.relation.ispartofJournal of the Acoustical Society of Americaen_US
dc.subject.meshAcousticsen_US
dc.subject.meshAlgorithmsen_US
dc.subject.meshElectromagnetic Phenomenaen_US
dc.subject.meshKineticsen_US
dc.subject.meshModels, Theoreticalen_US
dc.subject.meshPressureen_US
dc.subject.meshScattering, Radiationen_US
dc.titleMultilevel fast multipole algorithm for acoustic wave scattering by truncated ground with trenchesen_US
dc.typeArticleen_US
dc.identifier.emailChew, WC: wcchew@hku.hken_US
dc.identifier.authorityChew, WC=rp00656en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1121/1.2897048en_US
dc.identifier.pmid18529170-
dc.identifier.scopuseid_2-s2.0-43549098034en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-43549098034&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume123en_US
dc.identifier.issue5en_US
dc.identifier.spage2513en_US
dc.identifier.epage2521en_US
dc.identifier.isiWOS:000255881000009-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridTong, MS=11839685700en_US
dc.identifier.scopusauthoridChew, WC=36014436300en_US
dc.identifier.scopusauthoridWhite, MJ=55472872700en_US

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