A fast algorithm for simulation of periodic flows using discrete vortex particles

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dc.contributor.authorRicciardi, Tulio R.
dc.contributor.authorWolf, William R.
dc.contributor.authorBimbato, Alex M. [UNESP]
dc.contributor.institutionUniversidade Estadual de Campinas (UNICAMP)
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2018-11-26T15:45:37Z
dc.date.available2018-11-26T15:45:37Z
dc.date.issued2017-11-01
dc.description.abstractWe present a novel fast algorithm for flow simulations using the discrete vortex method, DVM, for problems with periodic boundary conditions. In the DVM, the solution of the velocity field induced by interactions among N discrete vortex particles is governed by the Biot-Savart law and, therefore, leads to a computational cost proportional to O(). The proposed algorithm combines exponential and power series expansions implemented using a divide and conquer strategy to accelerate the calculation of the cotangent kernel that models periodic boundary conditions. The fast multipole method, FMM, is applied for the solution of singular terms appearing in the power series expansion and also for the exponential series expansion. Error and computational cost analyses are performed for the individual steps of the algorithm for double and quadruple machine precision. The current method presents more accurate solutions when compared to those obtained by periodic domain replication using the free-field FMM kernel. The novel algorithm provides computational savings of nearly 240 times for double-precision simulations with one million particles when compared to the direct calculation of the Biot-Savart law.en
dc.description.affiliationUniv Estadual Campinas, BR-13083860 Campinas, SP, Brazil
dc.description.affiliationSao Paulo State Univ, BR-12516410 Guaratingueta, SP, Brazil
dc.description.affiliationUnespSao Paulo State Univ, BR-12516410 Guaratingueta, SP, Brazil
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipCENAPAD-SP
dc.description.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.description.sponsorshipIdFAPESP: 2013/03413-4
dc.description.sponsorshipIdFAPESP: 2013/07375-0
dc.description.sponsorshipIdCNPq: 470695/2013-7
dc.description.sponsorshipIdCNPq: 305277/2015-4
dc.description.sponsorshipIdCENAPAD-SP: 551
dc.format.extent4555-4570
dc.identifierhttp://dx.doi.org/10.1007/s40430-017-0902-x
dc.identifier.citationJournal Of The Brazilian Society Of Mechanical Sciences And Engineering. Heidelberg: Springer Heidelberg, v. 39, n. 11, p. 4555-4570, 2017.
dc.identifier.doi10.1007/s40430-017-0902-x
dc.identifier.fileWOS000413699400022.pdf
dc.identifier.issn1678-5878
dc.identifier.urihttp://hdl.handle.net/11449/159889
dc.identifier.wosWOS:000413699400022
dc.language.isoeng
dc.publisherSpringer
dc.relation.ispartofJournal Of The Brazilian Society Of Mechanical Sciences And Engineering
dc.relation.ispartofsjr0,362
dc.rights.accessRightsAcesso aberto
dc.sourceWeb of Science
dc.subjectFast algorithm
dc.subjectCotangent kernel
dc.subjectPeriodic boundary conditions
dc.subjectDiscrete vortex method
dc.subjectFast multipole method
dc.titleA fast algorithm for simulation of periodic flows using discrete vortex particlesen
dc.typeArtigo
dcterms.licensehttp://www.springer.com/open+access/authors+rights?SGWID=0-176704-12-683201-0
dcterms.rightsHolderSpringer
unesp.author.lattes9281176919261064[3]
unesp.author.orcid0000-0002-6777-4516[3]

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