Numerical solution of the viscous flow past a cylinder with a non-global yet spectrally convergent meshless collocation method

Bernal Martínez, Francisco Manuel; Heryudono, Alfa R.H.; Larsson, Elisabeth

dc.contributor.author	Bernal Martínez, Francisco Manuel
dc.contributor.author	Heryudono, Alfa R.H.
dc.contributor.author	Larsson, Elisabeth
dc.date.accessioned	2021-03-09T10:54:58Z
dc.date.available	2021-03-09T10:54:58Z
dc.date.issued	2017-08-22
dc.identifier.bibliographicCitation	Bittencourt M., Dumont N., Hesthaven J. (eds.) (2017). Spectral and high order methods for partial differential equations ICOSAHOM 2016: selected papers from the ICOSAHOM conference, June 27-July 1, 2016, Rio de Janeiro, Brazil. (Lecture Notes in Computational Science and Engineering, 119). Springer. Pp. 495-507.
dc.identifier.isbn	978-3-319-65869-8 (print)
dc.identifier.isbn	978-3-319-65870-4 (online)
dc.identifier.uri	http://hdl.handle.net/10016/32086
dc.description	Proceeding of: 11th International Conference on Spectral and High-Order Methods (ICOSAHOM'16), June 27-July 1, 2016, Rio de Janeiro, Brazil.
dc.description.abstract	The flow of a viscous fluid past a cylinder is a classical problem in fluid-structure interaction and a benchmark for numerical methods in computational fluid dynamics. We solve it with the recently introduced radial basis function-based partition of unity method (RBF-PUM), which is a spectrally convergent collocation meshless scheme well suited to this kind of problem. The resulting discrete system of nonlinear equations is tackled with a trust-region algorithm, whose performance is much enhanced by the analytic Jacobian which is provided alongside. Preliminary results up to Re = 60 with just 1292 nodes are shown.
dc.description.sponsorship	F. Bernal acknowledges support from FCT grant SFRH/BPD/79986/2011 and INESC-ID. A. Heryudono is partially supported by NSF Grant DMS 1552238
dc.format.extent	6
dc.language.iso	eng
dc.publisher	Springer
dc.relation.ispartofseries	Lecture Notes in Computational Science and Engineering (LNCSE); 119
dc.rights	© Springer International Publishing AG 2017
dc.subject.other	Numerical analysis
dc.subject.other	Computational fluid dynamics
dc.subject.other	Spectral methods
dc.title	Numerical solution of the viscous flow past a cylinder with a non-global yet spectrally convergent meshless collocation method
dc.type	bookPart
dc.type	conferenceObject
dc.type.review	PeerReviewed
dc.description.status	Publicado
dc.subject.eciencia	Ingeniería Industrial
dc.subject.eciencia	Matemáticas
dc.identifier.doi	https://doi.org/10.1007/978-3-319-65870-4_35
dc.rights.accessRights	openAccess
dc.type.version	acceptedVersion
dc.relation.eventdate	June 27-July 1, 2016
dc.relation.eventnumber	11
dc.relation.eventplace	Río de Janeiro, Brasil
dc.relation.eventtitle	International Conference on Spectral and High-Order Methods (ICOSAHOM'16)
dc.relation.eventtype	proceeding
dc.identifier.publicationfirstpage	495
dc.identifier.publicationlastpage	507
dc.identifier.publicationtitle	Spectral and High Order Methods for Partial Differential Equations (ICOSAHOM 2016): selected papers from the ICOSAHOM conference, June 27-July 1, 2016, Rio de Janeiro, Brazil
dc.identifier.publicationvolume	119
dc.identifier.uxxi	CO/0000010857