Discrete approximation to the global spectrum of the tangent operator for flow past a circular cylinder
| dc.contributor.author | Lopez J.I.H. | |
| dc.contributor.author | Meneghini J.R. | |
| dc.contributor.author | Saltara F. | |
| dc.date.accessioned | 2024-03-13T01:37:24Z | |
| dc.date.available | 2024-03-13T01:37:24Z | |
| dc.date.issued | 2008 | |
| dc.description.abstract | This paper deals with the calculation of the discrete approximation to the full spectrum for the tangent operator for the stability problem of the symmetric flow past a circular cylinder. It is also concerned with the localization of the Hopf bifurcation in laminar flow past a cylinder, when the stationary solution loses stability and often becomes periodic in time. The main problem is to determine the critical Reynolds number for which a pair of eigenvalues crosses the imaginary axis. We thus present a divergence-free method, based on a decoupling of the vector of velocities in the saddle-point system from the vector of pressures, allowing the computation of eigenvalues, from which we can deduce the fundamental frequency of the time-periodic solution. The calculation showed that stability is lost through a symmetry-breaking Hopf bifurcation and that the critical Reynolds number is in agreement with the value presented in reported computations. © 2007 IMACS. | |
| dc.description.firstpage | 1159 | |
| dc.description.issuenumber | 8 | |
| dc.description.lastpage | 1167 | |
| dc.description.volume | 58 | |
| dc.identifier.doi | 10.1016/j.apnum.2007.05.001 | |
| dc.identifier.issn | 0168-9274 | |
| dc.identifier.uri | https://dspace.mackenzie.br/handle/10899/37512 | |
| dc.relation.ispartof | Applied Numerical Mathematics | |
| dc.rights | Acesso Restrito | |
| dc.subject.otherlanguage | Hopf bifurcation | |
| dc.subject.otherlanguage | Solenoidal subspace | |
| dc.subject.otherlanguage | Stability problem | |
| dc.title | Discrete approximation to the global spectrum of the tangent operator for flow past a circular cylinder | |
| dc.type | Artigo | |
| local.scopus.citations | 2 | |
| local.scopus.eid | 2-s2.0-44349185514 | |
| local.scopus.subject | Global spectrum | |
| local.scopus.subject | Symmetric flow | |
| local.scopus.updated | 2024-05-01 | |
| local.scopus.url | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=44349185514&origin=inward |