Relative periodic orbits in transitional pipe flow
2008 (English)In: Physics of fluids, ISSN 1070-6631, E-ISSN 1089-7666, Vol. 20, no 11, 114102- p.Article in journal (Refereed) Published
A dynamical system description of the transition process in shear flows with no linear instability starts with knowledge of exact coherent solutions, among them traveling waves (TWs) and relative periodic orbits (RPOs). We describe a numerical method to find such solutions in pipe flow and apply it in the vicinity of a Hopf bifurcation from a TW which looks to be especially relevant for transition. The dominant structural feature of the RPO solution is the presence of weakly modulated streaks. This RPO, like the TW from which it bifurcates, sits on the laminar-turbulent boundary separating initial conditions which lead to turbulence from those which immediately relaminarize.
Place, publisher, year, edition, pages
2008. Vol. 20, no 11, 114102- p.
IdentifiersURN: urn:nbn:se:kth:diva-33172DOI: 10.1063/1.3009874ISI: 000261213300014ScopusID: 2-s2.0-57149115946OAI: oai:DiVA.org:kth-33172DiVA: diva2:413779
QC 201104292011-04-292011-04-292011-04-29Bibliographically approved