Symmetry of coherent vortices in plane couette flow

Tomoaki Itano, Sotos C. Generalis, Sodoyashi Toh, John P. Fletcher

Research output: Chapter in Book/Published conference outputChapter


A numerical continuation method is carried out in a homotopy space connecting two different flows, the Plane Couette Flow (PCF) and the Laterally Heated Flow in a vertical slot (LHF). This numerical continuation method enables us to obtain an exact steady solution in PCF. The new solution has the shape of hairpin vortices (HVS: hairpin vortex solution), which is observed ubiquitously in turbulent shear flows.
Original languageEnglish
Title of host publicationAdvances in Turbulence XII: Proceedings of the 12th EUROMECH European Turbulence Conference, September 7-10, 2009, Marburg, Germany
EditorsBruno Eckhardt
Place of PublicationBerlin (DE)
Number of pages4
ISBN (Print)9783642030840
Publication statusPublished - 27 Nov 2009

Publication series

NameSpringer Proceedings Physics

Bibliographical note

12th EUROMECH European Turbulence Conference, 7-10 September 2009, Marburg (DE). The original publication is available at


  • homotopy space
  • flows
  • plane Couette flow
  • PCF
  • laterally heated flow
  • vertical slot
  • LHF
  • hairpin vortices
  • turbulent shear flows


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