Symmetry of coherent vortices in plane couette flow


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.

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Divisions: College of Engineering & Physical Sciences > Mathematics
College of Engineering & Physical Sciences > Systems analytics research institute (SARI)
College of Engineering & Physical Sciences > Chemical Engineering & Applied Chemistry
College of Engineering & Physical Sciences > Computer Science
Additional Information: 12th EUROMECH European Turbulence Conference, 7-10 September 2009, Marburg (DE). The original publication is available at
Uncontrolled Keywords: homotopy space,flows,plane Couette flow,PCF,laterally heated flow,vertical slot,LHF,hairpin vortices,turbulent shear flows,Atmospheric Science,Geophysics,Acoustics and Ultrasonics,Astronomy and Astrophysics
ISBN: 9783642030840
Full Text Link: http://www.spri ... tp70v617001753/
Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
PURE Output Type: Chapter
Published Date: 2009-11-27
Authors: Itano, Tomoaki
Generalis, Sotos C. (ORCID Profile 0000-0001-7660-0633)
Toh, Sodoyashi
Fletcher, John P.


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