한국전산유체공학회지 (Journal of computational fluids engineering)

한국전산유체공학회 (Korean Society of Computational Fluids Engineering)
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HOMOCLINIC ORBITS IN TRANSITIONAL PLANE COUETTE FLOW

  • Lustro, Julius Rhoan T. (College of Engineering and Agro-Industrial Technology, University of the Philippines Los Banos) ;
  • Kawahara, Genta (Graduate School of Engineering Science, Osaka University) ;
  • van Veen, Lennaert (Faculty of Science, University of Ontario Institute of Technology) ;
  • Shimizu, Masaki (Graduate School of Engineering Science, Osaka University)
  • 투고 : 2015.07.14
  • 심사 : 2015.10.29
  • 발행 : 2015.12.31
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초록

Recent studies on wall-bounded shear flow have emphasized the significance of the stable manifold of simple nonlinear invariant solutions to the Navier-Stokes equation in the formation of the boundary between the laminar and turbulent regions in state space. In this paper we present newly discovered homoclinic orbits of the Kawahara and Kida(2001) periodic solution in plane Couette flow. We show that as the Reynolds number decreases a pair of homoclinic orbits move closer to each other until they disappear to exhibit homoclinic tangency.

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참고문헌

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