Bifurcation Tracking for High Reynolds Number Flow Around an Airfoil

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Abstract

High Reynolds number flows are typical for many applications including those found in aerospace. In these conditions nonlinearities arise which can, under certain conditions, result in instabilities of the flow. The accurate prediction of these instabilities is vital to enhance understanding and aid in the design process. The stability boundary can be traced by following the path of a
bifurcation as two parameters are varied using a direct bifurcation tracking method. Historically, these methods have been applied to small-scale systems and only more recently have been used for large systems as found in Computational Fluid Dynamics. However, these have all been concerned with flows that are inviscid. We show how direct bifurcation tracking methods can be
applied efficiently to high Reynolds number flows around an airfoil. This has been demonstrated through the presentation of a number of test cases using both flow and geometrical parameters.
Original languageEnglish
Article number1750061
Number of pages14
JournalInternational Journal of Bifurcation and Chaos
Volume27
Issue number4
Early online date1 Apr 2017
DOIs
Publication statusPublished - Apr 2017

Keywords

  • Hopf bifurcation
  • continuation
  • Navier–Stokes
  • bifurcation tracking

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