Huntley, S.; Jones, D.; Gaitonde, A. Bifurcation tracking for high Reynolds number flow around an airfoil. (English) Zbl 1366.35005 Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 4, Article ID 1750061, 14 p. (2017). Summary: 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. Cited in 3 Documents MSC: 35B32 Bifurcations in context of PDEs 32Q30 Uniformization of complex manifolds 76E17 Interfacial stability and instability in hydrodynamic stability Keywords:Hopf bifurcation; continuation; Navier-Stokes; bifurcation tracking PDFBibTeX XMLCite \textit{S. Huntley} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 4, Article ID 1750061, 14 p. (2017; Zbl 1366.35005) Full Text: DOI References: [1] Badcock, K., Woodgate, M. & Richards, B. [2004] “ Hopf bifurcation calculations for a symmetric airfoil in transonic flow,” AIAA J.42, 883-892. [2] Badcock, K., Woodgate, M. & Richards, B. [2005] “ Direct aeroelastic bifurcation analysis of a symmetric wing based on Euler equations,” J. Aircraft42, 731-737. 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