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On High Reynolds Number Aerodynamics: Separated Flows

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Handbook of Geomathematics

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Abstract

This treatise deals with the occurrence of locally separated, three-dimensional, unsteady high Reynolds number flows. As it is well established, such flows are governed by a triple-deck structure where the wall shear stress in the viscous sublayer of the (in general inviscid) boundary layer is utilized to describe the phenomenon of localized separation bubbles. It is then proved that the Cauchy problem for the local wall shear stress is, in general, ill-posed. Thus, regularization methods need to be applied to numerically compute the time evolution. The numerical scheme comprises a novel technique using rational Chebyshev polynomials. Finally, the breakdown of the triple-deck structure in the sense of a finite time blow-up scenario is shown.

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Notes

  1. 1.

    The author likes to thank Stefan Braun, Vienna University of Technology and the Austrian Science Fund FWF for supervising and funding this work.

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Author information

Authors and Affiliations

  1. Institute of Fluid Mechanics and Heat Transfer, Vienna University of Technology, Vienna, Austria

    Mario Aigner

Authors
  1. Mario Aigner
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Correspondence to Mario Aigner .

Editor information

Editors and Affiliations

  1. Geomathematics Group, University of Kaiserslautern, Kaiserslautern, Germany

    Willi Freeden

  2. Department of Mathematics, University of Central Florida, Orlando, Florida, USA

    M. Zuhair Nashed

  3. Computational Mathematics, Technische Universität Braunschweig, Braunschweig, Germany

    Thomas Sonar

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Aigner, M. (2015). On High Reynolds Number Aerodynamics: Separated Flows. In: Freeden, W., Nashed, M., Sonar, T. (eds) Handbook of Geomathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-54551-1_101

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