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On High Reynolds Number Aerodynamics: Separated Flows

In: Handbook of Geomathematics

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  • Mario Aigner

    (Vienna University of Technology, Institute of Fluid Mechanics and Heat Transfer)

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. High Reynolds number

Suggested Citation

  • Mario Aigner, 2015. "On High Reynolds Number Aerodynamics: Separated Flows," Springer Books, in: Willi Freeden & M. Zuhair Nashed & Thomas Sonar (ed.), Handbook of Geomathematics, edition 2, pages 1255-1296, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-54551-1_101
    DOI: 10.1007/978-3-642-54551-1_101
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