Summary
The receptivity on a yawed parabolic leading edge in supersonic flow is studied by direct numerical simulation. We investigate the response of the boundary layer due to entropy disturbances ahead of the shock. These disturbances interact with the shock and generate entropy, vorticity and acoustic disturbances of the nonhomogeneous base flow. In turn they impinge on the leading edge and induce a boundary-layer response akin to the first eigenmodes of the flat plate.
We use a characteristic-type numerical scheme which was developed for direct numerical simulations of compressible transitional and turbulent flows [14]. In these flows numerical dissipation and dispersion rather than the capturing of shocks is the primary issue and a primitive variable formulation is employed in order to achieve high accuracy and performance. The bow shock is treated explicitly with a shock-fitting procedure [1].
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References
David Fabre, Laurent Jacquin, and Jörn Sesterhenn. Linear interaction of a cylindrical entropy spot with a shock. Physics of Fluids, August 2001.
G.Erlebacher, M.Y.Hussaini, and T.L.Jackson. Nonlinear strong shock interactions: A shock—fitted approach. Theoret.Comput.Fluid Dynamics, 11: 1–29, 1998.
P. Hall, M. Malik, and D.I. Poll. On the stability of an infinite swept attachment—line boundary layer. Proc. R. Soc. Lond., A(395): 229–245, 1984.
G. Hämmerlin. 50 Jahre Grenzschichtforschung, chapter Zur Instabilitätstheorie der ebenen Staupunktströmung, pages 315–327. Vieweg, Braunschweig, 1955.
E. Kerschen. Boundary layer receptivity. In AIAA Paper No. 89–1109, 1989.
David A. Kopriva. Spectral solution of the viscous blunt—body problem. AIAA Journal, 31 (7), July 1993.
Anne Le Duc. Simulation numerique Directe des Instabilites clans l’Ecoulement Tridimensionel Compressible Hiemenz. PhD thesis, Laboratoire de Mecanique des Fluides, EC Lyon & Fachgebiet Strömungsmechanik, TU München, 2001.
Sanjiva K. Lele. Compact finite difference schemes with spectral-like resolution. Journal of Computational Physics, 103: 16–42, 1992.
Ray-Sing Lin and Mujeeb R. Malik. On the stability of attachment—line boundary layers. part 2. the effect of leading edge curvature. J. Fluid Mech., 333: 125–137, 1997.
Akira Murakami, Egon Stanewsky, and Paul Krogmann. Boundary—layer transition on swept cylinders at hypersonic speeds. AIAA Journal, 34 (4): 649–654, 1996.
D.1.A. Poll. Transition description and prediction in three-dimensional flows. In Special Course on Stability and Transition of laminar Flow, pages 5/1–5/23. AGARD, 1984.
H.S. Ribner. Convection of a pattern of vorticity through a shock wave. Technical Report TR 1164, NACA, 1953.
Florian Schwertfirm. DNS von Instabilitäten in der dreidimensionalen kompressiblen Strömung entlang der Vorderkante eines gepfeilten Tragflügels. Master’s thesis, TU-München, Fachgebiet Strömungsmechanik, August 2002.
Jörn Sesterhenn. A characteristic—type formulation of the Navier—Stokes equations for high order upwind schemes. Computers & Fluids, 30 (1): 37–67, 2001.
P.R. Spalart. Direct numerical study of leading edge contamination. Technical Report CP-438, Fluid Dyn. of 3D Turb. Shear Flows and Transition, AGARD, 1988.
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Sesterhenn, J., Friedrich, R. (2004). Receptivity Study of the Attachment-Line Instability on a Blunt Body in Supersonic Flow. In: Breitsamter, C., Laschka, B., Heinemann, HJ., Hilbig, R. (eds) New Results in Numerical and Experimental Fluid Mechanics IV. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 87. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-39604-8_39
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DOI: https://doi.org/10.1007/978-3-540-39604-8_39
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