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Reconsideration of oblique shock wave reflections in steady flows. Part 2. Numerical investigation

Published online by Cambridge University Press:  26 April 2006

J. Vuillon
Affiliation:
Systemes Energetiques et Transferts Thermiques, Universite de Provence, Marseille, France
D. Zeitoun
Affiliation:
Systemes Energetiques et Transferts Thermiques, Universite de Provence, Marseille, France
G. Ben-Dor
Affiliation:
Pearlstone Center for Aeronautical Engineering Studies, Department of Mechanical Engineering, Ben-Gurion University of the Negev, Beer Sheva, Israel

Abstract

The reflection of shock waves over straight reflecting surfaces in steady flows was investigated numerically with the aid of the LCPFCT algorithm. The findings completely supported the experimental results which were reported in Part 1 of this paper (Chpoun et al. 1995). In addition, the dependence of the resulting shock wave configuration on the distance between the trailing edge of the reflecting wedge and the bottom surface, inside the dual-solution domain, was studied. As a result of this study, as well as the one reported in Part 1, the state of the art of shock wave reflections in steady flows was reconsidered.

Type
Research Article
Copyright
© 1995 Cambridge University Press

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References

Anderson, J. D. 1982 Modern Compressible Flow. McGraw-Hill.
Auld, D. J. & Bird, G. A. 1976 The transition from regular to Mach reflection. AIAA 9th Fluid and Plasma Dynamics Conf., San-Diego, California, July 14–16. (See also AIAA Paper 76–322.)
Azevedo, D. J. 1989 Analytical prediction of shock patterns in a high-speed wedge bounded duct. PhD Thesis, Dept. Mech. & Aero. Engng, State University of NY Buffalo.
Azevedo, D. J. & Liu, S. L. 1993 AIAA J. 31, 8390.
Ben-Dor, G. 1991 Shock Wave Reflection Phenomena. Springer.
Boris, J. P., Landsberg, A. M., Oran, E. S. & Gardner, J. H. 1993 LCPFCT — A flux corrected transport algorithm for solving generalized continuity equations. Laboratory of Computational Physics and Fluid Dynamics, Naval Research Laboratory Report.
Chpoun, A., Passerel, D., Li, H. & Ben-dor, G. 1995 J. Fluid Mech. 301, 1935.
Henderson, L. F. & Lozzi, A. 1975 J. Fluid Mech. 68, 139155.
Henderson, L. F. & Lozzi, A. 1979 J. Fluid Mech. 94, 541559.
Hornung, H. G. & Kychakoff, G. 1977 Proc. 11the Intl Symp. Shock Tubes & Waves Seattle, Washington, USA, pp. 296302.
Hornung, H. G., Oertel, H. & Sandeman, R. J. 1979 J. Fluid Mech. 90, 541560.
Hornung, H. G. & Robinson, M. L. 1982 J. Fluid Mech. 123, 155164.
Landau, L. D. & Lifshitz, E. M. 1957 Fluid Mechanics. Pergamon.
Li, H. 1995 Reconsideration and modification of analytical models of shock and detonation wave reflections. PhD Thesis, Dept Mech. Engng, Ben-Gurion University of the Negev.
Liepmann, H. W. & Roshko, A. 1957 Elements of Gasdynamics. John Wiley and Sons.
Neumann, J. von 1963 Collected Works (ed.) A. H. Taub, vol. 6. Pergamon.
Vuillon, J. 1994 Modelisation et simulation numerique des ecoulement confinés Eulerilus instationaire. PhD Thesis, Dept. Milieux hors d'Equilibre, Université de Provence. Marseille.