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The von Neumann paradox for the diffraction of weak shock waves

Published online by Cambridge University Press:  26 April 2006

P. Colella  and
L. F. Henderson
P. Colella
Affiliation:
Mail Stop L-316, Lawrence Livermore National Laboratory, P.O. Box 808, Livermore, CA 94550, USA
L. F. Henderson
Affiliation:
Mail Stop L-316, Lawrence Livermore National Laboratory, P.O. Box 808, Livermore, CA 94550, USA Permanent address: Department of Mechanical Engineering, University of Sydney, NSW 2006, Australia.
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Abstract

We present results from our experiments with the irregular reflection of shock waves in argon. We compare the data with the results we obtained numerically; the assumptions for the computational code were that we had unsteady, two-dimensional, compressible, inviscid, flow of a perfect gas. When precautions were taken to reduce the effects of the gas viscosity on the experimental data, we obtained very good agreement between the numerical and the experimental results for the ramp Mach number and the trajectory path triple-point angle, but there were discrepancies with the wave-angle data. The discrepancies were ascribed to the sensitivity of the data to both viscosity and to a singularity. We show that there are actually two weak irregular wave reflections, namely a classic Mach reflection (MR) and a new type, that we call a von Neumann reflection (NR). The structure of the NR is discussed in some detail, and so are the transition criteria for the various wave systems.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 213 , April 1990 , pp. 71 - 94
Copyright
© 1990 Cambridge University Press

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