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Anomalous reflection of a shock wave at a fluid interface

Published online by Cambridge University Press:  26 April 2006

John W. Grove  and
Ralph Menikoff
John W. Grove
Affiliation:
Department of Applied Mathematics and Statistics, State University of New York at Stony Brook, Stony Brook, NY 11794, USA
Ralph Menikoff
Affiliation:
Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM 87545, USA
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Abstract

Several wave patterns can be produced by the interaction of a shock wave with a fluid interface. Regular wave patterns have previously been explained by a shock-polar analysis. We focus on an irregular wave pattern that typically occurs when a shock passes from a medium of high to low acoustic impedance. Curvature of either the shock front or contact causes the flow to bifurcate from a locally self-similar quasi-stationary shock diffraction, to an unsteady anomalous reflection. We show that the anomalous reflection wave pattern can be explained with a modified shock-polar analysis in which the geometric node velocity is replaced by a downstream boundary condition. Anomalous reflection is analogous to the transition from a regular to a Mach reflection when the reflected wave is a rarefaction instead of a shock. These bifurcations have been incorporated into a front-tracking code that provides an accurate description of wave interactions. Numerical results for two illustrative cases are described: a planar shock passing over a bubble, and an expanding shock impacting a planar contact.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 219 , October 1990 , pp. 313 - 336
Copyright
© 1990 Cambridge University Press

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