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On the question of universality of imploding shock waves

Hornung, H. G. and Pullin, D. I. and Ponchaut, N. F. (2008) On the question of universality of imploding shock waves. Acta Mechanica, 201 (1-4). pp. 31-35. ISSN 0001-5970.

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For the case of initially infinitesimally weak spherically and cylindrically imploding shocks, Ponchaut et al. (J. Fluid Mech., 560: 102-122, 2006) recently obtained universal solutions. We study the effect of starting the shock with an initially finite strength on the trajectory of the shock by performing numerical calculations for the incoming shock imploding spherically into a diatomic perfect gas. Deviations from the universal solution are extremely small. A solution for the initially infinitesimally weak shock obtained by using Whitham's (Linear and nonlinear waves, Wiley, New York, 1974) Shock Dynamics is virtually indistinguishable from the Ponchaut solution.

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Hornung, H. G.0000-0002-4903-8419
Additional Information:© Springer-Verlag 2008. Received: 9 March 2008. Revised: 27 March 2008. Published online: 5 August 2008. Although Professor Schneider’s extensive contributions include elements of experimental work, he is himself primarily an inspiring theoretical fluid mechanicist, from whom we have learned a lot. It is therefore fitting that we honor him at his anniversary with this theoretical contribution. Dedicated to Professor Wilhelm Schneider on the occasion of his 70th birthday.
Issue or Number:1-4
Record Number:CaltechAUTHORS:HORam08
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Official Citation:Hornung, H.G., Pullin, D.I. & Ponchaut, N.F. On the question of universality of imploding shock waves. Acta Mech 201, 31–35 (2008).
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:13287
Deposited By: Tony Diaz
Deposited On:10 Feb 2009 21:41
Last Modified:31 Jan 2020 00:40

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