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Numerical shock propagation using geometrical shock dynamics

Henshaw, W. D. and Smyth, N. F. and Schwendeman, D. W. (1986) Numerical shock propagation using geometrical shock dynamics. Journal of Fluid Mechanics, 171 . pp. 519-545. ISSN 0022-1120. doi:10.1017/S0022112086001568.

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A simple numerical scheme for the calculation of the motion of shock waves in gases based on Whitham's theory of geometrical shock dynamics is developed. This scheme is used to study the propagation of shock waves along walls and in channels and the self-focusing of initially curved shockfronts. The numerical results are compared with exact and numerical solutions of the geometrical-shock-dynamics equations and with recent experimental investigations.

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Additional Information:© 1986 Cambridge University Press. Received 2 August 1985 and in revised form 21 January 1986. Published Online April 21 2006. The authors wish to thank Professor G. B. Whitham for many helpful discussions about the work presented in this paper. This research was supported by the ONR (contract numbers N00014-75-C-0702 and N00014-85-K-0403), the DOE (contract number DE-AM03-76SF00767) and the ARO (contract number DAAG29-85-K-0092). The numerical calculations were performed on the Caltech Applied Mathematics IBM 4341 computer and we gratefully acknowledge the IBM corporation for their support.
Funding AgencyGrant Number
Office of Naval Research (ONR)N00014-75-C-0702
Office of Naval Research (ONR)N00014-85-K-0403
Department of Energy (DOE)DE-AM03-76SF00767
Army Research Office (ARO)DAAG29-85-K-0092
Record Number:CaltechAUTHORS:20120627-083849017
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Official Citation: W. D. Henshaw, N. F. Smyth and D. W. Schwendeman (1986). Numerical shock propagation using geometrical shock dynamics. Journal of Fluid Mechanics, 171 , pp 519-545 doi:10.1017/S0022112086001568
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:32125
Deposited By: Ruth Sustaita
Deposited On:27 Jun 2012 15:59
Last Modified:09 Nov 2021 21:15

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