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Numerical shock propagation using geometrical shock dynamics

Published online by Cambridge University Press:  21 April 2006

W. D. Henshaw ,
N. F. Smyth  and
D. W. Schwendeman
W. D. Henshaw
Affiliation:
Applied Mathematics Department, California Institute of Technology, Pasadena CA 91125, USA Present address: International Business Machines Corporation, Thomas J. Watson Research Center, P.O. Box 218, Yorktown Heights, NY 10598, USA.
N. F. Smyth
Affiliation:
Applied Mathematics Department, California Institute of Technology, Pasadena CA 91125, USA Present address: Department of Mathematics, University of New South Wales, Kensington, N.S.W. 2033, Australia.
D. W. Schwendeman
Affiliation:
Applied Mathematics Department, California Institute of Technology, Pasadena CA 91125, USA
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Abstract

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.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 171 , October 1986 , pp. 519 - 545
Copyright
© 1986 Cambridge University Press

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References

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