Journal of Fluid Mechanics

Numerical shock propagation using geometrical shock dynamics

W. D.  Henshaw a1p1, N. F.  Smyth a1p2 and D. W.  Schwendeman a1
a1 Applied Mathematics Department, California Institute of Technology, Pasadena CA 91125, USA

Article author query
henshaw wd   [Google Scholar] 
smyth nf   [Google Scholar] 
schwendeman dw   [Google Scholar] 


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.

(Published Online April 21 2006)
(Received August 2 1985)
(Revised January 21 1986)

p1 Present address: International Business Machines Corporation, Thomas J. Watson Research Center, P.O. Box 218, Yorktown Heights, NY 10598, USA.
p2 Present address: Department of Mathematics, University of New South Wales, Kensington, N.S.W. 2033, Australia.