Phys. Rev. Lett. 87, 074501 (2001) [4 pages]Focusing of Noncircular Self-Similar Shock WavesReceived 7 May 2001; published 27 July 2001 We study the focusing of noncircular shock waves in a perfect gas. We construct an explicit self-similar solution by combining three convergent plane waves with regular shock reflections between them. We then show, with a numerical Riemann solver, that there are initial conditions with smooth shocks whose intermediate asymptotic stage is described by the exact solution. Unlike the focusing of circular shocks, our self-similar shocks have bounded energy density. © 2001 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.87.074501
DOI:
10.1103/PhysRevLett.87.074501
PACS:
47.40.Nm, 47.54.+r
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