Focusing of noncircular self-similar shock waves |
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Authors: | Betelu S I Aronson D G |
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Institution: | Institute for Mathematics and its Applications, University of Minnesota, 400 Lind Hall, Minneapolis, Minnesota 55455, USA. |
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Abstract: | 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. |
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