Abstract
Reflection of a shock from a solid wedge is a classical problem in gas dynamics. Depending on the parameters either a regular or a irregular (Mach-type) reflection results. We construct regular reflection as an exact self-similar solution for potential flow. For some upstream Mach numbers $M_I$ and isentropic coefficients $\gamma$, a solution exists for all wedge angles $\theta$ allowed by the sonic criterion. This demonstrates that, at least for potential flow, weaker criteria are false.
Citation
Volker Elling. "Regular Reflection in Self-Similar Potential Flow and the Sonic Criterion." Commun. Math. Anal. 8 (2) 22 - 69, 2010.
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