Regular reflection in self-similar potential flow and the sonic criterion. (English) Zbl 1328.76038

Summary: 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.


76H05 Transonic flows
76M10 Finite element methods applied to problems in fluid mechanics
Full Text: arXiv Euclid


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