## 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.

### MSC:

 76H05 Transonic flows 76M10 Finite element methods applied to problems in fluid mechanics

### Keywords:

shock; regular reflection; sonic criterion; potential flow
Full Text:

### References:

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