Non-uniqueness of solutions in asymptotically self-similar shock reflections

Abstract

The present study addresses the self-similar problem of unsteady shock reflection on an inclined wedge. The start-up conditions are studied by modifying the wedge corner and allowing for a finite radius of curvature. It is found that the type of shock reflection observed far from the corner, namely regular or Mach reflection, depends intimately on the start-up condition, as the flow "remembers" how it was started. Substantial differences were found. For example, the type of shock reflection for an incident shock Mach number $M=6.6$ and an isentropic exponent $\gamma =1.2$ changes from regular to Mach reflection between $44^{\circ }$ and $45^{\circ }$ when a straight wedge tip is used, while the transition for an initially curved wedge occurs between $57^{\circ }$ and $58^{\circ }$.

Cited by in corpus (2)

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• Viscous solution of the triple shock reflection problem