Systematic numerical calculations on the interaction of shock waves with a convex corner

The results of systematic numerical calculations of the interaction of plane shock waves with a convex corner are reported and compared with experiment. The calculations were carried out in a model of an inviscid gas using a relaxation method with self-similar variables. In the numerical solution, the positions of the shock waves can be identified reliably through a joint analysis of the isopycns, isobars, and lines of parabolic behavior, with no worse than 10 percent error when compared with experimental results. The calculation results are also shown as distributions of the dimensionless pressure over the surface of the corner, with the intensity of the shock waves decreasing with increasing angle at the bend in the generatrix. These calculations show that outside the region of the transient detachment of the gas flow from the surface of the corner, the numerical solution yields reliable information on the positions of the shock waves and the discontinuities.