Interaction of a Simple Expansion Wave with a Shock Wave in Two-Dimensional Flows of a Gas

Analytical discussions are made on two examples of interaction of a simple expansion wave with a shock wave. The first example is that of a head-on collision of a simple expansion wave with a shock wave. The second one is concerned with the case where a shock wave. interferes with a simple expansion wave behind it. For each case, the curvature of the shock wave is exactly obtained at the point of the interaction of the leading Mach line of the expansion wave with the shock wave.