Two-dimensional centered wave flow patches to the Guderley Mach reflection configurations for steady flows in gas dynamics. (English) Zbl 1339.35225
Summary: In an attempt to resolve the von Neumann triple point paradox in shock reflection phenomenon, a new type of reflection configuration, called Guderley Mach reflection, was observed both in numerical simulations and physical experiments recently. In this type of reflection configuration, there exists a sequence of triple points, with a centered expansion fan and a supersonic patch at each triple point. In this paper, we present a mathematical analysis of the centered wave flow patches of Guderley Mach reflection. In order to construct such a flow patch, a centered wave problem is introduced. The existence of a global classical solution to the centered wave problem for the two-dimensional isentropic irrotational steady Euler equations is established.
Keywords:
centered wave problem; Euler equations; Guderley Mach reflection; characteristic decompositionReferences:
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