WATER WAVE EQUIVALENT OF MACH-REFLECTION

Study on Mach Reflection and Mach Configuration

Shock reflection is a fundamental phenomenon in studying compressible flow. Since Ernst Mach first studied the reflection phenomena of shock waves in 1878 [6] great amount of research works on such phenomena, mainly experiments and computations, was proceeded. In gas dynamics when a shock wave meets an obstacle in its propagation process the shock reflection occurs generally. There are various ...

On asymptotically equivalent shallow water wave equations

The integrable 3rd-order Korteweg-de Vries (KdV) equation emerges uniquely at linear order in the asymptotic expansion for unidirectional shallow water waves. However, at quadratic order, this asymptotic expansion produces an entire family of shallow water wave equations that are asymptotically equivalent to each other, under a group of nonlinear, nonlocal, normal-form transformations introduce...

The Mach Reflection of Weak Shocks

We present numerical solutions of weak shock Mach reflections that contain a remarkably complex sequence of supersonic patches, triple points, and expansion fans immediately behind the leading triple point. This structure resolves the von Neumann triple point paradox of weak shock Mach reflection. During the second world war, von Neumann carried out an extensive study of shock reflection [5]. H...

Targeted Mach Wave Elimination

First Trace for Irregular Shock Wave Process in Weak Mach Reflection

Referring to von Neumann's words, transition from a twoto a three-shock reflection configuration in the weak domain presents some very considerable theoretical difficulties. It nonetheless remains an observed fact that such a transition does indeed occur in the real world. This paper describes the novel experimental technique and the results which for the first time did yield a "footprint" that...