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The interaction of a Normal Shock Wave with a Square Trench

: Falcovitz, J.; Heilig, W.; Igra, O.; Reichenbach, H.

19th International Symposium on Shock Tubes and Waves '93. Proceedings
Marseille, 1993
International Symposium on Shock Tubes and Waves <19, 1993, Marseille>
Conference Paper
Fraunhofer EMI ()
conservation laws; Erhaltungssatz; Schattenaufnahme; shadowgraphs; shock mach number; shock wave; shock wave reflection; Stoßmachzahl; Stoßwelle; Stoßwellenreflexion

The purpose of the present paper is to study, both experimentally and numerically, the interaction of a normal shock wave with a rectangular trench. The experimental part consists of a series of shadowgraphs taken in the course of a single shot at 20 µs time intervals. These shadowgraphs have clearly captured the main discontinuities which are present in the flow field, i.e., the shock wave penetration into the trench, its reflection from the various trench walls and the inception and evolution in time of contact surfaces and a vortex in the trench region. The experiments were conducted with two different incident shock wave Mach numbers: Ms. 1.300 and 2.085. The second part of the present paper contains a two-dimensional numerical solution performed by solving the hydrodynamic conservation laws -Euler equations- in plane-symmetric 2-D space and time, using the GRP method at the experimental initial and boundary conditions. The numerically evaluated flow field matches very closely the exerimentally observed wave pattern and vortex as is evident from the enclosed figure.