Numerical and theoretical analysis of shock waves interaction and reflection

This paper will show numerical and theoretical analysis of shock waves interaction and reflection. In this paper some characteristics of non-steady, compressible flow are explored, including compression and expansion waves, interaction and reflection of waves. The work to be presented herein is a Computational Fluid Dynamics investigation of the complex fluid phenomena that occur inside a three-dimensional region, specifically with regard to the structure of the oblique shock waves, the reflected shock waves and the interactions of the shock waves. The flow is so complex that there exist oblique shock waves, expansion fans, slip surfaces, and shock wave interactions and reflections. The flow is non-steady, viscous, compressible, and high-speed supersonic. This paper will show a relationship between the Mach numbers and the angles of the reflected shock waves, over a double step and opposed wedges. The aim of this paper is to develop an understanding of the shock waves' interaction and reflection in a confined space and to develop a relationship between the Mach number, the geometry of the channel and the strength of the reflected shock waves. In this paper a global comparison is made between the numerical method and the classical method.