Von Neumann Reflection of Oblique Shock Waves

Abstract

Paper reports the results of numerical computations on the oblique reflection of weak shock waves over a wedge. To check the numerical resolution of the scheme, the results obtained by the Godunov scheme were compared with those from the TVD scheme. The results show that when the incident shock strength becomes weak, the difference between the two schemes becomes significant, while for comparatively strong shocks the results computed by the Godunov scheme coincide with those given by the TVD scheme. In general the TVD scheme captured shock discontinuities as well as the slipstream. To clarify the physical phenomena of the von Neumann reflection, entropy profiles behind the curved shock front were calculated. The condition of the von Neumann reflection for weak shock waves was explained quantitatively by assuming quasi stationary shock reflection.