STABILITY AND AMBIGUOUS REPRESENTATION OF SHOCK WAVE DISCONTINUITY IN MEDIA WITH ARBITRARY THERMODYNAMIC PROPERTIES

The non-linear analysis of the plane shock wave stability in media with arbitrary equation of state has been carried out in a systematic way. The one and multi-dimensional computations have been conducted in the inviscid and viscous formulations. The real and properly constructed model equations of state have been used. The behavior of shocks in the regions of their ambiguous representation overlapping the Hugoniot segments that meet the linear criteria of the shock wave instability has been studied. The evolution of shock waves being neutrally stable in keeping with the results of the linear analysis has been also simulated. The results obtained indicate basic distinctions from the linear theory predictions.