Direct Simulation of Pathological Detonations

In previous papers we have demonstrated how the direct simulation Monte Carlo method can be used to simulate detonations. Those simulations were limited to exothermic reactions. In this paper exothermic and endothermic reactions are simulated. Under these circumstances, one obtains pathological detonations. That is, these simulations cannot be predicted using the well-known Chapman-Jouguet hypothesis. The details of these simulations can be illustrated using Rankine-Hugoniot plots and by presenting plots of other quantities of the detonation process. In addition, we describe how the detonation velocity can be changed significantly when endothermic and exothermic reactions are both present.