We consider the numerical simulation of inviscid reactive flows with application to high density explosive detonation. The numerical model is based on the Euler equations and the Mie-Grüneisen equation of state extended to treat chemical energy release and expanded
states. The equations are computed with a Roe-Glaister solver on a Cartesian mesh. We present results for two substances, a binder and an explosive. Our solution method is verified against the exact solution of the shock tube problem for solid materials. We show under
what conditions a "physical" expansion shock can appear in this example. We then address the problem of modeling expanded states, and show results for a two-dimensional shock distraction around a sharp corner. In the last part of the paper, we introduce a detonation
model that extends the Mie-Grüneisen equation of state to enable high explosive simulations without the complexity of mixture equations of state. We conclude with two examples of
corner-turning computations carried out with a pressure-dependent reaction rate law
