  The objective of this work is to improve the robustness and accuracy of
numerical simulations of both ideal and non-ideal explosives by introducing
temperature dependence in mechanical equations of state for reactants and
products. To this end, we modify existing mechanical equations of state to
appropriately approximate the temperature in the reaction zone. Mechanical
equations of state of Mie-Gr\"{u}neisen form are developed with extensions,
which allow the temperature to be evaluated appropriately, and the temperature
equilibrium condition to be applied robustly. Furthermore the snow plow model
is used to capture the effect of porosity on the reactants equation of state.
We apply the methodology to predict the velocity of compliantly confined
detonation waves. Once reaction rates are calibrated for unconfined detonation
velocities, simulations of confined rate sticks and slabs are performed, and
the experimental detonation velocities are matched without further parameter
alteration, demonstrating the predictive capability of our simulations. We
apply the same methodology to both ideal (PBX9502, a high explosive with
principal ingredient TATB) and non-ideal (EM120D, an ANE or ammonium nitrate
based emulsion) explosives.
