A reaction progress variable modeling approach for non-ideal multiphase explosives

► A reaction progress variable description for non-ideal multiphase explosives is developed. ► The formulation is unique - a reaction progress variable for fully compressible, multiphase flows. ► The particle level model agrees well with data over a range of pressure and oxygen environments. ► System level simulations show good agreement well with shock pressure data. ► A key finding is the existence of an equivalence ratio that optimizes specific impulse.