Techniques for Calibrating Reaction Flow Models Derived from Reduced Euler Equations

We describe two reduced models based on detonation shock dynamics (DSD) and streamline theory (SLM) for the optimization of reactive flow models (RFM) which are used in hydrodynamic simulations. These models are derived from simplifications of the Euler Equations and are specialized for calibrating the parameter values of kinetic models that control quasi-steady-slate flow dynamics. Apart from a description of essential mathematical formulations we demonstrate the validity of these models by: (1) Comparing calibration results between the reduced models and standard Hydrocodes by computing diameter effect curves for PBX-9501, PBX-9502 and TNT using kinetic models and non-ideal equations of state (EOS). (2) Even though we believe that simple first-order reductions of each model are sufficient for calibrating RFMs, we also present higher order approximations of these models and discuss their feasibility. We found that incorporating shock acceleration in the DSD model is more practical than in the SLM. (3) Finally we study the feasibility of these reduced models for use in combined RFM of multiple reactions (CRFM) in the hopes that they could provide a simpler way to calibrate the broader parameter sets inherent in modeling aluminized explosives. Preliminary results of the proposed CRFM are compared with those from ALE3D using a Cheetah reaction flow model.