High-order numerical simulation and modelling of the interaction of energetic and inert materials

Abstract

We present an integrated algorithm on a Eulerian grid, for multimaterial simulations of energetic and inert materials modelled by non-ideal equations of state. We employ high-resolution shock capturing numerical algorithms for each material inside its domain and use an overlap domain method across the interface, maintained by a recently developed, hybrid, level-set algorithm. For applications to condensed explosives we implement a non-ideal, wide-ranging equation of state and reaction rate law. For inert materials, like plastic, metal, water, etc., we implement a (linear in the pressure) Mie–Grüneisen, (U _p −U _s ), equation of state. We present a series of verifications of the integrated multimaterial code and show validations against experiment. We show examples of simulations of various experiments associated with real or planned experiments, some of which contain energetic materials (specifically the condensed explosives PBX-9502 and PBX-9501).

Keywords:

• Multimaterial simulations
• Energetic materials
• Validation
• Verification

Acknowledgements

This work has been supported by Los Alamos National Laboratory, DOE/LANL 3223501019Z and US Air Force Research Laboratory, Munitions Directorate F08630-00-1-0002 and the Air Force Office of Scientific Research, Mathematics FA9550-06-1-0044. A earlier version was issued as Los Alamos report number LA-UR-05-8160. Comments and feedback from J. Bdzil and T. Aslam in regards to the interface modelling are appreciated.