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In this article we present a new formulation and an associated algorithm forthe simultaneous numerical simulation of multiple condensed phase explosives indirect contact with each other, which may also be confined by (or interactingwith one or more) compliant inert materials. Examples include compositerate-stick problems and interaction of shock waves with chemically-activeparticles in condensed-phase explosives. There are several formulations whichaddress the compliant or structural response of confiners and particles due todetonations, but the direct interaction of explosives remains a challenge formost formulations and algorithms. The proposed formulation addresses thisproblem by extending the conservation laws and mixture rules of an existinghybrid formulation to model the interaction of multiple explosive mixtures. Analgorithm for the solution of the resulting system of partial differentialequations is presented, which includes a new robust method for the retrieval ofthe densities of the constituents of each explosive mixture. The algorithm isimplemented in a hierarchical adaptive mesh refinement framework and validatedagainst results from problems with known solutions. It is evaluated forrobustness for rate-stick and shock-induced flows in particle-laden explosivescase-studies. It is shown that the method can simulate the interaction ofdetonation waves produced by military grade and commercial explosives in directcontact, each with its own distinct equation of state and reaction rate law.The ability of the new model to simulate reactive particles which areexplicitly resolved in a heterogeneous explosive is demonstrated by acase-study of a shock wave interacting with a high explosive bead embedded inliquid nitromethane.

Reacting condensed phase explosives in direct contact