We propose a numerical methodology for the numerical simulation of distinct,interacting physical processes described by a combination of compressible,inert and reactive forms of the Euler equations, multiphase equations andelastoplastic equations. These systems of equations are usually solved bycoupling finite element and CFD models. Here we solve them simultaneously, byrecasting all the equations in the same, hyperbolic form and solving them onthe same grid with the same finite-volume numerical schemes. The proposedcompressible, multiphase, hydrodynamic formulation can employ a hierarchy offive reactive and non-reactive flow models, which allows simple to moreinvolved applications to be directly described by the appropriate selection.The communication between the hydrodynamic and elastoplastic systems isfacilitated by means of mixed-material Riemann solvers at the boundaries of thesystems, which represent physical material boundaries. To this end we deriveapproximate mixed Riemann solvers for each pair of the above models based oncharacteristic equations. The components for reactive flow and elastoplasticsolid modelling are validated separately before presenting validation for thefull, coupled systems. Multi-dimensional use cases demonstrate the suitabilityof the reactive flow-solid interaction methodology in the context ofimpact-driven initiation of reactive flow and structural response due toviolent reaction in automotive (e.g. car crash) or defence (e.g. explosivereactive armour) applications. Several types of explosives (C4, Deetasheet,nitromethane, gaseous fuel) in gaseous, liquid and solid state are considered.
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