The present study focuses on the simulation of highly reactive two-phase flows associated with detonations. A hybrid scheme, that combines a high-order shock-capturing method and a second/fourth-order accurate, low dissipation scheme 1 is first validated by simulating blast wave discharges and shock-vortex interaction. The Large-Eddy Simulation model used in the present formulation is considered afterward in a fundamental study of shock-turbulence interaction. The solid phase tracking algorithm is then validated in supersonic environment. Finally, a detonative mixture composed of H2/O2/Ar, similar to an experimental configuration, 2 is simulated with and without the presence of solid aluminum particles. The explicit role of the particles in this environment is considered, and the presence of a Double − F ronted Detonation is analyzed.