Shock-dispersed fuel (SDF) explosives use a small chemical charge to disperse a combustible fuel that burns in the post-detonation environment. Here, we model an SDF explosive in which the dispersed fuel is flake aluminum. We present a multiphase flow model that combines a second-order Godunov-type discretization coupled with a structured adaptive mesh refinement scheme.We use this model to simulate several calorimeter geometries and compare the simulations with experimental results.