We report results of Eulerian hydrodynamic simulations of detonation shock waves propagating through open cell foams constructed of aluminum, polymethylmethacrylate, and lead at approximately 20% relative density in nitromethane. By varying pore sizes, as well as material impedance, we predict the dynamic responses at the mesoscale using a reactive flow model in the ALE3D soft-ware package. We explain predictions of the detonation profile of each explosive system, along with the stress-strain response of the foams therein. Finally, we describe predictions of a radially expanding detonation front and apply the theory of Detonation Shock Dynamics to the expansion rate of the shock front.