The ignition and deflagration wave propagation in an enclosed stoichiometric H-2/O-2 mixture enriched with a low mass fraction of carbonaceous particles ignited via a temperature non-uniformity is studied using a one-dimensional numerical model. Different particle diameters, Volume fractions, and reactivities are used to investigate their effects on the combustion waves. Detailed chemical kinetics for H-2/O-2 are applied for the gas phase. Particle phase reactions are calculated using measured reaction probabilities for heterogeneous carbon reactions. Both phases being modeled as continua, the governing equations are solved using flux-difference-splitting schemes. A dynamically moving adaptive grid is applied in order to resolve reaction zones correctly.