Abstract: Two-phase detonation of RDX particles suspended in air was numerically studied with CE/SE method.Behind leading shock front of detonation,explosive particles are accelerated and heated by the gas flow.Energy is released to support propagation of detonation wave.Dust detonation in a shock tube was numerically simulated.Distribution of physical quantity behind leading shock front was calculated.Parameters of detonation were obtained and they agree well with those in a reference.Dust detonation in a complex channel was numerically simulated.It shows that CE/SE method simulates gas-solid two-phase detonation successfully.