The flow fields associated with regular and irregular reflections of detonation waves in double-layer cylindrical (DLC) high explosives (HE) are analyzed, and an analytical model for predicting the detonation wave configurations is proposed. Regular reflection and three-shock Mach reflection during detonation wave propagation are discussed. Calculated results of pressure, flow velocity, and specific volume are presented and the Mach stem height is also determined based on mass conservation. The corresponding numerical simulation based on the Lee-Tarver model is developed to generate data comparable with an ordinary cylindrical charge. It is shown that steady convergent detonation wave propagation occurs in the DLC charge. The maximum pressure up to 4.0 times of Chapman-Jouguet (CJ) pressure is reached at the collision point related to the Mach reflection, and the predictions based on the proposed model correlate well with corresponding numerical results.