The CE/SE(conservation element/solution element) method using adaptable unstructured meshes was derived and applied to calculate the inner and outer flow fields of multi-cycle two-phase pulse detonation engines(PDEs) with different types of nozzles.It was found that the propulsive performance of multi-cycle PDEs with nozzles differed a lot from that of one-cycle PDEs with nozzles.The Laval nozzle offered the highest average thrust in a cycle, while the plug-in-convergent-divergent nozzle provided the maximum impulse and fuel-specific impulse in the longest operation cycle when the nozzles were filled with fuel and the ambient pressure was 0.1MPa.