Numerical simulation on gas-liquid two-phase detonation combustion of kerosene-air was conducted induced by shock wave focusing and setting obstacles. The numerical model of gas-liquid two-phase flow was established for the fuel injection

atomization and mixing of pulse detonation engine (PDE) by an Eulerian-Lagrangian formulation. Computational results show that the reflection and focusing of the ring shock wave can ignite the combustible mixture inside the capacity of detonation tube. Re-reflection and focusing of the reflecting shock wave could form higher temperature and pressure points (2700K

25MPa) near the obstacles

which can lead to local explosion

further generate stable pulse detonation combustion (velocity of 1900m/s

temperature of 2950K) and shorten the length of deflagration to detonation transition (DDT) to 0.45m effectively.