We investigate the evolution of cylindrical cellular detonation with different instabilities.The numerical results show that with decreasing initial temperature,detonation becomes more unstable and the cells of the cylindrical detonation tend to be irregular.For stable detonation,a divergence of cylindrical detonation cells is formed eventually due to detonation instability resulting from a curved detonation front.For mildly unstable detonation,local overdriven detonation occurs.The detonation cell diverges and its size decreases.For highly unstable detonation,locally driven detonation is more obvious and the front is highly wrinkled.As a result,the diverging cylindrical detonation cell becomes highly irregular.