The evolution of detonation waves in cylindrical explosives in driving tube is simulated in this paper. Eulerian finite volume method is used, in which the JWL(Jones-Wilkins-Lee) state equation is used for both explosives and detonation products, while the prefect gas state equation for air, and the ignition and growth model is used to calculate chemical reaction rates. The evolution of wave structures is obtained, which can calculate detonation speed accords well with experiential formula. It is also demonstrated that the peak pressure on the side inboard of the tube is above 800MPa, and due to the converge of shock waves, the peak pressure in the center of bottom is as high as 12.4GPa.