In the present paper thecompressibleflowoftheunderwaterexplosionhasbeensimulatedusing One-fluid method along with the Eulerian-Lagrangian ALE method. Besides, the exact Riemann solver and an appropriate equation of state which is consistent with the thermodynamic behavior of water in underwater explosion, is employed. The two dimensional underwater explosion problem near a flat plate is modeled. In order to increase the accuracy of the method for simulating the wave front, the adaptive grid is

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... sed. The simulated underwater explosion results agreed well with other similar numerical simulations. The numerical results indicate the capability of the present study in simulating the physics of underwater explosion and modeling the fluctuations of explosive bubble and also predicting the creation and collapse of the caviation zone.