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Abstract: This paper presents a straightforward and easy parallel smoothed particle hydrodynamics(SPH) algorithm to reduce the calculation time in the traditional 3D SPH program. The basic idea, the task partition, the variable storage, the message passing, and the main stages of the parallel program are discussed. Two high-velocity impacts are numerically simulated as examples. It is shown that with about several million particles in twenty three nuclear parallel operations at the Galaxy computer of 5000 billion times of operations per second, each step needs about 8 seconds. The acceleration ratio is about 10, and the parallel efficiency is about 50 percent with a remarkable reduction of computation time.