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We present a novel method using particle importance to accelerate the traditional smoothed particle hydrodynamics based fluid simulation. Reynolds number and vorticity are exploited as the new criteria to evaluate the importance for each particle. If a particle is unimportant, its current acceleration and velocity are used to update values in the next time step with the complex state updating step removed, in this way the computation time is saved. We also propose an improved surface tension model. The experiments demonstrate that this new method is not only easy to implement, but also greatly improves the simulation speed without visual quality sacrifice.