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In this paper, we introduce a fast and consistent smoothed particle hydrodynamics (SPH) technique which is suitable for convection–diffusion simulations of incompressible fluids. We apply our temporal blending technique to reduce the number of particles in the simulation while smoothly changing quantity fields. Our approach greatly reduces the error introduced in the pressure term when changing particle configurations. Compared to other methods, this enables larger integration time-steps in the transition phase. Our implementation is fully GPU-based to take advantage of the parallel nature of particle simulations. © 2012 Wiley Periodicals, Inc.