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－A numerical model for wave diffraction-refraction in water of varying current and topography is proposed, and time-dependent wave mild-slope equation with a dissipation term and corresponding equivalent goving equations are presented. Two different expressions of parabolic approximations for the case of the absence of current are also given and analyzed. The influence of current on the results of simulation of waves is discussed. Some examples show that the present model is better than others in simulating wave transformation in large water areas. And they also show that the influence of current should be taken into account, on numerical modeling of wave propagation in water of strong current and coastal areas, otherwise the modeling results will be largely distorted.