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In this paper, a mathematical model for the urban rainstorm water logging was established on the basis of one- and two-dimensional unsteady flow theory and the technique of non-structural irregular grid division. The continuity equation was discretized with the finite volume method. And the momentum equations were differently simplified and discretized for different cases. A method of special passage was proposed to deal with small-scale rivers and open channels. The urban drainage system was simplified and simulated in the model. The method of open slot was applied to coordinate the altate calculation of open channel flow and pressure flow in drainage pipes. The model has been applied in Tianjin City and the verification is quite satisfactory.