This paper presents a hybrid one-dimensional (1D) and depth-averaged two-dimensional (2D) numerical model that may be used to simulate river flows with reduced computational load such as that with a 1D model, and without losing much accuracy like that with a 2D model. The time interval for 2D calculations, Δ
t2D, was set to be quite larger than that for 1D calculations, Δ
t1D, by introducing a new technique with high numerical stability to appreciably reduce the computational time, while 1D and 2D calculations were done separately. The present model was applied to the computation of flood flows in the Edogawa River in Japan with various values for Δ
t2D/Δ
t1D. The present model could significantly reduce the computational time and maintain high numerical accuracy comparable to that with 2D calculations even where Δ
t2D/Δ
t1D=100. We also noted that Δ
t2D/Δ
t1D=50 ensured efficient and accurate computation of flood flows.
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