| Summary: | 碩士 === 國立交通大學 === 土木工程系 === 90 === This study is an extension of Hsu & Yeh’s (1996) 1-D explicit finite analytic model for single rectangular channel flow simulation. The extended model has the capability of simulating junction and division flows. The solutions on staggered grids are obtained by obeying the Courant condition. Equal stage is adopted as the internal boundary condition at the junction or division; the discharge or stage is specified at the upstream or downstream boundary according to the given flow characteristics. To test the accuracy of the model, we compare the simulated results with Tamkang University’s experimental data. The numerical simulations include the cases with junction angles of 450 and 900, and division angles of 750 and 900, respectively. For junction flows, the upstream depths in the main channel and the branch channel are compared; for division flow, the downstream depths in the main channel are compared. The simulated results are satisfactory except the cases of junction flow with junction angle of 900 and high discharge ratios. Under this condition, the simulated depths in the upstream branch channel are lower than those obtained from experiments. In addition, the simulation results for unsteady junction and division flows with angles of 300 are satisfactory.
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