Calibration of Hydraulic Flow and Sediment of Quasi-Two-Dimensional Model of Shiono and Knight in Zaremrood River

Document Type : Original Article

Authors

1 Dep. of Water Engineering, Faculty of Water and Soil, Gorgan University of Agricultural Sciences and Natural Resources, Golestan.

2 Department of Water Engineering., Faculty of Soil and Water Engineering, Gorgan University of Agricultural Sciences and Natural Resources, Iran

3 Department of Water Engineering., Faculty of Soil and Water Engineering, Gorgan University of Agricultural Sciences and Natural Resources

10.22125/iwe.2023.173241

Abstract

In this study, the calculation of hydraulic flow and sediment (suspended load and total load) of Zaremrood river located in Mazandaran province has been investigated using Shiono and Knight quasi-two-dimensional model. This model is based on the Navier-Stokes continuity and momentum equations and is simplified by depth averaged concept. For this purpose, using the finite element method, this model was solved numerically and the lateral velocity distribution were calibrated at the Garmrood hydrometric station. Comparison of obtained results by Shiono and Knight model in different flow discharges against measured data indicates the high accuracy of the model for lateral velocity distribution. Afterward, by using the computed lateral velocity distribution, the distribution of suspended load and total load across the river was simulated. The results showed that among the 5 empirical suspended load equations selected in this study, the Einstein formula (1950) has the best accuracy in both one and quasi-two-dimensional modeling cases. This relationship in one-dimensional state with standard deviation of discrepancy ratio of 0.56% has a higher accuracy than the Rouse (1937) and Brooks (1963) sedimentary relations with a standard deviation of 0.52% and 2.47%, respectively. Finally, among the 5 experimental relationships of the total load studied, Meyer-Peter-Muller (1973), Ackers-White (1973) and Engelund-Hansen (1967) sedimentary relationships with discrepancy ratios of 66.67, 41.67 and 16.67, respectively presented the best results in one-dimensional mode, and the accuracy of all three methods was better in two-dimensional mode than in one-dimensional mode. Finally, it was found that the accuracy of suspended load and total load modeling in quasi-two-dimensional mode is more than one-dimensional, which shows the high impact of Shiono and Knight model in simulation of hydraulic flow and sediment.
 

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