Numerical Simulation of Sediment Transport in Unsteady Open Channel Flow
Abstract
:1. Introduction
2. Governing Equations
2.1. Nonequilibrium Sediment Transport Model
2.2. Numerical Methods
2.2.1. Godunov-Type Finite Volume Method
2.2.2. HLLC Approximated Riemann Solver
2.2.3. Well-Balanced Scheme for the VDSWEs
3. Results
3.1. Case 1: Standing Contact-Discontinuity
3.2. Case 2: One-Dimensional Dam-Break Flow over Mobile Bed
3.3. Case 3: Two-Dimensional Dam-Break Flow over Mobile Bed
3.4. Case 4: 1996 Lake Ha! Ha! Catastrophic Flood Event
4. Conclusions
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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Time (s) | Water Level | Bed Elevation | ||
---|---|---|---|---|
RMSE (cm) | MRE (%) | RMSE (cm) | MRE (%) | |
0.25 | 1.13 | 3.35 | 0.45 | 23.20 |
0.50 | 0.57 | 1.80 | 0.38 | 25.09 |
0.75 | 0.78 | 2.79 | 0.39 | 26.47 |
1.00 | 0.84 | 3.37 | 0.33 | 22.24 |
1.25 | 0.82 | 3.58 | 0.35 | 23.75 |
1.50 | 0.87 | 4.83 | 0.32 | 27.35 |
Average | 0.84 | 3.29 | 0.37 | 24.68 |
Gauge Number | RMSE (cm) | MRE (%) |
---|---|---|
1 | 1.71 | 15.11 |
2 | 2.07 | 12.66 |
3 | 2.17 | 12.72 |
4 | 1.59 | 13.81 |
5 | 1.39 | 18.90 |
6 | 1.49 | 20.73 |
7 | 1.58 | 21.91 |
8 | 1.98 | 21.50 |
Average | 1.75 | 17.17 |
Bed Profile (m) | RMSE (cm) | MRE (%) |
---|---|---|
0.20 | 1.24 | 13.03 |
0.70 | 1.67 | 32.65 |
1.45 | 0.91 | 17.20 |
Average | 1.27 | 20.96 |
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Duan, J.G.; Yu, C.; Ding, Y. Numerical Simulation of Sediment Transport in Unsteady Open Channel Flow. Water 2023, 15, 2576. https://doi.org/10.3390/w15142576
Duan JG, Yu C, Ding Y. Numerical Simulation of Sediment Transport in Unsteady Open Channel Flow. Water. 2023; 15(14):2576. https://doi.org/10.3390/w15142576
Chicago/Turabian StyleDuan, Jennifer G., Chunshui Yu, and Yan Ding. 2023. "Numerical Simulation of Sediment Transport in Unsteady Open Channel Flow" Water 15, no. 14: 2576. https://doi.org/10.3390/w15142576
APA StyleDuan, J. G., Yu, C., & Ding, Y. (2023). Numerical Simulation of Sediment Transport in Unsteady Open Channel Flow. Water, 15(14), 2576. https://doi.org/10.3390/w15142576