Abstract
This paper presents the development, calibration and verification of a looped river network model. After introducing the governing equations, the established numerical model is calibrated employing measurements conducted on the Danube River and its two main tributaries in Serbia, the Sava and Tisa rivers. The calibration is done by altering the Strickler’s coefficient using three different approaches, assigning a constant value of the coefficient in a cross section, setting the coefficient as a function of discharge and, finally, connecting the Strickler’s coefficient to local depth. The verification is conducted by comparing the computed results, for all three of the considered methods, with measurements for the time interval from January 1st to December 31st of the year 2006. Careful examination of the obtained results helped to select the most suitable calibration method for future reference. The selected approach gave better agreement of computed and measured values, has a clear physical explanation and enables faster and easier calibration.
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Notes
rkm stands for river kilometer and essentially measures distance between cross sections in kilometers.
References
Aral, M.M., Zhang, Y., & Jin, S. (1998). Application of relaxation scheme to wave-propagation simulation in open-channel networks. Journal of Hydraulic Engineering, 124(11), 1125–1133.
Biringen, S., & Chow, C.-Y. (2011). An introduction to computational fluid mechanics by example. Hoboken: John Wiley & Sons.
Castellarin, A., Baldassarre, G.D., & Brath, A. (2009). Optimal cross-sectional spacing in Preissmann scheme 1D hydrodynamic models. Journal of Hydraulic Engineering, 135(2), 96–105.
Chau, K.W. (2004). Selection and calibration of numerical modeling in flow and water quality. Environmental Modeling and Assesment, 9, 169–178.
García-Navarro, M.P., & Savirón, J.M. (1992). Numerical simulation of unsteady flow at open channel junctions. Journal of Hydraulic Research, 30(5), 595–609.
Garcia-Navarro, P., & Saviron, J.M. (1992). McCormack’s method for the numerical simulation of one-dimensional discontinuous unsteady open channel flow. Journal of Hydraulic Research, 30(1), 95–105.
Gessler, D., Hall, B., Spasojevic, M., Holly, F., Pourtaheri, H., & Raphelt, N. (1999). Application of 3D Mobile Bed, Hydrodynamic model. Journal of Hydraulic Engineering, 125(7), 737–749.
Horvat, Z., Isic, M., & Spasojevic, M. (2015). Two dimensional river flow and sediment transport model. Environmental Fluid Mechanics, 15(3), 595–625.
Horvat, Z., & Horvat, M. (2015). Two dimensional heavy metal transport model for natural watercourses, River Research and Applications. doi:10.1002/rra.2943.
Husain, T., Abderrahman, W.A., Khan, H.U., Khan, S.M., Khan, A.U., & Eqnaibi, B.S. (1988). Flow simulation using channel network model. Journal of Irrigation and Drainage Engineering, 114(3), 424–441.
Islam, A., Raghuwanshi, N.S., & Singh, R. (2008). Development and application of Hydraulic simulation model for irrigation canal network. Journal of Irrigation and Drainage Engineering, 134(1), 49–59.
Lyn, D.A., & Goodwin, P. (1987). Stability of a General Preissmann Scheme. Journal of Hydraulic Engineering, 113(1), 16–28.
Martín-Vide, J.P., Moreta, P.J.M., & López-Querol, S. (2008). Improved 1-D modelling in compound meandering channels with vegetated floodplains. Journal of Hydraulic Research, 46(2), 265–276.
Meselhe, E.A., & Holly, F.H. Jr. (1997). Invalidity of Preissmann scheme for Transcritical flow. Journal of Hydraulic Engineering, 123(7), 652–655.
Nguyen, Q.K., & Kawano, H. (1995). Simultaneous solution for flood routing in channel networks. Journal of Hydraulic Engineering, 121(10), 744–750.
Patro, S., Chatterjee, C., Singh, R., & Raghuwanshi, N.S. (2009). Hydrodynamic modelling of a large flood-prone river system in India with limited data. Hydrological Processes, 23, 2774– 2791.
Refsgaard, J.C., Sørensen, H.R., Mucha, I., Rodak, D., Hlavaty, Z., Bansky, L., Klucovska, J., Topolska, J., Takac, J., Kosc, V., Enggrob, H.G., Engesgaard, P., Jensen, J.K., Fiselier, J., Griffioen, J., & Hansen, S. (1998). An integrated model for the Danubian Lowland—methodology and applications. Water Resources Management, 12, 433–465.
Samuels, P.G., & Skeels, C.P. (1990). Stability Linits for Preissmann’s scheme. Journal of Hydraulic Engineering, 116(8), 997–1012.
Sart, C., Baume, J.-P., Malaterre, P.-O., & Guinot, V. (2010). Adaptation of Preissmann’s scheme for transcritical open channel flows. Journal of Hydraulic Research, 48(4), 428–440.
Sun, A.Y., Green, R., Swenson, S., & Rodell, M. (2012). Toward calibration of regional groundwater models using GRACE data. Journal of Hydrology, 422-423, 1–9.
Venutelli, M. (2002). Stability and accuracy of weighed Four-Point implicit finite difference schemes for open channel flow. Journal of Hydraulic Engineering, 128(3), 281–288.
Vidal, J.-P., Moisan, S., Faure, J.-B., & Dartus, D. (2005). Towards a reasoned 1D river model calibration. Journal of Hydroinformatics, 7(2), 91–104.
Ward, N.D., Gebert, J.A., & Weggel, R.W. (2009). Hydraulic study of the Chesapeake and Delaware Canal. Journal of Waterway, Port, Coastal, and Ocean Engineering, 135(1), 24–30.
Wu, W. (2008). Computational river dynamics. London: Taylor & Francis Group.
Yousefi, S., Ghiassi, R., & Yousefi, S. (2011). Modelling and analyzing flow diversion in branching channels with symmetric geometry. River Research and Applications, 72, 805–813.
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This work was funded by the Ministry of Education and Science of the Republic of Serbia.
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Horvat, M., Horvat, Z. & Isic, B. Development, Calibration and Verification of a 1-D Flow Model for a Looped River Network. Environ Model Assess 22, 65–77 (2017). https://doi.org/10.1007/s10666-016-9517-3
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DOI: https://doi.org/10.1007/s10666-016-9517-3