Abstract
Given the observations at the section of the Ob river below the dam location of the Novosibirsk Hydropower Station, the calculations of water level dependence on water discharge and ice hole length in winter are carried out by the model of nonstationary hydrodynamic and ice-thermal processes. Some algorithm is developed that uses the dependence and allows us to determine the optimum discharge at the dam section providing the stable functioning of the river water intakes near Novosibirsk. The results of calculations are given for various values of the roughness coefficient of the lower ice cover.
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REFERENCES
A. A. Atavin, A. T. Zinoviev, and A. V. Kudishin, “Ice-Thermal Regime of the Lower Pool of the Novosibirsk Hydraulic Power System,” Vodnye Resursy 41 (2), 123–130 (2014) [Water Resources 41 (2), 126–133 (2014)].
V. M. Belolipetskii and V. B. Tugovikov, “Mathematical Modeling of the Dynamics of the Ice Cover Edge in the Downstreem of Krasnoyarsk Hydroelectric Power Station,” Meteorologiya i Gidrologiya No. 9, 94–99 (1990).
A. A. Atavin, A. V. Kudishin, A. T. Zinoviev, “Mathematical Modeling of Hydrotechnical Construction Impact on Hydrothermal and Ice Cover Behavior of River,” Adv. Hydro-Sci. Eng. 1 (Part A), 1019–1024 (1993).
O. F. Vasil’ev, S. K. Goduniv, et al., “Numerical Method for Calculating the Long Waves Propagation in Open Channel and Its Application to the Problem of Flood,” Dokl. Akad. Nauk SSSR 151 (3), 525–527 (1963).
R. A. Nezhikhovskii, “Roughness Coefficients of the Lower Surface of Sludge Ice Cover,” Trudy Gos. Gidrolog. Inst. No. 110, 54–82 (1964).
O. F. Vasil’ev and A. F. Voevodin, “Mathematical Modeling of Water Quality in Systems of Open Channels,” Dynamika Sploshnoi Sredy No. 2, 73–87 (1975).
V. M. Mishon, Practical Hydrophysics (Gidrometeoizdat, Leningrad, 1983) [in Russian].
Ya. L. Gotlib, R. V. Donchenko, A. I. Pekhovich, and I. N. Sokolov,Ice in Reservoirs and Downstreems of Hydroelectric Power Stations (Gidrometeoizdat, Leningrad, 1983) [in Russian].
A. I. Pekhovich, Base of Hydrodynamic and Ice-Thermal Processes (Energoatomizdat, Leningrad, 1983) [in Russian].
A. Wake and R. R. Rumer, “Modeling Ice Regime of Lake Eria,” J. Hydr. Division 105 (HY7), 824–844 (1979).
R. W. MacCormak and H. Lomax, “Numerical Solution of Compressible Viscous Flows,” Ann. Rev. Fluid Mach. 11 (1), 289–316 (1979).
B. Henderson-Sellers, Engineering Limnology (Pitman Advanced Pub. Program, Boston, 1984; Gidrometeoizdat, Leningrad, 1987).
I. Ya. Aleksandrov, V. I. Kvon, T. N. Filatova, and O. P. Zhukovskaya, “Mathematical Modeling of Ice-Thermal Conditions in Reservoirs under Large Thermal Working Load,” Meteorologiya i Gidrologiya No. 2, 73–78 (1992).
G. T. Orlob, Mathematical Modeling of Water Quality: Streams, Lakes, and Reservoirs (Willey–Backwell Publ., Chichester, 1983).
W. O. Wunderlich, “Heat and Mass Transfer between the Water Surface and the Atmosphere,” Laboratory Report, Vol. 14 (TVA Engineering laboratory, Norris, 1972).
Funding
The authors were supported by the State Task to the Institute for Water and Environmental Problems of the Siberian Branch of the Russian Academy of Sciences (project no. AAAA–A17–117041210241–4).
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Translated by T.E. Ovchinnikova
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Atavin, A.A., Zinoviev, A.T., Kudishin, A.V. et al. A Comprehensive Mathematical Model of the Hydrodynamic and Thermodynamic Processes in the Lower Pool of a Hydraulic Power Station. J. Appl. Ind. Math. 14, 407–415 (2020). https://doi.org/10.1134/S1990478920030011
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DOI: https://doi.org/10.1134/S1990478920030011