Geodesic
Numerical modelling of the hydrothermal regime of the Krasnoyarsk reservoir
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 11 (2018) no. 5, pp. 569-580.

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Mathematical models of hydrothermal processes for stratified flows in flow-through reservoirs are considered in the paper. Models are based on the equations of fluid mechanics and heat transfer. They are applied to describe the hydrothermal regime of the Krasnoyarsk reservoir. It is assumed that the reservoir depth is varied continuously, and the reservoir width is varied in a stepwise way. A numerical algorithm to study two-dimensional vertically stratified flows in terms of the streamfunction and the vorticity is considered. Parametrization of coefficients of the vertical turbulent exchange is proposed. Numerical results for currents at the dam area of the Krasnoyarsk reservoir are presented. The numerical model allows one to determine the temperature of water entering the intake openings in relation to the stratification, the position of water intake and the flow rate of water.
Keywords: numerical modelling, hydro-physics, Krasnoyarsk reservoir, stratified flows. 
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Victor M. Belolipetskii; Pavel V. Belolipetskii; Svetlana N. Genova. Numerical modelling of the hydrothermal regime of the Krasnoyarsk reservoir. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 11 (2018) no. 5, pp. 569-580. http://geodesic.mathdoc.fr/item/JSFU_2018_11_5_a3/

[1] O.F. Vasiliev, V.I. Kwon, Y.M. Lytkin, etc., “Stratified flow”, Hydromechanics, Results of science and technology, 8, VINITI, 1975, 74–131 (in Russian)

[2] I.I. Makarov, A.S. Sokolov, S.G. Schulman, Modeling hydrothermal processes of reservoirs-coolers of thermal and nuclear power plants, Energoatomizdat, M., 1986 (in Russian)

[3] V.M. Belolipetskii, S.N. Genova, V.B. Tugovikov, Yu.I. Shokin, Numerical modelling of the problems the channel ways of hydro-ice-thermics, Russian Academy of Science, Siberian Division, Institute of Computational Technologies, Krasnoyarsk Computing Center, 1993

[4] G.I. Marchuk, V.P. Kochergin, A.S. Sarkisyan ets., Mathematical models of circulation in ocean, Nauka, Novosibirsk, 1980 (in Russian) | MR

[5] C.S. Yih, Stratified flows, Acad. Press, New York, 1980 | MR | Zbl

[6] B.V. Arkhipov, V.V. Solbakov, D.A. Shapochkin, “Two-Dimensional vertical model of the temperature regime of the cooling reservoir”, Vodyanye resursy, 22:6 (1995), 653–666 (in Russian).

[7] O.F. Vasiliev, A.F. Voevodin, V.S. Nikiforovskaya, “Numerical modeling of temperature-stratified flows in systems of deep water bodies”, Computational technologies, 10:5 (2005), 29–38 (in Russian)

[8] O.B. Bocharov, A.T. Zinoviev, “Effect of selective water intake on annual the thermal regime of a deep reservoir”, Water resources management, 1992, no. 5, 52–59 (in Russian)

[9] C. Oberkampf, “Numerical study of temperature velocity fields in flowing reservoirs”, American Society of Mechanical Engineers. Heat transfer, 98:3 (1976), 10–18

[10] H.P. Pao, T.W. Kao, “Dynamics of Establishment of Selective Withdrawal from a Line Sink. Part I”, Journal of Fluid Mechanics, 65 (1974), 657 | DOI | Zbl

[11] I.J. Chen, G.M. Karadi, R.J. Lai, “Surface selective withdrawal in sedimentation basins”, ZAMM, 64:3 (1984), 155–162 | DOI | Zbl

[12] V.S. Kuskovsky, Yu.I. Podlipsky, V.I. Savkin, V.I. Shirokov, Formation of the banks of the Krasnoyarsk reservoir, Nauka, Novosibirsk, 1974

[13] N.A. Timofeev, Radiation regime of the oceans, Naukova Dumka, Kiev, 1983

[14] A.E. Gill, Atmosphere-Ocean Dynamics, International Geophysics Series, 30, Academic Press, New York–London, 1982

[15] G.P. Astrakhantsev, V.V. Menshutkin, N.A. Petrova, L.A. Rukhovets, Modeling of ecosystems of large stratified lakes, Nauka, St. Petersburg, 2003 (in Russian)

[16] V.M. Belolipetsky, S.N. Genova, “Investigation of hydrothermal and ice regimes in hydropower station bays”, International Journal of Computational Fluid Dynamics, 10:2 (1998), 151–158 | DOI

[17] I.P. Spitsin, V.A. Sokolova, General and river Hydraulics, Hydpometeizdat, L., 1990 (in Russian)

[18] V.A. Korenkov, The main results of field studies of temperature regime in the Krasnoyarsk hydroelectric power station and possible ways of solving problems in the lower bief. Whether it is possible to freeze the Yenisei river, Krasnoyarsk, 1994 (in Russian)

[19] N.N. Kalitkin, Numerical methods, Nauka, M., 1978 (in Russian) | MR

[20] V.W. Ekman, “On the influence of the Earths rotation on ocean currents”, Arkiv Mat., Arston., Fysik, 1905, no. 11, 1–53