Abstract
In this paper, a review of the modern state of the river ice jamming numerical modeling is given. Descriptions and algorithms of mathematical models of ice jamming are presented. Questions related to the models practical implementation for the ice jamming forecasting are considered.
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References
V. P. Berdennikov, “Methods of Computation of Shuga and Ice Jam Masses on Engineering Structures,” Trudy GGI, No. 148 (1967) [Trans. State Hydrological Institute, No. 148 (1967)].
V. P. Berdennikov, “Physical Characteristics of Shuga and Ice Jams,” Trudy GGI, No. 129 (1965) [Trans. State Hydrological Institute, No. 129 (1965)].
G. I. Bolotnikov, “Mathematical and Hydraulic Ice Jams Modeling,” in Review Information, Ser.: Land Hydrology (Obninsk, 1989), No. 1 [in Russian].
V. A. Buzin, Ice Jams and Jam-induced River Floods (Gidrometeoizdat, St. Petersburg, 2004) [in Russian].
E. I. Debolskaya, Dynamics of Ice-Covered Water Streams (Izd. Mosk. Gos. Univ. Prirodoobystroistva, Moscow, 2003) [in Russian].
Yu. A. Deev and A. F. Popov, Spring Ice Jams in Channel Streams (Gidrometeoizdat, Leningrad, 1978) [in Russian].
A. A. Zaitsev, V. V. Kochetkov, R. A. Savel’ev, and E. S. Tret’jukhina, “Fundamentals of the Numerical Modeling of the Ice Jam-induced Floods,” in Proc. VI Conference on the Dynamics and Thermal Physics of Rivers, Reservoirs, and Coastal Zones of the Seas, 2004.
D. F. Panfilov, “The Steady Motion of Density Crushed Ice along a Direct River Section,” in Ice and Its Impact on the Hydro-engineering Structures (Gidrometeoizdat, Leningrad, 1972) [in Russian].
B. V. Proskuryakov, V. P. Berdennikov, and S. D. Vinnikov, “Computation of Stressed State and Thickness of Ice Jams in Rivers,” Mezhvuzovskii Sbornik, No. 74 (1984) [Interinstitute Collection, No. 74 (1984)].
M. G. Sofer, “Correlation Between the Channel Discharge Capacity and Water Levels at Jams,” Vestnik LGU, ser. Geol. Geogr., No. 6, 1 (1967) [Letters Leningrad State Unversity, No. 6, 1 (1967)].
D. D. Andres and P. F. Doyle, “Analysis of Breakup and Ice Jams on the Athabaska River at Fort McMurray, Alberta,” Can. J. Civ. Eng., No. 3, 11 (1984).
S. Beltaos, “River Ice Jam: Theory, Case Studies and Applications,” J. Hydraul. Eng., No. 10, 109 (1983).
J. F. Kennedy, “Ice Jams Mechanics,” in Proc. IAHR Symp. on Ice Problems (Hanover, 1975).
L. Liu and H. T. Shen, “Dynamics of Ice Jam Release Surges,” in Proc. of the 17th Symp. on Ice (St. Petersburg, 2004), Vol. 1.
River Ice Jams, Ed. by S. Beltaos (Water Resources Publ., LLC, 1995).
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Original Russian Text © V.A. Buzin, 2009, published in Meteorologiya i Gidrologiya, 2009, No. 2, pp. 68–79.
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Buzin, V.A. Mathematical modeling in solving problems of the ice jams computation and forecasting. Russ. Meteorol. Hydrol. 34, 110–117 (2009). https://doi.org/10.3103/S1068373909020071
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DOI: https://doi.org/10.3103/S1068373909020071