Geodesic
Mathematical modeling of icethermal regime of fresh and saline water basins
Sibirskij žurnal industrialʹnoj matematiki, Tome 15 (2012) no. 2, pp. 56-63

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We consider a one-dimensional three-layer model describing the growth of the ice cover of water basins of varying mineralization with account taken of the dependence of the freezing temperature on the salinity and the influence of snow cover. A developed numerical method is described. Examples of calculations are given for real objects (the Novosibirsk Reservoir, Lake Yarkul), a comparison with the measurement data is carried out.
Keywords: icethermics, icethermal regime of water basins, Stefan problem, freezing temperature, crystallization, sweep method, implicit finite-difference scheme.
Mots-clés : phase transition 
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     author = {A. F. Voevodin and T. B. Grankina},
     title = {Mathematical modeling of icethermal regime of fresh and saline water basins},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {56--63},
     publisher = {mathdoc},
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     number = {2},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2012_15_2_a5/}
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A. F. Voevodin; T. B. Grankina. Mathematical modeling of icethermal regime of fresh and saline water basins. Sibirskij žurnal industrialʹnoj matematiki, Tome 15 (2012) no. 2, pp. 56-63. http://geodesic.mathdoc.fr/item/SJIM_2012_15_2_a5/