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JOURNALS // Sibirskii Zhurnal Industrial'noi Matematiki // Archive

Sib. Zh. Ind. Mat., 2012 Volume 15, Number 2, Pages 56–63 (Mi sjim725)

This article is cited in 1 paper

Mathematical modeling of icethermal regime of fresh and saline water basins

A. F. Voevodina, T. B. Grankinab

a Institute of Hydrodynamics SB RAS, Novosibirsk, Russia
b Novosibirsk Division of the Institute for Water and Ecological Problems SB RAS, Novosibirsk, Russia

Abstract: 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, phase transition, Stefan problem, freezing temperature, crystallization, sweep method, implicit finite-difference scheme.

UDC: 519.635.8+532.616

Received: 25.02.2011



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