Abstract
A mathematical model is presented, allowing the calculation of channel deformations of permafrost zone rivers caused by thermo-erosional niching under the effect of waves of different origin under the conditions of growing ambient temperature. The model is based on equations of transient fluid motion in two-dimensional formulation, Stefan equation for determining the displacement of water-ice phase transition interface, and mass conservation equations for transported sediments (deformation equations). The model was tested against a particular case of steady flow based on data of a laboratory experiment. Numerical experiments revealed the key factors of the process and allowed the impact of waves with different duration and intensity (spring floods and releases from engineering structures) on river channel to be analyzed.
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Original Russian Text © E.I. Debol’skaya, 2014, published in Vodnye Resursy, 2014, Vol. 41, No. 5, pp. 496–506.
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Debol’skaya, E.I. A mathematical model of channel deformations in permafrost zone rivers. Water Resour 41, 512–521 (2014). https://doi.org/10.1134/S0097807814050029
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DOI: https://doi.org/10.1134/S0097807814050029