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Problems of Mathematical Modelling of Dynamics of Sub-Ice Fluxes

Author(s): Elena Debolskaya; Vladimir Debolsky

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Abstract: The problems of mathematical modelling of pollutant propagation in tidal ice-covered estuary and ice jams formation in river beds are presented. In the pollutant propagation model two plan directions are taken into account along and across of the flow with assumption of full mixing of the pollutant over the depth. The empirical relations for longitudinal and cross-sectional momentum transfer coefficients are used. The comparison of the calculation result with data of observations shows that the model is in satisfactory accordance with natural process. In the jam formation models water flows are described by one-dimensional Saint-Venan equations for narrow river beds and by two-dimensional equations for wide rivers with complex morphology. The ice destruction criteria were obtained and used at numerical calculating. The place and moment of ice cover destruction, speed of water level elevation caused by jam action and speed of jam propagation upstream may be calculated numerically used the model.

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Year: 2004

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