Discrete model of the transport of suspended matter in the coastal zone of shallow water areas

The work is devoted to mathematical modeling of transport processes of substances in shallow waters. The article presents a discrete model of the transport of suspended matter in the coastal zone of shallow reservoirs, to build a where used grid method. For approximation tasks in a temporary variable splitting method applied to one-dimensional two-dimensional problem, which reduces the calculation time for the numerical tasks. In the approximation tasks of lifting, transport and deposition of suspended matter on the spatial variables taken into account, the occupancy of the cells, which increases the accuracy of the solution if the computational domain has complex geometry. The results of mathematical and numerical modelling can be applied in practice for the prediction of the formation of the bottom topography, in particular, prediction of sediment transport.