The work contains the construction and software implementation of related software systems designed for mathematical modeling of processes occurring in coastal water systems. The space-two-dimensional model of sediment transport in shallow waters allows to forecast the dynamics of bottom topography changes by reason of the movement of water and solid particles, to take into account the porosity of the soil, the critical shear stress at which begins the movement of sediment, turbulent exchange, dynamically changing geometry of the bottom, wind currents and friction on the bottom. The mathematical model of motion of a multicomponent air, takes into account factors such as the transport of pollutants and heat; the effect of vegetation; change in the coefficient of turbulent exchange; water transfer from the liquid to the gaseous state and others.

Keywords: multiprocessor computer system, grid equations, suspended solids, sediment

The work is devoted to modeling sediment transport in shallow waters. Results of mathematical and numerical modeling can be applied in practice to justify the design and construction of hydraulic structures to predict the formation of the bottom topography (eg predicting sediment transport), to address issues related to the protection of the recorded ports and channels, weather impacts to the design, to determine the optimal routes maritime access channels, etc.

Keywords: mathematical modeling, hydrodynamics, transport of substances, the Navier-Stokes equation of diffusion-convection-reaction