Abstract
The system of Navier-Stokes equations, which includes three equations of motion in regions with a dynamically varying geometry of the computational domain was used to describe the wave processes. The velocity vector field is used as input information for calculating the dynamics of impurity propagation in marine systems. The article considers construction and investigation of parallel algorithms for the numerical realization of 3D models of suspended matter transportation and deposition and 2D models of bottom sediment transportation in sea coastal systems on the basis of explicit schemes with regularization terms that provide improved stability quality. The developed models take into account coastal currents and stress near the bottom caused by wind waves, turbulent spatial-three-dimensional motion of the water medium, particle size distribution and porosity of bottom sediments and hydraulic size of suspended particles, complicated shoreline shape and bottom relief and other factors. The practical significance of numerical algorithms and the complex of programs that realize them consists in the possibility of their application in the study of processes in coastal water systems, as well as in constructing the velocity and pressure field of the aquatic environment.
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