Mathematical modeling of hydrodynamic processes in shallow waters in the presence of pollutants of various origin, as well as areas covered with plastic waste

The paper covers the modeling of hydrodynamic processes in shallow waters presence pollutants various types, as well areas covered with plastic waste, including nano- and microplastics. simulation performed using new effective mathematical instruments, assimilation methods measurement data, restoration state function, diagnostics quality developed models, research sensitivity models to variations input integration scales. Interrelated non-stationary, spatially inhomogeneous hydrodynamics biological kinetics were numerically implemented. They describe non-linear hydrophysics, biogeochemical cycles, transport transformation suspensions sediments microplastic particles other pollutants, absorption it by zooplankton fish, movement through food, forecast their impact on main hydrobionts Azov-Black Sea basin, Azov Sea, Taganrog Bay, Gelendzhik Bay. take into account heat salt transport; complex, dynamically changing water geometry; friction bottom wind stresses; turbulent advective mass exchange three coordinate directions; Coriolis force; river flows; evaporation, temperature oxygen regimes. make possible improve accuracy hydrophysical waters, detect vortex structures currents that can be a natural pollution traps, microplastic. Based supercomputer, complex application has been designed adapted for solving predictive problems ecology resources management.