Mathematical Modeling of the Hydrodynamic Processes of Shallow Water Taking Into Account the Processes of Salt and Heat Transfer

Abstract

The paper describes a three-dimensional mathematical model of hydrodynamics taking into account the salt and heat transfer processes. Schemes with weights were used for approximation the diffusion-convection-reaction equation in time. The approximation of calculation problem of water environment velocity field of spatial variables was performed on the basis of the balance method taking into account the filling coefficients of control domains. The stationary modes of heat and salt transfer problem were investigated. Based on the monitoring of water area, threedimensional mathematical models of water environment transport were developed for prediction possible development scenarios of the Azov Sea ecosystem to avoid the occurrence of anaerobic infection areas and take timely measures for their localization. The software that allows modeling hydrodynamic processes in shallow waters with complex spatial structures of currents taking into account the salts and heat transport is given.