Application of the regularized shallow water equations for numerical simulation of seiche level oscillations in the Sea of Azov

Abstract

A mathematical model for calculating the currents in the sea area scale was developed for the first time within an algorithm of regularized shallow water equations. The model and the numerical algorithm are described as applied to the topology and natural features of the Sea of Azov. The results of the calculations of hydrodynamic currents in the Sea of Azov in the presence of typical seiche waves caused by tidal or wind influences are presented.