Application of the regularized shallow water equations for numerical simulation of casavie fluctuations in the Azov sea

Mathematical model and related finite-volume scheme for sea level evolution in the framework of regularized shallow water equations are described. Numerical algorithm is adapted to the topology and natural features of the Azov sea. Results of calculations of hydrodynamic flows in a typical sasevich (casavie) fluctuations in the Azov sea, emerging under the influence tidal or wind influences, are presented.