Modelling Salt Water Intrusion into Main Branches of the Don Delta depending on Wind Situation

A. L. Chikin1,*, A. V. Kleshchenkov1, L. G. Chikina2

1 Federal State Budgetary Institution of Science "Federal Research Center Southern Scientific Center of the Russian Academy of Sciences", Rostov-on-Don, Russia

2 Federal State Autonomous Educational Institution of Higher Education "Southern Federal University", Rostov-on-Don, Russia

* e-mail: chikin1956@gmail.com

Abstract

The paper presents a mathematical model that combines a model of salinity distribution in the Sea of Azov and a model of substance transport in branches of the Don delta. In the channel model of the Don delta area, the input data are the water level and salinity in the recipient water body, Taganrog Bay. The hydrodynamic component of the model for the Sea of Azov is described by the shallow water equations, and the movement in branches of the Don delta is described by the Saint-Venant equations. The distribution of salt concentration in the sea and in the Don branches is determined using the convection–diffusion equations written for two-dimensional and one-dimensional cases, respectively. The problem was solved by finite difference methods on uniform grids. In the marine model, the resulting systems of linear algebraic equations were solved using the Aztec package. In the channel model, the LAPACK package was used. Depending on the wind situation over the Sea of Azov, the proposed model allows calculating the current parameters and salinity distribution in the entire Sea of Azov, including Taganrog Bay. These parameters are input data for the channel model, which further determines the velocity of currents, the water surface level, and salinity in the main branches of the Don delta. The paper compares the calculated values of hydrophysical parameters with the observed data obtained during sea expeditions. The comparison showed the adequacy of the model.

Keywords

mouth area, shallow water equations, Saint-Venant equations, transport equation, free surface level, computational experiment

Acknowledgments

The publication has been prepared under state assignment; state registration no. 122011900153-9. The work was performed on the equipment of the Joint Center for Scientific and Technological Equipment of the SSC RAS (research, development, approbation) No. 501994. The calculations were performed on the cluster of the High-Performance Computing Center of Southern Federal University.

For citation

Chikin, A.L., Kleshchenkov, A.V. and Chikina, L.G., 2023. Modelling Salt Water Intrusion into Main Branches of the Don Delta depending on Wind Situation. Ecological Safety of Coastal and Shelf Zones of Sea, (4), pp. 56–72.

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