Ecological Safety of Coastal and Shelf Zones of Sea Ecological Safety of Coastal and Shelf Zones of Sea 2413-5577 20230405 Research Article Modelling Salt Water Intrusion into Main Branches of the Don Delta depending on Wind Situation Chikin A. L.
Russian Federation
chikin1956@gmail.com Kleshchenkov A. V.
Russian Federation
Chikina L. G.
Russian Federation
Federal Research Center Southern Scientific Center of the Russian Academy of Sciences Rostov-on-Don Russian Federation Southern Federal University Rostov-on-Don Russian Federation 20 12 2023 2023 4 56 72 15 06 2023 11 10 2023 02 10 2023 Copyright © 2023, A. L. Chikin, A. V. Kleshchenkov, L. G. Chikina 2023 A. L. Chikin, A. V. Kleshchenkov, L. G. Chikina https://creativecommons.org/licenses/by-nc/4.0/ https://ecological-safety.ru/en/repository/issues/2023/04/05/

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.

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

About the authors:

Aleksey L. Chikin, Chief Research Associate, the Southern Scientific Centre of the Russian Academy of Sciences (41 Chekhova Ave., Rostov-on-Don, 344006, Russian Federation), Dr. Sci. (Phys.-Math.), Senior Research Associate, SPIN-code: 3845-9760, ORCID: 0000-0002-4065-010X, Scopus Author ID: 8240627300

Aleksey V. Kleshchenkov, Leading Research Associate, the Southern Scientific Centre of the Russian Academy of Sciences (41 Chekhova Ave., Rostov-on-Don, 344006, Russian Federation), Ph.D. (Geogr.), ResearcherID: E-6619-2014, ORCID: 0000-0002-7976-6951, Scopus Author ID: 57016697100

Lyubov G. Chikina, Professor, Southern Federal University (105 Bolshaya Sadovaya St., Rostov-on-Don, 344006, Russian Federation), Dr. Sci. (Phys.-Math.), Associate Professor, SPIN-code: 4295-3950

Contribution of the authors:

Aleksey L. Chikin – study initiation, development of the numerical model; preparation of the initial version of the text; review of the literature on the study problem; text revision; construction of tables, graphs, diagrams

Aleksey V. Kleshchenkov – statement of the goals and objectives of the study, abstract writing, analysis and summary of the study results, drawing conclusions, review of the literature on the study problem, data collection and systematization, construction of tables, graphs, diagrams, computer work

Lyubov G. Chikina – selection and justification of numerical methods for solving equations, correction of the numerical model and calculations, computer implementation of algorithms

All the authors have read and approved the final manuscript.

Article text not included.

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