Mathematical Model of Suspended Particles Transport in the Estuary Area, Taking into Account the Aquatic Environment Movement

Alexander Sukhinov, Alexander Chistyakov, Inna Kuznetsova, Yulia Belova () and Alla Nikitina
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Alexander Sukhinov: Department of Mathematics and Computer Science, Don State Technical University, 344002 Rostov-on-Don, Russia
Alexander Chistyakov: Department of Mathematics and Computer Science, Don State Technical University, 344002 Rostov-on-Don, Russia
Inna Kuznetsova: Department of Mathematics and Computer Science, Don State Technical University, 344002 Rostov-on-Don, Russia
Yulia Belova: Department of Mathematics and Computer Science, Don State Technical University, 344002 Rostov-on-Don, Russia
Alla Nikitina: Department of Mathematics and Computer Science, Don State Technical University, 344002 Rostov-on-Don, Russia

Mathematics, 2022, vol. 10, issue 16, 1-17

Abstract: A large amount of contaminants enter marine systems with river runoff, so the purpose of the study is to model the transport of suspended particles in the estuary area. To describe hydrodynamic and hydrophysical processes, the mathematical model of the suspended particles transport was used, supplemented by a three-dimensional mathematical model of hydrodynamics, used to calculate the fields of the aquatic environment movement velocity vector, and equation for calculating the variable density. The approximation of the equations for calculating the velocity field by spatial variables is based on the splitting schemes for physical processes with fluid volume of the control areas, which allows for us to consider the complex geometry of the coastline and the bottom. The suspended particles transport model is approximated using splitting schemes for two-dimensional and one-dimensional problems. Numerical experiments were carried out to simulate the aquatic environment movement in the estuary area, the multicomponent suspension deposition, as well as mixing of waters in the mouth, taking into account the different density of the aquatic environment. The used models and methods allow to significantly improve the accuracy of modeling suspended particle transport and consider the factors influencing the studied processes.

Keywords: mathematical modeling; 3D hydrodynamics model; suspended particles transport model; fluid volume of the control areas method; splitting difference schemes; difference schemes with weights; Upwind Leapfrog difference schemes (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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