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JOURNALS // Mathematical Physics and Computer Simulation // Archive

Mathematical Physics and Computer Simulation, 2022 Volume 25, Issue 3, Pages 15–30 (Mi vvgum333)

This article is cited in 3 papers

Modeling, informatics and management

Wind currents effects numerical simulation on the coastal zone of large reservoirs

A. I. Sukhinova, V. V. Sidoryakinaa, E. A. Protsenkob, S. V. Protsenkob

a Don State Technical University, Rostov-on-Don
b A.P. Chekhov Taganrog Institute (branch) of Rostov State Economical University

Abstract: Calculation and evaluation of wind currents hydrophysical characteristics of large reservoirs is the purpose of this work. Adequate dynamic mathematical models are necessary for conducting these studies and constructing appropriate algorithms implemented on supercomputers. The shallow water reservoirs hydrodynamic model is developed on the basis of three-dimensional mathematical model that includes the Navier — Stokes equations of motion in three coordinate directions, the equations of continuity of an incompressible fluid, the equations of heat transport and the equations of state or the density dependence of the aqueous medium on temperature. The discretization of the hydrodynamic equations is carried out by the pressure correction method. The developed numerical algorithms and the software package that implements them are used to study the pressure field and the aquatic medium velocity vector field for a given section of the reservoir water area. The practical significance lies in the possibility of their application for studying the hydrophysical processes of these territories, assessing the hydrodynamic impact on the large reservoirs coastal zone.

Keywords: large reservoirs, wind currents, hydrodynamics, mathematical model, numerical methods, parallel algorithms, numerical experiment.

UDC: 519.6
BBK: 26.222

Received: 22.04.2022
Accepted: 25.06.2022

DOI: 10.15688/mpcm.jvolsu.2022.3.2



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