Sukhinov A.I., Sidoryakina V.V., Protsenko E.A., Protsenko S.V. Wind currents effects numerical simulation on the coastal zone of large reservoirs
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https://doi.org/10.15688/mpcm.jvolsu.2022.3.2
Alexander I. Sukhinov
Corresponding Member of the RAS, Doctor of Technical Sciences,
Head of Department of the Department of Mathematics and Computer Science,
Don State Technical University
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https://orcid.org/0000-0002-5875-1523
Gagarina Sq., 1, 344002 Rostov-on-Don, Russian Federation
Valentina V. Sidoryakina
Candidate of Physical and Mathematical Sciences, Doctoral Student,
Department of Mathematics and Computer Science,
Don State Technical University
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https://orcid.org/0000-0001-7744-015X
Gagarina Sq., 1, 344002 Rostov-on-Don, Russian Federation
Elena A. Protsenko
Candidate of Physical and Mathematical Sciences, Associate Professor,
Department of Mathematics,
Chekhov Taganrog Institute (branch) Rostov State University of Economics
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https://orcid.org/0000-0001-7911-3558
Initiative St., 48, 347936, Taganrog, Russian Federation
Sofya V. Protsenko
Candidate of Physical and Mathematical Sciences, Associate Professor,
Department of Mathematics,
Chekhov Taganrog Institute (branch) Rostov State University of Economics
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https://orcid.org/0000-0001-9656-8466
Initiative St., 48, 347936, Taganrog, Russian Federation
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 the 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.
Key words: large reservoirs, wind currents, hydrodynamics, mathematical model, numerical methods, parallel algorithms, numerical experiment.
Wind currents effects numerical simulation on the coastal zone of large reservoirs by Sukhinov A.I., Sidoryakina V.V., Protsenko E.A., Protsenko S.V. is licensed under a Creative Commons Attribution 4.0 International License.
Citation in English: Mathematical Physics and Computer Simulation . Vol. 25 No. 3 2022, pp. 15-30
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