vmaitComputational Mathematics and Information TechnologiesComputational Mathematics and Information Technologies2587-8999Донской государственный технический университет10.23947/2587-8999-2021-1-1-36-43vmait-30Research ArticleСтатьиЧИСЛЕННОЕ МОДЕЛИРОВАНИЕ ГИДРОДИНАМИЧЕСКИХ ВОЛНОВЫХ ПРОЦЕССОВ В ПРИБРЕЖНОЙ РЕКРЕАЦИОННОЙ ЗОНЕ ЦИМЛЯНСКОГО ВОДОХРАНИЛИЩАHYDRODYNAMIC WAVE PROCESSES NUMERICAL MODELING IN THE COASTAL RECREATIONAL ZONE OF THE TSIMLYANSK RESERVOIRСухиновА. И.SukhinovA. I.

Сухинов Александр Иванович, член-корреспондент РАН, доктор физико-математических наук, профессор 

344000 Ростов-на-Дону, пл. Гагарина, д. 1

Sukhinov Alexander, corresponding Member of the Russian Academy of Sciences, Doctor of Science in Physics and Maths, Professor 

1st Gagarin Square, Rostov-on-Don

sukhinov@gmail.comСидорякинаВ. В.SidoryakinaV. V.

Сидорякина Валентина Владимировна, кандидат физико-математических наук 

347936 Таганрог, улица Инициативная, д. 48

Sidoryakina Valentina, Candidate of Science in Physics and Maths, Associate professor 

nitiative Street, Taganrog

cvv9@mail.ruПроценкоЕ. А.ProtsenkoE. A.

Проценко Елена Анатольевна, кандидат физико-математических наук 

347936 Таганрог, улица Инициативная, д. 48

Protsenko Elena, Candidate of Science in Physics and Maths, Associate professor 

nitiative Street, Taganrog

eapros@rambler.ruДонской государственный технический университетРоссияDon State Technical UniversityRussian FederationТаганрогский институт им. А.П. Чехова (филиал) РГЭУ (РИНЭ)РоссияTaganrog Institute of A.P. Chekhov (branch) RSUERussian Federation202121022023513643Copyright © Сухинов А.И., Сидорякина В.В., Проценко Е.А., 20232023Сухинов А.И., Сидорякина В.В., Проценко Е.А.Sukhinov A.I., Sidoryakina V.V., Protsenko E.A.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://www.cmit-journal.ru/jour/article/view/30

В настоящей работе представлены результаты расчетов гидрофизических характеристик волнового режима в районе аккумулятивного берега северо-западной части Цимлянского водохранилища. Для проведения расчетов использовалась, разработанная в авторском коллективе, гидродинамическая модель волновых процессов, базирующаяся на 3D математической модели, включающей три уравнения движения Навье-Стокса, уравнения неразрывности для несжимаемой жидкости. Дискретизация уравнений гидродинамики выполнена при использовании метода поправки к давлению. Численные алгоритмы и реализующий их комплекс программ использованы для определения поля давления, поля вектора скорости водной среды и построения эпюры давления при разных фазах волнения для заданного участка акватории водохранилища. Результаты исследования могут быть использованы при исследовании гидрофизических процессов, оценки гидродинамического воздействия на формирование береговой линии и рельефа дна крупных водохранилищ Юга России равнинного типа.

This paper presents the results of wave regime hydrophysical characteristics calculations in the area of the accumulative shore of the Tsimlyansky reservoir northwestern part. Wave hydrodynamics model based on 3D mathematical model that includes three Navier-Stokes motion equations, the continuity equations for an incompressible fluid was used. The discretization of the hydrodynamic equations was performed using the pressure correction method. Numerical algorithms and the software package implementing them are used to determine the pressure field, the water medium velocity vector field and to plot the pressure a given section of the reservoir water area. The results of the study can be used in the study of hydrophysical processes, assessment of the hydrodynamic impact on the formation of the coast-line and the bottom relief of large plaintype reservoirs in the Southern Russia. 

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The authors declare that there are no conflicts of interest present.