vmaitComputational Mathematics and Information TechnologiesComputational Mathematics and Information Technologies2587-8999Донской государственный технический университет10.23947/2587-8999-2022-1-1-29-38vmait-25Research ArticleСтатьиРасчет гидрофизических характеристик волнового режима для внутренних пресноводных водоемов юга РоссииCalculation of wave hydrophysical characteristics for inland freshwater reservoirs of Southern RussiaСухиновА. И.SukhinovA. I.

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

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

Alexander I. Sukhinov - corresponding Member of the Russian Academy of Sciences, Doctor of Science in Physics and Maths, Professor, Don State Technical University.

1st Gagarin Square, Rostov-on-Don

cvv9@mail.ruСидорякинаВ. В.SidoryakinaV. V.

Сидорякина Валентина Владимировна - кандидат физико-математических наук, доцент.

347936 Таганрог, улица Инициативная, д. 48

Valentina V. Sidoryakina - PhD of Science in Physics and Maths, Associate professor, Taganrog Institute of A.P. Chekhov (branch) RSUE.

Initiative Street, Taganrog

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

Проценко Елена Анатольевна - кандидат физико-математических наук.

347936 Таганрог, улица Инициативная, д. 48

Elena A. Protsenko - PhD of Science in Physics and Maths, Associate professor, Taganrog Institute of A.P. Chekhov (branch) RSUE.

Initiative Street, Taganrog

cvv9@mail.ruПроценкоС. В.ProtsenkoS. V.

Проценко Софья Владимировна.

347936 Таганрог, улица Инициативная, д. 48

Sofya V. Protsenko.

Initiative Street, Taganrog

cvv9@mail.ruДонской государственный технический университетРоссияDon State Technical UniversityRussian FederationТаганрогский институт имени А.П. Чехова (филиал Ростовского государственного экономического университета)РоссияTaganrog Institute named after A.P. Chekhov (branch) of RSUERussian Federation202220022023612938Copyright © Сухинов А.И., Сидорякина В.В., Проценко Е.А., Проценко С.В., 20222022Сухинов А.И., Сидорякина В.В., Проценко Е.А., Проценко С.В.Sukhinov A.I., Sidoryakina V.V., Protsenko E.A., Protsenko S.V.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/25

Важную роль в управлении водными ресурсами играют внутренние пресноводные водоемы, основными видами использования которых являются: удовлетворение потребностей населения в пресной воде, ирригация, гидроэнергетика, судоходство, рыборазведение и т.п. Вместе с тем все чаще наблюдаются нежелательные и неизбежные нарушения природной среды и природного баланса экосистемы данных водных объектов. Серьезную проблему представляют существенное изменение рельефа дна, разрушение берегов, накопление донных отложений. Представленные в настоящей статье результаты направлены на создание современной основы для прогноза тенденций развития внутренних пресноводных водоемов Юга России, базирующихся на расчеты гидрофизических характеристик волнового режима. На примере Цимлянского водохранилища построены и адаптированы к природно-климатическим условиям и географическим особенностям математические модели трехмерной волновой гидродинамики. На основе разработанного экспериментального комплекса программ выполнены прогностические расчеты для его побережья, расположенного поблизости посёлка Саркел, названного именем исторического хазарского города-крепости Саркел (затоплен водохранилищем). Для выбранного «локального» участка проведены исследования гидродинамических характеристик волнового воздействия на прибрежную рекреационною зону, в том числе, профили волн и поля вектора скорости при различных значениях скорости ветра.

An important role in the management of water resources is played by inland freshwater reservoirs, the main uses of which are: meeting the needs of the population in fresh water, irrigation, hydroenergy, shipping, fish farming, etc. At the same time, undesirable and inevitable disturbances of the natural environment and the natural balance of the ecosystem are increasingly observed. water bodies. A serious problem is a significant change in the bottom relief, the destruction of the shores, the accumulation of bottom sediments. The results presented in this article are aimed at creating a modern basis for forecasting trends in the development of inland freshwater reservoirs in the South of Russia, based on calculations of the hydrophysical characteristics of the wave regime. Mathematical models of three-dimensional wave hydrodynamics have been constructed and adapted to natural and climatic conditions and geographical features on the example of the Tsimlyansk reservoir. Based on the developed experimental set of programs, prognostic calculations were performed for its coast, the nearby village of Sarkel, named after the historical Khazar fortress city of Sarkel (flooded by a reservoir). For the selected local site, studies of the hydrodynamic characteristics of the wave impact on the coastal recreational zone, including wave profiles and velocity vector fields at different values of wind speed, were carried out.

внутренние водоемыпресноводные водоемыприбрежная зонаволновые процессымоделирование гидродинамических процессовпараллельные алгоритмыinland reservoirsfreshwater reservoirscoastal zonewave processesmodeling of hydrodynamic processesparallel algorithmsИсследование выполнено при поддержке Российского научного фонда (проект 22-11-00295).The research was supported by the Russian Science Foundation (project 22-11-00295).ReferencesSukhinov A.I., Chistyakov A.E., Ugolnitsky G.A., Usov A.B., Nikitina A.V., Puchkin M.V., Semenov I.S. Game-theoretic regulations of mechanisms for managing the sustainable development of shallow-water ecosystems // Automation and telemechanics. 2017. No. 6. pp. 122-137.Sukhinov A.I., Chistyakov A.E., Ugolnitsky G.A., Usov A.B., Nikitina A.V., Puchkin M.V., Semenov I.S. Game-theoretic regulations of mechanisms for managing the sustainable development of shallow-water ecosystems // Automation and telemechanics. 2017. No. 6. pp. 122-137.Vakhitov R.R., Karimova L.Z. Some aspects of the impact of reservoirs on the geoecological environment // Problems of life support for large cities. - Naberezhnye Chelny. 2002. pp. 360-361 (in Russian).Vakhitov R.R., Karimova L.Z. Some aspects of the impact of reservoirs on the geoecological environment // Problems of life support for large cities. - Naberezhnye Chelny. 2002. pp. 360-361 (in Russian).Usmanov B., Nicu I.C., Gainullin I., Khomyakov P.V. Monitoring and assessing the destruction of archaeological sites from Kuibyshev reservoir coastline. Tatarstan Republic, Russian Federation. A case study // Journal of Coastal Conservation. 2018. Vol. 22, № 2. pp. 417–429. DOI:10.1007/s11852-017-0590-9.Usmanov B., Nicu I.C., Gainullin I., Khomyakov P.V. Monitoring and assessing the destruction of archaeological sites from Kuibyshev reservoir coastline. Tatarstan Republic, Russian Federation. A case study // Journal of Coastal Conservation. 2018. Vol. 22, № 2. pp. 417–429. DOI:10.1007/s11852-017-0590-9.Vuglinsky V.S. Water resources and water balance of large reservoirs of the USSR // Moscow: Gidrometeoizdat. 1991, p. 222.Vuglinsky V.S. Water resources and water balance of large reservoirs of the USSR // Moscow: Gidrometeoizdat. 1991, p. 222.Kuznetsova A.M., Baydakov G.A., Papko V.V., Kandaurov A.A., Vdovin M.I., Sergeev D.A., Troitskaya Yu.I. Field studies and numerical modeling of wind and surface waves on medium-sized inland reservoirs // Meteorology and Hydrology. 2016. No. 2. pp. 85-97. DOI:https://doi:10.3103/S1068373916020084/Kuznetsova A.M., Baydakov G.A., Papko V.V., Kandaurov A.A., Vdovin M.I., Sergeev D.A., Troitskaya Yu.I. Field studies and numerical modeling of wind and surface waves on medium-sized inland reservoirs // Meteorology and Hydrology. 2016. No. 2. pp. 85-97. DOI:https://doi:10.3103/S1068373916020084/Dymnikov V.P., Zalesny V.B. Fundamentals of computational geophysical hydrodynamics. M.: GEOS, 2019. 448 p.Dymnikov V.P., Zalesny V.B. Fundamentals of computational geophysical hydrodynamics. M.: GEOS, 2019. 448 p.Sukhinov A.I., Protsenko E.A., Chistyakov A.E., Schreter S.A. Comparison of computational efficiencies of explicit and implicit schemes for the problem of sediment transport in coastal water systems // Parallel computing technologies: Proceedings of the International Scientific Conference. 2015. pp. 297-307.Sukhinov A.I., Protsenko E.A., Chistyakov A.E., Schreter S.A. Comparison of computational efficiencies of explicit and implicit schemes for the problem of sediment transport in coastal water systems // Parallel computing technologies: Proceedings of the International Scientific Conference. 2015. pp. 297-307.Sukhinov A.I., Chistyakov A.E., Ugolnitskiy G.A., Usov A.B., Nikitina A.V., Puchkin M.V., Semenov I.S. Theoretical and game regulations of mechanisms for managing the sustainable development of shallow-water ecosystems // Automation and telemechanics. 2017. No. 6. pp. 122-137.Sukhinov A.I., Chistyakov A.E., Ugolnitskiy G.A., Usov A.B., Nikitina A.V., Puchkin M.V., Semenov I.S. Theoretical and game regulations of mechanisms for managing the sustainable development of shallow-water ecosystems // Automation and telemechanics. 2017. No. 6. pp. 122-137.Sukhinov A.I., Chistyakov A.E., Shishenya A.V. Error estimate for diffu-sion equations solved by schemes with weights // Mathematical Models and Computer Simulations. 2014. Vol. 6. No. 3. pp. 324-331.Sukhinov A.I., Chistyakov A.E., Shishenya A.V. Error estimate for diffu-sion equations solved by schemes with weights // Mathematical Models and Computer Simulations. 2014. Vol. 6. No. 3. pp. 324-331.Nikanorov A.M., Horuzhaya T.A., Minina L.I., Martysheva N.A. The dan-ger of "blooming" of the Tsimlyansk reservoir // Vodoochistka. Water treatment. Water supply. 2011. Vol. 2, № 38. pp. 70–74.Nikanorov A.M., Horuzhaya T.A., Minina L.I., Martysheva N.A. The dan-ger of "blooming" of the Tsimlyansk reservoir // Vodoochistka. Water treatment. Water supply. 2011. Vol. 2, № 38. pp. 70–74.Khoruzhaya T.A., Minina L.I. Assessment of the ecological state of the Tsimlyanskoye, Proletarskoye and Veselovskoye reservoirs // Meteorology and Hydrology. 2017. Vol. 5. pp. 117–122.Khoruzhaya T.A., Minina L.I. Assessment of the ecological state of the Tsimlyanskoye, Proletarskoye and Veselovskoye reservoirs // Meteorology and Hydrology. 2017. Vol. 5. pp. 117–122.Bakaeva E.N., Ignatova N.Akh. Water quality in the dam part of the Tsimlyansk Vodoksranilish under conditions of the color of blue-green microalgae // Global nuclear safety. 2013. Vol. 1, No. 6. pp. 23-28.Bakaeva E.N., Ignatova N.Akh. Water quality in the dam part of the Tsimlyansk Vodoksranilish under conditions of the color of blue-green microalgae // Global nuclear safety. 2013. Vol. 1, No. 6. pp. 23-28.Ye X.C., Xu C.Y., Zhang Q., Yao J., Li X.H. Quantifying the human induced water level decline of China’s largest freshwater lake from the chang-ing underlying surface in the lake region // Water Res. Manag. 2018. Vol. 32. pp. 1467–1482. DOI: https://doi:10.1007/s11269-017-1881-5Ye X.C., Xu C.Y., Zhang Q., Yao J., Li X.H. Quantifying the human induced water level decline of China’s largest freshwater lake from the chang-ing underlying surface in the lake region // Water Res. Manag. 2018. Vol. 32. pp. 1467–1482. DOI: https://doi:10.1007/s11269-017-1881-5Filatov N.N., Isaev A.V., Savchuk O.P. Assessment of the state and forecasting of changes in the hydrological regime and ecosystems of large lakes // Proceedings of the Karelian Scientific Center of the Russian Academy of Sciences. 2019. No 3. pp. 99-113.Filatov N.N., Isaev A.V., Savchuk O.P. Assessment of the state and forecasting of changes in the hydrological regime and ecosystems of large lakes // Proceedings of the Karelian Scientific Center of the Russian Academy of Sciences. 2019. No 3. pp. 99-113.Sukhinov A.I., Chistyakov A.E., Protsenko E.A., Sidoryakina V.V., Protsenko S.V. Accounting method of filling cells for the hydrodynamics problems solution with complex geometry of the computational domain // Matem. Mod. 2019. Vol. 31, No. 8. pp. 79–100. DOI: https://doi.org/10.1134/S0234087919080057.Sukhinov A.I., Chistyakov A.E., Protsenko E.A., Sidoryakina V.V., Protsenko S.V. Accounting method of filling cells for the hydrodynamics problems solution with complex geometry of the computational domain // Matem. Mod. 2019. Vol. 31, No. 8. pp. 79–100. DOI: https://doi.org/10.1134/S0234087919080057.Sukhinov A.I., Chistyakov A.E., Protsenko E.A., Sidoryakina V.V., Protsenko S.V. Set of coupled suspended matter transport models including three-dimensional hydrodynamic processes in the coastal zone // Matem. Mod. 2020. Vol. 32, № 2. pp. 3-23. DOI: https://doi.org/10.20948/mm-2020-02-01.Sukhinov A.I., Chistyakov A.E., Protsenko E.A., Sidoryakina V.V., Protsenko S.V. Set of coupled suspended matter transport models including three-dimensional hydrodynamic processes in the coastal zone // Matem. Mod. 2020. Vol. 32, № 2. pp. 3-23. DOI: https://doi.org/10.20948/mm-2020-02-01.Sukhinov A.I., Chistyakov A.E., Protsenko E.A., Sidoryakina V.V., Protsenko S.V. Parallel algorithms for solving the problem of coastal bot-tom relief dynamics // Num. Meth. Prog. 2020. Vol. 21, No 3. pp. 196–206. DOI: https://doi.org/10.26089/NumMet.v21r318.Sukhinov A.I., Chistyakov A.E., Protsenko E.A., Sidoryakina V.V., Protsenko S.V. Parallel algorithms for solving the problem of coastal bot-tom relief dynamics // Num. Meth. Prog. 2020. Vol. 21, No 3. pp. 196–206. DOI: https://doi.org/10.26089/NumMet.v21r318.Sukhinov A.I., Chistyakov A.Ye., Fomenko N.A. Metodika postroyeniia raznostnykh skhem dlia resheniia zadach diffuzii-konvektsii-reaktsii, uchityvaiushchikh stepen zapolnennosti kontrolnykh yacheek // Izvestiia YUFU. Tekhnicheskie nauki. 2013. Vol. 4, No. 141. pp. 87-98.Sukhinov A.I., Chistyakov A.Ye., Fomenko N.A. Metodika postroyeniia raznostnykh skhem dlia resheniia zadach diffuzii-konvektsii-reaktsii, uchityvaiushchikh stepen zapolnennosti kontrolnykh yacheek // Izvestiia YUFU. Tekhnicheskie nauki. 2013. Vol. 4, No. 141. pp. 87-98.Sidoryakina V.V., Sukhinov A.I. Well-posedness analysis and numerical implementation of a linearized two-dimensional bottom sediment transport problem // Comput. Math. Math. Phys. 2017. Vol. 57, No 6. pp. 978–994. DOI: https://doi.org/10.1134/S0965542517060124.Sidoryakina V.V., Sukhinov A.I. Well-posedness analysis and numerical implementation of a linearized two-dimensional bottom sediment transport problem // Comput. Math. Math. Phys. 2017. Vol. 57, No 6. pp. 978–994. DOI: https://doi.org/10.1134/S0965542517060124.Sukhinov A.I., Sukhinov A.A. 3D Model of Diffusion-Advection-Aggregation Suspensions in Water Basins and Its Parallel Realization // Parallel Computational Fluid Dynamics, Multidisciplinary Applications, Proceedings of Parallel CFD 2004 Conference, Las Palmas de Gran Canaria, Spain, ELSEVIER, Amsterdam-Berlin-London-New York-Tokyo. 2005. pp. 223-230.Sukhinov A.I., Sukhinov A.A. 3D Model of Diffusion-Advection-Aggregation Suspensions in Water Basins and Its Parallel Realization // Parallel Computational Fluid Dynamics, Multidisciplinary Applications, Proceedings of Parallel CFD 2004 Conference, Las Palmas de Gran Canaria, Spain, ELSEVIER, Amsterdam-Berlin-London-New York-Tokyo. 2005. pp. 223-230.Sukhinov A.I., Chistyakov A.E. Adaptive Modified Alternating Triangular Iterative Method for Solving Grid Equations with a Non-Self-Adjoint Oper-ator // Mathematical Models and Computer Simulations. 2012. Vol. 4, No. 4. pp. 398-409.Sukhinov A.I., Chistyakov A.E. Adaptive Modified Alternating Triangular Iterative Method for Solving Grid Equations with a Non-Self-Adjoint Oper-ator // Mathematical Models and Computer Simulations. 2012. Vol. 4, No. 4. pp. 398-409.Matishov G.G., Savelyeva O.S., Slyunina E.Yu. Tsimlyanskaya dam: the last chord of storytelling on the Don. – Rostov n/A: Publishing house of the SSC RAS, 2019. 216 p.Matishov G.G., Savelyeva O.S., Slyunina E.Yu. Tsimlyanskaya dam: the last chord of storytelling on the Don. – Rostov n/A: Publishing house of the SSC RAS, 2019. 216 p.

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