vmaitComputational Mathematics and Information TechnologiesComputational Mathematics and Information Technologies2587-8999Донской государственный технический университет10.23947/2587-8999-2018-2-2-121-132vmait-74Research ArticleСтатьиМатематическое моделирование плотности морской воды глубоководного водоемаMathematical modeling the density of sea water in the deep pondhttps://orcid.org/0000-0001-7257-962XНикитинаАлла ВалерьевнаNikitinaAlla Valeryevna

Никитина Алла Валерьевна, Южный Федеральный Университет (347928, Россия, Ростовская область, г. Таганрог, пер. Некрасовский, 44), доктор технических наук, доцент

Nikitina Alla Valeryevna, Southern Federal University (Chekhov str., 2, Taganrog, Russian Federation), Doctor of Technical Science, Associate professor

nikitina.vm@gmail.comЮжный Федеральный Университет (347928, Россия, Ростовская область, г. Таганрог, пер. Некрасовский, 44)РоссияSouthern Federal University (Chekhov str., 2, Taganrog, Russian Federation)Russian Federation2018280320232274Copyright © Никитина А.В., 20232023Никитина А.В.Nikitina A.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/74

В работе предложена и исследована математическая модель гидродинамики глубоководного водоема – Японское море, учитывающая сложную геометрию береговой линии и дна, трение о дно и ветровые течения, испарение, отклонение значения поля давления от гидростатического приближения, плотность воды как функцию пространственного распределения температуры и солености. Определены и исследованы модели наблюдений для функций, входящих в модельную задачу, включая зависимость распределения плотности воды от пространственного распределения ее температуры, солености и ионного состава. Применение данных моделей опирается на электропроводность и температуру, что делает их максимально точными в различных условиях.

The paper covers the mathematical model of hydrodynamics of a deep water reservoir-the sea of Japan, taking into account the complex geometry of the shoreline and the bottom, friction on the bottom and wind currents, evaporation, deviation of the pressure field from the hydrostatic approximation, water density as a function of the spatial distribution of temperature and salinity, is proposed and investigated. The models of observations for the functions included in the model problem, including the dependence of the water density distribution on the spatial distribution of its temperature, salinity and ionic composition, are determined and investigated. The application of these models is based on electrical conductivity and temperature, which makes them as accurate as possible in different conditions.

математическая модельполе давлениягидростатическая аппроксимацияmathematical modeldeep water reservoirpressure fieldthe hydrostatic approximationspatial distribution of temperature and salinityРабота выполнена при поддержке РНФ, проект № 17-11-01286.The research is done with the financial support from the RSF, Projects No. 17-11-01286.ReferencesIbrayev, R.A.: Mathematical Modeling of Thermo hydrody-namic Processes in the Caspian Sea. Moscow: GEOS, 2008.Ibrayev, R.A.: Mathematical Modeling of Thermo hydrody-namic Processes in the Caspian Sea. Moscow: GEOS, 2008.Silantiev Yu.B. Features of the geological structure and oil and gas content of the northwestern part of the Caspian Sea. Conduct a gas science. 3 (19), 49-55 (2014).Silantiev Yu.B. Features of the geological structure and oil and gas content of the northwestern part of the Caspian Sea. Conduct a gas science. 3 (19), 49-55 (2014).Hodorevskaya, R.P., Kalmikov V.A., Gilkin, A.A. Current status of sturgeon stocks in the Caspian basin and measures for their conservation. BASTU. 1, 99-106 (2012).Hodorevskaya, R.P., Kalmikov V.A., Gilkin, A.A. Current status of sturgeon stocks in the Caspian basin and measures for their conservation. BASTU. 1, 99-106 (2012).Oleinikov E.P. Investigation of craniological and molecular genetic markers of the diversity of the seal population in the Caspian Sea. Moscow: GEOS, 2015.Oleinikov E.P. Investigation of craniological and molecular genetic markers of the diversity of the seal population in the Caspian Sea. Moscow: GEOS, 2015.Guliyev I.S., Kulakov S.I., Fedorov D.L.: Oil and gas potential of the Caspian region. Nafta-Press, Baky (2009).Guliyev I.S., Kulakov S.I., Fedorov D.L.: Oil and gas potential of the Caspian region. Nafta-Press, Baky (2009).Alekin, O.A, Lyakhin, Yu.I.: Chemistry of the ocean. Gidrometeoizdat, Saint-Petersburg (1984).Alekin, O.A, Lyakhin, Yu.I.: Chemistry of the ocean. Gidrometeoizdat, Saint-Petersburg (1984).Marchuk, G.I.: Mathematical modeling in the environmental problem. Nauka, Moscow (1982).Marchuk, G.I.: Mathematical modeling in the environmental problem. Nauka, Moscow (1982).CNTD Homepage, http://docs.cntd.ru/document/1200105587, last accessed 2018/05/17.CNTD Homepage, http://docs.cntd.ru/document/1200105587, last accessed 2018/05/17.ESIMO Homepage, http://esimo.ru/portal/auth/portal/arm-csmonitor/Расчетно-модельный+комплекс, last accessed 2018/05/17.ESIMO Homepage, http://esimo.ru/portal/auth/portal/arm-csmonitor/Расчетно-модельный+комплекс, last accessed 2018/05/17.Sukhinov, A.I, Chistyakov, A.E.: Adaptive modifiable alternate-triangular iteration method for solving grid equations with a non-self-conjugate operator. Math modeling, 398-409 (2012).Sukhinov, A.I, Chistyakov, A.E.: Adaptive modifiable alternate-triangular iteration method for solving grid equations with a non-self-conjugate operator. Math modeling, 398-409 (2012).Nikitina, A.V., Tretiakova, M.V.: Modeling the process of algalization of a shallow body of water by introducing into it a strain of green algae Chlorella vulgaris bin. Bulletin SFedU. 1(126), 128-133 (2012).Nikitina, A.V., Tretiakova, M.V.: Modeling the process of algalization of a shallow body of water by introducing into it a strain of green algae Chlorella vulgaris bin. Bulletin SFedU. 1(126), 128-133 (2012).Sukhinov, A.I, Chistyakov, A.E Semenyakina, A.A., Nikitina, A.V.: Numerical modeling of the ecological state of the Sea of Azov with application of schemes of increased accuracy on a multiprocessor computer system. Computer Studies and Modeling. 1(8), 151-168 (2016).Sukhinov, A.I, Chistyakov, A.E Semenyakina, A.A., Nikitina, A.V.: Numerical modeling of the ecological state of the Sea of Azov with application of schemes of increased accuracy on a multiprocessor computer system. Computer Studies and Modeling. 1(8), 151-168 (2016).Nikitina, A.V., Semenov, I.S.: Parallel implementation of the model of the dynamics of toxic algae in the Sea of Azov using multithreading in the Windows operating system. Bulletin SFedU. 1(138), 130-135 (2013).Nikitina, A.V., Semenov, I.S.: Parallel implementation of the model of the dynamics of toxic algae in the Sea of Azov using multithreading in the Windows operating system. Bulletin SFedU. 1(138), 130-135 (2013).Konovalov A.N.: To the theory of alternating-triangular iterative method. // Siberian Mathematical Journal. 3(43), 552-572 (2002).Konovalov A.N.: To the theory of alternating-triangular iterative method. // Siberian Mathematical Journal. 3(43), 552-572 (2002).Sukhinov, A.I, Schichenya A.V.: Increase in the efficiency of the alternating-triangular method on the basis of refined spectral estimates. Math modeling. 11(24), 20-32 (2013).Sukhinov, A.I, Schichenya A.V.: Increase in the efficiency of the alternating-triangular method on the basis of refined spectral estimates. Math modeling. 11(24), 20-32 (2013).Chistyakov, A.E., Hachund, D.S., Nikitina, A.V., Protsenko, E.A., Kuznecova, I.Yu.: Library of parallel iterative methods of solvers of SLAE for the conjecture-diffusion problem on the basis of decomposition along a single spatial direction. Modern problems of science and education. 1(1), 1786 (2015).Chistyakov, A.E., Hachund, D.S., Nikitina, A.V., Protsenko, E.A., Kuznecova, I.Yu.: Library of parallel iterative methods of solvers of SLAE for the conjecture-diffusion problem on the basis of decomposition along a single spatial direction. Modern problems of science and education. 1(1), 1786 (2015).Nikitina, A.V., Sukhinov, A.I., Ugolnitsky, G.A., Usov, A.B., Chistyakov, A.E., Puchkin, M.V., Semenov, I.S. Optimal control of sustainable development in the biological rehabilitation of the Azov Sea. Mathematical Models and Computer Simulations. 9 (1), 101-107 (2017).Nikitina, A.V., Sukhinov, A.I., Ugolnitsky, G.A., Usov, A.B., Chistyakov, A.E., Puchkin, M.V., Semenov, I.S. Optimal control of sustainable development in the biological rehabilitation of the Azov Sea. Mathematical Models and Computer Simulations. 9 (1), 101-107 (2017).

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