Mathematical modeling the density of sea water in the deep pond
https://doi.org/10.23947/2587-8999-2018-2-2-121-132
Abstract
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.
Keywords
About the Author
Alla Valeryevna NikitinaRussian Federation
Nikitina Alla Valeryevna, Southern Federal University (Chekhov str., 2, Taganrog, Russian Federation), Doctor of Technical Science, Associate professor
References
1. Ibrayev, R.A.: Mathematical Modeling of Thermo hydrody-namic Processes in the Caspian Sea. Moscow: GEOS, 2008.
2. 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).
3. 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).
4. Oleinikov E.P. Investigation of craniological and molecular genetic markers of the diversity of the seal population in the Caspian Sea. Moscow: GEOS, 2015.
5. Guliyev I.S., Kulakov S.I., Fedorov D.L.: Oil and gas potential of the Caspian region. Nafta-Press, Baky (2009).
6. Alekin, O.A, Lyakhin, Yu.I.: Chemistry of the ocean. Gidrometeoizdat, Saint-Petersburg (1984).
7. Marchuk, G.I.: Mathematical modeling in the environmental problem. Nauka, Moscow (1982).
8. CNTD Homepage, http://docs.cntd.ru/document/1200105587, last accessed 2018/05/17.
9. ESIMO Homepage, http://esimo.ru/portal/auth/portal/arm-csmonitor/Расчетно-модельный+комплекс, last accessed 2018/05/17.
10. 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).
11. 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).
12. 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).
13. 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).
14. Konovalov A.N.: To the theory of alternating-triangular iterative method. // Siberian Mathematical Journal. 3(43), 552-572 (2002).
15. 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).
16. 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).
17. 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).
Review
For citations:
Nikitina A.V. Mathematical modeling the density of sea water in the deep pond. Computational Mathematics and Information Technologies. 2018;2(2). https://doi.org/10.23947/2587-8999-2018-2-2-121-132