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PREDICTIVE MODELING OF POLLUTION SPREADING INFLUENCE ON PLANKTON PRODUCTIVITY
Abstract
The paper covers the development, research and numerical implementation the complex of interrelated mathematical models of hydrophysics and biological kinetics on a supercomputer for predictive modeling of pollution spreading processes in boundary atmosphere and water layers at increasing the anthropogenic influence, climatic and industrial challenges, and occurrence of eliminating contingencies of technogenic or natural characters. Discrete analogues of developed model problems of water ecology, included in the developed software complex, were developed on the basis of high-order accuracy schemes. The modified alternating triangular method was used for solution of grid equations at discretization of water ecology model problems. It has the best convergence rate under the condition of asymptotic stability of difference schemes for parabolic equations, the efficiency of which has been improved using updated spectral estimates. Effective parallel algorithms of numerical implementation of hydrophysics and biological kinetics problems were developed for analysis sediment spreading processes in the ?air-water? system in real and accelerated time.
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Matishov G.G., Stepanyan O.V., Grigorenko K.S., Kharkivsky V.M., Povazhny V.V., Sawyer V.G., Features of hydrological and hydrochemical regime of the Azov and Black Seas in 2013, Bulletin of the Southern Scientific Center, Russia, vol. 11, No. 2, pp. 36-44, 2015.
Winberg G.G. Diversity and unity of life phenomena and quantitative methods in biology, Zhurn. total biol., Russia, vol. 61, No. 5, pp. 549-560, 2000.
Abakumov A.I., Signs of stability of aquatic ecosystems in mathematical models, Proceedings of the Institute for System Analysis of the Russian Academy of Sciences, System analysis of the problem of sustainable development, M.: ISA RAS, Russia, vol. 54, pp. 49-60, 2010.
Gushchin V.A., Sukhinov A.I., Chistyakov A.E., Nikitina A.V., Semenyakina A.A., A model of transport and transformation of biogenic elements in the coastal system and its numerical implementation, Computational Mathematics and Mathematical Physics, Russia, vol. 58, No. 8, pp. 1316-1333, 2018.
Saminsky G.A., Debolskaya E.I., Kuznetsov I.S., Yakushev E.V., Mathematical model of anaerobic contamination process in waters, Water: chemistry and ecology, Russia, No. 12 (42), pp. 8-17, 2011.
Menshutkin V.V., The art of modeling (ecology, physiology, evolution), Petrozavodsk - St. Petersburg, Russia, 419 p., 2010.
Nikitina A.V., Ugolnitsky G.A., Usov A.B., Chistyakov A.E., Puchkin M.V., Semenov I.S., Sukhinov A.I., Optimal control of sustainable development in the biological rehabilitation of the Azov sea, Mathematical Models and Computer Simulations, Russia, vol. 9, No. 1, pp. 101-107, 2017.
Perevaryukha A.Y., Hybrid model of bioresourses' dynamics: equilibrium, cycle, and transitional chaos, Automatic Control and Computer Sciences, Russia, vol. 45, No.4, pp. 223-232, 2011.
Tyutyunov Y.V., Zagrebneva A.D., Surkov F.A., Azovsky A.I., Modeling of the population density flow for periodically migrating organisms, Oceanology, Russia, vol. 50, No. 1, pp. 67-76, 2010.
Il’ichev V.G., Bogucharskov V.T., Berdnikov S.V., Avramenko L.G., Transformations in the ecological structure of the Tsymlyansk reservoir during a warming, Russian Meteorology and Hydrology, Russia, No.12, pp. 63-71, 1993.
Samarski, A.A., Nikolaev, E.S., Methods for solving grid equations, M.: Nauka, Russia, 532 p. (1978)
Konovalov A.N., On the theory of alternating triangular iterative method, Siberian Mathematical Journal, Russia, vol. 43, No. 3, pp. 552-572, 2002.
“Analytical GIS”. URL: http://geo.iitp.ru/index.php (accessed 04.03.2019)
Marchuk G.I., Sarkisyan A.S., Mathematical modeling of ocean circulation, M.: Nauka, Russia, 297 p., 1988.
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