Dyakonova T.A., Pisarev A.V., Khoperskov A.V., Khrapov S.S. Mathematical model of surface water dynamics
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Dyakonova Tatyana Andreevna
Postgraduate student, Department of Information Systems and Computer Simulation
Volgograd State University
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Prosp. Universitetsky, 100, 400062 Volgograd, Russian Federation
Volgograd State University
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Prosp. Universitetsky, 100, 400062 Volgograd, Russian Federation
Pisarev Andrey Vladimirovich
Candidate of Physical and Mathematical Sciences, Lecturer, Department of Information Systems and Computer Simulation
Volgograd State University
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Prosp. Universitetsky, 100, 400062 Volgograd, Russian Federation
Volgograd State University
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Prosp. Universitetsky, 100, 400062 Volgograd, Russian Federation
Khoperskov Alexander Valentinovich
Doctor of Physical and Mathematical Sciences, Professor, Department of Information Systems and Computer Simulation
Volgograd State University
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Prosp. Universitetsky, 100, 400062 Volgograd, Russian Federation
Volgograd State University
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Prosp. Universitetsky, 100, 400062 Volgograd, Russian Federation
Khrapov Sergei Sergeevich
Candidate of Physical and Mathematical Sciences, Associate Professor, Department of Information Systems and Computer Simulation
Volgograd State University
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Prosp. Universitetsky, 100, 400062 Volgograd, Russian Federation
Volgograd State University
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Prosp. Universitetsky, 100, 400062 Volgograd, Russian Federation
Abstract. A mathematical model of the dynamics of surface water was developed. It takes into account the main factors influencing to the flooding areas: surface and underground water sources (dams, rainfall, keys, geysers, the output of groundwater to the surface of the land). Another important factor is the construction quality of digital elevation model. We also take into consideration human activities areas and bottom contours of basins. The Volga river bed roughness coefficient for the modified Manning model was estimated. At last infiltration (water soaking into the ground); internal viscous friction, action of wind, the rotation of the Earth — the Coriolis force; evaporation were taken into account in the mathematical model.
Key words: Shallow water equations, evaporation of water, floods, roughness, viscous friction coefficient.
Mathematical Model of Surface Water Dynamics by Dyakonova T.A., Pisarev A.V., Khoperskov A.V., Khrapov S.S. is licensed under a Creative Commons Attribution 4.0 International License.
Citation in English: Science Journal of Volgograd State University. Mathematics. Physics. № 1(20) 2014 pp. 35-45
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