Computer Simulation of the Volga River Hydrological Regime: Problem of Water-Retaining Dam Optimal Location

DOI10.14529/MMP170313zbMATH Open1408.86002arXiv1708.01131OpenAlexW2743226426MaRDI QIDQ4600377

Ekaterina Olegovna Agafonnikova, A. V. Khoperskov, Anna Yur'Evna Klikunova

Publication date: 8 January 2018

Published in: Bulletin of the South Ural State University. Series "Mathematical Modelling, Programming and Computer Software" (Search for Journal in Brave)

Abstract: We investigate of a special dam optimal location at the Volga river in area of the Akhtuba left sleeve beginning (7 , km to the south of the Volga Hydroelectric Power Station dam). We claim that a new water-retaining dam can resolve the key problem of the Volga-Akhtuba floodplain related to insufficient water amount during the spring flooding due to the overregulation of the Lower Volga. By using a numerical integration of Saint-Vacant equations we study the water dynamics across the northern part of the Volga-Akhtuba floodplain with taking into account its actual topography. As the result we found an amount of water

V_{A}

passing to the Akhtuba during spring period for a given water flow through the Volga Hydroelectric Power Station (so-called hydrograph which characterises the water flow per unit of time). By varying the location of the water-retaining dam

x_{d}, y_{d}

we obtained various values of

V_{A} (x_{d}, y_{d})

as well as various flow spatial structure on the territory during the flood period. Gradient descent method provide us the dam coordinated with the maximum value of

V_{A}

. Such approach to the dam location choice let us to find the best solution, that the value

V_{A}

increases by a factor of 2. Our analysis demonstrate a good potential of the numerical simulations in the field of hydraulic works.

Full work available at URL: https://arxiv.org/abs/1708.01131

zbMATH Keywords

optimization hydrology Saint-Venant equations numerical model hydrodynamic simulation

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Computational methods for problems pertaining to geophysics (86-08) Numerical algorithms for specific classes of architectures (65Y10)

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