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Journal of Computational and Engineering Mathematics, 2019, Volume 6, Issue 2, Pages 3–17
DOI: https://doi.org/10.14529/jcem190201
(Mi jcem143)
 

This article is cited in 3 scientific papers (total in 3 papers)

Engineering Mathematics

Creation of cadastral maps of flooding based on numerical modeling

A. Yu. Klikunovaa, A. V. Khoperskova, E. O. Agafonnikovaa, A. S. Kuz'micha, T. A. Dyakonovaa, S. S. Khrapova, I. M. Gusevb

a Volgograd State University, Volgograd, Russian Federation
b Lomonosov Moscow State University
Abstract: We consider the possibilities of numerical hydrodynamic modeling for the construction of cadastral maps of dangerous flood zones on the example of the Volgograd region. The numerical model is based on shallow water equations and Combined Smooth Particle Hydrodynamics - Total Variation Diminishing (CSPH-TVD) method for integrating hyperbolic differential equations. To create a digital elevation model (DEM), we use an iterative approach, assimilating all available spatial data, including remote sensing data, topographic measurements and observations of flooding in different years. The agreement of the observed data with the numerical simulation results can significantly improve the quality of the DEM. Digital elevation models are based on elevation matrices in increments of 3 to 10 meters, depending on the topography of the study area. The result of our work is a set of maps with flood boundaries for different probabilities of catastrophic events. For each such flood, we calculate the river hydrograph and its integral characteristics.
Keywords: shallow water model, computational experiments, flooding, cadastral map.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 2.852.2017/4.6
Russian Foundation for Basic Research 18-47-340007 p_a
The research was supported by the Ministry of Science and Higher Education of the Russian Federation (project no. 2.852.2017/4.6). EOA and SSK are thankful to the Russian Foundation for Basic Research and Administration of Volgograd Region (grant no. 18-47-340007 p_a).
Received: 27.05.2019
Document Type: Article
UDC: 519.6, 528.88
MSC: 82D15, 76A20, 76M25
Language: English
Citation: A. Yu. Klikunova, A. V. Khoperskov, E. O. Agafonnikova, A. S. Kuz'mich, T. A. Dyakonova, S. S. Khrapov, I. M. Gusev, “Creation of cadastral maps of flooding based on numerical modeling”, J. Comp. Eng. Math., 6:2 (2019), 3–17
Citation in format AMSBIB
\Bibitem{KliKhoAga19}
\by A.~Yu.~Klikunova, A.~V.~Khoperskov, E.~O.~Agafonnikova, A.~S.~Kuz'mich, T.~A.~Dyakonova, S.~S.~Khrapov, I.~M.~Gusev
\paper Creation of cadastral maps of flooding based on numerical modeling
\jour J. Comp. Eng. Math.
\yr 2019
\vol 6
\issue 2
\pages 3--17
\mathnet{http://mi.mathnet.ru/jcem143}
\crossref{https://doi.org/10.14529/jcem190201}
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  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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