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JOURNALS // Journal of Computational and Engineering Mathematics // Archive

J. Comp. Eng. Math., 2019 Volume 6, Issue 2, Pages 3–17 (Mi jcem143)

This article is cited 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.

UDC: 519.6, 528.88

MSC: 82D15, 76A20, 76M25

Received: 27.05.2019

Language: English

DOI: 10.14529/jcem190201



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