Geodesic
Creation of cadastral maps of flooding based on numerical modeling
Journal of computational and engineering mathematics, Tome 6 (2019) no. 2, pp. 3-17

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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. 
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     author = {A. Yu. Klikunova and A. V. Khoperskov and E. O. Agafonnikova and A. S. Kuz'mich and T. A. Dyakonova and S. S. Khrapov and I. M. Gusev},
     title = {Creation of cadastral maps of flooding based on numerical modeling},
     journal = {Journal of computational and engineering mathematics},
     pages = {3--17},
     publisher = {mathdoc},
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     number = {2},
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     url = {http://geodesic.mathdoc.fr/item/JCEM_2019_6_2_a0/}
}
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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. Journal of computational and engineering mathematics, Tome 6 (2019) no. 2, pp. 3-17. http://geodesic.mathdoc.fr/item/JCEM_2019_6_2_a0/