Geodesic
Mathematical model of surface water dynamics
Matematičeskaâ fizika i kompʹûternoe modelirovanie, no. 1 (2014), pp. 35-44

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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.
Keywords: shallow water equations, evaporation of water, floods, roughness
Mots-clés : viscous friction coefficient. 
@article{VVGUM_2014_1_a4,
     author = {T. A. Dyakonova and A. V. Pisarev and A. V. Khoperskov and S. S. Khrapov},
     title = {Mathematical model of surface water dynamics},
     journal = {Matemati\v{c}eska\^a fizika i kompʹ\^uternoe modelirovanie},
     pages = {35--44},
     publisher = {mathdoc},
     number = {1},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VVGUM_2014_1_a4/}
}
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T. A. Dyakonova; A. V. Pisarev; A. V. Khoperskov; S. S. Khrapov. Mathematical model of surface water dynamics. Matematičeskaâ fizika i kompʹûternoe modelirovanie, no. 1 (2014), pp. 35-44. http://geodesic.mathdoc.fr/item/VVGUM_2014_1_a4/