Mathematical model of surface water dynamics

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.