Model of rainwater runoff formation on the surface of complex topography

Abstract The article discusses the issues of water disposal, with curvilinear coatings. The tasks of calculating rainfall at industrial sites and urban areas of complex topography arise in the process of modern urban construction. Modern requirements for design quality necessitate accurate calculations of rainfall, location, size and number of drainage devices. The article points out the existence of a gap between the practice of calculating rainfall runoff and the theory of mathematical modeling of runoff. Also, modern mathematical models of the formation of rainfall are analyzed. A runoff model is proposed that provides a compatible consideration of the relationship between flow rates and water volumes in the area with the runoff genetic formula. The catchment area is torn by a network of lines of greatest slope and isochrones. For each elementary site, the ratio of the water balance is determined. The continuity equation for the catchment is obtained. For the numerical implementation of the runoff model, a difference scheme is used. Specific programs are provided for the developed algorithms. A computer program in the MatLab language has been developed for the proposed runoff model. The program has been tested at specific facilities.

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