Numerical simulation method combining kinematic waves with dynamic waves for flood process in mountainous area

Abstract

The invention discloses a numerical simulation method combining kinematic waves with dynamic waves for a flood process in a mountainous area. According to the method, on the basis of a triangular unstructured mesh finite volume numerical discretization frame, kinematic wave and dynamic wave control equations are both in conservation forms, variables have cell centers, and the discretization format is a Godunov format. Solution methods are distinguished by conducting property assignment on a grid cell solver, when the property is 0, the kinematic wave control equation is solved, and when the property is 1, the dynamic wave control equation is solved. The continuous equations of the kinematic waves and dynamic waves are same, and continuous equations of all grid cells are uniformly solved in a Roe format. When the grid property is 0, a kinematic wave momentum equation is adopted to directly solve conservation variables of the next moment; when the grid property is 1, interfacial momentum numerical flux is calculated in a Roe format, and conservation variables of the next moment are solved by the summation of the momentum flux, bottom slope items and frictional items. According to the method, the practical application capability of a hydrodynamic model during simulation of the flood process in the mountainous area can be effectively improved, and the deficiency of current hydrologic methods is made up.

Description

technical field [0001] The invention relates to the field of water conservancy engineering, in particular to the field of mountain torrent prevention and control, in particular to a numerical simulation method for flood process in mountainous areas by combining motion waves and dynamic waves. Background technique [0002] China's mountainous area accounts for about two-thirds of the land area, of which the mountain torrent disaster prevention and control area reaches 4.63 million km 2 , the area of ​​the key prevention and control area is 970,000 km 2 . The flood process in the hilly area rises and falls steeply, with fast flow and strong destructive power, which often induces geological disasters such as landslides and mud-rock flows, which are extremely harmful. [0003] At present, hydrological methods are mainly used in mountainous flood analysis and calculation. Hydrological methods are further divided into two categories, one is empirical or semi-empirical methods s...

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Problems solved by technology

[0006] The object of the present invention is to provide a kind of numerical simulation method of flood process in mountainous area which combines kinematic wave and dynamic wave. The practicability of the dynamic model in the analysis and calculation of the flood process in mountainous areas, the method is suitable for the field of flood risk analysis and calculation in small watersheds in mountainous areas

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