High-efficiency calculation method for watershed rainfall-runoff routing using one-dimensional dynamic wave equations High-efficiency calculation method for watershed rainfall-runoff routing using one-dimensional dynamic wave equations

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Vol14 No.10: 2097-2105

Title】High-efficiency calculation method for watershed rainfall-runoff routing using one-dimensional dynamic wave equations

Author】LI Jun1*; GUO Xiao-jun1; ZHAO Ling-ling2

Addresses】1 Key Laboratory of Mountain Surface Process and Hazards/Institute of Mountain Hazards and Environment, Chinese Academy of Sciences, Chengdu 610041, China; 2 Guangzhou Institute of Geography Guangdong Academy of Sciences, Guangzhou 510070, China

Corresponding author】junli@imde.ac.cn

Citation】High-efficiency calculation method for watershed rainfall-runoff routing using one-dimensional dynamic wave equations. Journal of Mountain Science 14(10). https://doi.org/10.1007/s11629-017-4407-y

DOI】https://doi.org/10.1007/s11629-017-4407-y

Abstract】Efficiency in solving the Saint-Venant equations for watershed rainfall-runoff routing is important in flood hydrology. This paper presents a high-efficiency numerical solution of one-dimensional dynamic wave equations (HEDWE) for watershed rainfall-runoff routing, in which the full momentum equation is written as a quadratic equation with only one unknown variable Q, water depth is derived from the continuity equation using the two-step predictor-corrector method, and the discrete scheme is the explicit upwind scheme. The results of numerical tests showed the HEDWE approach has several major advantages. 1) It is a stable numerical method, even for an initially dry area. 2) Its computational efficiency is higher than 4.76E+05 times/s. 3) It can be used for overland flow, river flow, and combinations thereof. The primary disadvantages of the HEDWE approach are its unsuitability for rapidly varying flow, such as dam-break floods.

Keywords】Dynamic wave; Flood routing; Channel routing; Overland flow