Abstract：From the modified Green - Ampt infiltration equation, the differential form of the equation was changed into transcendental equation solution by the mathematical derivation, therefore, the calculation process was simplified. Considering the slope movement wave equation, the derivation process and four implicit difference solution methods were provided. The simplified transcendental infiltration equation was calculated by Newton iteration and fourth order runge-kutta algorithm, and the convergence and stability of the equation was guaranteed, when the accuracy of the Newton iterative calculation is higher than the runge-kutta method. Three rainfall scouring experiments with the constant rainfall intensity were carried out to validate the simulation on infiltration, and the flow with a grid precision of 1 mm was generated by the DEM data obtained from the Lidar. The results show that the si-mulation results of slope surface flow process are in good agreement with the measured data, and infiltration errors can be controlled within 12%, while the flow rate error can be within 13.1%. The simulated infiltration rate and the flow rate are larger than that in the measured results, and the simulated infiltration rate error and flow rate error are positively correlated.
李斌兵, 黄磊. 黄土沟壑区坡面入渗-产流方程推导及数值解法[J]. 排灌机械工程学报, 2014, 32(6): 535-540.
Li Binbing, Huang Lei. Formula deduction and numerical solution of infiltration and runoff equation on Loessial Hillslope. Journal of Drainage and Irrigation Machinery Engin, 2014, 32(6): 535-540.
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