应用数学和力学2023，Vol.44Issue(12)：1499-1511,13.DOI:10.21656/1000-0887.440115
基于数值流形法的降雨入渗与坡面径流耦合算法研究
A Coupling Analysis of Rainfall Infiltration and Slope Surface Runoff Based on the Numerical Manifold Method
摘要
Abstract
The infiltration-runoff processes of slopes during rainfall were of significance in the mechanism study of rainfall-induced landslides,debris flows,and other geological disasters.To realize the numerical simulation of the whole rainfall infiltration-runoff process and further improve the computation efficiency,a coupling mod-el and its total governing equations were derived from the 1D kinematic wave equation and the 2D h-based Rich-ards'equation,with the rainfall infiltration surface deemed as the internal domain of the runoff and the seep-age.Then the numerical manifold method(NMM)was used to solve the total governing equations,and the computation program was compiled to simulate the rainfall infiltration-runoff processes of slopes.The numerical analysis results showed that,the coupling model solution is in good agreement with the experimental data and previous results,verifying the validity and reliability of the proposed model.The higher the rainfall intensity is,the earlier the runoff producing time will be;the deeper the ponding depth is,and the wider the influence range on the water distribution within the slope will be.The proposed model can truly reflect the whole rainfall infil-tration-runoff process of the slope,and provides a calculation basis for the analysis of various geological disas-ters induced by rainfall.关键词
降雨入渗/坡面径流/饱和-非饱和渗流/数值流形法Key words
rainfall infiltration/slope runoff/saturated-unsaturated seepage/numerical manifold method分类
数学引用本文复制引用
陈远强,郑宏,屈新..基于数值流形法的降雨入渗与坡面径流耦合算法研究[J].应用数学和力学,2023,44(12):1499-1511,13.基金项目
国家自然科学基金项目(42107195) （42107195）
湖南省教育厅科研项目(21C0317) （21C0317）
