水力发电2025，Vol.51Issue(4)：1-5,5.
微分形式垂向混合产流模型及应用研究
Differential Form Vertically-Mixed Model and Its Application Research
摘要
Abstract
The vertically-mixed runoff(VMR)model is a commonly used hydrological model in semi-humid and semi-arid regions of China.However,its mathematical form is first-order difference equations,which inevitably introduces numerical errors during the solution procedure,affecting the model's accuracy.To effectively control the numerical solution errors,this study derives the differential equations of the VMR model and establishes a differential form of the vertically-mixed runoff model(ODE-VMR).The theoretical correctness of the ODE-VMR is verified by numerical experiment.Application example of Mengyin Watershed indicates that ODE-VMR can effectively reduce numerical errors and improve simulation accuracy,which offers a new approach to the research of hydrological modeling in semi-humid and semi-arid regions.关键词
垂向混合产流模型/数值求解误差/差分/微分形式水文模型/蒙阴流域Key words
vertically-mixed runoff model/numerical solution error/difference/differential form hydrological model/Mengyin Watershed分类
水利科学引用本文复制引用
陈媛,王甫志,马梦园,黄嘉璐,王军,赵建飞,梁忠民..微分形式垂向混合产流模型及应用研究[J].水力发电,2025,51(4):1-5,5.基金项目
国家自然科学基金资助项目(52379007) （52379007）
中央高校基本科研业务费专项资金资助(B240201164) （B240201164）
