中文摘要：

对水舌入水喷溅的随机计算理论进行研究与改进，开发了随机数学模型。该模型对溅水区进行时空离散，可反映水舌入水形态与喷溅过程对溅水分布的影响。同时，通过引入人工神经网络模块，实时判别水滴的当地风速与飞行终止条件，使其具备模拟复杂地形与风场下溅水分布的能力。通过室内溅水试验对数学模型进行验证，结果表明该模型的模拟计算结果与试验结果较吻合。

英文摘要：

A stochastic mathematical model was developed based on research and improvement of the computation of splashing from water jets. The splash region disperses over time and space, reflecting the form of the water jets entry and the influence of the splashing process on rainfall distribution. Meanwhile, through the artificial neural network module, the numerical model can estimate real-time wind velocity and terminal flying conditions, making the model capable of simulating the rainfall distribution in complex topography and wind fields. The mathematical model is verified by laboratory model tests. The results show that the calculation agrees with the test results.