水力发电学报2026，Vol.45Issue(1)：66-75,10.DOI:10.11660/slfdxb.20260107
挑流随机喷溅水滴落点位置的近似解析方法
Approximate analytical method for landing locations of random splashing water droplets
摘要
Abstract
A large number of water droplets are splashed out after a water jet nappe impinging into the free surface of a water body downstream of the dam.To address the low computational efficiency in solving the random water droplet splashing mathematical model,this paper describes an approximate analytical method for calculating the landing locations of the splashed droplets,based on two-dimensional projectile motions against secondary resistance.We compare the calculations of landing locations and probability density distributions with those of the fourth-order Runge-Kutta method.Notably,given the same number of water droplets and initial information,our new method achieves an accuracy comparable to the Runge-Kutta and a significant reduction in computational cost—only 1/30 of the latter one,thus offering an efficient approach for analysis of the motions of randomly sprayed water droplets.关键词
泄洪雾化/喷溅水滴/随机喷溅模型/落点位置/近似解析方法Key words
flood discharge atomization/splashing water droplets/random splashing model of water droplets/landing location/approximate analytical method分类
建筑与水利引用本文复制引用
张雨辰,张华..挑流随机喷溅水滴落点位置的近似解析方法[J].水力发电学报,2026,45(1):66-75,10.基金项目
国家自然科学基金项目(52279065) （52279065）
