摘要
从非恒定流能量方程出发,建立随机游动模型,用蒙特卡罗方法数值模拟区域规划中的河网水流运动。蒙特卡罗方法与常用的求解一维圣维南方程组的方法相比,计算结果基本一致,二者水位相对误差不到1%。实际计算中,蒙特卡罗方法较目前常用方法灵活,对节点编号无要求,可方便地加支或减支,计算程序也很简单,但对整个河网进行计算时速度要慢一些。
Based on Bernoulli equation of unsteady flow, a random walk model is presented for numerical simulation of unsteady flow in river networks in regional planning. The computed results by Monte Carlo method agree well with the numerical simulation results by the common method, that is the method through solving one dimensional Saint-venan equations. The relative error of water level is less than 1%. In contrast with common method, the Monte Carlo method is more flexible. The nodes of river networks can be numbered unrestrictedly. Its calculating program is very simple. But its operation speed is slower a little.
出处
《灌溉排水学报》
CSCD
北大核心
2005年第6期60-63,共4页
Journal of Irrigation and Drainage
基金
国家自然科学基金资助项目(50279044)
关键词
区域规划
河网
蒙特卡罗方法
数值模拟
regional planning
river networks
monte carlo method
numerical simulation