摘要
坡面流是流域产汇流中的基本问题。选取了坡面流中经典的单坡坡面流问题,利用特征线法对运动波方程求解得到其解析解,并利用一维圣维南方程组对该解析解适用范围进行初步讨论,最后利用改进的浅水模型对该解析解进行了数值验证。对于更好地了解单坡坡面流整个物理过程有一定参考意义,并提供了一套可用于新开发浅水模型验证的解析解算例。
Overland flow is the elementary problem in the runoff-producing and converging calculation of watershed.The classic overland flow problem on a single plane was chosen and solved by the method of characteristics to get the analytical solution.Then,the one-dimensional Saint-Venant equations was used to discuss the applicable range of the achieved analytical solution.Finally,the improved shallow-water model was utilized to verify the acquired analytical solution.The research may serve as a reference for a better understanding about the whole physical process of overland flow on a single plane and offer a set of analytical solution examples for new-developed shallow-water models.
出处
《人民珠江》
2016年第4期7-12,共6页
Pearl River
基金
中科院重点部署项目子课题"典型泥石流形成过程数学模型开发"(0030615419018)
关键词
单坡坡面流
浅水模型
特征线法
有限差分法
overland flow on a single plane
shallow-water model
method of characteristics
finite difference method
