时空守恒元和解元法在山区河流模拟中的应用

针对山区河流边界和地形复杂,水位和流速变化剧烈,主流和副流明显的特点,建立了一种新的平面二维水动力数学模型:采用一种新的数值方法——时空守恒元和解元方法(简称:CE/SE方法)并用任意四边形网格来离散区域,进行了水位和流速的数值模拟。模型利用嘉陵江草街-嘉陵江河口全长约69km的地形和实测资料进行了验证。模拟结果表明,该数学模型能够较好地模拟复杂条件下山区河流的流场特征。

Numerical Simulation of 2-D Flow in the Mountain Rivers by Using Space-Time Conservation Element and Solution Element Scheme

This paper presents a new horizontal two-dimensional hydraulics mathematic model.In this model,a new numerical scheme named the space-time Conservation Element/ Solution Element(CE/SE) is applied to solve 2-D shallow water equations in a quadrilateral grid.The proposed 2-D model was verified using field data from a 69km stretch of the Jialing River that runs from Caojie to an estuary section near Chongqing,P.R.China.It is proven that this new scheme simulates the hydraulics characteristics of mountain rivers with complex boundaries and topography very well.