摘要
采用一维Saint-Venant方程组,应用WENO格式和Runge-Kutta时间离散的思想,进行溃坝水流的数值模拟,得出了水位和流速的沿程分布,并与理论解比较,发现数值解在间断波附近没有出现数值振荡,水位和流速数值解与理论解吻合较好,表明WENO格式是一种进行溃坝水流模拟的非常理想的差分格式.
The WENO scheme and the Runge-Kutta time discretization method are applied to the one-dimensional saint-venant water equations for numerical simulation of dam-break flood water; and water depth and velocity along the distance distribution are obtained. It can be found that the numerical resolutions have no numerical oscillation at the intermittent compared with the theoretical,and water depth and velocity computed are be in good agreement with the analytical solutions,which indicate that the model with high resolutions established using WENO scheme is able to simulate the evaluation process of the dam-break waves.
出处
《河南科学》
2008年第8期952-954,共3页
Henan Science
基金
甘肃省自然科学基金(3ZS062-B25-038)
作者简介
樊新建(1979-),男,江西九江人,讲师,主要从事水力学及水环境研究.