| 一种基于WENO格式的一维溃坝水流数值模拟研究 |
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| 引用本文： | 樊新建,张卫勇,张人会. 一种基于WENO格式的一维溃坝水流数值模拟研究[J]. 河南科学, 2008, 26(8) |
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| 作者姓名： | 樊新建 张卫勇 张人会 |
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| 作者单位： | 兰州理工大学流体动力与控制学院,兰州,730050;兰州理工大学流体动力与控制学院,兰州,730050;兰州理工大学流体动力与控制学院,兰州,730050 |
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| 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.
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| 关 键 词： | WENO格式 Runge-Kutta时间离散 数值计算 溃坝 |
The Research of One-Dimensional Dam-Break Water Flow Numerical Simulation Based on WENO Schemes |
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| Fan Xinjian,Zhang Weiyong,Zhang Renhui. The Research of One-Dimensional Dam-Break Water Flow Numerical Simulation Based on WENO Schemes[J]. Henan Science, 2008, 26(8) |
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| Authors: | Fan Xinjian Zhang Weiyong Zhang Renhui |
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| Affiliation: | Fan Xinjian,Zhang Weiyong,Zhang Renhui(Collage of Fluid Power , Control,Lanzhou University of Technology,Lanzhou 730050,China) |
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| Abstract: | 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 r... |
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| Keywords: | WENO schemes Runge-Kutta time discretization numerical simulation dam-break |
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