| 二维浅水数值模拟的有限差分MADI法 |
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| 引用本文： | 郭玉臣,徐小明,张静怡.二维浅水数值模拟的有限差分MADI法[J].河海大学学报(自然科学版),2008,36(6):769-772. |
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| 作者姓名： | 郭玉臣 徐小明 张静怡 |
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| 作者单位： | 1. 河海大学理学院,江苏,南京,210098
2. 河海大学水文水资源与水利工程科学国家重点实验室,江苏,南京,210098 |
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| 摘 要： | 在贴体平面二维正交曲线网格基础上,采用对交替方向隐式ADI法变量位置分布进行了改进的MADI法对二维水深平均的浅水方程进行差分离散求解,并将这一算法应用于长江南通河段的水流模拟.数值模拟计算结果和实测资料比较结果表明,该算法能较好地模拟复杂条件下天然河道涨潮、落潮水流归槽和流速分布过程.
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| 关 键 词： | 浅水方程 有限差分法 正交网格 数值模拟 |
| 修稿时间： | 2008/11/27 0:00:00 |
Finite difference MADI method in numerical simulation of two-dimensional shallow water flows |
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| GUO Yu-chen,XU Xiao-ming,ZHANG Jing-yi.Finite difference MADI method in numerical simulation of two-dimensional shallow water flows[J].Journal of Hohai University (Natural Sciences ),2008,36(6):769-772. |
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| Authors: | GUO Yu-chen XU Xiao-ming ZHANG Jing-yi |
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| Affiliation: | GUO Yu-chen1,2,XU Xiao-ming1,2,ZHANG Jing-yi1,2 |
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| Abstract: | The finite difference MADI method,an improved alternating directional implicit(ADI) method in distribution of positions of the variables,was adopted solve the two-dimensional depth-averaged shallow water equations based on the body fitting orthogonal curvilinear grids.The present model was used to simulate the flow fields of Nantong reach on Yangtze River.A comparison between the simulated and measured data shows that this the present algorithm can reflect the process of flood tide,ebb tide and velocity distribution in watercourses under complex conditions. |
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| Keywords: | shallow water equation finite difference method orthogonal grid numerical simulation |
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