| 正交曲线坐标系下二维浅水方程的变换 |
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| 引用本文： | 张莉,刘松涛. 正交曲线坐标系下二维浅水方程的变换[J]. 佳木斯大学学报, 2009, 27(5): 777-779,782 |
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| 作者姓名： | 张莉 刘松涛 |
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| 作者单位： | 淮阴工学院数理学院,江苏,淮安,223003;江苏省水文水资源勘测局淮安分局,江苏,淮安,223005 |
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| 摘 要： | 在平面二维明渠非恒定流的研究中,常采用边界拟合坐标技术建立二维正交曲线网格,但是直接推导坐标变换后在正交曲线坐标系下的二维浅水方程比较困难.本文给出了一种应用张量分析的推导方法,利用该方法简单、准确地给出了正交曲线坐标系下的二维浅水方程的具体形式,该方程已经广泛地应用于明渠水流计算中.
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| 关 键 词： | 正交曲线坐标系 二维浅水方程 张量分析 |
The Transformation of Two-Dimensional Shallow Water Equations under Orthogonal Curvilinear Coordinates |
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| ZHANG LI,LIU Song-tao. The Transformation of Two-Dimensional Shallow Water Equations under Orthogonal Curvilinear Coordinates[J]. Journal of Jiamusi University(Natural Science Edition), 2009, 27(5): 777-779,782 |
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| Authors: | ZHANG LI LIU Song-tao |
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| Affiliation: | 1.Huaiyin Institute of Technology;Huaian 223003;China;2.Huaian Branch of Hydrology and Water Resources Survey Bureau of Jiangsu Province;Huaian 223005;China |
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| Abstract: | In the research of plane two-dimensional unsteady open channel flow,the boundary-fitted coordinate technology is often used to establish two-dimensional orthogonal curvilinear coordinates.In this way,it is comparatively difficult to deduce the two-dimensional shallow water equations after the change of coordinates.This paper proposed a method of tensor analysis which is simple to present a form of two-dimensional shallow water equations,which have been widely used in the calculation of open channel flow,und... |
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| Keywords: | orthogonal curvilinear coordinates two-dimensional shallow water equations tensor analysis |
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