| Muskingum法及其分段连续演算的若干理论探讨 |
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| 引用本文： | 芮孝芳.Muskingum法及其分段连续演算的若干理论探讨[J].水科学进展,2002,13(6):682-688. |
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| 作者姓名： | 芮孝芳 |
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| 作者单位： | 河海大学水资源环境学院, 江苏, 南京, 210098 |
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| 基金项目： | 国家自然科学基金重大项目(50099620) |
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| 摘 要： | 根据水力学原理和洪水波运动理论,通过对Muskingum法的关键参数X与特征河长、扩散波动力方程和运动波数值扩散之间关系的分析,给出了X更为全面的物理解释;证明了Muskin gum法槽蓄方程是扩散波动力方程近似的表达;指出了Muskingum法演算公式在一定条件下是扩散波方程的二阶精度解。讨论了Muskingum法的使用条件和分段连续演算的必要性;应用Z 变换方法导出了Muskingum法的分段连续演算的汇流系数公式。
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| 关 键 词： | Muskingum法 特征河长 扩散波方程 运动波数值扩散 分段连续演算 |
| 文章编号： | 1001-6791(2002)06-682-07 |
| 收稿时间： | 2001-10-23 |
| 修稿时间： | 2001年10月23 |
Some theoretical studies on the Muskingum method and its successive routing in subreaches |
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| RUI Xiao-fang.Some theoretical studies on the Muskingum method and its successive routing in subreaches[J].Advances in Water Science,2002,13(6):682-688. |
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| Authors: | RUI Xiao-fang |
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| Affiliation: | Department of Hydrology and Water Resources, Hohai University, Nanjing 210098, China |
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| Abstract: | The physical meaning of parameter X in the Muskingum method(M-method)is given by the hydraulics principle and the flood wave movement theory The storage equation of M-method is showed to be approximately the dynamic equation of difusion wave and the routing equation of M-method satisfied some conditions are proved to be two order accuracy solution of the diffusion wave equation Applicable condition and necessity of successive routing in subreaches of the M-method are suggested A equation of successive routing in subreaches of the M-method is derived by the Z transform method. |
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| Keywords: | Muskingum method(M-method) characteristic river length diffusion wave equation numerical dispersion of kinemat ic wave successive routing in subreaches |
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