| 用随机微分方程模型求解明渠渐变流 |
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| 引用本文： | 陈建兴,戎红玉.用随机微分方程模型求解明渠渐变流[J].河海大学学报(自然科学版),1994,22(5):43-47. |
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| 作者姓名： | 陈建兴 戎红玉 |
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| 作者单位： | Dept.of Environmental Engineering，Hohai Univ. |
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| 摘 要： | 把随机微分方程理论引入到明渠渐变流水面曲线的计算中，建立了明渠渐变流的随机微分方程模型，在模型中将初始水深，糙率系数及渠道底坡视为随机变量，采用Ｌｉｏｕｖｉｌｌｅ定理求解相应的微分方程，得到了较好的结果，研究表明，随机微分方程理论可以在水力学许多问题中得到应用。
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| 关 键 词： | 随机微分方程 渐变流 明梁 计算 |
An Application of Random Differential Equation Theory to Gradually Varied Flows in Open Channels |
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| Chen Jianxing ,Rong Hongyu,Wang Huimin.An Application of Random Differential Equation Theory to Gradually Varied Flows in Open Channels[J].Journal of Hohai University (Natural Sciences ),1994,22(5):43-47. |
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| Authors: | Chen Jianxing Rong Hongyu Wang Huimin |
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| Abstract: | random differential equation moael for tne water profile of gradually varied flows in open channels has been established by using the random differential equation theory. The initial water depth,roughness coefficient and channel bottom slope in the equation are taken as random variables,and then the random differential equation is solved numerically with the application of Liouville theorem. The results obtained are reseanable and they indicate that the random differential equation theory can be used to solve problems in hydraulics. |
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| Keywords: | Random differential equation Probability density distribution Gradually varied flow |
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