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自由跌流的水力特性
引用本文:杨永森,杨永全.自由跌流的水力特性[J].水科学进展,2000,11(2):148-152.
作者姓名:杨永森  杨永全
作者单位:1.清华大学水利水电工程系, 北京100084;
摘    要:运用解析函数的Riemann-Hilbert混合边值问题理论,导出了计算重力作用下二维跌水流动的边界积分方程,并在物理平面上进行了数值求解.计算结果与Rouse试验资料进行了比较.

关 键 词:自由跌流    水力特性    势流模型    数值计算
收稿时间:1999-01-28
修稿时间:1999-01-28

Hydraulic Character of Free Overfall
YANG Yong-sen,YANG Yong-quan.Hydraulic Character of Free Overfall[J].Advances in Water Science,2000,11(2):148-152.
Authors:YANG Yong-sen  YANG Yong-quan
Affiliation:1.Department of Hydraulic Engineering, Tsinghua University, Beijing 100084, China;2.The State Key Laboratory for High Speed Hydraulics, Sichuan University, Chengdu 610065, China
Abstract:The phenomenon of the free overfall is studied here assuming the steady flow to be two-dimensional,irrotational and frictionless and accounting for the presence of gravity and two free curvilinear boundaries.The boundary integral equations for calculating 2-D potential free overfall flow with both free surfaces are derived by using the Riemann-Hilbert mixed boundary problem technique of analytical function.The numerical calculation on the physical plane shows that this method has the advantage of fast convergence with small calculating quantity and high accuracy,and applicable to the complex shaped boundary without special requirement to the initial inputted value.Comparison with the experimental data indicates the present computations allow fair determination of all flow quantities with high accuracy.
Keywords:free overflow  hydraulis character  potential flow model  numerical method  
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