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。
The phenomenon of the free overfal l is studied here assuming the steady flow to be two-dimensional, irrotational and frictionless and accounting for the presence of gravity and two free curvili near boundaries. The boundary integral equations for calculating 2-D potential free overfall flow with both free surfaces are derived by using the Riemann-Hil bert mixed boundary problem technique of analytical function. The numerical calc ulation on the physical plane shows that this method has the advantage of fast c onvergence 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.
出处
《水科学进展》
EI
CAS
CSCD
北大核心
2000年第2期148-152,共5页
Advances in Water Science
基金
四川大学高速水力学国家重点实验室基金资助项目&&
关键词
自由跌流
水力特性
热流模型
数值计算
free overflow
hy draulis character
potential flow model
numerical method
