水闸开度一定时消力池消能迭代算法及应用

Iterative Algorithm and Application for Energy Dissipation Calculation with Specified Sluice Opening

实际工作中,指定开度下的水闸消能计算复杂,往往耗费大量时间和精力。对此,一方面从数学原理入手,提出了消能计算的简便算法。经实例验证表明,下游水位固定时,不动点迭代法可得消能计算精确解;下游水位变化时,不动点迭代配合二分法可得消能计算精确解。另一方面编写了可视化程序,进一步验证了该算法应用于工程实际的可行性。此迭代算法为水闸消能计算提供了新思路。

In practice,the calculation of sluice energy dissipation under specified opening usually costs lots of time and energy because of high computational complexity.Therefore,this paper researched a simple method for energy dissipation from the perspective of mathematical principle and the calculation program.Example results show that the fixed point iteration method could get accurate solution of energy dissipation calculation in the condition that the lower water-level was fixed.While the lower water-level was in a variable state,combination of fixed point iteration with dichotomy method could also get accurate solution.Visual programming was used to further verify the feasibility of the proposed method for application in engineering projects.Therefore,the proposed iterated algorithm can provide new ideas for energy dissipation calculation of sluice.