摘要
提出了一种基于渗流域能量损失率最小原理求解自由面的有限单元计算方法,将求解渗流自由面问题转化为求解稳定渗流场能量损失率最小值问题。对渗流域进行有限单元划分,首先基于能量损失率最小原理计算渗流逸出点,然后由下游边界到上游边界逐层单元求解自由面节点的位置,连接各层自由面点以及逸出点得到完整的渗流自由面。采用该方法计算了有电模拟试验解的矩形坝、有甘油模型试验解的矩形坝、有解析解的梯形坝的自由面曲线,并与试验解或解析解进行了对比。结果表明提出的自由面求解方法具有很高的计算精度。
A finite element method for solving the free surface based on minimum energy loss rate(MELR) in seepage field ispresented,in which,the problem of solving seepage free surface is converted into calculating the MELR of stable seepage field.Firstly,the seepage region is meshed by finite elements and the spill point is calculated based on MELR,then the free surfacenode is calculated layer by layer from the downstream boundary to the upstream boundary,and finally the free surface point andthe spill point of each layer is connected to format whole seepage free surface. The free surface curves of a rectangular dam withelectrical simulation test solution,a rectangular dam with glycerol model test solution and the trapezoidal dam with analyticalsolution are calculated using presented method,and the results are compared with the analytical solutions or the experimentalsolutions. The results show that the presented free surface solution method has higher calculation accuracy.
作者
王凤梅
侯兴民
郑珊珊
WANG Fengmei;HOU Xingmin;ZHENG Shanshan(School of Civil Engineering,Yantai University,Yantai 264005,Shandong,China)
出处
《水力发电》
北大核心
2019年第2期74-78,94,共6页
Water Power
基金
国家自然科学基金资助项目(41602284)
关键词
能量损失率
泛函
渗流自由面
energy loss rate
functional
seepage free surface
