基于MLPG无网格法的土石坝非稳态饱和渗流场分析  

Seepage Field Analysis of Unsteady Embankment Dam Based on MLPG Meshless Method

作　　者：郑保敬[1] 邹申威 雷未 叶永[1] ZHENG Baojing;ZOU Shenwei;LEI Wei;YE Yong(School of Hydraulic&Environmental Engineering,China Three Gorges Univ.,Yichang 443002,China)

机构地区：[1]三峡大学水利与环境学院,湖北宜昌443002

出　　处：《三峡大学学报（自然科学版）》2022年第4期24-28,共5页Journal of China Three Gorges University：Natural Sciences

基　　金：国家自然科学基金(11972216)。

摘　　要：渗流自由面的计算是土石坝安全设计中重要的研究内容.在土石坝非稳定饱和渗流场问题中,渗流自由面通常随时间呈动态变化,故属动边界问题.无网格法又因能摆脱网格束缚的局限性,在解决此类问题时具有非常明显的优势.本文采用基于滑动Kriging插值的无网格局部Petrov-Galerkin法(MLPG)求解上游水位随时间变化情况下土石坝的非稳定渗流问题,并利用Heaviside分段函数作为权函数,在求导积分方程中只需计算边界积分,从而大幅度减少计算周期.最后通过数值算例验证本文方法的有效性,计算结果表明本文方法在处理动边界问题时具有计算精度高和计算量小等特点.The calculation of the seepage free surface is an important research content in the safety design of earth-rock dams.In the problem of the unstable saturated seepage field of the earth-rock dam,the seepage free surface usually changes dynamically with time,so it is a dynamic boundary problem.The limitation of grid constraints has obvious advantages in solving such problems.In this paper,the meshless local Petrov-Galerkin method(MLPG)based on sliding Kriging interpolation is used to solve the instability of earth-rock dams when the upstream water level changes with time.For the seepage problem,and using the Heaviside piecewise function as the weight function,only the boundary integral needs to be calculated in the derivative integral equation,thereby greatly reducing the calculation period.Finally,the effectiveness of the method in this paper is verified by a numerical example.It has the characteristics of high calculation accuracy and small calculation amount when dealing with moving boundary problems.

关 键 词：渗流自由面 非稳定渗流 MLPG法 动边界问题 

分 类 号：TV31[水利工程—水工结构工程]