摘要
渗流计算对土石坝安全问题研究具有重要作用,传统的坝体渗流计算多是采用基于宏观模型的有限差分法、有限元法等。本文将基于介观模型的格子玻尔兹曼方法(LBM)应用于坝体渗流计算中,通过矩形坝体和梯形坝体两个模型,对坝体内浸润线和渗透压力等进行了模拟,计算结果与传统的有限元方法相一致,证明了LBM在坝体渗流计算中的可行性、可靠性,而LBM方法编程简单,边界条件处理简单,且具有天然的并行特性,因此在大型渗流计算中具有优越性。
Seepage calculation plays an important role in studying the safety of earth-rock dams. Traditional seepage calculation is based on the macroscopic models such as finite difference method (FDM) and finite element method (FEM). In this study, the lattice Boltzmann method (LBM) based on mesoscopic model is introduced to calculate the seepage flow of dams. Taking the two models of the rectangular dam and trapezoidal dam, the phreatic surface and seepage pressure of dams are simulated and calculated. The results are in good agreement with those of traditional finite element method, which proves the feasibility and reliability of LBM in the seepage calculation of dams. In addition, LBM is simple in programming, simple in boundary condition processing and has natural parallel characteristics, so it is superior in large seepage calculation.
出处
《中国农村水利水电》
北大核心
2017年第10期98-103,共6页
China Rural Water and Hydropower
基金
国家自然科学青年基金(51209154)
国家重点研发计划课题(2016YFC0401705)
关键词
格子玻尔兹曼方法
浸润线
渗透压力
渗流
lattice Boltzmann method (LBM)
phreatic surface
water pressure
seepage flow