岩土力学2012，Vol.33Issue(9)：2857-2862,2868,7.
非饱和渗流问题的自适应欠松弛变量变换方法
Unsaturated seepage analysis using temporal adaptive transformation method with under-relaxation
摘要
Abstract
Finite element method is often used for solving unsaturated soil seepage problem. However, numerical difficulties such as slow convergence rate and inaccurate results are commonly existed in numerical analysis because of the highly nonlinear soil-water characteristic curve and hydraulic conductivity function. Based on a rational function transformation (RFT) method, a new temporal adaptive transformation method with under-relaxation (ATUR1) is proposed to solve the unsaturated soil seepage problem. It is shown that the transformation in ATUR1 can reduce the nonlinearity of solution profiles of the Richards' equation both spatially and temporally; thus the inefficiencies in the numerical solution process caused by these nonlinearities can be overcome. The under-relaxation technique can further increase the efficiency by curbing the oscillation tendency during iterations; and the temporal errors during the whole simulation can be controlled effectively by the automatic temporal adaptive scheme. Numerical examples show that the proposed ATUR1 method is a robust and efficient numerical method for practical unsaturated soil seepage simulation.关键词
非饱和渗流/有限元/变量变换/欠松弛/时间步长自适应Key words
unsaturated seepage/ finite elements/ variable transformation/ under-relaxation/ temporal adaptive分类
天文与地球科学引用本文复制引用
程勇刚,常晓林,李典庆,陈曦..非饱和渗流问题的自适应欠松弛变量变换方法[J].岩土力学,2012,33(9):2857-2862,2868,7.基金项目
国家自然科学基金项目(No.51028901) （No.51028901）
高等学校博士学科点专项科研基金资助课题(No.20110141120019) （No.20110141120019）
中国博士后科学基金资助项目(No.20110491214). （No.20110491214）
