RESEARCH ON IMPROVED CUT-OFF NEGATIVE PRESSURE METHOD FOR UNSTEADY SEEPAGE FLOW WITH FREE SURFACE

The cut-off negative pressure method is one of effective approaches to solve the seepage flow with free surface. According to the characteristics of this method, however, it has been found out that the deficiency of the algorithms is to easily cause inaccurate simulation in the vicinity of free surface owing to the penalty function with only one controlling penalty parameter. Therefore, an improved cut-off pressure method was presented by constructing penalty function with two controlling penalty parameters. The improved algorithms were illustrated to be able to improve the simulation accuracy and raise the convergence speed through considering the effects of the partially saturated or unsaturated elements more reasonably and calculating the nodal external forces more accurately. Finally, the improved cut-off negative pressure method was applied to the simulation of unsteady seepage flow with free surface, and the corresponding program codes were developed with validation of some cases.

有自由面非稳定渗流分析的改进截止负压法

截止负压法是求解有自由面渗流问题较为有效的算法之一。针对其算法特点,结合渗流本质,指出该算法的不足之处在于只引用了单参数的罚函数,从而造成自由面附近区域的渗流计算不够精确。为此,提出了引用双参数罚函数的改进截止负压法,改进后的算法更能准确地考虑单元的部分饱和非饱和作用,精确地计算单元结点外力或者结点不平衡力,进而提高计算精度和收敛速度。最后,将改进算法用于求解有自由面非稳定渗流问题,编制了相应的有限元分析程序,并通过算例进行验证。