论文部分内容阅读
提出了求解有自由面渗流问题的三维数值流形方法,通过构造任意形状流形单元的水头函数,推导了流形单元的渗透矩阵和无压渗流分析的总体控制方程,并给出了自由面的迭代求解策略和渗透体积力的计算方法。典型算例的数值分析表明,该方法采用数学网格覆盖整个材料区域,在自由面的迭代求解过程中数学网格保持不变,只考虑自由面以下渗流区的介质,只对自由面以下的流形单元形成总体渗透矩阵,具有精度高、收敛速度快、编程简单等优点,而且能够通过单纯形积分精确计算被自由面穿越单元的渗透作用力,因此,特别适用于有自由面渗流问题的模拟。
A three-dimensional numerical manifold method is proposed to solve the seepage problem with free surface. By constructing the head function of manifold elements with arbitrary shape, the governing equations of infiltration matrix and pressureless seepage flow of manifold elements are deduced. The free surface Iterative solution strategy and calculation method of penetration volume force. The numerical analysis of typical examples shows that the method uses a mathematical grid to cover the entire material area. The mathematical grid remains unchanged during the iterative solution of the free surface, and only the medium in the seepage zone below the free surface is considered, Manifold units form the general infiltration matrix, which has the advantages of high accuracy, fast convergence, simple programming, etc., and can accurately calculate the infiltration forces of the free surface through the unit by simplex integral. Therefore, it is especially suitable for the seepage problems with free surface simulation.