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本文介绍一种求解在蒸发和排水双重作用下具有自由表面的垂直剖面二维非稳定渗流场的有限元计算程序AGP。它具有自动剖分单元网格的功能,可以在每一计算时段较为合理地剖分单元。这对连续求解各个时段的渗流场,具有明显的意义。AGP程序采用对非稳定渗流场的自由面方程进行有限差分和有限元结合的离散方式,由前一时段的水头分布推求下一时段的自由面位置,用解稳定场的方法解决了非稳定场的问题。计算实例表明:这种有限元解与野外实测结果符合较好。用它分析暗管排水的理论及工程问题,可以得到比较满意的结果。
This paper introduces a finite element program AGP for solving two-dimensional unsteady seepage field of vertical section with free surface under the dual action of evaporation and drainage. It has the function of automatically meshing cells, which can divide the cells more reasonably in each calculation period. This is of great significance for the continuous solution of the seepage field in each period. The AGP program uses the finite difference and finite element combination of the free surface equations of the unsteady seepage field. The head position of the next period is deduced from the head distribution of the previous period, and the unsteady field The problem. The calculation example shows that this finite element solution is in good agreement with the field test results. Use it to analyze the theory and engineering of underground pipe drainage, can get more satisfactory results.