渗流计算中求解浸润线的自由面适应网格方法

渗流计算中的浸润线计算属于自由面求解问题，传统的求解自由面方法，多为改变网格去适应自由面在迭代过程中的变化。提出了自由面适应网格方法，该方法与传统方法相反，即在迭代求解过程中不改变网格而是让浸润线不断地去适应网格，采用网格映射的方法去确定浸润线，直至最后达到允许精度，得到要求的浸润线分布。结果表明，该方法具有计算简单，编程方便，精度较高等优点。采用本方法时，如果采用加密网格或者高阶映射的方法则可以进一步提高求解精度。

A Method of Water Free Surface Adapting Grid System to Simulate Phreatic Surface in Seepage Flow

Determination of the location of phreatic surface in seepage flow can be categorized as solving the problem on free surface. Most of the traditional methods used to determinate the free surface profile are based on modifying or changing the grid system to adapt the changing water surface during the iteration process. The method of free surface adapting grid system presented in this paper doesn't need to modify or change the grid system, whereas it maps free surface to grid nodes to determinate the final phreatic surface in certain precision. This method has such advantages as: easy to apply, convenient to programme, good precision,etc.. The precision of this method can be further improved, if dense mesh system or higher order mapping method is adopted.