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为解决传统有限元方法很难处理复杂渗透介质的计算域这一问题,提出了有自由面渗流的无单元法。无单元法利用滑动最小二乘法来建立在全域高阶连续可导的插值函数,具有积分网格和节点相互独立的优点,可以避免有限元法中网格在迭代过程中变化的问题,实现了真正意义上的网格固定。计算实例表明,无单元法计算结果的精度较其他方法有所提高,并具有简单、灵活的优点。
In order to solve the problem that the traditional finite element method is difficult to deal with the computational domain of complex infiltration media, a unitless method with free surface seepage is proposed. The element-free method uses the sliding least square method to establish the continuous high-order non-linear interpolation function in the whole domain. It has the advantages of independent integration grid and nodes, and avoids the problem that the grid changes during iteration in the finite element method. The real sense of the grid fixed. The calculation example shows that the accuracy of element-free method is higher than other methods and has the advantages of simplicity and flexibility.