摘要
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。
The traditional finite element method for seepage analysis with a free surface involves modification of the mesh when the surface changes. The elementfree method (EFM) for seepage analysis is a new numerical method based on the moving least square method which needs only the information at nodes, with the approximating function continuous with highorder differentials over the entire domain. The mesh for integral is irrelative to the nodes in the method. Thus, EFM avoids troublesome modifications of the mesh in the finite element method with a fixed mesh throughout the iterations in the process of free surface determination. An example shows that the proposed method gives satisfactory results with easiness, flexibility and better precision.
出处
《清华大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2002年第11期1552-1555,共4页
Journal of Tsinghua University(Science and Technology)
基金
国家自然科学基金委员会与长江水利委员会联合资助项目(50099620)
