岩土工程数值计算中的无网格方法及其全自动布点技术

Meshless method for numerical calculation of geotechnical engineering and its uauto-arrangement of discrete nodes

自然单元法采用无网格的思想全域构造插值函数,它的求解精度高,计算时间少,可准确地施加边界条件,兼具有无网格法和有限单元法的优点和特点,是一种理想的用于岩土及地下工程分析计算的数值方法。文中简要地介绍了自然单元法的基本理论,并针对岩土及地下工程问题特点,给出了一种无网格离散点的全自动布置方法。

The natural element method(NEM), which can possess the characters and advantages of finite element method and other meshless method, is a perfect meshless method in the numerical analysis of geotechnical engineering. In NEM, the whole interpolations are constructed with respect to the Voronoi tessellation of the given point, the essential boundary conditions can be exactly enforced, and the time cost is little higher than the finite element method. The basic theory and application of NEM are introduced. According to the speciality of geotechnical engineering, the auto-arrangement method of discrete nodes is also given for the analysis of meshless method.