关键词: 数值流形法, 渗流分析, 非均质, 材料界面, 折射定律, 弱不连续

Abstract:

The numerical manifold method is a promising numerical method which uses a dual coverage system consisting of both mathematical and physical coverages. It has the advantages of flexible handling of boundary problems, efficient meshing and convenient improvement of approximation accuracy. Different from the traditional numerical manifold method which cuts the mathematical coverage to form the physical coverage according to the interface, a new weight function is constructed by using the refraction law in the manifold element to establish the local approximation based on the weak discontinuous physical coverage, and it is applied to the steady seepage problem. The accuracy and convenience of the method in solving discontinuous interface problems is demonstrated through the analysis of the calculation of typical seepage flow problems.

Key words: numerical manifold method, seepage analysis, heterogeneity, material interface, refraction law, weak discontinuous