A New Method to Deal with Weak Discontinuous Interface in Seepage Analysis Based on Numerical Manifold Method

doi:10.11988/ckyyb.20230742

Abstract

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

CLC Number:

TU43土力学

JIA Zhen, YANG Dong-mei, ZHENG Hong. A New Method to Deal with Weak Discontinuous Interface in Seepage Analysis Based on Numerical Manifold Method[J]. Journal of Changjiang River Scientific Research Institute, 2024, 41(12): 133-137.

Figures/Tables 9

Fig.1 Modelling of the problem domain with two materials based on NMM

Fig.2 Weak-discontinuous ME

Fig.3 Diagram of the weight function of weak-discontinuous ME

Fig.4 Sizes of single material interface

Fig.5 Meshing and hydraulic head distribution

Fig.6 Comparison of our solution and analytical solution at profile y=1 m

Fig.7 Sizes of multilayer material medium and meshing

Fig.8 Flow net of multilayer material medium

Fig.9 Comparison of flow at different cross sections between our solution and FEM

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