A New Method to Deal with Weak Discontinuous Interface in Seepage Analysis Based on Numerical Manifold Method
The numerical manifold method is a promising numerical method which uses a dual coverage system con-sisting of both mathematical and physical coverages.It has the advantages of flexible handling of boundary prob-lems,efficient meshing and convenient improvement of approximation accuracy.Different from the traditional nu-merical manifold method which cuts the mathematical coverage to form the physical coverage according to the inter-face,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.
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