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Numerical Manifold method(NMM)[1] consists of three parts: (1) Mathematical Cover and Physical Cover, which allows the interpolation grid and the integral grid to be separated to facilitate the processing of strong discontinuities problem; (2) Numerical Manifold Method Space, numerical manifold method extends the finite element space, and a function space can be defined on each physical piece; (3) Unit decomposition function. Therefore, numerical manifold method is easy to deal with seepage problem[2-5], and can construct local special physical patch at singular point[4].

The Application of Numerical Manifold Method to the Turning Point Singularity Problem in Seepage