Seepage Analysis with Discrete Singular Convolution Method

In this paper, seepage analysis in isotropic environment is presented by discrete singular convolution (DSC) method. This method has been used for solving numerical problems since 1999. The theoretical basis of the method is distribution and wavelet theory. DSC exhibits accuracy for integration of global methods and flexibility for handling complex geometries and boundary conditions of local methods. At first, a simple case governed by Laplace equation and regularized Shannon’s kernel is considered to show the accuracy and efficiency of DSC method through L? and L2 errors. Seepage under concrete dam with or without sheet-pile is then solved through two different case studies. The results of this method against finite difference results are considered. The results show that this method is more accurate than finite difference method with reception of more operation value and optimization of R parameter.