Abstract
In the numerical analysis of the Laplace equation, which is the governing equation of the seepage phenomena of homogeneous, isotropic earth dams, it has been confirmed that numerical analysis with high accuracy is possible by using the interpolation finite difference method (IFDM). In a previous paper, based on this numerical analysis method, the equivalent Kozeny (KZ) flow method was proposed as a new empirical method to calculate the seepage discharges and free surface locations of earth dams. Although this method is generally a highly accurate method compared with the empirical method of A. Casagrande, owing to calculating the seepage problems within a few percentages of discharge relative errors, several additional studies are necessary. By integrating the finding of this study to the previous literature, an empirical seepage calculation system with high accuracy, the equivalent KZ flow method, is created. Owing to the finally proposed empirical method, called “interpolation-equivalent KZ flow method”, the discharge and free surface location can be predicted with high accuracy in a wide range.
Highlights
High-accuracy numerical analyses of seepage problems of earth dams have been implemented using the finite element method
By applying the interpolation finite difference method (IFDM), two- and three-dimensional elliptic partial differential equations (PDEs) over complex domains with high speed and high accuracy can be freely solved [1,2,3] The IFDM is composed of two kinds of methods [3] (1) Algebraic Polynomial
In a previous paper [5], we mainly focused on the estimated discharge and discussed the calculation accuracy of the empirical method
Summary
High-accuracy numerical analyses of seepage problems of earth dams have been implemented using the finite element method. Numerical analyses using the finite difference method (FDM) have been limited to cases where the calculation domains are comparatively simple. By applying the interpolation finite difference method (IFDM), two- and three-dimensional elliptic partial differential equations (PDEs) over complex domains with high speed and high accuracy can be freely solved [1,2,3] The IFDM is composed of two kinds of methods [3] (1) Algebraic Polynomial
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