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首页> 外文期刊>International journal of numerical methods for heat & fluid flow >Numerical solution of 2d seepage flow problem using discrete singular convolution method
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Numerical solution of 2d seepage flow problem using discrete singular convolution method

机译：离散奇异卷积法求解二维渗流问题

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Purpose - The purpose of this paper is to describe the implementation of discrete singular convolution (DSC) method to steady seepage flow while presenting one of the possible uses of DSC method in geotechnical engineering. It also aims to present the implementation of DSC to the problems with mixed boundary conditions. Design/methodology/approach - Second order spatial derivatives of potential and stream functions in Laplace's equation are discretized using the DSC method in which the regularized Shannon's delta kernel is used as an approximation to delta distribution. After implementation of boundary conditions, the system of equations is solved for the unknown terms. Findings - The results are compared with those obtained from the finite element method and the finite difference method. Originality/value - The method is applied to the flow problem through porous medium for the first time.
机译：目的-本文的目的是描述离散奇异卷积（DSC）方法对稳定渗流的实现，同时介绍DSC方法在岩土工程中的可能用途之一。它还旨在介绍DSC对混合边界条件问题的实现。设计/方法/方法-使用DSC方法离散化Laplace方程中势能和流函数的二阶空间导数，在该方法中，将正则化的Shannon三角洲内核用作三角洲分布的近似值。实施边界条件后，针对未知项求解方程组。结果-将结果与从有限元法和有限差分法获得的结果进行比较。原创性/价值-该方法首次应用于通过多孔介质的流动问题。

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