کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1706277 | 1012455 | 2011 | 17 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Unsteady seepage analysis using local radial basis function-based differential quadrature method Unsteady seepage analysis using local radial basis function-based differential quadrature method](/preview/png/1706277.png)
Numerical simulation of two-dimensional transient seepage is developed using radial basis function-based differential quadrature method (RBF-DQ). To the best of the authors’ knowledge, this is the first application of this method to seepage analysis. For the general case of irregular geometry and unstructured node distribution, the local form of RBF-DQ was used. The multiquadric type of radial basis functions was selected for the computations, and the results were compared with analytical, finite element method, and existing numerical solutions from the literature. Results of this study show that localized RBF-DQ can produce accurate results for the analysis of seepage. The method is meshfree and easy to program, but as with previous applications of RBFs, requires careful selection of suitable shape parameters. A practical method for estimating suitable shape parameters is discussed. For time integration, Crank–Nicolson, Galerkin and finite difference methods were applied, leading to stable results.
Journal: Applied Mathematical Modelling - Volume 35, Issue 10, October 2011, Pages 4934–4950