The method of fundamental solutions for solving free boundary saturated seepage problem |
| |
| Authors: | Khomgris ChaiyoPhadungsak Rattanadecho Somchart Chantasiriwan |
| |
| Affiliation: | Research Center of Microwave Utilization in Engineering (R.C.M.E.), Department of Mechanical Engineering, Faculty of Engineering, Thammasat University (Rangsit Campus), Pathumthani 12120, Thailand |
| |
| Abstract: | The problem of seepage flow through a dam is free boundary problem that is more conveniently solved by a meshless method than a mesh-based method such as finite element method (FEM) and finite difference method (FDM). This paper presents method of fundamental solutions, which is one kind of meshless methods, to solve a dam problem using the fundamental solution to the Laplace's equation. Solutions on free boundary are determined by iteration and cubic spline interpolation. The numerical solutions then are compared with the boundary element method (BEM), FDM and FEM to display the performance of present method. |
| |
| Keywords: | Method of fundamental solutions Seepage Free boundary Saturated porous medium |
| 本文献已被 ScienceDirect 等数据库收录！ |
