TY - JOUR ID - 1510 TI - Method of Fundamental Solution (MFS) coupled with particle swarm optimization (PSO) to determine optimal phreatic line in unconfined seepage problem JO - Scientia Iranica JA - SCI LA - en SN - 1026-3098 AU - Shahrokhabadi, Sh. AU - Ahmadi, Ali R . AD - Civil Engineering Department, Vali-e-Asr University of Rafsanjan, Rafsanjan, P.O. Box: 518, Iran AD - Kerman Graduate University of Technology, Kerman, P.O. Box: 76315-117, Iran Y1 - 2013 PY - 2013 VL - 20 IS - 5 SP - 1327 EP - 1336 KW - mesh-free KW - particle swarm optimization (PSO) KW - Method of Fundamental Solution (MFS) KW - Radial Basis Function (RBF) DO - N2 - In this research, Method of Fundamental Solution (MFS) is coupled with Particle Swarm Optimization (PSO) technique to determine the optimal phreatic line in unconfined seepage problems. To model the unconfined boundary (phreatic line), a formulation with floating geometry is derived. Regarding the use of fundamental solution of the Laplace equation, expressed in the Radial Basis Functions (RBF), a boundary type of the mesh-free method can be established. In this research an objective function, based on principle of minimum potential energy, is formed to control the position of unconfined boundary. MFS and PSO are utilized simultaneously to fit the phreatic line using 4thdegree polynomials, satisfying the flow continuity and energy principle. Efficiency and accuracy of the proposed method are verified through examples. The obtained results are in a good agreement with other numerical and experimental models. UR - https://scientiairanica.sharif.edu/article_1510.html L1 - https://scientiairanica.sharif.edu/article_1510_30f0e7712e8203476638bf11a10981b2.pdf ER -